From 4fe7bd1698b8990700ba3ac93b001012c9dffb8d Mon Sep 17 00:00:00 2001
From: DrTimothyAldenDavis <DrTimothyAldenDavis@gmail.com>
Date: Fri, 30 Aug 2024 17:16:42 +0000
Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20GraphBLA?=
 =?UTF-8?q?S/LAGraph@cc56ed45880440d5d059564e9be449cb5020ea00=20?=
 =?UTF-8?q?=F0=9F=9A=80?=
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Content-Type: text/plain; charset=UTF-8
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 .../LAGraph_Random_Matrix.c.func-sort-c.html  |   80 ++
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+++ b/experimental/algorithm/LAGraph_AllKCore.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKCore.c<span style="font-size: 80%;"> (<a href="LAGraph_AllKCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_AllKCore.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_AllKCore.c.gcov.html#33">LAGraph_KCore_All</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_AllKCore.c.func.html b/experimental/algorithm/LAGraph_AllKCore.c.func.html
new file mode 100644
index 0000000000..4baab46f1b
--- /dev/null
+++ b/experimental/algorithm/LAGraph_AllKCore.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKCore.c<span style="font-size: 80%;"> (<a href="LAGraph_AllKCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_AllKCore.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_AllKCore.c.gcov.html#33">LAGraph_KCore_All</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_AllKCore.c.gcov.html b/experimental/algorithm/LAGraph_AllKCore.c.gcov.html
new file mode 100644
index 0000000000..9740ff35e4
--- /dev/null
+++ b/experimental/algorithm/LAGraph_AllKCore.c.gcov.html
@@ -0,0 +1,226 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKCore.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKCore.c<span style="font-size: 80%;"> (source / <a href="LAGraph_AllKCore.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_AllKCore: Full K-core Decomposition Using the GraphBLAS API</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_WORK                \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                                   \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;deg) ;               \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     GrB_free (&amp;q) ;                 \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     GrB_free (&amp;delta) ;             \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     GrB_free (&amp;done) ;              \</a>
+<a name="24"><span class="lineNum">      24 </span>            : }</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="27"><span class="lineNum">      27 </span>            : {                                   \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LG_FREE_WORK                    \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (decomp) ;             \</a>
+<a name="30"><span class="lineNum">      30 </span>            : }</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          6 : int LAGraph_KCore_All</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : (</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // outputs:</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_Vector *decomp,     // kcore decomposition</a>
+<a name="39"><span class="lineNum">      39 </span>            :     uint64_t *kmax,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // inputs:</a>
+<a name="41"><span class="lineNum">      41 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="42"><span class="lineNum">      42 </span>            :     char *msg</a>
+<a name="43"><span class="lineNum">      43 </span>            : )</a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          6 :     LG_CLEAR_MSG ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     // declare items</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          6 :     GrB_Matrix A = NULL;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          6 :     GrB_Vector deg = NULL, q = NULL, done = NULL, delta = NULL;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          6 :     LG_ASSERT (decomp != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          5 :     (*decomp) = NULL ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          5 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          4 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          2 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          2 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :     {</a>
+<a name="60"><span class="lineNum">      60 </span>            :          // the structure of A is known to be symmetric</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          3 :         A = G-&gt;A ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :     }</a>
+<a name="63"><span class="lineNum">      63 </span>            :     else</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span>            :         // A is not known to be symmetric</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     }</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            :     // no self edges can be present</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          3 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //create work scalars</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          2 :     uint64_t level = 0; //don't set at 1 in case of empty graph getting returned as kmax = 1</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_Index n, todo, nvals, maxDeg ;</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_nrows(&amp;n, A)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     //create deg vector using out_degree property</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Cached_OutDegree(G, msg)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_dup(&amp;deg, G-&gt;out_degree)) ; //original deg vector is technically 1-core since 0 is omitted</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_nvals(&amp;todo, deg)) ; //use todo instead of n since some values are omitted (1-core)</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     //retrieve the max degree level of the graph</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce(&amp;maxDeg, GrB_NULL, GrB_MAX_MONOID_INT64, G-&gt;out_degree, GrB_NULL)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            :     //select int type for work vectors and semirings</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          2 :     GrB_Type int_type  = (maxDeg &gt; INT32_MAX) ? GrB_INT64 : GrB_INT32 ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new(&amp;q, int_type, n));</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new(&amp;done, GrB_BOOL, n)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new(&amp;delta, int_type, n)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     //set output to int64</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new(decomp, int_type, n)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     //change deg vector to int32 if needed</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          2 :     if(int_type == GrB_INT32){</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          2 :         GrB_free (&amp;deg) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          2 :         GRB_TRY (GrB_Vector_new(&amp;deg, int_type, n)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          2 :         GRB_TRY (GrB_assign (deg, G-&gt;out_degree, NULL, G-&gt;out_degree, GrB_ALL, n, NULL)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     }</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :     // determine semiring types</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          2 :     GrB_IndexUnaryOp valueEQ = (maxDeg &gt; INT32_MAX) ? GrB_VALUEEQ_INT64 : GrB_VALUEEQ_INT32 ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          2 :     GrB_IndexUnaryOp valueLE = (maxDeg &gt; INT32_MAX) ? GrB_VALUELE_INT64 : GrB_VALUELE_INT32 ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          2 :     GrB_BinaryOp minus_op = (maxDeg &gt; INT32_MAX) ? GrB_MINUS_INT64 : GrB_MINUS_INT32 ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          2 :     GrB_Semiring semiring = (maxDeg &gt; INT32_MAX) ? LAGraph_plus_one_int64 : LAGraph_plus_one_int32 ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span>            : #if LG_SUITESPARSE</a>
+<a name="109"><span class="lineNum">     109 </span>            :     GRB_TRY (GxB_set (done, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ;    // try this</a>
+<a name="110"><span class="lineNum">     110 </span>            :     //GRB_TRY (GxB_set (*decomp, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ; // try this ... likely not needed...</a>
+<a name="111"><span class="lineNum">     111 </span>            : #endif</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            :     //printf (&quot;\n================================== COMPUTING GrB_KCORE: ==================================\n&quot;) ;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         12 :     while(todo &gt; 0){</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :         //printf(&quot;Level: %ld, todo: %ld\n&quot;, level, todo) ;</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         10 :         level++;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :         // Creating q</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         10 :         GRB_TRY (GrB_select (q, GrB_NULL, GrB_NULL, valueEQ, deg, level, GrB_NULL)) ; // get all nodes with degree = level</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         10 :         GRB_TRY (GrB_Vector_nvals(&amp;nvals, q));</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :         //Assign values of deg into decomp (output)</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         10 :         GRB_TRY (GrB_assign (*decomp, deg, NULL, level, GrB_ALL, n, GrB_NULL)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         10 :         int round = 0;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :         // while q not empty</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         24 :         while(nvals &gt; 0){</span></a>
+<a name="127"><span class="lineNum">     127 </span>            :             // Decrease todo by number of nvals</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         14 :             todo = todo - nvals ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :             //add anything in q as true into the done list</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         14 :             GRB_TRY (GrB_assign (done, q, NULL, (bool) true, GrB_ALL, n, GrB_DESC_S)) ; //structure to take care of 0-node cases</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :             // Create delta (the nodes who lost friends, and how many they lost)</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         14 :             GRB_TRY (GrB_vxm (delta, GrB_NULL, GrB_NULL, semiring, q, A, GrB_NULL));</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span>            :             // Create new deg vector (keep anything not in done vector w/ replace command)</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         14 :             GRB_TRY (GrB_eWiseAdd(deg, done, GrB_NULL, minus_op, deg, delta, GrB_DESC_RSC /* try GrB_DESC_RSC */)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :             // Update q, set new nvals</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         14 :             GRB_TRY (GrB_select (q, GrB_NULL, GrB_NULL, valueLE, deg, level, GrB_NULL)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         14 :             GRB_TRY (GrB_Vector_nvals(&amp;nvals, q)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         14 :             round++;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :         }</a>
+<a name="144"><span class="lineNum">     144 </span>            :     }</a>
+<a name="145"><span class="lineNum">     145 </span>            :     //set kmax</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          2 :     (*kmax) = level;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          2 :     LG_FREE_WORK ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          2 :     return (GrB_SUCCESS) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_AllKTruss.c.func-sort-c.html b/experimental/algorithm/LAGraph_AllKTruss.c.func-sort-c.html
new file mode 100644
index 0000000000..d0453b2ed9
--- /dev/null
+++ b/experimental/algorithm/LAGraph_AllKTruss.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKTruss.c<span style="font-size: 80%;"> (<a href="LAGraph_AllKTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_AllKTruss.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_AllKTruss.c.gcov.html#69">LAGraph_AllKTruss</a></td>
+              <td class="coverFnHi">22</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_AllKTruss.c.func.html b/experimental/algorithm/LAGraph_AllKTruss.c.func.html
new file mode 100644
index 0000000000..63e3e7c6e0
--- /dev/null
+++ b/experimental/algorithm/LAGraph_AllKTruss.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKTruss.c<span style="font-size: 80%;"> (<a href="LAGraph_AllKTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_AllKTruss.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_AllKTruss.c.gcov.html#69">LAGraph_AllKTruss</a></td>
+              <td class="coverFnHi">22</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/experimental/algorithm/LAGraph_AllKTruss.c.gcov.html b/experimental/algorithm/LAGraph_AllKTruss.c.gcov.html
new file mode 100644
index 0000000000..48bb76a447
--- /dev/null
+++ b/experimental/algorithm/LAGraph_AllKTruss.c.gcov.html
@@ -0,0 +1,256 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_AllKTruss.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_AllKTruss.c<span style="font-size: 80%;"> (source / <a href="LAGraph_AllKTruss.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_AllKTruss.c: find all k-trusses of a graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_AllKTruss: find all k-trusses of a graph via GraphBLAS.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // Given a symmetric graph A with no-self edges, LAGraph_AllKTruss finds all</a>
+<a name="21"><span class="lineNum">      21 </span>            : // k-trusses of A.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // The output matrices Cset [3..kmax-1] are the k-trusses of A.  Their edges</a>
+<a name="24"><span class="lineNum">      24 </span>            : // are a subset of A.  Each edge in C = Cset [k] is part of at least k-2</a>
+<a name="25"><span class="lineNum">      25 </span>            : // triangles in C.  The structure of C is the adjacency matrix of the k-truss</a>
+<a name="26"><span class="lineNum">      26 </span>            : // subgraph of A.  The edge weights of C are the support of each edge.  That</a>
+<a name="27"><span class="lineNum">      27 </span>            : // is, C(i,j)=nt if the edge (i,j) is part of nt triangles in C.  All edges in</a>
+<a name="28"><span class="lineNum">      28 </span>            : // C have support of at least k-2.  The total number of triangles in C is</a>
+<a name="29"><span class="lineNum">      29 </span>            : // sum(C)/6.  The number of edges in C is nnz(C)/2.  C = Cset [k] is returned</a>
+<a name="30"><span class="lineNum">      30 </span>            : // as symmetric with a zero-free diagonal.  Cset [kmax] is an empty matrix</a>
+<a name="31"><span class="lineNum">      31 </span>            : // since the kmax-truss is empty.</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : // The arrays ntris, nedges, and nstepss hold the output statistics.</a>
+<a name="34"><span class="lineNum">      34 </span>            : // ntris   [k] = # of triangles in the k-truss</a>
+<a name="35"><span class="lineNum">      35 </span>            : // nedges  [k] = # of edges in the k-truss</a>
+<a name="36"><span class="lineNum">      36 </span>            : // nstepss [k] = # of steps required to compute the k-truss</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // Usage: constructs all k-trusses of A, for k = 3:kmax</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : //      int64_t kmax ;</a>
+<a name="41"><span class="lineNum">      41 </span>            : //      GrB_Matrix_nrows (&amp;n, A) ;</a>
+<a name="42"><span class="lineNum">      42 </span>            : //      int64_t n4 = (n &gt; 4) ? n : 4 ;</a>
+<a name="43"><span class="lineNum">      43 </span>            : //      GrB_Matrix *Cset = LAGraph_malloc (n4, sizeof (GrB_Matrix)) ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : //      int64_t *ntris   = LAGraph_malloc (n4, sizeof (int64_t)) ;</a>
+<a name="45"><span class="lineNum">      45 </span>            : //      int64_t *nedges  = LAGraph_malloc (n4, sizeof (int64_t)) ;</a>
+<a name="46"><span class="lineNum">      46 </span>            : //      int64_t *nstepss = LAGraph_malloc (n4, sizeof (int64_t)) ;</a>
+<a name="47"><span class="lineNum">      47 </span>            : //      int result = LAGraph_AllKTruss (&amp;Cset, &amp;kmax, ntris, nedges,</a>
+<a name="48"><span class="lineNum">      48 </span>            : //          nstepss, G, msg) ;</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : // todo: add experimental/benchmark/ktruss_demo.c to benchmark k-truss</a>
+<a name="51"><span class="lineNum">      51 </span>            : // and all-k-truss</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : // todo: consider LAGraph_KTrussNext to compute the (k+1)-truss from the</a>
+<a name="54"><span class="lineNum">      54 </span>            : // k-truss</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="57"><span class="lineNum">      57 </span>            : {                                           \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     for (int64_t kk = 3 ; kk &lt;= k ; kk++)   \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     {                                       \</a>
+<a name="60"><span class="lineNum">      60 </span>            :         GrB_free (&amp;(Cset [kk])) ;           \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     }                                       \</a>
+<a name="62"><span class="lineNum">      62 </span>            : }</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="65"><span class="lineNum">      65 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : //------------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : // C = LAGraph_AllKTruss: find all k-trusses a graph</a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         22 : int LAGraph_AllKTruss   // compute all k-trusses of a graph</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : (</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // outputs</a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_Matrix *Cset,   // size n, output k-truss subgraphs</a>
+<a name="75"><span class="lineNum">      75 </span>            :     int64_t *kmax,      // smallest k where k-truss is empty</a>
+<a name="76"><span class="lineNum">      76 </span>            :     int64_t *ntris,     // size max(n,4), ntris [k] is #triangles in k-truss</a>
+<a name="77"><span class="lineNum">      77 </span>            :     int64_t *nedges,    // size max(n,4), nedges [k] is #edges in k-truss</a>
+<a name="78"><span class="lineNum">      78 </span>            :     int64_t *nstepss,   // size max(n,4), nstepss [k] is #steps for k-truss</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // input</a>
+<a name="80"><span class="lineNum">      80 </span>            :     LAGraph_Graph G,    // input graph</a>
+<a name="81"><span class="lineNum">      81 </span>            :     char *msg</a>
+<a name="82"><span class="lineNum">      82 </span>            : )</a>
+<a name="83"><span class="lineNum">      83 </span>            : {</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            :     // check inputs</a>
+<a name="87"><span class="lineNum">      87 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         22 :     LG_CLEAR_MSG ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         22 :     int64_t k = 0 ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         22 :     LG_ASSERT (Cset != NULL &amp;&amp; nstepss != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         22 :     LG_ASSERT (kmax != NULL &amp;&amp; ntris != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         21 :     LG_ASSERT (nedges != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         21 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         20 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         10 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         10 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     {</a>
+<a name="100"><span class="lineNum">     100 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="101"><span class="lineNum">     101 </span>            :         ;</a>
+<a name="102"><span class="lineNum">     102 </span>            :     }</a>
+<a name="103"><span class="lineNum">     103 </span>            :     else</a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // A is not known to be symmetric</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :     }</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // no self edges can be present</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         19 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="113"><span class="lineNum">     113 </span>            :     // initializations</a>
+<a name="114"><span class="lineNum">     114 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         90 :     for (k = 0 ; k &lt;= 3 ; k++)</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     {</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         72 :         Cset [k] = NULL ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         72 :         ntris   [k] = 0 ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         72 :         nedges  [k] = 0 ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         72 :         nstepss [k] = 0 ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :     }</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         18 :     k = 3 ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         18 :     (*kmax) = 0 ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            :     // initialzations</a>
+<a name="128"><span class="lineNum">     128 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     GrB_Index n ;</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         18 :     GrB_Matrix S = G-&gt;A ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         18 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, S)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         18 :     GRB_TRY (GrB_Matrix_new (&amp;(Cset [k]), GrB_UINT32, n, n)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         18 :     GrB_Matrix C = Cset [k] ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :     GrB_Index nvals, nvals_last ;</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         18 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals_last, S)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         18 :     int64_t nsteps = 0 ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            :     // find all k-trusses</a>
+<a name="141"><span class="lineNum">     141 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :     while (true)</a>
+<a name="144"><span class="lineNum">     144 </span>            :     {</a>
+<a name="145"><span class="lineNum">     145 </span>            :         // C{S} = S*S'</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        434 :         GRB_TRY (GrB_mxm (C, S, NULL, LAGraph_plus_one_uint32, S, S,</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :             GrB_DESC_RST1)) ;</a>
+<a name="148"><span class="lineNum">     148 </span>            :         // keep entries in C that are &gt;= k-2</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        434 :         GRB_TRY (GrB_select (C, NULL, NULL, GrB_VALUEGE_UINT32, C, k-2, NULL)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        434 :         nsteps++ ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :         // check if k-truss has been found</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        434 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals, C)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        434 :         if (nvals == nvals_last)</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :         {</a>
+<a name="155"><span class="lineNum">     155 </span>            :             // k-truss has been found</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         96 :             int64_t nt = 0 ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">        114 :             GRB_TRY (GrB_reduce (&amp;nt, NULL, GrB_PLUS_MONOID_INT64, C, NULL)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         96 :             ntris   [k] = nt / 6 ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         96 :             nedges  [k] = nvals / 2 ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         96 :             nstepss [k] = nsteps ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         96 :             nsteps = 0 ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         96 :             if (nvals == 0)</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :             {</a>
+<a name="164"><span class="lineNum">     164 </span>            :                 // this is the last k-truss</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         18 :                 (*kmax) = k ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         18 :                 return (GrB_SUCCESS) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :             }</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         78 :             S = C ;             // S = current k-truss for k+1 iteration</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         78 :             k++ ;               // advance to the next k-tryss</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         78 :             GRB_TRY (GrB_Matrix_new (&amp;(Cset [k]), GrB_UINT32, n, n)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         78 :             C = Cset [k] ;      // C = new matrix for next k-truss</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :         }</a>
+<a name="173"><span class="lineNum">     173 </span>            :         else</a>
+<a name="174"><span class="lineNum">     174 </span>            :         {</a>
+<a name="175"><span class="lineNum">     175 </span>            :             // advance to the next step, still computing the current k-truss</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">        338 :             nvals_last = nvals ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">        338 :             S = C ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :         }</a>
+<a name="179"><span class="lineNum">     179 </span>            :     }</a>
+<a name="180"><span class="lineNum">     180 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_basic.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_basic.c.func-sort-c.html
new file mode 100644
index 0000000000..4d9167c756
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_basic.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_basic.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_basic.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
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+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
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+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
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+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
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+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_basic: Bellman-Ford method for single source shortest paths</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_basic: Bellman-Ford single source shortest paths, returning just</a>
+<a name="19"><span class="lineNum">      19 </span>            : // the shortest path lengths.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_basic performs a Bellman-Ford to find out shortest path length</a>
+<a name="22"><span class="lineNum">      22 </span>            : // from given source vertex s in the range of [0, n) on graph given as matrix A</a>
+<a name="23"><span class="lineNum">      23 </span>            : // with size n by n. The sparse matrix A has entry A(i, j) if there is edge from</a>
+<a name="24"><span class="lineNum">      24 </span>            : // vertex i to vertex j with weight w, then A(i, j) = w. Furthermore,</a>
+<a name="25"><span class="lineNum">      25 </span>            : // LAGraph_BF_basic requires A(i, i) = 0 for all 0 &lt;= i &lt; n.</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // LAGraph_BF_basic returns GrB_SUCCESS regardless of existence of</a>
+<a name="28"><span class="lineNum">      28 </span>            : // negative-weight cycle. However, the GrB_Vector d(k) (i.e., *pd_output) will</a>
+<a name="29"><span class="lineNum">      29 </span>            : // be NULL when negative-weight cycle detected. Otherwise, the vector d has</a>
+<a name="30"><span class="lineNum">      30 </span>            : // d(k) as the shortest distance from s to k.</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : #define LG_FREE_ALL        \</a>
+<a name="35"><span class="lineNum">      35 </span>            : {                          \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free(&amp;d) ;         \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free(&amp;dtmp) ;      \</a>
+<a name="38"><span class="lineNum">      38 </span>            : }</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="41"><span class="lineNum">      41 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="44"><span class="lineNum">      44 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="45"><span class="lineNum">      45 </span>            : // of shortest paths from s as vector d. Otherwise, return d=NULL if there is</a>
+<a name="46"><span class="lineNum">      46 </span>            : // negative-weight cycle.</a>
+<a name="47"><span class="lineNum">      47 </span>            : // pd_output = &amp;d, where d is a GrB_Vector with d(k) as the shortest distance</a>
+<a name="48"><span class="lineNum">      48 </span>            : // from s to k when no negative-weight cycle detected, otherwise, d = NULL.</a>
+<a name="49"><span class="lineNum">      49 </span>            : // A has zeros on diagonal and weights on corresponding entries of edges</a>
+<a name="50"><span class="lineNum">      50 </span>            : // s is given index for source vertex</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_basic</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : (</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="54"><span class="lineNum">      54 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="55"><span class="lineNum">      55 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="56"><span class="lineNum">      56 </span>            : )</a>
+<a name="57"><span class="lineNum">      57 </span>            : {</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_Info info;</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_Index nrows, ncols;</a>
+<a name="61"><span class="lineNum">      61 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dtmp = NULL;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          5 :     LG_ASSERT (A != NULL &amp;&amp; pd_output != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          5 :     *pd_output = NULL;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          5 :     GrB_Index n = nrows;           // n = # of vertices in graph</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     // Initialize distance vector, change the d[s] to 0</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, GrB_FP64, n));</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_FP64(d, 0, s));</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          5 :     int64_t iter = 0;      //number of iterations</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :     bool same = false;     //variable indicating if d=dtmp</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     // terminate when no new path is found or more than n-1 loops</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         93 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :     {</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         88 :         double t = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // execute semiring on d and A, and save the result to d</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         88 :         GRB_TRY (GrB_vxm(dtmp, GrB_NULL, GrB_NULL, GrB_MIN_PLUS_SEMIRING_FP64, d, A,</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :             GrB_NULL));</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         88 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         88 :         if (!same)</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :         {</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         85 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         85 :             dtmp = d;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         85 :             d = ttmp;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :         }</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         88 :         iter++;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         88 :         t = LAGraph_WallClockTime ( ) - t ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         GrB_Index dnz ;</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         88 :         GRB_TRY (GrB_Vector_nvals (&amp;dnz, d)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : //      printf (&quot;step %3d time %16.4f sec, nvals %.16g\n&quot;, iter, t, (double) dnz);</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         88 :         fflush (stdout) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     }</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="108"><span class="lineNum">     108 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          5 :     if (!same)</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     {</a>
+<a name="111"><span class="lineNum">     111 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          2 :         GRB_TRY (GrB_vxm(dtmp, GrB_NULL, GrB_NULL, GrB_MIN_PLUS_SEMIRING_FP64, d, A,</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :             GrB_NULL));</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          2 :         if (!same)</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :         {</a>
+<a name="119"><span class="lineNum">     119 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         }</a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          3 :     (*pd_output) = d;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          3 :     d = NULL;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          3 :     LG_FREE_ALL;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
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+</html>
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+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_basic_mxv.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_basic_mxv.c.gcov.html#59">LAGraph_BF_basic_mxv</a></td>
+              <td class="coverFnHi">5</td>
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+</html>
diff --git a/experimental/algorithm/LAGraph_BF_basic_mxv.c.func.html b/experimental/algorithm/LAGraph_BF_basic_mxv.c.func.html
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+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic_mxv.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_basic_mxv.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
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+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_basic_mxv.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
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diff --git a/experimental/algorithm/LAGraph_BF_basic_mxv.c.gcov.html b/experimental/algorithm/LAGraph_BF_basic_mxv.c.gcov.html
new file mode 100644
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic_mxv.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_basic_mxv.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+  </table>
+
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+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_basic: Bellman-Ford method for single source shortest paths</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_basic_mxv: Bellman-Ford single source shortest paths, returning</a>
+<a name="19"><span class="lineNum">      19 </span>            : // just the shortest path lengths.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_basic_mxv performs a Bellman-Ford to find out shortest path length</a>
+<a name="22"><span class="lineNum">      22 </span>            : // from given source vertex s in the range of [0, n) on graph with n nodes.</a>
+<a name="23"><span class="lineNum">      23 </span>            : // It works almost the same as LAGraph_BF_basic except that it performs update</a>
+<a name="24"><span class="lineNum">      24 </span>            : // using GrB_mxv instead of GrB_vxm, therefore, it require the input matrix as</a>
+<a name="25"><span class="lineNum">      25 </span>            : // the transpose of adjacency matrix A with size n by n. That is, the input</a>
+<a name="26"><span class="lineNum">      26 </span>            : // sparse matrix has entry AT(i, j) if there is edge from vertex j to vertex i</a>
+<a name="27"><span class="lineNum">      27 </span>            : // with weight w, then AT(i, j) = w. While same as LAGraph_BF_basic, it requires</a>
+<a name="28"><span class="lineNum">      28 </span>            : // AT(i, i) = 0 for all 0 &lt;= i &lt; n.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // LAGraph_BF_basic_mxv returns GrB_SUCCESS if it succeeds. In this case, there</a>
+<a name="31"><span class="lineNum">      31 </span>            : // are no negative-weight cycles in the graph, and the vector d is returned.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // d(k) is the shortest distance from s to k.</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="35"><span class="lineNum">      35 </span>            : // GrB_Vector d (i.e., *pd_output) will be NULL.</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : // Otherwise, other errors such as GrB_OUT_OF_MEMORY, GrB_INVALID_OBJECT, and</a>
+<a name="38"><span class="lineNum">      38 </span>            : // so on, can be returned, if these errors are found by the underlying</a>
+<a name="39"><span class="lineNum">      39 </span>            : // GrB_* functions.</a>
+<a name="40"><span class="lineNum">      40 </span>            : //------------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : #define LG_FREE_ALL        \</a>
+<a name="43"><span class="lineNum">      43 </span>            : {                          \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_free(&amp;d) ;         \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free(&amp;dtmp) ;      \</a>
+<a name="46"><span class="lineNum">      46 </span>            : }</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="50"><span class="lineNum">      50 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : // Given the transposed of a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="54"><span class="lineNum">      54 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="55"><span class="lineNum">      55 </span>            : // of shortest paths from s as vector d. Otherwise, return d=NULL if there is</a>
+<a name="56"><span class="lineNum">      56 </span>            : // negative-weight cycle.</a>
+<a name="57"><span class="lineNum">      57 </span>            : // pd_output = &amp;d, where d is a GrB_Vector with d(k) as the shortest distance</a>
+<a name="58"><span class="lineNum">      58 </span>            : // from s to k when no negative-weight cycle detected, otherwise, d = NULL.</a>
+<a name="59"><span class="lineNum">      59 </span>            : // AT has zeros on diagonal and weights on corresponding entries of edges</a>
+<a name="60"><span class="lineNum">      60 </span>            : // s is given index for source vertex</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_basic_mxv</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : (</a>
+<a name="63"><span class="lineNum">      63 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="64"><span class="lineNum">      64 </span>            :     const GrB_Matrix AT,        //transposed adjacency matrix for the graph</a>
+<a name="65"><span class="lineNum">      65 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="66"><span class="lineNum">      66 </span>            : )</a>
+<a name="67"><span class="lineNum">      67 </span>            : {</a>
+<a name="68"><span class="lineNum">      68 </span>            :     GrB_Info info;</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_Index nrows, ncols;</a>
+<a name="71"><span class="lineNum">      71 </span>            :     // tmp vector to store distance vector after n loops</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dtmp = NULL;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          5 :     LG_ASSERT (AT != NULL &amp;&amp; pd_output != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          5 :     *pd_output = NULL;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, AT)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, AT)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;AT must be square&quot;) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          5 :     GrB_Index n = nrows;           // n = # of vertices in graph</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     // Initialize distance vector, change the d[s] to 0</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, GrB_FP64, n));</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_FP64(d, 0, s));</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          5 :     int64_t iter = 0;      //number of iterations</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          5 :     bool same = false;     //variable indicating if d == dtmp</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :     // terminate when no new path is found or more than n-1 loops</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         93 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     {</a>
+<a name="96"><span class="lineNum">      96 </span>            :         // excute semiring on d and AT, and save the result to d</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         88 :         GRB_TRY (GrB_mxv(dtmp, GrB_NULL, GrB_NULL, GrB_MIN_PLUS_SEMIRING_FP64,</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :             AT, d, GrB_NULL));</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         88 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         88 :         if (!same)</span></a>
+<a name="102"><span class="lineNum">     102 </span>            :         {</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         85 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         85 :             dtmp = d;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         85 :             d = ttmp;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :         }</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         88 :         iter++;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :     }</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="111"><span class="lineNum">     111 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          5 :     if (!same)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :     {</a>
+<a name="114"><span class="lineNum">     114 </span>            :         // excute semiring again to check for negative-weight cycle</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :         GRB_TRY (GrB_mxv(dtmp, GrB_NULL, GrB_NULL, GrB_MIN_PLUS_SEMIRING_FP64,</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :             AT, d, GrB_NULL));</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :         if (!same)</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :         {</a>
+<a name="122"><span class="lineNum">     122 </span>            :             // printf(&quot;AT negative-weight cycle found. \n&quot;);</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :         }</a>
+<a name="126"><span class="lineNum">     126 </span>            :     }</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 :     (*pd_output) = d;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          3 :     d = NULL;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          3 :     LG_FREE_ALL;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+
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+</html>
diff --git a/experimental/algorithm/LAGraph_BF_basic_pushpull.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_basic_pushpull.c.func-sort-c.html
new file mode 100644
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_basic_pushpull.c - functions</title>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic_pushpull.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_basic_pushpull.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_basic_pushpull.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_basic_pushpull.c.gcov.html#59">LAGraph_BF_basic_pushpull</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_basic_pushpull.c.func.html b/experimental/algorithm/LAGraph_BF_basic_pushpull.c.func.html
new file mode 100644
index 0000000000..ee8cf64c96
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_basic_pushpull.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic_pushpull.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_basic_pushpull.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_basic_pushpull.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
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+              <td class="coverFn"><a href="LAGraph_BF_basic_pushpull.c.gcov.html#59">LAGraph_BF_basic_pushpull</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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diff --git a/experimental/algorithm/LAGraph_BF_basic_pushpull.c.gcov.html b/experimental/algorithm/LAGraph_BF_basic_pushpull.c.gcov.html
new file mode 100644
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_basic_pushpull.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_basic_pushpull.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_basic_pushpull.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_basic_pushpull: Bellman-Ford method for single source shortest</a>
+<a name="3"><span class="lineNum">       3 </span>            : // paths</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This is the fastest variant that computes just the path lengths,</a>
+<a name="20"><span class="lineNum">      20 </span>            : // and not the parent vector.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // LAGraph_BF_basic_pushpull: Bellman-Ford single source shortest paths,</a>
+<a name="23"><span class="lineNum">      23 </span>            : // returning just the shortest path lengths.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // LAGraph_BF_basic_pushpull performs a Bellman-Ford to find out shortest path</a>
+<a name="26"><span class="lineNum">      26 </span>            : // length from given source vertex s in the range of [0, n) on graph given as</a>
+<a name="27"><span class="lineNum">      27 </span>            : // matrix A with size n by n. The sparse matrix A has entry A(i, j) if there is</a>
+<a name="28"><span class="lineNum">      28 </span>            : // edge from vertex i to vertex j with weight w, then A(i, j) = w. Furthermore,</a>
+<a name="29"><span class="lineNum">      29 </span>            : // LAGraph_BF_basic requires A(i, i) = 0 for all 0 &lt;= i &lt; n.</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // LAGraph_BF_basic returns GrB_SUCCESS if successful, or GrB_NO_VALUE if it</a>
+<a name="32"><span class="lineNum">      32 </span>            : // detects a negative-weight cycle.  The GrB_Vector d(k) (i.e., *pd_output)</a>
+<a name="33"><span class="lineNum">      33 </span>            : // will be NULL when negative-weight cycle detected. Otherwise, the vector d</a>
+<a name="34"><span class="lineNum">      34 </span>            : // has d(k) as the shortest distance from s to k.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // todo: this is a candidate for inclusion as a src/algorithm</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : //------------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_FREE_ALL        \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                          \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_free(&amp;d) ;         \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_free(&amp;dtmp) ;      \</a>
+<a name="44"><span class="lineNum">      44 </span>            : }</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="47"><span class="lineNum">      47 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="48"><span class="lineNum">      48 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="52"><span class="lineNum">      52 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="53"><span class="lineNum">      53 </span>            : // of shortest paths from s as vector d. Otherwise, return d=NULL if there is</a>
+<a name="54"><span class="lineNum">      54 </span>            : // negative-weight cycle.</a>
+<a name="55"><span class="lineNum">      55 </span>            : // pd_output = &amp;d, where d is a GrB_Vector with d(k) as the shortest distance</a>
+<a name="56"><span class="lineNum">      56 </span>            : // from s to k when no negative-weight cycle detected, otherwise, d = NULL.</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            : // A must have explicit zeros on the diagonal and weights on corresponding</a>
+<a name="59"><span class="lineNum">      59 </span>            : // entries of edges.  s is given index for source vertex.</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         15 : GrB_Info LAGraph_BF_basic_pushpull</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : (</a>
+<a name="63"><span class="lineNum">      63 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="64"><span class="lineNum">      64 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="65"><span class="lineNum">      65 </span>            :     const GrB_Matrix AT,        //transpose of A (optional)</a>
+<a name="66"><span class="lineNum">      66 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="67"><span class="lineNum">      67 </span>            : )</a>
+<a name="68"><span class="lineNum">      68 </span>            : {</a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_Info info;</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         15 :     char *msg = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_Index nrows, ncols, nvalA;</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">         15 :     GrB_Vector d = NULL, dtmp = NULL;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">         15 :     LG_ASSERT ((A != NULL || AT != NULL) &amp;&amp; pd_output != NULL,</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :         GrB_NULL_POINTER);</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         15 :     (*pd_output) = NULL;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            :     bool use_vxm_with_A;</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">         15 :     if (A == NULL)</span></a>
+<a name="81"><span class="lineNum">      81 </span>            :     {</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          5 :         GRB_TRY (GrB_Matrix_nrows (&amp;nrows, AT)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          5 :         GRB_TRY (GrB_Matrix_ncols (&amp;ncols, AT)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          5 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvalA, AT)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :         use_vxm_with_A = false;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span>            :     else</a>
+<a name="88"><span class="lineNum">      88 </span>            :     {</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         10 :         GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         10 :         GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         10 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvalA, A)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         10 :         use_vxm_with_A = true;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     }</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     // push/pull requires both A and AT</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         15 :     bool push_pull = (A != NULL &amp;&amp; AT != NULL) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         15 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         15 :     GrB_Index n = nrows;           // n = # of vertices in graph</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     // average node degree</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         15 :     double dA = (n == 0) ? 0 : (((double) nvalA) / (double) n) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         15 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :     // values used to determine if d should be converted to dense</a>
+<a name="107"><span class="lineNum">     107 </span>            :     // dthreshold is used when only A or AT is available</a>
+<a name="108"><span class="lineNum">     108 </span>            :     int64_t dthreshold ;</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         15 :     if (A == NULL)</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     {</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          5 :         dthreshold =  LAGRAPH_MAX (256, sqrt ((double) n)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            :     else</a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         10 :         dthreshold = n/2;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     }</a>
+<a name="117"><span class="lineNum">     117 </span>            :     // refer to GraphBLAS/Source/GB_AxB_select.c</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // convert d to dense when GB_AxB_select intend to use Gustavson</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         15 :     size_t csize = sizeof(double) + sizeof(int64_t) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         15 :     double gs_memory = ((double) n * (double) csize)/1e9 ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         15 :     bool dsparse = true;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :     // Initialize distance vector, change the d[s] to 0</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         15 :     GRB_TRY (GrB_Vector_new(&amp;d, GrB_FP64, n));</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         15 :     GRB_TRY (GrB_Vector_setElement_FP64(d, 0, s));</span></a>
+<a name="127"><span class="lineNum">     127 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         15 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         15 :     int64_t iter = 0;      //number of iterations</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         15 :     bool same = false;     //variable indicating if d=dtmp</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     // terminate when no new path is found or more than n-1 loops</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">        279 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :     {</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :         // double t2 = LAGraph_WallClockTime ( ) ;</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :         // excute semiring on d and A, and save the result to d</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        264 :         if (!use_vxm_with_A)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :         {</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">        171 :             GRB_TRY (GrB_mxv (dtmp, NULL, NULL, GrB_MIN_PLUS_SEMIRING_FP64,</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :                 AT, d, NULL));</a>
+<a name="144"><span class="lineNum">     144 </span>            :         }</a>
+<a name="145"><span class="lineNum">     145 </span>            :         else</a>
+<a name="146"><span class="lineNum">     146 </span>            :         {</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         93 :             GRB_TRY (GrB_vxm (dtmp, NULL, NULL, GrB_MIN_PLUS_SEMIRING_FP64,</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :                 d, A, NULL));</a>
+<a name="149"><span class="lineNum">     149 </span>            :         }</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        264 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        264 :         if (!same)</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :         {</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        255 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">        255 :             dtmp = d;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        255 :             d = ttmp;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :         }</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">        264 :         iter++;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :         // t2 = LAGraph_WallClockTime ( ) - t2 ;</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :         GrB_Index dnz ;</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        264 :         GRB_TRY (GrB_Vector_nvals (&amp;dnz, d)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        264 :         if (dsparse)</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :         {</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">        105 :             if (!push_pull)</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :             {</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">        100 :                 if (dnz &gt; dthreshold)</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :                 {</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          5 :                     dsparse = false;</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :                 }</a>
+<a name="172"><span class="lineNum">     172 </span>            :             }</a>
+<a name="173"><span class="lineNum">     173 </span>            :             else</a>
+<a name="174"><span class="lineNum">     174 </span>            :             {</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          5 :                 double heap_memory = (((double) dnz+1) *</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          5 :                                      5 * (double) (sizeof(int64_t))) / 1e9;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          5 :                 int log2dnz = 0 ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         20 :                 while (dnz &gt; 0)</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :                 {</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         15 :                     dnz = dnz / 2 ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         15 :                     log2dnz++ ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            :                 }</a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :                 dsparse = (4 * log2dnz * heap_memory &lt; gs_memory);</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          5 :                 use_vxm_with_A = dsparse;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :             }</a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        105 :             if (!dsparse)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             {</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         10 :                 GRB_TRY (GrB_Vector_setElement_FP64(d, 1e-16, s));</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         10 :                 GRB_TRY (GrB_assign (d, d, NULL, INFINITY, GrB_ALL, n,</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :                     GrB_DESC_C)) ;</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         10 :                 GRB_TRY (GrB_Vector_setElement_FP64(d, 0, s));</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :             }</a>
+<a name="194"><span class="lineNum">     194 </span>            :         }</a>
+<a name="195"><span class="lineNum">     195 </span>            :     }</a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="198"><span class="lineNum">     198 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         15 :     if (!same)</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     {</a>
+<a name="201"><span class="lineNum">     201 </span>            :         // excute semiring again to check for negative-weight cycle</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          6 :         if (!use_vxm_with_A)</span></a>
+<a name="203"><span class="lineNum">     203 </span>            :         {</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          4 :             GRB_TRY (GrB_mxv(dtmp, NULL, NULL,</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :                 GrB_MIN_PLUS_SEMIRING_FP64, AT, d, NULL));</a>
+<a name="206"><span class="lineNum">     206 </span>            :         }</a>
+<a name="207"><span class="lineNum">     207 </span>            :         else</a>
+<a name="208"><span class="lineNum">     208 </span>            :         {</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          2 :             GRB_TRY (GrB_vxm(dtmp, NULL, NULL,</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :                 GrB_MIN_PLUS_SEMIRING_FP64, d, A, NULL));</a>
+<a name="211"><span class="lineNum">     211 </span>            :         }</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          6 :         LG_TRY (LAGraph_Vector_IsEqual (&amp;same, dtmp, d, NULL));</span></a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          6 :         if (!same)</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         {</a>
+<a name="217"><span class="lineNum">     217 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          6 :             LG_FREE_ALL;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          6 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         }</a>
+<a name="221"><span class="lineNum">     221 </span>            :     }</a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="224"><span class="lineNum">     224 </span>            :     // todo: make d sparse</a>
+<a name="225"><span class="lineNum">     225 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="226"><span class="lineNum">     226 </span>            :     /*if (!dsparse)</a>
+<a name="227"><span class="lineNum">     227 </span>            :     {</a>
+<a name="228"><span class="lineNum">     228 </span>            :         GRB_TRY (GrB_assign (d, d, NULL, d, GrB_ALL, n, GrB_DESC_R)) ;</a>
+<a name="229"><span class="lineNum">     229 </span>            :         GRB_TRY (GrB_Vector_setElement_FP64(d, 0, s));</a>
+<a name="230"><span class="lineNum">     230 </span>            :         GrB_Index dnz ;</a>
+<a name="231"><span class="lineNum">     231 </span>            :         GRB_TRY (GrB_Vector_nvals (&amp;dnz, d)) ;</a>
+<a name="232"><span class="lineNum">     232 </span>            :         printf (&quot;final nvals %.16g\n&quot;, (double) dnz) ;</a>
+<a name="233"><span class="lineNum">     233 </span>            :     }*/</a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          9 :     (*pd_output) = d;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          9 :     d = NULL;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          9 :     LG_FREE_ALL;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          9 :     return (GrB_SUCCESS) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_full.c.func-sort-c.html
new file mode 100644
index 0000000000..49630dc7ad
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_full.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#133">LAGraph_BF_full</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#111">BF_EQ</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#80">BF_lMIN</a></td>
+              <td class="coverFnHi">20297</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#99">BF_PLUSrhs</a></td>
+              <td class="coverFnHi">25194</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full.c.func.html b/experimental/algorithm/LAGraph_BF_full.c.func.html
new file mode 100644
index 0000000000..2fdbf8b07f
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full.c.func.html
@@ -0,0 +1,88 @@
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+<body>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+      </td>
+    </tr>
+
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+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_full.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#111">BF_EQ</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#99">BF_PLUSrhs</a></td>
+              <td class="coverFnHi">25194</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#80">BF_lMIN</a></td>
+              <td class="coverFnHi">20297</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full.c.gcov.html#133">LAGraph_BF_full</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full.c.gcov.html b/experimental/algorithm/LAGraph_BF_full.c.gcov.html
new file mode 100644
index 0000000000..52dcdcef43
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full.c.gcov.html
@@ -0,0 +1,386 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_full.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_full.c: Bellman-Ford single-source shortest paths, returns tree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_full: Bellman-Ford single source shortest paths, returning both</a>
+<a name="19"><span class="lineNum">      19 </span>            : // the path lengths and the shortest-path tree.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_full performs a Bellman-Ford to find out shortest path, parent</a>
+<a name="22"><span class="lineNum">      22 </span>            : // nodes along the path and the hops (number of edges) in the path from given</a>
+<a name="23"><span class="lineNum">      23 </span>            : // source vertex s in the range of [0, n) on graph given as matrix A with size</a>
+<a name="24"><span class="lineNum">      24 </span>            : // n*n. The sparse matrix A has entry A(i, j) if there is an edge from vertex i</a>
+<a name="25"><span class="lineNum">      25 </span>            : // to vertex j with weight w, then A(i, j) = w. Furthermore, LAGraph_BF_full</a>
+<a name="26"><span class="lineNum">      26 </span>            : // requires A(i, i) = 0 for all 0 &lt;= i &lt; n.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGraph_BF_full returns GrB_SUCCESS if successful, and GrB_NO_VALUE if it</a>
+<a name="29"><span class="lineNum">      29 </span>            : // detects the existence of negative- weight cycle. The GrB_Vector d(k), pi(k)</a>
+<a name="30"><span class="lineNum">      30 </span>            : // and h(k)  (i.e., *pd_output, *ppi_output and *ph_output respectively) will</a>
+<a name="31"><span class="lineNum">      31 </span>            : // be NULL when negative-weight cycle detected. Otherwise, the vector d has</a>
+<a name="32"><span class="lineNum">      32 </span>            : // d(k) as the shortest distance from s to k. pi(k) = p+1, where p is the</a>
+<a name="33"><span class="lineNum">      33 </span>            : // parent node of k-th node in the shortest path. In particular, pi(s) = 0.</a>
+<a name="34"><span class="lineNum">      34 </span>            : // h(k) = hop(s, k), the number of edges from s to k in the shortest path.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : //------------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #define LG_FREE_ALL                    \</a>
+<a name="39"><span class="lineNum">      39 </span>            : {                                      \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free(&amp;d);                      \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_free(&amp;dtmp);                   \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_free(&amp;Atmp);                   \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_free(&amp;BF_Tuple3);              \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3);         \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free(&amp;BF_PLUSrhs_Tuple3);      \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free(&amp;BF_EQ_Tuple3);           \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3_Monoid);  \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     GrB_free(&amp;BF_lMIN_PLUSrhs_Tuple3); \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     LAGraph_Free ((void**)&amp;I, NULL);   \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     LAGraph_Free ((void**)&amp;J, NULL);   \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     LAGraph_Free ((void**)&amp;w, NULL);   \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     LAGraph_Free ((void**)&amp;W, NULL);   \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     LAGraph_Free ((void**)&amp;h, NULL);   \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     LAGraph_Free ((void**)&amp;pi, NULL);  \</a>
+<a name="55"><span class="lineNum">      55 </span>            : }</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="58"><span class="lineNum">      58 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="59"><span class="lineNum">      59 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : //------------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            : // data type for each entry of the adjacent matrix A and &quot;distance&quot; vector d;</a>
+<a name="65"><span class="lineNum">      65 </span>            : // &lt;INFINITY,INFINITY,INFINITY&gt; corresponds to nonexistence of a path, and</a>
+<a name="66"><span class="lineNum">      66 </span>            : // the value  &lt;0, 0, NULL&gt; corresponds to a path from a vertex to itself</a>
+<a name="67"><span class="lineNum">      67 </span>            : //------------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : typedef struct</a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span>            :     double w;    // w  corresponds to a path weight.</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_Index h; // h  corresponds to a path size or number of hops.</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_Index pi;// pi corresponds to the penultimate vertex along a path.</a>
+<a name="73"><span class="lineNum">      73 </span>            :                  // vertex indexed as 1, 2, 3, ... , V, and pi = 0 (as nil)</a>
+<a name="74"><span class="lineNum">      74 </span>            :                  // for u=v, and pi = UINT64_MAX (as inf) for (u,v) not in E</a>
+<a name="75"><span class="lineNum">      75 </span>            : }</a>
+<a name="76"><span class="lineNum">      76 </span>            : BF_Tuple3_struct;</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : //------------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            : // 2 binary functions, z=f(x,y), where Tuple3xTuple3 -&gt; Tuple3</a>
+<a name="80"><span class="lineNum">      80 </span>            : //------------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">      20297 : void BF_lMIN</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : (</a>
+<a name="84"><span class="lineNum">      84 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="87"><span class="lineNum">      87 </span>            : )</a>
+<a name="88"><span class="lineNum">      88 </span>            : {</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">      20297 :     if (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">       5788 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       5788 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi))</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     {</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">      14565 :         if (z != x) { *z = *x; }</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :     }</a>
+<a name="95"><span class="lineNum">      95 </span>            :     else</a>
+<a name="96"><span class="lineNum">      96 </span>            :     {</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       5732 :         *z = *y;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     }</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">      20297 : }</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">      25194 : void BF_PLUSrhs</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : (</a>
+<a name="103"><span class="lineNum">     103 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="106"><span class="lineNum">     106 </span>            : )</a>
+<a name="107"><span class="lineNum">     107 </span>            : {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">      25194 :     z-&gt;w = x-&gt;w + y-&gt;w ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">      25194 :     z-&gt;h = x-&gt;h + y-&gt;h ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">      25194 :     z-&gt;pi = (x-&gt;pi != UINT64_MAX &amp;&amp; y-&gt;pi != 0) ?  y-&gt;pi : x-&gt;pi ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">      25194 : }</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">       4424 : void BF_EQ</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : (</a>
+<a name="115"><span class="lineNum">     115 </span>            :     bool *z,</a>
+<a name="116"><span class="lineNum">     116 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="117"><span class="lineNum">     117 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="118"><span class="lineNum">     118 </span>            : )</a>
+<a name="119"><span class="lineNum">     119 </span>            : {</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">       4424 :     (*z) = (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi == y-&gt;pi) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">       4424 : }</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="124"><span class="lineNum">     124 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="125"><span class="lineNum">     125 </span>            : // of shortest paths from s and parents along the paths as vector d. Otherwise,</a>
+<a name="126"><span class="lineNum">     126 </span>            : // returns d=NULL if there is a negtive-weight cycle.</a>
+<a name="127"><span class="lineNum">     127 </span>            : // pd_output is pointer to a GrB_Vector, where the i-th entry is d(s,i), the</a>
+<a name="128"><span class="lineNum">     128 </span>            : //   sum of edges length in the shortest path</a>
+<a name="129"><span class="lineNum">     129 </span>            : // ppi_output is pointer to a GrB_Vector, where the i-th entry is pi(i), the</a>
+<a name="130"><span class="lineNum">     130 </span>            : //   parent of i-th vertex in the shortest path</a>
+<a name="131"><span class="lineNum">     131 </span>            : // ph_output is pointer to a GrB_Vector, where the i-th entry is h(s,i), the</a>
+<a name="132"><span class="lineNum">     132 </span>            : //   number of edges from s to i in the shortest path</a>
+<a name="133"><span class="lineNum">     133 </span>            : // A has zeros on diagonal and weights on corresponding entries of edges</a>
+<a name="134"><span class="lineNum">     134 </span>            : // s is given index for source vertex</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_full</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : (</a>
+<a name="137"><span class="lineNum">     137 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="138"><span class="lineNum">     138 </span>            :     GrB_Vector *ppi_output,     //the pointer to the vector of parent</a>
+<a name="139"><span class="lineNum">     139 </span>            :     GrB_Vector *ph_output,       //the pointer to the vector of hops</a>
+<a name="140"><span class="lineNum">     140 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="141"><span class="lineNum">     141 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="142"><span class="lineNum">     142 </span>            : )</a>
+<a name="143"><span class="lineNum">     143 </span>            : {</a>
+<a name="144"><span class="lineNum">     144 </span>            :     GrB_Info info;</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dtmp = NULL;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          5 :     GrB_Matrix Atmp = NULL;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :     GrB_Type BF_Tuple3;</a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :     GrB_BinaryOp BF_lMIN_Tuple3;</a>
+<a name="152"><span class="lineNum">     152 </span>            :     GrB_BinaryOp BF_PLUSrhs_Tuple3;</a>
+<a name="153"><span class="lineNum">     153 </span>            :     GrB_BinaryOp BF_EQ_Tuple3;</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            :     GrB_Monoid BF_lMIN_Tuple3_Monoid;</a>
+<a name="156"><span class="lineNum">     156 </span>            :     GrB_Semiring BF_lMIN_PLUSrhs_Tuple3;</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_Index nrows, ncols, n, nz;  // n = # of row/col, nz = # of nnz in graph</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          5 :     GrB_Index *I = NULL, *J = NULL; // for col/row indices of entries from A</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          5 :     GrB_Index *h = NULL, *pi = NULL;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          5 :     double *w = NULL;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          5 :     BF_Tuple3_struct *W = NULL;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          5 :     LG_ASSERT (A != NULL &amp;&amp; pd_output != NULL &amp;&amp;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :         ppi_output != NULL &amp;&amp; ph_output != NULL, GrB_NULL_POINTER) ;</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          5 :     *pd_output  = NULL;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          5 :     *ppi_output = NULL;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          5 :     *ph_output  = NULL;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nvals (&amp;nz, A));</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          5 :     n = nrows;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            :     // create all GrB_Type GrB_BinaryOp GrB_Monoid and GrB_Semiring</a>
+<a name="179"><span class="lineNum">     179 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            :     // GrB_Type</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Type_new(&amp;BF_Tuple3, sizeof(BF_Tuple3_struct)));</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            :     // GrB_BinaryOp</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_EQ_Tuple3,</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :         (LAGraph_binary_function) (&amp;BF_EQ), GrB_BOOL, BF_Tuple3, BF_Tuple3));</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_lMIN_Tuple3,</span></a>
+<a name="187"><span class="lineNum">     187 </span>            :         (LAGraph_binary_function) (&amp;BF_lMIN), BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_PLUSrhs_Tuple3,</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :         (LAGraph_binary_function)(&amp;BF_PLUSrhs),</a>
+<a name="190"><span class="lineNum">     190 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span>            :     // GrB_Monoid</a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :     BF_Tuple3_struct BF_identity = (BF_Tuple3_struct) { .w = INFINITY,</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :         .h = UINT64_MAX, .pi = UINT64_MAX };</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Monoid_new_UDT(&amp;BF_lMIN_Tuple3_Monoid, BF_lMIN_Tuple3,</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :         &amp;BF_identity));</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :     //GrB_Semiring</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Semiring_new(&amp;BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :         BF_lMIN_Tuple3_Monoid, BF_PLUSrhs_Tuple3));</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="203"><span class="lineNum">     203 </span>            :     // allocate arrays used for tuplets</a>
+<a name="204"><span class="lineNum">     204 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;J, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, nz, sizeof(double), msg)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, nz, sizeof(BF_Tuple3_struct),</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :         msg)) ;</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="213"><span class="lineNum">     213 </span>            :     // create matrix Atmp based on A, while its entries become BF_Tuple3 type</a>
+<a name="214"><span class="lineNum">     214 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_extractTuples_FP64(I, J, w, &amp;nz, A));</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          5 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          5 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          5 :     printf (&quot;nthreads %d\n&quot;, nthreads) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :     int64_t k;</a>
+<a name="222"><span class="lineNum">     222 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">        951 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :     {</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">        946 :         if (w[k] == 0)             //diagonal entries</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :         {</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">        184 :             W[k] = (BF_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="228"><span class="lineNum">     228 </span>            :         }</a>
+<a name="229"><span class="lineNum">     229 </span>            :         else</a>
+<a name="230"><span class="lineNum">     230 </span>            :         {</a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">        762 :             W[k] = (BF_Tuple3_struct) { .w = w[k], .h = 1, .pi = I[k] + 1 };</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :         }</a>
+<a name="233"><span class="lineNum">     233 </span>            :     }</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_new(&amp;Atmp, BF_Tuple3, n, n));</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_build_UDT(Atmp, I, J, W, nz, BF_lMIN_Tuple3));</span></a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="238"><span class="lineNum">     238 </span>            :     // create and initialize &quot;distance&quot; vector d</a>
+<a name="239"><span class="lineNum">     239 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, BF_Tuple3, n));</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :     // initial distance from s to itself</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          5 :     BF_Tuple3_struct d0 = (BF_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(d, &amp;d0, s));</span></a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="246"><span class="lineNum">     246 </span>            :     // start the Bellman Ford process</a>
+<a name="247"><span class="lineNum">     247 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="248"><span class="lineNum">     248 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          5 :     bool same= false;          // variable indicating if d == dtmp</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          5 :     int64_t iter = 0;          // number of iterations</span></a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span>            :     // terminate when no new path is found or more than V-1 loops</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">         93 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :     {</a>
+<a name="256"><span class="lineNum">     256 </span>            :         // execute semiring on d and A, and save the result to dtmp</a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         88 :         GRB_TRY (GrB_vxm(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :             d, Atmp, GrB_NULL));</a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">         88 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">         88 :         if (!same)</span></a>
+<a name="262"><span class="lineNum">     262 </span>            :         {</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">         85 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         85 :             dtmp = d;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         85 :             d = ttmp;</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :         }</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         88 :         iter ++;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :     }</a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="271"><span class="lineNum">     271 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          5 :     if (!same)</span></a>
+<a name="273"><span class="lineNum">     273 </span>            :     {</a>
+<a name="274"><span class="lineNum">     274 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          2 :         GRB_TRY (GrB_vxm(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="276"><span class="lineNum">     276 </span>            :             d, Atmp, GrB_NULL));</a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">          2 :         if (!same)</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :         {</a>
+<a name="282"><span class="lineNum">     282 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :         }</a>
+<a name="286"><span class="lineNum">     286 </span>            :     }</a>
+<a name="287"><span class="lineNum">     287 </span>            : </a>
+<a name="288"><span class="lineNum">     288 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="289"><span class="lineNum">     289 </span>            :     // extract tuple from &quot;distance&quot; vector d and create GrB_Vectors for output</a>
+<a name="290"><span class="lineNum">     290 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_extractTuples_UDT (I, (void *) W, &amp;nz, d));</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;h , nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;pi, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">        111 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="297"><span class="lineNum">     297 </span>            :     {</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">        108 :         w [k] = W[k].w ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">        108 :         h [k] = W[k].h ;</span></a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">        108 :         pi[k] = W[k].pi;</span></a>
+<a name="301"><span class="lineNum">     301 </span>            :     }</a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(pd_output,  GrB_FP64,   n));</span></a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ppi_output, GrB_UINT64, n));</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ph_output,  GrB_UINT64, n));</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build_FP64  (*pd_output , I, w , nz,GrB_MIN_FP64  ));</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build_UINT64(*ppi_output, I, pi, nz,GrB_MIN_UINT64));</span></a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build_UINT64(*ph_output , I, h , nz,GrB_MIN_UINT64));</span></a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          3 :     LG_FREE_ALL;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_full1.c.func-sort-c.html
new file mode 100644
index 0000000000..ddb11c7df1
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full1.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_full1.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#161">LAGraph_BF_full1</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#137">BF1_LT</a></td>
+              <td class="coverFnHi">4672</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#128">BF1_Identity</a></td>
+              <td class="coverFnHi">9645</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#97">BF1_lMIN</a></td>
+              <td class="coverFnHi">13716</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#116">BF1_PLUSrhs</a></td>
+              <td class="coverFnHi">18388</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1.c.func.html b/experimental/algorithm/LAGraph_BF_full1.c.func.html
new file mode 100644
index 0000000000..964f4a7841
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full1.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_full1.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#128">BF1_Identity</a></td>
+              <td class="coverFnHi">9645</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#137">BF1_LT</a></td>
+              <td class="coverFnHi">4672</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#116">BF1_PLUSrhs</a></td>
+              <td class="coverFnHi">18388</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#97">BF1_lMIN</a></td>
+              <td class="coverFnHi">13716</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1.c.gcov.html#161">LAGraph_BF_full1</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1.c.gcov.html b/experimental/algorithm/LAGraph_BF_full1.c.gcov.html
new file mode 100644
index 0000000000..576760fd51
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1.c.gcov.html
@@ -0,0 +1,445 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_full1.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntry">112</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_full1.c: Bellman-Ford single-source shortest paths, returns tree,</a>
+<a name="3"><span class="lineNum">       3 </span>            : // while diagonal of input matrix A needs not to be explicit 0</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // LAGraph_BF_full1: Bellman-Ford single source shortest paths, returning both</a>
+<a name="20"><span class="lineNum">      20 </span>            : // the path lengths and the shortest-path tree.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // LAGraph_BF_full1 performs a Bellman-Ford to find out shortest path, parent</a>
+<a name="23"><span class="lineNum">      23 </span>            : // nodes along the path and the hops (number of edges) in the path from given</a>
+<a name="24"><span class="lineNum">      24 </span>            : // source vertex s in the range of [0, n) on graph given as matrix A with size</a>
+<a name="25"><span class="lineNum">      25 </span>            : // n*n. The sparse matrix A has entry A(i, j) if there is an edge from vertex i</a>
+<a name="26"><span class="lineNum">      26 </span>            : // to vertex j with weight w, then A(i, j) = w.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGraph_BF_full1 returns GrB_SUCCESS if it succeeds.  In this case, there</a>
+<a name="29"><span class="lineNum">      29 </span>            : // are no negative-weight cycles in the graph, and d, pi, and h are returned.</a>
+<a name="30"><span class="lineNum">      30 </span>            : // The vector d has d(k) as the shortest distance from s to k. pi(k) = p+1,</a>
+<a name="31"><span class="lineNum">      31 </span>            : // where p is the parent node of k-th node in the shortest path. In particular,</a>
+<a name="32"><span class="lineNum">      32 </span>            : // pi(s) = 0. h(k) = hop(s, k), the number of edges from s to k in the shortest</a>
+<a name="33"><span class="lineNum">      33 </span>            : // path.</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="36"><span class="lineNum">      36 </span>            : // GrB_Vectors d(k), pi(k) and h(k)  (i.e., *pd_output, *ppi_output and</a>
+<a name="37"><span class="lineNum">      37 </span>            : // *ph_output respectively) will be NULL when negative-weight cycle detected.</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // Otherwise, other errors such as GrB_OUT_OF_MEMORY, GrB_INVALID_OBJECT, and</a>
+<a name="40"><span class="lineNum">      40 </span>            : // so on, can be returned, if these errors are found by the underlying</a>
+<a name="41"><span class="lineNum">      41 </span>            : // GrB_* functions.</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : //------------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : #define LG_FREE_WORK                   \</a>
+<a name="46"><span class="lineNum">      46 </span>            : {                                      \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     GrB_free(&amp;d);                      \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     GrB_free(&amp;dmasked);                \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free(&amp;dless);                  \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_free(&amp;Atmp);                   \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free(&amp;BF_Tuple3);              \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3);         \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_free(&amp;BF_PLUSrhs_Tuple3);      \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_free(&amp;BF_LT_Tuple3);           \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3_Monoid);  \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_free(&amp;BF_lMIN_PLUSrhs_Tuple3); \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_free(&amp;BF_Identity_Tuple3 );    \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     LAGraph_Free ((void**)&amp;I, NULL);   \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     LAGraph_Free ((void**)&amp;J, NULL);   \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     LAGraph_Free ((void**)&amp;w, NULL);   \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_Free ((void**)&amp;W, NULL);   \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_Free ((void**)&amp;h, NULL);   \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_Free ((void**)&amp;pi, NULL);  \</a>
+<a name="64"><span class="lineNum">      64 </span>            : }</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : #define LG_FREE_ALL                    \</a>
+<a name="67"><span class="lineNum">      67 </span>            : {                                      \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     LG_FREE_WORK ;                     \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_free (pd_output);              \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_free (ppi_output);             \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (ph_output);              \</a>
+<a name="72"><span class="lineNum">      72 </span>            : }</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="75"><span class="lineNum">      75 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="76"><span class="lineNum">      76 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            : typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : // data type for each entry of the adjacent matrix A and &quot;distance&quot; vector d;</a>
+<a name="83"><span class="lineNum">      83 </span>            : // &lt;INFINITY,INFINITY,INFINITY&gt; corresponds to nonexistence of a path, and</a>
+<a name="84"><span class="lineNum">      84 </span>            : // the value  &lt;0, 0, NULL&gt; corresponds to a path from a vertex to itself</a>
+<a name="85"><span class="lineNum">      85 </span>            : //------------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : typedef struct</a>
+<a name="87"><span class="lineNum">      87 </span>            : {</a>
+<a name="88"><span class="lineNum">      88 </span>            :     double w;    // w  corresponds to a path weight.</a>
+<a name="89"><span class="lineNum">      89 </span>            :     GrB_Index h; // h  corresponds to a path size or number of hops.</a>
+<a name="90"><span class="lineNum">      90 </span>            :     GrB_Index pi;// pi corresponds to the penultimate vertex along a path.</a>
+<a name="91"><span class="lineNum">      91 </span>            :                  // vertex indexed as 1, 2, 3, ... , V, and pi = 0 (as nil)</a>
+<a name="92"><span class="lineNum">      92 </span>            :                  // for u=v, and pi = UINT64_MAX (as inf) for (u,v) not in E</a>
+<a name="93"><span class="lineNum">      93 </span>            : }</a>
+<a name="94"><span class="lineNum">      94 </span>            : BF1_Tuple3_struct;</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            : //------------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            : // 2 binary functions, z=f(x,y), where Tuple3xTuple3 -&gt; Tuple3</a>
+<a name="98"><span class="lineNum">      98 </span>            : //------------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">      13716 : void BF1_lMIN</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : (</a>
+<a name="101"><span class="lineNum">     101 </span>            :     BF1_Tuple3_struct *z,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     const BF1_Tuple3_struct *x,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     const BF1_Tuple3_struct *y</a>
+<a name="104"><span class="lineNum">     104 </span>            : )</a>
+<a name="105"><span class="lineNum">     105 </span>            : {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">      13716 :     if (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">       4243 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">       4243 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi))</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     {</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">       9568 :         if (z != x) { *z = *x; }</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :     }</a>
+<a name="112"><span class="lineNum">     112 </span>            :     else</a>
+<a name="113"><span class="lineNum">     113 </span>            :     {</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">       4148 :         *z = *y;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :     }</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">      13716 : }</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">      18388 : void BF1_PLUSrhs</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : (</a>
+<a name="120"><span class="lineNum">     120 </span>            :     BF1_Tuple3_struct *z,</a>
+<a name="121"><span class="lineNum">     121 </span>            :     const BF1_Tuple3_struct *x,</a>
+<a name="122"><span class="lineNum">     122 </span>            :     const BF1_Tuple3_struct *y</a>
+<a name="123"><span class="lineNum">     123 </span>            : )</a>
+<a name="124"><span class="lineNum">     124 </span>            : {</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">      18388 :     z-&gt;w = x-&gt;w + y-&gt;w;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">      18388 :     z-&gt;h = x-&gt;h + y-&gt;h;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">      18388 :     z-&gt;pi = (x-&gt;pi != UINT64_MAX &amp;&amp; y-&gt;pi != 0) ?  y-&gt;pi : x-&gt;pi ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">      18388 : }</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">       9645 : void BF1_Identity</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : (</a>
+<a name="132"><span class="lineNum">     132 </span>            :     BF1_Tuple3_struct *z,</a>
+<a name="133"><span class="lineNum">     133 </span>            :     const BF1_Tuple3_struct *x</a>
+<a name="134"><span class="lineNum">     134 </span>            : )</a>
+<a name="135"><span class="lineNum">     135 </span>            : {</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">       9645 :     *z = *x;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">       9645 : }</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">       4672 : void BF1_LT</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : (</a>
+<a name="141"><span class="lineNum">     141 </span>            :     bool *z,</a>
+<a name="142"><span class="lineNum">     142 </span>            :     const BF1_Tuple3_struct *x,</a>
+<a name="143"><span class="lineNum">     143 </span>            :     const BF1_Tuple3_struct *y</a>
+<a name="144"><span class="lineNum">     144 </span>            : )</a>
+<a name="145"><span class="lineNum">     145 </span>            : {</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">       9344 :     (*z) = (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        428 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">       5100 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">       4672 : }</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="152"><span class="lineNum">     152 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="153"><span class="lineNum">     153 </span>            : // of shortest paths from s and parents along the paths as vector d. Otherwise,</a>
+<a name="154"><span class="lineNum">     154 </span>            : // returns d=NULL if there is a negtive-weight cycle.</a>
+<a name="155"><span class="lineNum">     155 </span>            : // pd_output is pointer to a GrB_Vector, where the i-th entry is d(s,i), the</a>
+<a name="156"><span class="lineNum">     156 </span>            : //   sum of edges length in the shortest path</a>
+<a name="157"><span class="lineNum">     157 </span>            : // ppi_output is pointer to a GrB_Vector, where the i-th entry is pi(i), the</a>
+<a name="158"><span class="lineNum">     158 </span>            : //   parent of i-th vertex in the shortest path</a>
+<a name="159"><span class="lineNum">     159 </span>            : // ph_output is pointer to a GrB_Vector, where the i-th entry is h(s,i), the</a>
+<a name="160"><span class="lineNum">     160 </span>            : //   number of edges from s to i in the shortest path</a>
+<a name="161"><span class="lineNum">     161 </span>            : // A has weights on corresponding entries of edges</a>
+<a name="162"><span class="lineNum">     162 </span>            : // s is given index for source vertex</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_full1</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : (</a>
+<a name="165"><span class="lineNum">     165 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="166"><span class="lineNum">     166 </span>            :     GrB_Vector *ppi_output,     //the pointer to the vector of parent</a>
+<a name="167"><span class="lineNum">     167 </span>            :     GrB_Vector *ph_output,      //the pointer to the vector of hops</a>
+<a name="168"><span class="lineNum">     168 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="169"><span class="lineNum">     169 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="170"><span class="lineNum">     170 </span>            : )</a>
+<a name="171"><span class="lineNum">     171 </span>            : {</a>
+<a name="172"><span class="lineNum">     172 </span>            :     GrB_Info info;</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dmasked = NULL, dless = NULL;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          5 :     GrB_Matrix Atmp = NULL;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          5 :     GrB_Type BF_Tuple3 = NULL ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          5 :     GrB_BinaryOp BF_lMIN_Tuple3 = NULL ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          5 :     GrB_BinaryOp BF_PLUSrhs_Tuple3 = NULL ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          5 :     GrB_UnaryOp BF_Identity_Tuple3 = NULL ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          5 :     GrB_BinaryOp BF_LT_Tuple3 = NULL ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          5 :     GrB_Monoid BF_lMIN_Tuple3_Monoid = NULL ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          5 :     GrB_Semiring BF_lMIN_PLUSrhs_Tuple3 = NULL ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :     GrB_Index nrows, ncols, n, nz;  // n = # of row/col, nz = # of nnz in graph</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          5 :     GrB_Index *I = NULL, *J = NULL; // for col/row indices of entries from A</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          5 :     GrB_Index *h = NULL, *pi = NULL;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          5 :     double *w = NULL;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          5 :     BF1_Tuple3_struct *W = NULL;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :     LG_ASSERT (A != NULL &amp;&amp; pd_output != NULL &amp;&amp;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :         ppi_output != NULL &amp;&amp; ph_output != NULL, GrB_NULL_POINTER) ;</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          5 :     *pd_output  = NULL;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          5 :     *ppi_output = NULL;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          5 :     *ph_output  = NULL;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nvals (&amp;nz, A));</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          5 :     n = nrows;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :     // create all GrB_Type GrB_BinaryOp GrB_Monoid and GrB_Semiring</a>
+<a name="208"><span class="lineNum">     208 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            :     // GrB_Type</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Type_new(&amp;BF_Tuple3, sizeof(BF1_Tuple3_struct)));</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     // GrB_BinaryOp</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          5 :     GRB_TRY (GrB_UnaryOp_new(&amp;BF_Identity_Tuple3,</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :         (void*) (&amp;BF1_Identity), BF_Tuple3, BF_Tuple3));</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_LT_Tuple3,</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         (LAGraph_binary_function) (&amp;BF1_LT), GrB_BOOL, BF_Tuple3, BF_Tuple3));</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_lMIN_Tuple3,</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :         (LAGraph_binary_function) (&amp;BF1_lMIN), BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_PLUSrhs_Tuple3,</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         (LAGraph_binary_function)(&amp;BF1_PLUSrhs),</a>
+<a name="221"><span class="lineNum">     221 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :     // GrB_Monoid</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          5 :     BF1_Tuple3_struct BF_identity = (BF1_Tuple3_struct) { .w = INFINITY,</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :         .h = UINT64_MAX, .pi = UINT64_MAX };</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Monoid_new_UDT(&amp;BF_lMIN_Tuple3_Monoid, BF_lMIN_Tuple3,</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :         &amp;BF_identity));</a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            :     //GrB_Semiring</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Semiring_new(&amp;BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="231"><span class="lineNum">     231 </span>            :         BF_lMIN_Tuple3_Monoid, BF_PLUSrhs_Tuple3));</a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="234"><span class="lineNum">     234 </span>            :     // allocate arrays used for tuplets</a>
+<a name="235"><span class="lineNum">     235 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;J, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, nz, sizeof(double), msg)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, nz, sizeof(BF1_Tuple3_struct),</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :         msg)) ;</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="244"><span class="lineNum">     244 </span>            :     // create matrix Atmp based on A, while its entries become BF_Tuple3 type</a>
+<a name="245"><span class="lineNum">     245 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_extractTuples_FP64(I, J, w, &amp;nz, A));</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          5 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          5 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          5 :     printf (&quot;nthreads %d\n&quot;, nthreads) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :     int64_t k;</a>
+<a name="253"><span class="lineNum">     253 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">        773 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :     {</a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">        768 :         W[k] = (BF1_Tuple3_struct) { .w = w[k], .h = 1, .pi = I[k] + 1 };</span></a>
+<a name="257"><span class="lineNum">     257 </span>            :     }</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_new(&amp;Atmp, BF_Tuple3, n, n));</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_build_UDT(Atmp, I, J, W, nz, BF_lMIN_Tuple3));</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;I, NULL);</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;J, NULL);</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;W, NULL);</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;w, NULL);</span></a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="266"><span class="lineNum">     266 </span>            :     // create and initialize &quot;distance&quot; vector d, dmasked and dless</a>
+<a name="267"><span class="lineNum">     267 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, BF_Tuple3, n));</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :     // make d dense</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_assign_UDT(d, NULL, NULL, (void*)&amp;BF_identity,</span></a>
+<a name="271"><span class="lineNum">     271 </span>            :         GrB_ALL, n, NULL));</a>
+<a name="272"><span class="lineNum">     272 </span>            :     // initial distance from s to itself</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          5 :     BF1_Tuple3_struct d0 = (BF1_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(d, &amp;d0, s));</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     // creat dmasked as a sparse vector with only one entry at s</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;dmasked, BF_Tuple3, n));</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(dmasked, &amp;d0, s));</span></a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            :     // create dless</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;dless, GrB_BOOL, n));</span></a>
+<a name="282"><span class="lineNum">     282 </span>            : </a>
+<a name="283"><span class="lineNum">     283 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="284"><span class="lineNum">     284 </span>            :     // start the Bellman Ford process</a>
+<a name="285"><span class="lineNum">     285 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          5 :     bool any_dless= true;      // if there is any newly found shortest path</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          5 :     int64_t iter = 0;          // number of iterations</span></a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            :     // terminate when no new path is found or more than V-1 loops</a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">         93 :     while (any_dless &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="291"><span class="lineNum">     291 </span>            :     {</a>
+<a name="292"><span class="lineNum">     292 </span>            :         // execute semiring on d and A, and save the result to dtmp</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">         88 :         GRB_TRY (GrB_vxm(dmasked, GrB_NULL, GrB_NULL,</span></a>
+<a name="294"><span class="lineNum">     294 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dmasked, Atmp, GrB_NULL));</a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span>            :         // dless = d .&lt; dtmp</a>
+<a name="297"><span class="lineNum">     297 </span>            :         //GRB_TRY (GrB_Vector_clear(dless));</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">         88 :         GRB_TRY (GrB_eWiseMult(dless, NULL, NULL, BF_LT_Tuple3, dmasked, d,</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :             NULL));</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            :         // if there is no entry with smaller distance then all shortest paths</a>
+<a name="302"><span class="lineNum">     302 </span>            :         // are found</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">         88 :         GRB_TRY (GrB_reduce (&amp;any_dless, NULL, GrB_LOR_MONOID_BOOL, dless,</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :             NULL)) ;</a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">         88 :         if(any_dless)</span></a>
+<a name="306"><span class="lineNum">     306 </span>            :         {</a>
+<a name="307"><span class="lineNum">     307 </span>            :             // update all entries with smaller distances</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">         85 :             GRB_TRY (GrB_apply(d, dless, NULL, BF_Identity_Tuple3, dmasked, NULL));</span></a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span>            :             // only use entries that were just updated</a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         85 :             GRB_TRY (GrB_Vector_clear(dmasked));</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">         85 :             GRB_TRY (GrB_apply(dmasked, dless, NULL, BF_Identity_Tuple3, d, NULL));</span></a>
+<a name="313"><span class="lineNum">     313 </span>            :             //try:</a>
+<a name="314"><span class="lineNum">     314 </span>            :             //GRB_TRY (GrB_assign(dmasked, dless, NULL, d, GrB_ALL, n, GrB_DESC_R);</a>
+<a name="315"><span class="lineNum">     315 </span>            :         }</a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">         88 :         iter ++;</span></a>
+<a name="317"><span class="lineNum">     317 </span>            :     }</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="320"><span class="lineNum">     320 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          5 :     if (any_dless)</span></a>
+<a name="322"><span class="lineNum">     322 </span>            :     {</a>
+<a name="323"><span class="lineNum">     323 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">          2 :         GRB_TRY (GrB_vxm(dmasked, GrB_NULL, GrB_NULL,</span></a>
+<a name="325"><span class="lineNum">     325 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dmasked, Atmp, GrB_NULL));</a>
+<a name="326"><span class="lineNum">     326 </span>            : </a>
+<a name="327"><span class="lineNum">     327 </span>            :         // dless = d .&lt; dtmp</a>
+<a name="328"><span class="lineNum">     328 </span>            :         //GRB_TRY (GrB_Vector_clear(dless));</a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          2 :         GRB_TRY (GrB_eWiseMult(dless, NULL, NULL, BF_LT_Tuple3, dmasked, d, NULL));</span></a>
+<a name="330"><span class="lineNum">     330 </span>            : </a>
+<a name="331"><span class="lineNum">     331 </span>            :         // if there is no entry with smaller distance then all shortest paths</a>
+<a name="332"><span class="lineNum">     332 </span>            :         // are found</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          2 :         GRB_TRY (GrB_reduce (&amp;any_dless, NULL, GrB_LOR_MONOID_BOOL, dless, NULL)) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          2 :         if(any_dless)</span></a>
+<a name="335"><span class="lineNum">     335 </span>            :         {</a>
+<a name="336"><span class="lineNum">     336 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="339"><span class="lineNum">     339 </span>            :         }</a>
+<a name="340"><span class="lineNum">     340 </span>            :     }</a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            :     // extract tuple from &quot;distance&quot; vector d and create GrB_Vectors for output</a>
+<a name="344"><span class="lineNum">     344 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, n, sizeof(BF1_Tuple3_struct),</span></a>
+<a name="348"><span class="lineNum">     348 </span>            :         msg)) ;</a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, n, sizeof(double), msg)) ;</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;h, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;pi, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_extractTuples_UDT (I, (void *) W, &amp;n, d));</span></a>
+<a name="354"><span class="lineNum">     354 </span>            : </a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">        111 :     for (k = 0; k &lt; n; k++)</span></a>
+<a name="356"><span class="lineNum">     356 </span>            :     {</a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">        108 :         w [k] = W[k].w ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">        108 :         h [k] = W[k].h ;</span></a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">        108 :         pi[k] = W[k].pi;</span></a>
+<a name="360"><span class="lineNum">     360 </span>            :     }</a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(pd_output,  GrB_FP64,   n));</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ppi_output, GrB_UINT64, n));</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ph_output,  GrB_UINT64, n));</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*pd_output , I, w , n, GrB_MIN_FP64  ));</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ppi_output, I, pi, n, GrB_MIN_UINT64));</span></a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ph_output , I, h , n, GrB_MIN_UINT64));</span></a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          3 :     LG_FREE_WORK;</span></a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="369"><span class="lineNum">     369 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1a.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_full1a.c.func-sort-c.html
new file mode 100644
index 0000000000..adf66134a5
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1a.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1a.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1a.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full1a.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_full1a.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#154">LAGraph_BF_full1a</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#130">BF_LT3</a></td>
+              <td class="coverFnHi">4672</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#99">BF_lMIN3</a></td>
+              <td class="coverFnHi">13716</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#118">BF_PLUSrhs3</a></td>
+              <td class="coverFnHi">18388</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1a.c.func.html b/experimental/algorithm/LAGraph_BF_full1a.c.func.html
new file mode 100644
index 0000000000..17939557ad
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1a.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1a.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1a.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full1a.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_full1a.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#130">BF_LT3</a></td>
+              <td class="coverFnHi">4672</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#118">BF_PLUSrhs3</a></td>
+              <td class="coverFnHi">18388</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#99">BF_lMIN3</a></td>
+              <td class="coverFnHi">13716</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full1a.c.gcov.html#154">LAGraph_BF_full1a</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full1a.c.gcov.html b/experimental/algorithm/LAGraph_BF_full1a.c.gcov.html
new file mode 100644
index 0000000000..36959017bc
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full1a.c.gcov.html
@@ -0,0 +1,467 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full1a.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full1a.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_full1a.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_full1a.c: Bellman-Ford single-source shortest paths, returns tree,</a>
+<a name="3"><span class="lineNum">       3 </span>            : // while diagonal of input matrix A needs not to be explicit 0</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This is the fastest variant that computes both the parent &amp; the path length.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_full1a: Bellman-Ford single source shortest paths, returning both</a>
+<a name="22"><span class="lineNum">      22 </span>            : // the path lengths and the shortest-path tree.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // LAGraph_BF_full performs a Bellman-Ford to find out shortest path, parent</a>
+<a name="25"><span class="lineNum">      25 </span>            : // nodes along the path and the hops (number of edges) in the path from given</a>
+<a name="26"><span class="lineNum">      26 </span>            : // source vertex s in the range of [0, n) on graph given as matrix A with size</a>
+<a name="27"><span class="lineNum">      27 </span>            : // n*n. The sparse matrix A has entry A(i, j) if there is an edge from vertex i</a>
+<a name="28"><span class="lineNum">      28 </span>            : // to vertex j with weight w, then A(i, j) = w.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // LAGraph_BF_full1a returns GrB_SUCCESS if it succeeds.  In this case, there</a>
+<a name="31"><span class="lineNum">      31 </span>            : // are no negative-weight cycles in the graph, and d, pi, and h are returned.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // The vector d has d(k) as the shortest distance from s to k. pi(k) = p+1,</a>
+<a name="33"><span class="lineNum">      33 </span>            : // where p is the parent node of k-th node in the shortest path. In particular,</a>
+<a name="34"><span class="lineNum">      34 </span>            : // pi(s) = 0. h(k) = hop(s, k), the number of edges from s to k in the shortest</a>
+<a name="35"><span class="lineNum">      35 </span>            : // path.</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="38"><span class="lineNum">      38 </span>            : // GrB_Vectors d(k), pi(k) and h(k)  (i.e., *pd_output, *ppi_output and</a>
+<a name="39"><span class="lineNum">      39 </span>            : // *ph_output respectively) will be NULL when negative-weight cycle detected.</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : // Otherwise, other errors such as GrB_OUT_OF_MEMORY, GrB_INVALID_OBJECT, and</a>
+<a name="42"><span class="lineNum">      42 </span>            : // so on, can be returned, if these errors are found by the underlying</a>
+<a name="43"><span class="lineNum">      43 </span>            : // GrB_* functions.</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //------------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : #define LG_FREE_WORK                   \</a>
+<a name="48"><span class="lineNum">      48 </span>            : {                                      \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free(&amp;d);                      \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_free(&amp;dmasked);                \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free(&amp;dless);                  \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free(&amp;Atmp);                   \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_free(&amp;BF_Tuple3);              \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3);         \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_free(&amp;BF_PLUSrhs_Tuple3);      \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_free(&amp;BF_LT_Tuple3);           \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3_Monoid);  \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_free(&amp;BF_lMIN_PLUSrhs_Tuple3); \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     LAGraph_Free ((void**)&amp;I, NULL);   \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     LAGraph_Free ((void**)&amp;J, NULL);   \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_Free ((void**)&amp;w, NULL);   \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_Free ((void**)&amp;W, NULL);   \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_Free ((void**)&amp;h, NULL);   \</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_Free ((void**)&amp;pi, NULL);  \</a>
+<a name="65"><span class="lineNum">      65 </span>            : }</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : #define LG_FREE_ALL                    \</a>
+<a name="68"><span class="lineNum">      68 </span>            : {                                      \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     LG_FREE_WORK ;                     \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_free (pd_output);              \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (ppi_output);             \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_free (ph_output);              \</a>
+<a name="73"><span class="lineNum">      73 </span>            : }</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="76"><span class="lineNum">      76 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="77"><span class="lineNum">      77 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            : typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : // data type for each entry of the adjacent matrix A and &quot;distance&quot; vector d;</a>
+<a name="83"><span class="lineNum">      83 </span>            : // &lt;INFINITY,INFINITY,INFINITY&gt; corresponds to nonexistence of a path, and</a>
+<a name="84"><span class="lineNum">      84 </span>            : // the value  &lt;0, 0, NULL&gt; corresponds to a path from a vertex to itself</a>
+<a name="85"><span class="lineNum">      85 </span>            : //------------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : typedef struct</a>
+<a name="88"><span class="lineNum">      88 </span>            : {</a>
+<a name="89"><span class="lineNum">      89 </span>            :     double w;    // w  corresponds to a path weight.</a>
+<a name="90"><span class="lineNum">      90 </span>            :     GrB_Index h; // h  corresponds to a path size or number of hops.</a>
+<a name="91"><span class="lineNum">      91 </span>            :     GrB_Index pi;// pi corresponds to the penultimate vertex along a path.</a>
+<a name="92"><span class="lineNum">      92 </span>            :                  // vertex indexed as 1, 2, 3, ... , V, and pi = 0 (as nil)</a>
+<a name="93"><span class="lineNum">      93 </span>            :                  // for u=v, and pi = UINT64_MAX (as inf) for (u,v) not in E</a>
+<a name="94"><span class="lineNum">      94 </span>            : }</a>
+<a name="95"><span class="lineNum">      95 </span>            : BF_Tuple3_struct;</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : //------------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            : // binary functions, z=f(x,y), where Tuple3xTuple3 -&gt; Tuple3</a>
+<a name="99"><span class="lineNum">      99 </span>            : //------------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">      13716 : void BF_lMIN3</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : (</a>
+<a name="103"><span class="lineNum">     103 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="106"><span class="lineNum">     106 </span>            : )</a>
+<a name="107"><span class="lineNum">     107 </span>            : {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">      13716 :     if (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       4243 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">       4243 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi))</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :     {</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">       9568 :         if (z != x) { *z = *x; }</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :     }</a>
+<a name="114"><span class="lineNum">     114 </span>            :     else</a>
+<a name="115"><span class="lineNum">     115 </span>            :     {</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">       4148 :         *z = *y;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     }</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">      13716 : }</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">      18388 : void BF_PLUSrhs3</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : (</a>
+<a name="122"><span class="lineNum">     122 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="123"><span class="lineNum">     123 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="124"><span class="lineNum">     124 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="125"><span class="lineNum">     125 </span>            : )</a>
+<a name="126"><span class="lineNum">     126 </span>            : {</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">      18388 :     z-&gt;w = x-&gt;w + y-&gt;w ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">      18388 :     z-&gt;h = x-&gt;h + y-&gt;h ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">      18388 :     z-&gt;pi = (x-&gt;pi != UINT64_MAX &amp;&amp; y-&gt;pi != 0) ?  y-&gt;pi : x-&gt;pi ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">      18388 : }</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">       4672 : void BF_LT3</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : (</a>
+<a name="134"><span class="lineNum">     134 </span>            :     bool *z,</a>
+<a name="135"><span class="lineNum">     135 </span>            :     const BF_Tuple3_struct *x,</a>
+<a name="136"><span class="lineNum">     136 </span>            :     const BF_Tuple3_struct *y</a>
+<a name="137"><span class="lineNum">     137 </span>            : )</a>
+<a name="138"><span class="lineNum">     138 </span>            : {</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">       9344 :     (*z) = (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        428 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">       5100 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">       4672 : }</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="145"><span class="lineNum">     145 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="146"><span class="lineNum">     146 </span>            : // of shortest paths from s and parents along the paths as vector d. Otherwise,</a>
+<a name="147"><span class="lineNum">     147 </span>            : // returns d=NULL if there is a negtive-weight cycle.</a>
+<a name="148"><span class="lineNum">     148 </span>            : // pd_output is pointer to a GrB_Vector, where the i-th entry is d(s,i), the</a>
+<a name="149"><span class="lineNum">     149 </span>            : //   sum of edges length in the shortest path</a>
+<a name="150"><span class="lineNum">     150 </span>            : // ppi_output is pointer to a GrB_Vector, where the i-th entry is pi(i), the</a>
+<a name="151"><span class="lineNum">     151 </span>            : //   parent of i-th vertex in the shortest path</a>
+<a name="152"><span class="lineNum">     152 </span>            : // ph_output is pointer to a GrB_Vector, where the i-th entry is h(s,i), the</a>
+<a name="153"><span class="lineNum">     153 </span>            : //   number of edges from s to i in the shortest path</a>
+<a name="154"><span class="lineNum">     154 </span>            : // A has weights on corresponding entries of edges</a>
+<a name="155"><span class="lineNum">     155 </span>            : // s is given index for source vertex</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_full1a</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : (</a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="159"><span class="lineNum">     159 </span>            :     GrB_Vector *ppi_output,     //the pointer to the vector of parent</a>
+<a name="160"><span class="lineNum">     160 </span>            :     GrB_Vector *ph_output,      //the pointer to the vector of hops</a>
+<a name="161"><span class="lineNum">     161 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="162"><span class="lineNum">     162 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="163"><span class="lineNum">     163 </span>            : )</a>
+<a name="164"><span class="lineNum">     164 </span>            : {</a>
+<a name="165"><span class="lineNum">     165 </span>            :     GrB_Info info;</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dmasked = NULL, dless = NULL;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          5 :     GrB_Matrix Atmp = NULL;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :     GrB_Type BF_Tuple3;</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :     GrB_BinaryOp BF_lMIN_Tuple3;</a>
+<a name="173"><span class="lineNum">     173 </span>            :     GrB_BinaryOp BF_PLUSrhs_Tuple3;</a>
+<a name="174"><span class="lineNum">     174 </span>            :     GrB_BinaryOp BF_LT_Tuple3;</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     GrB_Monoid BF_lMIN_Tuple3_Monoid;</a>
+<a name="177"><span class="lineNum">     177 </span>            :     GrB_Semiring BF_lMIN_PLUSrhs_Tuple3;</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :     GrB_Index nrows, ncols, n, nz;  // n = # of row/col, nz = # of nnz in graph</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          5 :     GrB_Index *I = NULL, *J = NULL; // for col/row indices of entries from A</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          5 :     GrB_Index *h = NULL, *pi = NULL;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          5 :     double *w = NULL;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :     BF_Tuple3_struct *W = NULL;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          5 :     if (pd_output  != NULL) *pd_output  = NULL;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          5 :     if (ppi_output != NULL) *ppi_output = NULL;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          5 :     if (ph_output  != NULL) *ph_output  = NULL;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          5 :     LG_ASSERT (A != NULL &amp;&amp; pd_output != NULL &amp;&amp;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :         ppi_output != NULL &amp;&amp; ph_output != NULL, GrB_NULL_POINTER) ;</a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nvals (&amp;nz, A));</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          5 :     n = nrows;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            :     // create all GrB_Type GrB_BinaryOp GrB_Monoid and GrB_Semiring</a>
+<a name="201"><span class="lineNum">     201 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            :     // GrB_Type</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Type_new(&amp;BF_Tuple3, sizeof(BF_Tuple3_struct)));</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span>            :     // GrB_BinaryOp</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_LT_Tuple3,</span></a>
+<a name="207"><span class="lineNum">     207 </span>            :         (LAGraph_binary_function) (&amp;BF_LT3), GrB_BOOL, BF_Tuple3, BF_Tuple3));</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_lMIN_Tuple3,</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         (LAGraph_binary_function) (&amp;BF_lMIN3), BF_Tuple3, BF_Tuple3,BF_Tuple3));</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_PLUSrhs_Tuple3,</span></a>
+<a name="211"><span class="lineNum">     211 </span>            :         (LAGraph_binary_function)(&amp;BF_PLUSrhs3),</a>
+<a name="212"><span class="lineNum">     212 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :     // GrB_Monoid</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          5 :     BF_Tuple3_struct BF_identity = (BF_Tuple3_struct) { .w = INFINITY,</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         .h = UINT64_MAX, .pi = UINT64_MAX };</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Monoid_new_UDT(&amp;BF_lMIN_Tuple3_Monoid, BF_lMIN_Tuple3,</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :         &amp;BF_identity));</a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :     //GrB_Semiring</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Semiring_new(&amp;BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :         BF_lMIN_Tuple3_Monoid, BF_PLUSrhs_Tuple3));</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="225"><span class="lineNum">     225 </span>            :     // allocate arrays used for tuplets</a>
+<a name="226"><span class="lineNum">     226 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="227"><span class="lineNum">     227 </span>            : #if 1</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;J, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, nz, sizeof(double), msg)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, nz, sizeof(BF_Tuple3_struct),</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :         msg)) ;</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="235"><span class="lineNum">     235 </span>            :     // create matrix Atmp based on A, while its entries become BF_Tuple3 type</a>
+<a name="236"><span class="lineNum">     236 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_extractTuples_FP64(I, J, w, &amp;nz, A));</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          5 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          5 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          5 :     printf (&quot;nthreads %d\n&quot;, nthreads) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span>            :     int64_t k;</a>
+<a name="244"><span class="lineNum">     244 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">        773 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="246"><span class="lineNum">     246 </span>            :     {</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        768 :         W[k] = (BF_Tuple3_struct) { .w = w[k], .h = 1, .pi = I[k] + 1 };</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :     }</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_new(&amp;Atmp, BF_Tuple3, n, n));</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_build_UDT(Atmp, I, J, W, nz, BF_lMIN_Tuple3));</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;I, NULL);</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;J, NULL);</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;W, NULL);</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;w, NULL);</span></a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            : #else</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            :     todo: GraphBLAS could use a new kind of unary operator, not z=f(x), but</a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span>            :     [z,flag] = f (aij, i, j, k, nrows, ncols, nvals, etc, ...)</a>
+<a name="261"><span class="lineNum">     261 </span>            :     flag: keep or discard.  Combines GrB_apply and GxB_select.</a>
+<a name="262"><span class="lineNum">     262 </span>            : </a>
+<a name="263"><span class="lineNum">     263 </span>            :     builtins:</a>
+<a name="264"><span class="lineNum">     264 </span>            :         f(...) =</a>
+<a name="265"><span class="lineNum">     265 </span>            :             i, bool is true</a>
+<a name="266"><span class="lineNum">     266 </span>            :             j, bool is true</a>
+<a name="267"><span class="lineNum">     267 </span>            :             i+j*nrows, etc.</a>
+<a name="268"><span class="lineNum">     268 </span>            :             k</a>
+<a name="269"><span class="lineNum">     269 </span>            :             tril, triu (like GxB_select): return aij, and true/false boolean</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            :         z=f(x,i).  x: double, z:tuple3, i:GrB_Index with the row index of x</a>
+<a name="272"><span class="lineNum">     272 </span>            :         // z = (BF_Tuple3_struct) { .w = x, .h = 1, .pi = i + 1 };</a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span>            :     GrB_apply (Atmp, op, A, ...)</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     in the BFS, this is used:</a>
+<a name="277"><span class="lineNum">     277 </span>            :         op:  z = f ( .... ) = i</a>
+<a name="278"><span class="lineNum">     278 </span>            :         to replace x(i) with i</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            : #endif</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="283"><span class="lineNum">     283 </span>            :     // create and initialize &quot;distance&quot; vector d, dmasked and dless</a>
+<a name="284"><span class="lineNum">     284 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, BF_Tuple3, n));</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :     // make d dense</a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_assign_UDT(d, NULL, NULL, (void*)&amp;BF_identity,</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :         GrB_ALL, n, NULL));</a>
+<a name="289"><span class="lineNum">     289 </span>            :     // initial distance from s to itself</a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          5 :     BF_Tuple3_struct d0 = (BF_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(d, &amp;d0, s));</span></a>
+<a name="292"><span class="lineNum">     292 </span>            : </a>
+<a name="293"><span class="lineNum">     293 </span>            :     // creat dmasked as a sparse vector with only one entry at s</a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;dmasked, BF_Tuple3, n));</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(dmasked, &amp;d0, s));</span></a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span>            :     // create dless</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;dless, GrB_BOOL, n));</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="301"><span class="lineNum">     301 </span>            :     // start the Bellman Ford process</a>
+<a name="302"><span class="lineNum">     302 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          5 :     bool any_dless= true;      // if there is any newly found shortest path</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          5 :     int64_t iter = 0;          // number of iterations</span></a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span>            :     // terminate when no new path is found or more than V-1 loops</a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">         93 :     while (any_dless &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="308"><span class="lineNum">     308 </span>            :     {</a>
+<a name="309"><span class="lineNum">     309 </span>            :         // execute semiring on dmasked and A, and save the result to dmasked</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         88 :         GRB_TRY (GrB_vxm(dmasked, GrB_NULL, GrB_NULL,</span></a>
+<a name="311"><span class="lineNum">     311 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dmasked, Atmp, GrB_NULL));</a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span>            :         // dless = d .&lt; dtmp</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">         88 :         GRB_TRY (GrB_eWiseMult(dless, NULL, NULL, BF_LT_Tuple3, dmasked, d,</span></a>
+<a name="315"><span class="lineNum">     315 </span>            :             NULL));</a>
+<a name="316"><span class="lineNum">     316 </span>            : </a>
+<a name="317"><span class="lineNum">     317 </span>            :         // if there is no entry with smaller distance then all shortest paths</a>
+<a name="318"><span class="lineNum">     318 </span>            :         // are found</a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">         88 :         GRB_TRY (GrB_reduce (&amp;any_dless, NULL, GrB_LOR_MONOID_BOOL, dless,</span></a>
+<a name="320"><span class="lineNum">     320 </span>            :             NULL)) ;</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">         88 :         if(any_dless)</span></a>
+<a name="322"><span class="lineNum">     322 </span>            :         {</a>
+<a name="323"><span class="lineNum">     323 </span>            :             // update all entries with smaller distances</a>
+<a name="324"><span class="lineNum">     324 </span>            :             //GRB_TRY (GrB_apply(d, dless, NULL, BF_Identity_Tuple3,</a>
+<a name="325"><span class="lineNum">     325 </span>            :             //    dmasked, NULL));</a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">         85 :             GRB_TRY (GrB_assign(d, dless, NULL, dmasked, GrB_ALL, n, NULL));</span></a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span>            :             // only use entries that were just updated</a>
+<a name="329"><span class="lineNum">     329 </span>            :             //GRB_TRY (GrB_Vector_clear(dmasked));</a>
+<a name="330"><span class="lineNum">     330 </span>            :             //GRB_TRY (GrB_apply(dmasked, dless, NULL, BF_Identity_Tuple3,</a>
+<a name="331"><span class="lineNum">     331 </span>            :             //    d, NULL));</a>
+<a name="332"><span class="lineNum">     332 </span>            :             //try:</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">         85 :             GRB_TRY (GrB_assign(dmasked, dless, NULL, d, GrB_ALL, n, GrB_DESC_R));</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :         }</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">         88 :         iter ++;</span></a>
+<a name="336"><span class="lineNum">     336 </span>            :     }</a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="339"><span class="lineNum">     339 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          5 :     if (any_dless)</span></a>
+<a name="341"><span class="lineNum">     341 </span>            :     {</a>
+<a name="342"><span class="lineNum">     342 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">          2 :         GRB_TRY (GrB_vxm(dmasked, GrB_NULL, GrB_NULL,</span></a>
+<a name="344"><span class="lineNum">     344 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dmasked, Atmp, GrB_NULL));</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span>            :         // dless = d .&lt; dtmp</a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          2 :         GRB_TRY (GrB_eWiseMult(dless, NULL, NULL, BF_LT_Tuple3, dmasked, d,</span></a>
+<a name="348"><span class="lineNum">     348 </span>            :             NULL));</a>
+<a name="349"><span class="lineNum">     349 </span>            : </a>
+<a name="350"><span class="lineNum">     350 </span>            :         // if there is no entry with smaller distance then all shortest paths</a>
+<a name="351"><span class="lineNum">     351 </span>            :         // are found</a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">          2 :         GRB_TRY (GrB_reduce (&amp;any_dless, NULL, GrB_LOR_MONOID_BOOL, dless,</span></a>
+<a name="353"><span class="lineNum">     353 </span>            :             NULL)) ;</a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">          2 :         if(any_dless)</span></a>
+<a name="355"><span class="lineNum">     355 </span>            :         {</a>
+<a name="356"><span class="lineNum">     356 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span>            :         }</a>
+<a name="360"><span class="lineNum">     360 </span>            :     }</a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="363"><span class="lineNum">     363 </span>            :     // extract tuple from &quot;distance&quot; vector d and create GrB_Vectors for output</a>
+<a name="364"><span class="lineNum">     364 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, n, sizeof(BF_Tuple3_struct),</span></a>
+<a name="368"><span class="lineNum">     368 </span>            :         msg)) ;</a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, n, sizeof(double), msg)) ;</span></a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;h, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;pi, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span>            : </a>
+<a name="373"><span class="lineNum">     373 </span>            :     // todo: create 3 unary ops, and use GrB_apply?</a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_extractTuples_UDT (I, (void *) W, &amp;n, d));</span></a>
+<a name="376"><span class="lineNum">     376 </span>            : </a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">        111 :     for (k = 0; k &lt; n; k++)</span></a>
+<a name="378"><span class="lineNum">     378 </span>            :     {</a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">        108 :         w [k] = W[k].w ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">        108 :         h [k] = W[k].h ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">        108 :         pi[k] = W[k].pi;</span></a>
+<a name="382"><span class="lineNum">     382 </span>            :     }</a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(pd_output,  GrB_FP64,   n));</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ppi_output, GrB_UINT64, n));</span></a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ph_output,  GrB_UINT64, n));</span></a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*pd_output , I, w , n, GrB_MIN_FP64  ));</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ppi_output, I, pi, n, GrB_MIN_UINT64));</span></a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ph_output , I, h , n, GrB_MIN_UINT64));</span></a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">          3 :     LG_FREE_WORK;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full2.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_full2.c.func-sort-c.html
new file mode 100644
index 0000000000..2536182ffb
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full2.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full2.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_full2.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#152">LAGraph_BF_full2</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#129">BF2_EQ</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#98">BF2_lMIN2</a></td>
+              <td class="coverFnHi">20299</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#117">BF2_PLUSrhs2</a></td>
+              <td class="coverFnHi">20476</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full2.c.func.html b/experimental/algorithm/LAGraph_BF_full2.c.func.html
new file mode 100644
index 0000000000..24adfdb624
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full2.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full2.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_full2.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#129">BF2_EQ</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#117">BF2_PLUSrhs2</a></td>
+              <td class="coverFnHi">20476</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#98">BF2_lMIN2</a></td>
+              <td class="coverFnHi">20299</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full2.c.gcov.html#152">LAGraph_BF_full2</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full2.c.gcov.html b/experimental/algorithm/LAGraph_BF_full2.c.gcov.html
new file mode 100644
index 0000000000..a99bbc1ac2
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full2.c.gcov.html
@@ -0,0 +1,425 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full2.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full2.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_full2.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_full2.c: Bellman-Ford single-source shortest paths, returns tree,</a>
+<a name="3"><span class="lineNum">       3 </span>            : // while diagonal of input matrix A needs not to be explicit 0, using the</a>
+<a name="4"><span class="lineNum">       4 </span>            : // frontier idea from Roi Lipman</a>
+<a name="5"><span class="lineNum">       5 </span>            : //------------------------------------------------------------------------------</a>
+<a name="6"><span class="lineNum">       6 </span>            : </a>
+<a name="7"><span class="lineNum">       7 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="8"><span class="lineNum">       8 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="9"><span class="lineNum">       9 </span>            : //</a>
+<a name="10"><span class="lineNum">      10 </span>            : // For additional details (including references to third party source code and</a>
+<a name="11"><span class="lineNum">      11 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="12"><span class="lineNum">      12 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="13"><span class="lineNum">      13 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="14"><span class="lineNum">      14 </span>            : // DM22-0790</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : //------------------------------------------------------------------------------</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // LAGraph_BF_full2: Bellman-Ford single source shortest paths, returning both</a>
+<a name="21"><span class="lineNum">      21 </span>            : // the path lengths and the shortest-path tree.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // LAGraph_BF_full2 performs a Bellman-Ford to find out shortest path, parent</a>
+<a name="24"><span class="lineNum">      24 </span>            : // nodes along the path and the hops (number of edges) in the path from given</a>
+<a name="25"><span class="lineNum">      25 </span>            : // source vertex s in the range of [0, n) on graph given as matrix A with size</a>
+<a name="26"><span class="lineNum">      26 </span>            : // n*n. The sparse matrix A has entry A(i, j) if there is an edge from vertex i</a>
+<a name="27"><span class="lineNum">      27 </span>            : // to vertex j with weight w, then A(i, j) = w.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : // LAGraph_BF_full2 returns GrB_SUCCESS if it succeeds.  In this case, there</a>
+<a name="30"><span class="lineNum">      30 </span>            : // are no negative-weight cycles in the graph, and d, pi, and h are returned.</a>
+<a name="31"><span class="lineNum">      31 </span>            : // The vector d has d(k) as the shortest distance from s to k. pi(k) = p+1,</a>
+<a name="32"><span class="lineNum">      32 </span>            : // where p is the parent node of k-th node in the shortest path. In particular,</a>
+<a name="33"><span class="lineNum">      33 </span>            : // pi(s) = 0. h(k) = hop(s, k), the number of edges from s to k in the shortest</a>
+<a name="34"><span class="lineNum">      34 </span>            : // path.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="37"><span class="lineNum">      37 </span>            : // GrB_Vectors d(k), pi(k) and h(k)  (i.e., *pd_output, *ppi_output and</a>
+<a name="38"><span class="lineNum">      38 </span>            : // *ph_output respectively) will be NULL when negative-weight cycle detected.</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : // Otherwise, other errors such as GrB_OUT_OF_MEMORY, GrB_INVALID_OBJECT, and</a>
+<a name="41"><span class="lineNum">      41 </span>            : // so on, can be returned, if these errors are found by the underlying</a>
+<a name="42"><span class="lineNum">      42 </span>            : // GrB_* functions.</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : //------------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : #define LG_FREE_WORK                   \</a>
+<a name="47"><span class="lineNum">      47 </span>            : {                                      \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     GrB_free(&amp;d);                      \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free(&amp;dtmp);                   \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_free(&amp;dfrontier);              \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free(&amp;Atmp);                   \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free(&amp;BF_Tuple3);              \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3);         \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_free(&amp;BF_PLUSrhs_Tuple3);      \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_free(&amp;BF_EQ_Tuple3);           \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3_Monoid);  \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_free(&amp;BF_lMIN_PLUSrhs_Tuple3); \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     LAGraph_Free ((void**)&amp;I, NULL);   \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     LAGraph_Free ((void**)&amp;J, NULL);   \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     LAGraph_Free ((void**)&amp;w, NULL);   \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_Free ((void**)&amp;W, NULL);   \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_Free ((void**)&amp;h, NULL);   \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_Free ((void**)&amp;pi, NULL);  \</a>
+<a name="64"><span class="lineNum">      64 </span>            : }</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : #define LG_FREE_ALL                    \</a>
+<a name="67"><span class="lineNum">      67 </span>            : {                                      \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     LG_FREE_WORK ;                     \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_free (pd_output);              \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_free (ppi_output);             \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (ph_output);              \</a>
+<a name="72"><span class="lineNum">      72 </span>            : }</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="75"><span class="lineNum">      75 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="76"><span class="lineNum">      76 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            : typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : // data type for each entry of the adjacent matrix A and &quot;distance&quot; vector d;</a>
+<a name="83"><span class="lineNum">      83 </span>            : // &lt;INFINITY,INFINITY,INFINITY&gt; corresponds to nonexistence of a path, and</a>
+<a name="84"><span class="lineNum">      84 </span>            : // the value  &lt;0, 0, NULL&gt; corresponds to a path from a vertex to itself</a>
+<a name="85"><span class="lineNum">      85 </span>            : //------------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : typedef struct</a>
+<a name="87"><span class="lineNum">      87 </span>            : {</a>
+<a name="88"><span class="lineNum">      88 </span>            :     double w;    // w  corresponds to a path weight.</a>
+<a name="89"><span class="lineNum">      89 </span>            :     GrB_Index h; // h  corresponds to a path size or number of hops.</a>
+<a name="90"><span class="lineNum">      90 </span>            :     GrB_Index pi;// pi corresponds to the penultimate vertex along a path.</a>
+<a name="91"><span class="lineNum">      91 </span>            :                  // vertex indexed as 1, 2, 3, ... , V, and pi = 0 (as nil)</a>
+<a name="92"><span class="lineNum">      92 </span>            :                  // for u=v, and pi = UINT64_MAX (as inf) for (u,v) not in E</a>
+<a name="93"><span class="lineNum">      93 </span>            : }</a>
+<a name="94"><span class="lineNum">      94 </span>            : BF2_Tuple3_struct;</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            : //------------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            : // binary functions, z=f(x,y), where Tuple3xTuple3 -&gt; Tuple3</a>
+<a name="98"><span class="lineNum">      98 </span>            : //------------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">      20299 : void BF2_lMIN2</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : (</a>
+<a name="102"><span class="lineNum">     102 </span>            :     BF2_Tuple3_struct *z,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     const BF2_Tuple3_struct *x,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     const BF2_Tuple3_struct *y</a>
+<a name="105"><span class="lineNum">     105 </span>            : )</a>
+<a name="106"><span class="lineNum">     106 </span>            : {</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">      20299 :     if (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">       8956 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       8956 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi))</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     {</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">      11626 :         if (z != x) { *z = *x; }</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            :     else</a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">       8673 :         *z = *y;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     }</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">      20299 : }</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">      20476 : void BF2_PLUSrhs2</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : (</a>
+<a name="121"><span class="lineNum">     121 </span>            :     BF2_Tuple3_struct *z,</a>
+<a name="122"><span class="lineNum">     122 </span>            :     const BF2_Tuple3_struct *x,</a>
+<a name="123"><span class="lineNum">     123 </span>            :     const BF2_Tuple3_struct *y</a>
+<a name="124"><span class="lineNum">     124 </span>            : )</a>
+<a name="125"><span class="lineNum">     125 </span>            : {</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">      20476 :     z-&gt;w = x-&gt;w + y-&gt;w ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">      20476 :     z-&gt;h = x-&gt;h + y-&gt;h ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">      20476 :     z-&gt;pi = (x-&gt;pi != UINT64_MAX &amp;&amp; y-&gt;pi != 0) ?  y-&gt;pi : x-&gt;pi ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">      20476 : }</span></a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">       4424 : void BF2_EQ</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : (</a>
+<a name="133"><span class="lineNum">     133 </span>            :     bool *z,</a>
+<a name="134"><span class="lineNum">     134 </span>            :     const BF2_Tuple3_struct *x,</a>
+<a name="135"><span class="lineNum">     135 </span>            :     const BF2_Tuple3_struct *y</a>
+<a name="136"><span class="lineNum">     136 </span>            : )</a>
+<a name="137"><span class="lineNum">     137 </span>            : {</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">       4424 :     (*z) = (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi == y-&gt;pi) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">       4424 : }</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            : // Given a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="142"><span class="lineNum">     142 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="143"><span class="lineNum">     143 </span>            : // of shortest paths from s and parents along the paths as vector d. Otherwise,</a>
+<a name="144"><span class="lineNum">     144 </span>            : // returns d=NULL if there is a negtive-weight cycle.</a>
+<a name="145"><span class="lineNum">     145 </span>            : // pd_output is pointer to a GrB_Vector, where the i-th entry is d(s,i), the</a>
+<a name="146"><span class="lineNum">     146 </span>            : //   sum of edges length in the shortest path</a>
+<a name="147"><span class="lineNum">     147 </span>            : // ppi_output is pointer to a GrB_Vector, where the i-th entry is pi(i), the</a>
+<a name="148"><span class="lineNum">     148 </span>            : //   parent of i-th vertex in the shortest path</a>
+<a name="149"><span class="lineNum">     149 </span>            : // ph_output is pointer to a GrB_Vector, where the i-th entry is h(s,i), the</a>
+<a name="150"><span class="lineNum">     150 </span>            : //   number of edges from s to i in the shortest path</a>
+<a name="151"><span class="lineNum">     151 </span>            : // A has weights on corresponding entries of edges</a>
+<a name="152"><span class="lineNum">     152 </span>            : // s is given index for source vertex</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_full2</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : (</a>
+<a name="156"><span class="lineNum">     156 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="157"><span class="lineNum">     157 </span>            :     GrB_Vector *ppi_output,     //the pointer to the vector of parent</a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_Vector *ph_output,       //the pointer to the vector of hops</a>
+<a name="159"><span class="lineNum">     159 </span>            :     const GrB_Matrix A,         //matrix for the graph</a>
+<a name="160"><span class="lineNum">     160 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="161"><span class="lineNum">     161 </span>            : )</a>
+<a name="162"><span class="lineNum">     162 </span>            : {</a>
+<a name="163"><span class="lineNum">     163 </span>            :     GrB_Info info;</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dtmp = NULL, dfrontier = NULL;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          5 :     GrB_Matrix Atmp = NULL;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :     GrB_Type BF_Tuple3;</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :     GrB_BinaryOp BF_lMIN_Tuple3;</a>
+<a name="171"><span class="lineNum">     171 </span>            :     GrB_BinaryOp BF_PLUSrhs_Tuple3;</a>
+<a name="172"><span class="lineNum">     172 </span>            :     GrB_BinaryOp BF_EQ_Tuple3;</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :     GrB_Monoid BF_lMIN_Tuple3_Monoid;</a>
+<a name="175"><span class="lineNum">     175 </span>            :     GrB_Semiring BF_lMIN_PLUSrhs_Tuple3;</a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :     GrB_Index nrows, ncols, n, nz;  // n = # of row/col, nz = # of nnz in graph</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          5 :     GrB_Index *I = NULL, *J = NULL; // for col/row indices of entries from A</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          5 :     GrB_Index *h = NULL, *pi = NULL;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          5 :     double *w = NULL;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          5 :     BF2_Tuple3_struct *W = NULL;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :     LG_ASSERT (A != NULL &amp;&amp; pd_output != NULL &amp;&amp;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :         ppi_output != NULL &amp;&amp; ph_output != NULL, GrB_NULL_POINTER) ;</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          5 :     *pd_output  = NULL;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          5 :     *ppi_output = NULL;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          5 :     *ph_output  = NULL;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nvals (&amp;nz, A));</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :     n = nrows;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            :     // create all GrB_Type GrB_BinaryOp GrB_Monoid and GrB_Semiring</a>
+<a name="198"><span class="lineNum">     198 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            :     // GrB_Type</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Type_new(&amp;BF_Tuple3, sizeof(BF2_Tuple3_struct)));</span></a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :     // GrB_BinaryOp</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_EQ_Tuple3,</span></a>
+<a name="204"><span class="lineNum">     204 </span>            :         (LAGraph_binary_function) (&amp;BF2_EQ), GrB_BOOL, BF_Tuple3, BF_Tuple3));</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_lMIN_Tuple3,</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :         (LAGraph_binary_function) (&amp;BF2_lMIN2),</a>
+<a name="207"><span class="lineNum">     207 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_PLUSrhs_Tuple3,</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         (LAGraph_binary_function)(&amp;BF2_PLUSrhs2),</a>
+<a name="210"><span class="lineNum">     210 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     // GrB_Monoid</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          5 :     BF2_Tuple3_struct BF_identity = (BF2_Tuple3_struct) { .w = INFINITY,</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :         .h = UINT64_MAX, .pi = UINT64_MAX };</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Monoid_new_UDT(&amp;BF_lMIN_Tuple3_Monoid, BF_lMIN_Tuple3,</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         &amp;BF_identity));</a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            :     //GrB_Semiring</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Semiring_new(&amp;BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         BF_lMIN_Tuple3_Monoid, BF_PLUSrhs_Tuple3));</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="223"><span class="lineNum">     223 </span>            :     // allocate arrays used for tuplets</a>
+<a name="224"><span class="lineNum">     224 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;J, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, nz, sizeof(double), msg)) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, nz, sizeof(BF2_Tuple3_struct),</span></a>
+<a name="230"><span class="lineNum">     230 </span>            :         msg)) ;</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="233"><span class="lineNum">     233 </span>            :     // create matrix Atmp based on A, while its entries become BF_Tuple3 type</a>
+<a name="234"><span class="lineNum">     234 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="235"><span class="lineNum">     235 </span>            : </a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_extractTuples_FP64(I, J, w, &amp;nz, A));</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          5 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          5 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          5 :     printf (&quot;nthreads %d\n&quot;, nthreads) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :     int64_t k;</a>
+<a name="242"><span class="lineNum">     242 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        773 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :     {</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">        768 :         if (w[k] == 0)             //diagonal entries</span></a>
+<a name="246"><span class="lineNum">     246 </span>            :         {</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          2 :             W[k] = (BF2_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :         }</a>
+<a name="249"><span class="lineNum">     249 </span>            :         else</a>
+<a name="250"><span class="lineNum">     250 </span>            :         {</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">        766 :             W[k] = (BF2_Tuple3_struct) { .w = w[k], .h = 1, .pi = I[k] + 1 };</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :         }</a>
+<a name="253"><span class="lineNum">     253 </span>            :     }</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_new(&amp;Atmp, BF_Tuple3, n, n));</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_build_UDT(Atmp, I, J, W, nz, BF_lMIN_Tuple3));</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;I, NULL);</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;J, NULL);</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;W, NULL);</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;w, NULL);</span></a>
+<a name="260"><span class="lineNum">     260 </span>            : </a>
+<a name="261"><span class="lineNum">     261 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="262"><span class="lineNum">     262 </span>            :     // create and initialize &quot;distance&quot; vector d</a>
+<a name="263"><span class="lineNum">     263 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, BF_Tuple3, n));</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :     // initial distance from s to itself</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          5 :     BF2_Tuple3_struct d0 = (BF2_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(d, &amp;d0, s));</span></a>
+<a name="268"><span class="lineNum">     268 </span>            : </a>
+<a name="269"><span class="lineNum">     269 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="270"><span class="lineNum">     270 </span>            :     // start the Bellman Ford process</a>
+<a name="271"><span class="lineNum">     271 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="272"><span class="lineNum">     272 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dfrontier, d));</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          5 :     bool same= false;          // variable indicating if d == dtmp</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          5 :     int64_t iter = 0;          // number of iterations</span></a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            :     // terminate when no new path is found or more than V-1 loops</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">         93 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="280"><span class="lineNum">     280 </span>            :     {</a>
+<a name="281"><span class="lineNum">     281 </span>            :         // execute semiring on d and A, and save the result to dtmp</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         88 :         GRB_TRY (GrB_vxm(dfrontier, GrB_NULL, GrB_NULL,</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dfrontier, Atmp, GrB_NULL));</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :         // dtmp[i] = min(d[i], dfrontier[i]).</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         88 :         GrB_Vector_eWiseAdd_BinaryOp(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_Tuple3,</span></a>
+<a name="287"><span class="lineNum">     287 </span>            :             d, dfrontier, GrB_NULL);</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">         88 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">         88 :         if (!same)</span></a>
+<a name="291"><span class="lineNum">     291 </span>            :         {</a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">         85 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">         85 :             dtmp = d;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">         85 :             d = ttmp;</span></a>
+<a name="295"><span class="lineNum">     295 </span>            :         }</a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">         88 :         iter ++;</span></a>
+<a name="297"><span class="lineNum">     297 </span>            :     }</a>
+<a name="298"><span class="lineNum">     298 </span>            : </a>
+<a name="299"><span class="lineNum">     299 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="300"><span class="lineNum">     300 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">          5 :     if (!same)</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :     {</a>
+<a name="303"><span class="lineNum">     303 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          2 :         GRB_TRY (GrB_vxm(dfrontier, GrB_NULL, GrB_NULL,</span></a>
+<a name="305"><span class="lineNum">     305 </span>            :             BF_lMIN_PLUSrhs_Tuple3, dfrontier, Atmp, GrB_NULL));</a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span>            :         // dtmp[i] = min(d[i], dfrontier[i]).</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          2 :         GrB_Vector_eWiseAdd_BinaryOp(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_Tuple3,</span></a>
+<a name="309"><span class="lineNum">     309 </span>            :             d, dfrontier, GrB_NULL);</a>
+<a name="310"><span class="lineNum">     310 </span>            : </a>
+<a name="311"><span class="lineNum">     311 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">          2 :         if (!same)</span></a>
+<a name="314"><span class="lineNum">     314 </span>            :         {</a>
+<a name="315"><span class="lineNum">     315 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span>            :         }</a>
+<a name="319"><span class="lineNum">     319 </span>            :     }</a>
+<a name="320"><span class="lineNum">     320 </span>            : </a>
+<a name="321"><span class="lineNum">     321 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="322"><span class="lineNum">     322 </span>            :     // extract tuple from &quot;distance&quot; vector d and create GrB_Vectors for output</a>
+<a name="323"><span class="lineNum">     323 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, n, sizeof(BF2_Tuple3_struct),</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :         msg)) ;</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, n, sizeof(double), msg)) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;h, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;pi, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          3 :     nz = n ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_extractTuples_UDT (I, (void *) W, &amp;nz, d));</span></a>
+<a name="334"><span class="lineNum">     334 </span>            : </a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">        111 :     for (k = 0; k &lt; nz; k++)</span></a>
+<a name="336"><span class="lineNum">     336 </span>            :     {</a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">        108 :         w [k] = W[k].w ;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">        108 :         h [k] = W[k].h ;</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">        108 :         pi[k] = W[k].pi;</span></a>
+<a name="340"><span class="lineNum">     340 </span>            :     }</a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(pd_output,  GrB_FP64,   n));</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ppi_output, GrB_UINT64, n));</span></a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ph_output,  GrB_UINT64, n));</span></a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*pd_output , I, w , nz, GrB_MIN_FP64  ));</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ppi_output, I, pi, nz, GrB_MIN_UINT64));</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ph_output , I, h , nz, GrB_MIN_UINT64));</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          3 :     LG_FREE_WORK;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="349"><span class="lineNum">     349 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full_mxv.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_full_mxv.c.func-sort-c.html
new file mode 100644
index 0000000000..b63cf256c6
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full_mxv.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full_mxv.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full_mxv.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_full_mxv.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#154">LAGraph_BF_full_mxv</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#131">BF_EQ_mxv</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#100">BF_lMIN_mxv</a></td>
+              <td class="coverFnHi">20297</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#119">BF_PLUSrhs_mxv</a></td>
+              <td class="coverFnHi">25194</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full_mxv.c.func.html b/experimental/algorithm/LAGraph_BF_full_mxv.c.func.html
new file mode 100644
index 0000000000..bfc9ab65bc
--- /dev/null
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full_mxv.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full_mxv.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_full_mxv.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_full_mxv.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#131">BF_EQ_mxv</a></td>
+              <td class="coverFnHi">4424</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#119">BF_PLUSrhs_mxv</a></td>
+              <td class="coverFnHi">25194</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#100">BF_lMIN_mxv</a></td>
+              <td class="coverFnHi">20297</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_full_mxv.c.gcov.html#154">LAGraph_BF_full_mxv</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_full_mxv.c.gcov.html b/experimental/algorithm/LAGraph_BF_full_mxv.c.gcov.html
new file mode 100644
index 0000000000..e49e99a918
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_full_mxv.c.gcov.html
@@ -0,0 +1,414 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_full_mxv.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_full_mxv.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_full_mxv.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_BF_full.c: Bellman-Ford single-source shortest paths, returns tree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_full_mxv: Bellman-Ford single source shortest paths, returning</a>
+<a name="19"><span class="lineNum">      19 </span>            : // both the path lengths and the shortest-path tree.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_full_mxv performs a Bellman-Ford to find out shortest path</a>
+<a name="22"><span class="lineNum">      22 </span>            : // length, parent nodes along the path and the hops (number of edges) in the</a>
+<a name="23"><span class="lineNum">      23 </span>            : // path from given source vertex s in the range of [0, n) on graph with n nodes.</a>
+<a name="24"><span class="lineNum">      24 </span>            : // It works almost the same as LAGraph_BF_full except that it performs update</a>
+<a name="25"><span class="lineNum">      25 </span>            : // using GrB_mxv instead of GrB_vxm, therefore, it require the input matrix as</a>
+<a name="26"><span class="lineNum">      26 </span>            : // the transpose of adjacency matrix A with size n by n. That is, the input</a>
+<a name="27"><span class="lineNum">      27 </span>            : // sparse matrix has entry AT(i, j) if there is edge from vertex j to vertex i</a>
+<a name="28"><span class="lineNum">      28 </span>            : // with weight w, then AT(i, j) = w. While same as LAGraph_BF_full, it requires</a>
+<a name="29"><span class="lineNum">      29 </span>            : // AT(i, i) = 0 for all 0 &lt;= i &lt; n.</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // LAGraph_BF_full_mxv returns GrB_SUCCESS if it succeeds.  In this case, there</a>
+<a name="32"><span class="lineNum">      32 </span>            : // are no negative-weight cycles in the graph, and d, pi, and h are returned.</a>
+<a name="33"><span class="lineNum">      33 </span>            : // The vector d has d(k) as the shortest distance from s to k. pi(k) = p+1,</a>
+<a name="34"><span class="lineNum">      34 </span>            : // where p is the parent node of k-th node in the shortest path. In particular,</a>
+<a name="35"><span class="lineNum">      35 </span>            : // pi(s) = 0. h(k) = hop(s, k), the number of edges from s to k in the shortest</a>
+<a name="36"><span class="lineNum">      36 </span>            : // path.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="39"><span class="lineNum">      39 </span>            : // GrB_Vectors d(k), pi(k) and h(k)  (i.e., *pd_output, *ppi_output and</a>
+<a name="40"><span class="lineNum">      40 </span>            : // *ph_output respectively) will be NULL when negative-weight cycle detected.</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : // Otherwise, other errors such as GrB_OUT_OF_MEMORY, GrB_INVALID_OBJECT, and</a>
+<a name="43"><span class="lineNum">      43 </span>            : // so on, can be returned, if these errors are found by the underlying</a>
+<a name="44"><span class="lineNum">      44 </span>            : // GrB_* functions.</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #define LG_FREE_WORK                   \</a>
+<a name="50"><span class="lineNum">      50 </span>            : {                                      \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free(&amp;d);                      \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free(&amp;dtmp);                   \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_free(&amp;Atmp);                   \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_free(&amp;BF_Tuple3);              \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3);         \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_free(&amp;BF_PLUSrhs_Tuple3);      \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_free(&amp;BF_EQ_Tuple3);           \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_free(&amp;BF_lMIN_Tuple3_Monoid);  \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_free(&amp;BF_lMIN_PLUSrhs_Tuple3); \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     LAGraph_Free ((void**)&amp;I, NULL);   \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_Free ((void**)&amp;J, NULL);   \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_Free ((void**)&amp;w, NULL);   \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_Free ((void**)&amp;W, NULL);   \</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_Free ((void**)&amp;h, NULL);   \</a>
+<a name="65"><span class="lineNum">      65 </span>            :     LAGraph_Free ((void**)&amp;pi, NULL);  \</a>
+<a name="66"><span class="lineNum">      66 </span>            : }</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            : #define LG_FREE_ALL                    \</a>
+<a name="69"><span class="lineNum">      69 </span>            : {                                      \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     LG_FREE_WORK ;                     \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (pd_output);              \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_free (ppi_output);             \</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_free (ph_output);              \</a>
+<a name="74"><span class="lineNum">      74 </span>            : }</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="77"><span class="lineNum">      77 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="78"><span class="lineNum">      78 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            : typedef void (*LAGraph_binary_function) (void *, const void *, const void *) ;</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            : //------------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : // data type for each entry of the adjacent matrix A and &quot;distance&quot; vector d;</a>
+<a name="84"><span class="lineNum">      84 </span>            : // &lt;INFINITY,INFINITY,INFINITY&gt; corresponds to nonexistence of a path, and</a>
+<a name="85"><span class="lineNum">      85 </span>            : // the value  &lt;0, 0, NULL&gt; corresponds to a path from a vertex to itself</a>
+<a name="86"><span class="lineNum">      86 </span>            : //------------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            : typedef struct</a>
+<a name="89"><span class="lineNum">      89 </span>            : {</a>
+<a name="90"><span class="lineNum">      90 </span>            :     double w;    // w  corresponds to a path weight.</a>
+<a name="91"><span class="lineNum">      91 </span>            :     GrB_Index h; // h  corresponds to a path size or number of hops.</a>
+<a name="92"><span class="lineNum">      92 </span>            :     GrB_Index pi;// pi corresponds to the penultimate vertex along a path.</a>
+<a name="93"><span class="lineNum">      93 </span>            :                  // vertex indexed as 1, 2, 3, ... , V, and pi = 0 (as nil)</a>
+<a name="94"><span class="lineNum">      94 </span>            :                  // for u=v, and pi = UINT64_MAX (as inf) for (u,v) not in E</a>
+<a name="95"><span class="lineNum">      95 </span>            : }</a>
+<a name="96"><span class="lineNum">      96 </span>            : BF_Tuple3_struct;</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            : //------------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span>            : // binary functions, z=f(x,y), where Tuple3xTuple3 -&gt; Tuple3</a>
+<a name="100"><span class="lineNum">     100 </span>            : //------------------------------------------------------------------------------</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">      20297 : void BF_lMIN_mxv</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : (</a>
+<a name="104"><span class="lineNum">     104 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     const BF_Tuple3_struct *y,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     const BF_Tuple3_struct *x</a>
+<a name="107"><span class="lineNum">     107 </span>            : )</a>
+<a name="108"><span class="lineNum">     108 </span>            : {</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">      20297 :     if (x-&gt;w &lt; y-&gt;w</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">      15239 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h &lt; y-&gt;h)</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">      15239 :         || (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi &lt; y-&gt;pi))</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     {</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">       5058 :         if (z != x) { *z = *x; }</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span>            :     else</a>
+<a name="116"><span class="lineNum">     116 </span>            :     {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">      15239 :         *z = *y;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     }</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">      20297 : }</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">      25194 : void BF_PLUSrhs_mxv</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : (</a>
+<a name="123"><span class="lineNum">     123 </span>            :     BF_Tuple3_struct *z,</a>
+<a name="124"><span class="lineNum">     124 </span>            :     const BF_Tuple3_struct *y,</a>
+<a name="125"><span class="lineNum">     125 </span>            :     const BF_Tuple3_struct *x</a>
+<a name="126"><span class="lineNum">     126 </span>            : )</a>
+<a name="127"><span class="lineNum">     127 </span>            : {</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">      25194 :     z-&gt;w = x-&gt;w + y-&gt;w;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">      25194 :     z-&gt;h = x-&gt;h + y-&gt;h;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">      25194 :     z-&gt;pi = (x-&gt;pi != UINT64_MAX &amp;&amp; y-&gt;pi != 0) ?  y-&gt;pi : x-&gt;pi ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">      25194 : }</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">       4424 : void BF_EQ_mxv</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : (</a>
+<a name="135"><span class="lineNum">     135 </span>            :     bool *z,</a>
+<a name="136"><span class="lineNum">     136 </span>            :     const BF_Tuple3_struct *y,</a>
+<a name="137"><span class="lineNum">     137 </span>            :     const BF_Tuple3_struct *x</a>
+<a name="138"><span class="lineNum">     138 </span>            : )</a>
+<a name="139"><span class="lineNum">     139 </span>            : {</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">       4424 :     (*z) = (x-&gt;w == y-&gt;w &amp;&amp; x-&gt;h == y-&gt;h &amp;&amp; x-&gt;pi == y-&gt;pi) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">       4424 : }</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            : // Given the transpose of a n-by-n adjacency matrix A and a source vertex s.</a>
+<a name="144"><span class="lineNum">     144 </span>            : // If there is no negative-weight cycle reachable from s, return the distances</a>
+<a name="145"><span class="lineNum">     145 </span>            : // of shortest paths from s and parents along the paths as vector d. Otherwise,</a>
+<a name="146"><span class="lineNum">     146 </span>            : // returns d=NULL if there is a negtive-weight cycle.</a>
+<a name="147"><span class="lineNum">     147 </span>            : // pd_output is pointer to a GrB_Vector, where the i-th entry is d(s,i), the</a>
+<a name="148"><span class="lineNum">     148 </span>            : //   sum of edges length in the shortest path</a>
+<a name="149"><span class="lineNum">     149 </span>            : // ppi_output is pointer to a GrB_Vector, where the i-th entry is pi(i), the</a>
+<a name="150"><span class="lineNum">     150 </span>            : //   parent of i-th vertex in the shortest path</a>
+<a name="151"><span class="lineNum">     151 </span>            : // ph_output is pointer to a GrB_Vector, where the i-th entry is h(s,i), the</a>
+<a name="152"><span class="lineNum">     152 </span>            : //   number of edges from s to i in the shortest path</a>
+<a name="153"><span class="lineNum">     153 </span>            : // AT has zeros on diagonal and weights on corresponding entries of edges</a>
+<a name="154"><span class="lineNum">     154 </span>            : // s is given index for source vertex</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_full_mxv</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : (</a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_Vector *pd_output,      //the pointer to the vector of distance</a>
+<a name="159"><span class="lineNum">     159 </span>            :     GrB_Vector *ppi_output,     //the pointer to the vector of parent</a>
+<a name="160"><span class="lineNum">     160 </span>            :     GrB_Vector *ph_output,      //the pointer to the vector of hops</a>
+<a name="161"><span class="lineNum">     161 </span>            :     const GrB_Matrix AT,         //matrix for the graph</a>
+<a name="162"><span class="lineNum">     162 </span>            :     const GrB_Index s           //given index of the source</a>
+<a name="163"><span class="lineNum">     163 </span>            : )</a>
+<a name="164"><span class="lineNum">     164 </span>            : {</a>
+<a name="165"><span class="lineNum">     165 </span>            :     GrB_Info info;</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     // tmp vector to store distance vector after n (i.e., V) loops</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          5 :     GrB_Vector d = NULL, dtmp = NULL;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          5 :     GrB_Matrix Atmp = NULL;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :     GrB_Type BF_Tuple3;</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :     GrB_BinaryOp BF_lMIN_Tuple3;</a>
+<a name="173"><span class="lineNum">     173 </span>            :     GrB_BinaryOp BF_PLUSrhs_Tuple3;</a>
+<a name="174"><span class="lineNum">     174 </span>            :     GrB_BinaryOp BF_EQ_Tuple3;</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     GrB_Monoid BF_lMIN_Tuple3_Monoid;</a>
+<a name="177"><span class="lineNum">     177 </span>            :     GrB_Semiring BF_lMIN_PLUSrhs_Tuple3;</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :     GrB_Index nrows, ncols, n, nz;  // n = # of row/col, nz = # of nnz in graph</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          5 :     GrB_Index *I = NULL, *J = NULL; // for col/row indices of entries from AT</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          5 :     GrB_Index *h = NULL, *pi = NULL;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          5 :     double *w = NULL;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :     BF_Tuple3_struct *W = NULL;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          5 :     LG_ASSERT (AT != NULL &amp;&amp; pd_output != NULL &amp;&amp;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :         ppi_output != NULL &amp;&amp; ph_output != NULL, GrB_NULL_POINTER) ;</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          5 :     *pd_output  = NULL;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          5 :     *ppi_output = NULL;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          5 :     *ph_output  = NULL;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, AT)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, AT)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_nvals (&amp;nz, AT));</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (nrows == ncols, -1002, &quot;A must be square&quot;) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          5 :     n = nrows;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            :     // create all GrB_Type GrB_BinaryOp GrB_Monoid and GrB_Semiring</a>
+<a name="200"><span class="lineNum">     200 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            :     // GrB_Type</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Type_new(&amp;BF_Tuple3, sizeof(BF_Tuple3_struct)));</span></a>
+<a name="203"><span class="lineNum">     203 </span>            : </a>
+<a name="204"><span class="lineNum">     204 </span>            :     // GrB_BinaryOp</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_EQ_Tuple3,</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :         (LAGraph_binary_function) (&amp;BF_EQ_mxv),</a>
+<a name="207"><span class="lineNum">     207 </span>            :         GrB_BOOL, BF_Tuple3, BF_Tuple3));</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_lMIN_Tuple3,</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         (LAGraph_binary_function) (&amp;BF_lMIN_mxv),</a>
+<a name="210"><span class="lineNum">     210 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          5 :     GRB_TRY (GrB_BinaryOp_new(&amp;BF_PLUSrhs_Tuple3,</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :         (LAGraph_binary_function)(&amp;BF_PLUSrhs_mxv),</a>
+<a name="213"><span class="lineNum">     213 </span>            :         BF_Tuple3, BF_Tuple3, BF_Tuple3));</a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            :     // GrB_Monoid</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          5 :     BF_Tuple3_struct BF_identity = (BF_Tuple3_struct) { .w = INFINITY,</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :         .h = UINT64_MAX, .pi = UINT64_MAX };</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Monoid_new_UDT(&amp;BF_lMIN_Tuple3_Monoid, BF_lMIN_Tuple3,</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         &amp;BF_identity));</a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span>            :     //GrB_Semiring</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Semiring_new(&amp;BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :         BF_lMIN_Tuple3_Monoid, BF_PLUSrhs_Tuple3));</a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="226"><span class="lineNum">     226 </span>            :     // allocate arrays used for tuplets</a>
+<a name="227"><span class="lineNum">     227 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;J, nz, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, nz, sizeof(double), msg)) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, nz, sizeof(BF_Tuple3_struct),</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :         msg)) ;</a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="236"><span class="lineNum">     236 </span>            :     // create matrix Atmp based on AT, while its entries become BF_Tuple3 type</a>
+<a name="237"><span class="lineNum">     237 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_extractTuples_FP64(I, J, w, &amp;nz, AT));</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">        951 :     for (GrB_Index k = 0; k &lt; nz; k++)</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :     {</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">        946 :         if (w[k] == 0)             //diagonal entries</span></a>
+<a name="242"><span class="lineNum">     242 </span>            :         {</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        184 :             W[k] = (BF_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :         }</a>
+<a name="245"><span class="lineNum">     245 </span>            :         else</a>
+<a name="246"><span class="lineNum">     246 </span>            :         {</a>
+<a name="247"><span class="lineNum">     247 </span>            :             // w(i, j) is the weight of edge from j to i, so the parent here</a>
+<a name="248"><span class="lineNum">     248 </span>            :             // should be j</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">        762 :             W[k] = (BF_Tuple3_struct) { .w = w[k], .h = 1, .pi = J[k] + 1 };</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :         }</a>
+<a name="251"><span class="lineNum">     251 </span>            :     }</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_new(&amp;Atmp, BF_Tuple3, n, n));</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Matrix_build_UDT(Atmp, I, J, W, nz, BF_lMIN_Tuple3));</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;I, NULL);</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;J, NULL);</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;W, NULL);</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          5 :     LAGraph_Free ((void**)&amp;w, NULL);</span></a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="260"><span class="lineNum">     260 </span>            :     // create and initialize &quot;distance&quot; vector d</a>
+<a name="261"><span class="lineNum">     261 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_new(&amp;d, BF_Tuple3, n));</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :     // initial distance from s to itself</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          5 :     BF_Tuple3_struct d0 = (BF_Tuple3_struct) { .w = 0, .h = 0, .pi = 0 };</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_setElement_UDT(d, &amp;d0, s));</span></a>
+<a name="266"><span class="lineNum">     266 </span>            : </a>
+<a name="267"><span class="lineNum">     267 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="268"><span class="lineNum">     268 </span>            :     // start the Bellman Ford process</a>
+<a name="269"><span class="lineNum">     269 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="270"><span class="lineNum">     270 </span>            :     // copy d to dtmp in order to create a same size of vector</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">          5 :     GRB_TRY (GrB_Vector_dup(&amp;dtmp, d));</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          5 :     bool same= false;          // variable indicating if d == dtmp</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          5 :     int64_t iter = 0;          // number of iterations</span></a>
+<a name="274"><span class="lineNum">     274 </span>            : </a>
+<a name="275"><span class="lineNum">     275 </span>            :     // terminate when no new path is found or more than V-1 loops</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         93 :     while (!same &amp;&amp; iter &lt; n - 1)</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :     {</a>
+<a name="278"><span class="lineNum">     278 </span>            :         // execute semiring on d and AT, and save the result to dtmp</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">         88 :         GRB_TRY (GrB_mxv(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="280"><span class="lineNum">     280 </span>            :             Atmp, d, GrB_NULL));</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">         88 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         88 :         if (!same)</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :         {</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">         85 :             GrB_Vector ttmp = dtmp;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">         85 :             dtmp = d;</span></a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         85 :             d = ttmp;</span></a>
+<a name="287"><span class="lineNum">     287 </span>            :         }</a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">         88 :         iter ++;</span></a>
+<a name="289"><span class="lineNum">     289 </span>            :     }</a>
+<a name="290"><span class="lineNum">     290 </span>            : </a>
+<a name="291"><span class="lineNum">     291 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="292"><span class="lineNum">     292 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          5 :     if (!same)</span></a>
+<a name="294"><span class="lineNum">     294 </span>            :     {</a>
+<a name="295"><span class="lineNum">     295 </span>            :         // execute semiring again to check for negative-weight cycle</a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          2 :         GRB_TRY (GrB_mxv(dtmp, GrB_NULL, GrB_NULL, BF_lMIN_PLUSrhs_Tuple3,</span></a>
+<a name="297"><span class="lineNum">     297 </span>            :             Atmp, d, GrB_NULL));</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_Vector_IsEqualOp (&amp;same, dtmp, d, BF_EQ_Tuple3, NULL));</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span>            :         // if d != dtmp, then there is a negative-weight cycle in the graph</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">          2 :         if (!same)</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :         {</a>
+<a name="303"><span class="lineNum">     303 </span>            :             // printf(&quot;A negative-weight cycle found. \n&quot;);</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          2 :             LG_FREE_ALL;</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          2 :             return (GrB_NO_VALUE) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span>            :         }</a>
+<a name="307"><span class="lineNum">     307 </span>            :     }</a>
+<a name="308"><span class="lineNum">     308 </span>            : </a>
+<a name="309"><span class="lineNum">     309 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="310"><span class="lineNum">     310 </span>            :     // extract tuple from &quot;distance&quot; vector d and create GrB_Vectors for output</a>
+<a name="311"><span class="lineNum">     311 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;W, n, sizeof(BF_Tuple3_struct),</span></a>
+<a name="315"><span class="lineNum">     315 </span>            :         msg)) ;</a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;w, n, sizeof(double), msg)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;h, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;pi, n, sizeof(GrB_Index), msg)) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span>            : </a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          3 :     nz = n ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_extractTuples_UDT (I, (void *) W, &amp;nz, d));</span></a>
+<a name="322"><span class="lineNum">     322 </span>            : </a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">        111 :     for (GrB_Index k = 0; k &lt; n; k++)</span></a>
+<a name="324"><span class="lineNum">     324 </span>            :     {</a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">        108 :         w [k] = W[k].w ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">        108 :         h [k] = W[k].h ;</span></a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">        108 :         pi[k] = W[k].pi;</span></a>
+<a name="328"><span class="lineNum">     328 </span>            :     }</a>
+<a name="329"><span class="lineNum">     329 </span>            : </a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(pd_output,  GrB_FP64,   n));</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ppi_output, GrB_UINT64, n));</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new(ph_output,  GrB_UINT64, n));</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*pd_output , I, w , nz, GrB_MIN_FP64  ));</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ppi_output, I, pi, nz, GrB_MIN_UINT64));</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_build (*ph_output , I, h , nz, GrB_MIN_UINT64));</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          3 :     LG_FREE_WORK;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="338"><span class="lineNum">     338 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_pure_c.c.func-sort-c.html
new file mode 100644
index 0000000000..d6b3292872
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_pure_c.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_pure_c.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_pure_c.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_pure_c.c.gcov.html#52">LAGraph_BF_pure_c</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c.c.func.html b/experimental/algorithm/LAGraph_BF_pure_c.c.func.html
new file mode 100644
index 0000000000..bad818a0f7
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_pure_c.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_pure_c.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_pure_c.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_pure_c.c.gcov.html#52">LAGraph_BF_pure_c</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
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+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c.c.gcov.html b/experimental/algorithm/LAGraph_BF_pure_c.c.gcov.html
new file mode 100644
index 0000000000..cfd8776773
--- /dev/null
+++ b/experimental/algorithm/LAGraph_BF_pure_c.c.gcov.html
@@ -0,0 +1,212 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_pure_c.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // BF_pure_c.c: Bellman-Ford method, not using GraphBLAS</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_pure_c: Bellman-Ford single source shortest paths, returning</a>
+<a name="19"><span class="lineNum">      19 </span>            : // both the path lengths and the shortest-path tree.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_pure_c performs the Bellman-Ford algorithm to find out shortest</a>
+<a name="22"><span class="lineNum">      22 </span>            : // path length, parent nodes along the path from given source vertex s in the</a>
+<a name="23"><span class="lineNum">      23 </span>            : // range of [0, n) on graph with n nodes. It is implemented purely using</a>
+<a name="24"><span class="lineNum">      24 </span>            : // conventional method, and is single-threaded. It is used here for checking</a>
+<a name="25"><span class="lineNum">      25 </span>            : // the correctness of the result and comparison with the Bellman Ford</a>
+<a name="26"><span class="lineNum">      26 </span>            : // implemented based on LAGraph.  Therefore, it require the graph represented</a>
+<a name="27"><span class="lineNum">      27 </span>            : // as triplet format (I, J, W), which is an edge from vertex I(k) to vertex</a>
+<a name="28"><span class="lineNum">      28 </span>            : // J(k) with weight W(k), and also the number of vertices and number of edges.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // LAGraph_BF_pure_c returns GrB_SUCCESS, or GrB_NO_VALUE if it detects of</a>
+<a name="31"><span class="lineNum">      31 </span>            : // negative- weight cycle. The vector d(k) and pi(k) (i.e., *pd, and *ppi</a>
+<a name="32"><span class="lineNum">      32 </span>            : // respectively) will be NULL when negative-weight cycle detected. Otherwise,</a>
+<a name="33"><span class="lineNum">      33 </span>            : // the vector d has d(k) as the shortest distance from s to k. pi(k) = p, where</a>
+<a name="34"><span class="lineNum">      34 </span>            : // p is the parent node of k-th node in the shortest path. In particular, pi(s)</a>
+<a name="35"><span class="lineNum">      35 </span>            : // = -1.</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : #define LG_FREE_ALL                     \</a>
+<a name="40"><span class="lineNum">      40 </span>            : {                                       \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     LAGraph_Free ((void**) &amp;d, NULL) ;  \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     LAGraph_Free ((void**) &amp;pi, NULL) ; \</a>
+<a name="43"><span class="lineNum">      43 </span>            : }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="46"><span class="lineNum">      46 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : // Given the edges and corresponding weights of a graph in tuple</a>
+<a name="49"><span class="lineNum">      49 </span>            : // form {I, J, W} and a source vertex s. If there is no negative-weight</a>
+<a name="50"><span class="lineNum">      50 </span>            : // cycle reachable from s, returns GrB_SUCCESS and the shortest distance</a>
+<a name="51"><span class="lineNum">      51 </span>            : // d and the shortest path tree pi. Otherwise return NULL pointer for d</a>
+<a name="52"><span class="lineNum">      52 </span>            : // and pi.</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          3 : GrB_Info LAGraph_BF_pure_c</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : (</a>
+<a name="56"><span class="lineNum">      56 </span>            :     int32_t **pd,     // pointer to distance vector d, d(k) = shorstest distance</a>
+<a name="57"><span class="lineNum">      57 </span>            :                      // between s and k if k is reachable from s</a>
+<a name="58"><span class="lineNum">      58 </span>            :     int64_t **ppi,   // pointer to parent index vector pi, pi(k) = parent of</a>
+<a name="59"><span class="lineNum">      59 </span>            :                      // node k in the shortest path tree</a>
+<a name="60"><span class="lineNum">      60 </span>            :     const int64_t s, // given source node index</a>
+<a name="61"><span class="lineNum">      61 </span>            :     const int64_t n, // number of nodes</a>
+<a name="62"><span class="lineNum">      62 </span>            :     const int64_t nz,// number of edges</a>
+<a name="63"><span class="lineNum">      63 </span>            :     const int64_t *I,// row index vector</a>
+<a name="64"><span class="lineNum">      64 </span>            :     const int64_t *J,// column index vector</a>
+<a name="65"><span class="lineNum">      65 </span>            :     const int32_t  *W // weight vector, W(i) = weight of edge (I(i),J(i))</a>
+<a name="66"><span class="lineNum">      66 </span>            : )</a>
+<a name="67"><span class="lineNum">      67 </span>            : {</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          3 :     char *msg = NULL ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :     int64_t i, j, k;</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          3 :     int32_t *d = NULL;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          3 :     int64_t *pi = NULL;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          3 :     LG_ASSERT (I != NULL &amp;&amp; J != NULL &amp;&amp; W != NULL &amp;&amp; pd != NULL &amp;&amp;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :         ppi != NULL, GrB_NULL_POINTER) ;</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          3 :     LAGraph_Free ((void **) pd, NULL) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          3 :     LAGraph_Free ((void **) ppi, NULL) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          3 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     // allocate d and pi</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;d,  n, sizeof(int32_t), msg));</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          3 :     LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;pi, n, sizeof(int64_t), msg));</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     // initialize d to a vector of INF while set d(s) = 0</a>
+<a name="85"><span class="lineNum">      85 </span>            :     // and pi to a vector of -1</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         51 :     for (i = 0; i &lt; n; i++)</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :     {</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         48 :         d[i] = INT32_MAX;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         48 :         pi[i] = -1;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     }</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          3 :     d[s] = 0;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :     // start the RELAX process and print results after each loop</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          3 :     bool new_path = true;     //variable indicating if new path is found</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          3 :     int64_t count = 0;        //number of loops</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     // terminate when no new path is found or more than n-1 loops</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         14 :     while(new_path &amp;&amp; count &lt; n-1)</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     {</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         11 :         new_path = false;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        431 :         for (k = 0; k &lt; nz; k++)</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        420 :             i = I[k];</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        420 :             j = J[k];</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        420 :             if (d[i] != INT32_MAX &amp;&amp; (d[j] == INT32_MAX || d[j] &gt; d[i] + W[k]))</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :             {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         83 :                 d[j] = d[i] + W[k];</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         83 :                 pi[j] = i;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         83 :                 new_path = true;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :             }</a>
+<a name="110"><span class="lineNum">     110 </span>            :         }</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         11 :         count++;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="115"><span class="lineNum">     115 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          3 :     if (new_path)</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     {</a>
+<a name="118"><span class="lineNum">     118 </span>            :         // Do another loop of RELAX to check for negative loop,</a>
+<a name="119"><span class="lineNum">     119 </span>            :         // return true if there is negative-weight cycle;</a>
+<a name="120"><span class="lineNum">     120 </span>            :         // otherwise, print the distance vector and return false.</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :         for (k = 0; k &lt; nz; k++)</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         {</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :             i = I[k];</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :             j = J[k];</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :             if (d[i] != INT32_MAX &amp;&amp; (d[j] == INT32_MAX || d[j] &gt; d[i] + W[k]))</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :             {</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :                 LG_FREE_ALL ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :                 return (GrB_NO_VALUE) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :             }</a>
+<a name="130"><span class="lineNum">     130 </span>            :         }</a>
+<a name="131"><span class="lineNum">     131 </span>            :     }</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          2 :     *pd = d;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          2 :     *ppi = pi;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          2 :     return (GrB_SUCCESS) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c_double.c.func-sort-c.html b/experimental/algorithm/LAGraph_BF_pure_c_double.c.func-sort-c.html
new file mode 100644
index 0000000000..26dce89bf8
--- /dev/null
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+
+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c_double.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+<body>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c_double.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_pure_c_double.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_BF_pure_c_double.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_pure_c_double.c.gcov.html#55">LAGraph_BF_pure_c_double</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c_double.c.func.html b/experimental/algorithm/LAGraph_BF_pure_c_double.c.func.html
new file mode 100644
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c_double.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+<body>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c_double.c<span style="font-size: 80%;"> (<a href="LAGraph_BF_pure_c_double.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
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+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_BF_pure_c_double.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_BF_pure_c_double.c.gcov.html#55">LAGraph_BF_pure_c_double</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_BF_pure_c_double.c.gcov.html b/experimental/algorithm/LAGraph_BF_pure_c_double.c.gcov.html
new file mode 100644
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@@ -0,0 +1,214 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_BF_pure_c_double.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_BF_pure_c_double.c<span style="font-size: 80%;"> (source / <a href="LAGraph_BF_pure_c_double.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntry">36</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // BF_pure_c_double.c: Bellman-Ford method, not using GraphBLAS</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_BF_pure_c_double: Bellman-Ford single source shortest paths,</a>
+<a name="19"><span class="lineNum">      19 </span>            : // returning both the path lengths and the shortest-path tree.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // LAGraph_BF_pure_c_double performs a Bellman-Ford to find out shortest path</a>
+<a name="22"><span class="lineNum">      22 </span>            : // length, parent nodes along the path from given source vertex s in the range</a>
+<a name="23"><span class="lineNum">      23 </span>            : // of [0, n) on graph with n nodes. It is implemented purely using conventional</a>
+<a name="24"><span class="lineNum">      24 </span>            : // method. It is used here for checking the correctness of the result and</a>
+<a name="25"><span class="lineNum">      25 </span>            : // comparison with the Bellman Ford implemented based on LAGraph. Therefore, it</a>
+<a name="26"><span class="lineNum">      26 </span>            : // require the graph represented as triplet format (I, J, W), which is an edge</a>
+<a name="27"><span class="lineNum">      27 </span>            : // from vertex I(k) to vertex J(k) with weight W(k), and also the number of</a>
+<a name="28"><span class="lineNum">      28 </span>            : // vertices and number of edges.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // LAGraph_BF_pure_c_double returns GrB_SUCCESS if it succeeds. In this case,</a>
+<a name="31"><span class="lineNum">      31 </span>            : // there are no negative-weight cycle in the graph, and d and pi are returned.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // The vector d has d(k) as the distance from source noce to k-th node. pi(k) =</a>
+<a name="33"><span class="lineNum">      33 </span>            : // p, where p is the parent node of k-th node in the shortest path. In</a>
+<a name="34"><span class="lineNum">      34 </span>            : // particular, pi(s) = -1.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // If the graph has a negative-weight cycle, GrB_NO_VALUE is returned, and the</a>
+<a name="37"><span class="lineNum">      37 </span>            : // vectors d and pi (i.e., pd and ppi) will be NULL.</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="42"><span class="lineNum">      42 </span>            : {                                           \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     LAGraph_Free ((void**) &amp;d, NULL) ;      \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LAGraph_Free ((void**) &amp;pi, NULL) ;     \</a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : #include &lt;float.h&gt;</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : // Given the edges and corresponding weights of a graph in tuple</a>
+<a name="53"><span class="lineNum">      53 </span>            : // form {I, J, W} and a source vertex s. If there is no negative-weight</a>
+<a name="54"><span class="lineNum">      54 </span>            : // cycle reachable from s, returns GrB_SUCCESS and the shortest distance</a>
+<a name="55"><span class="lineNum">      55 </span>            : // d and the shortest path tree pi. Otherwise return NULL pointer for d</a>
+<a name="56"><span class="lineNum">      56 </span>            : // and pi.</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          5 : GrB_Info LAGraph_BF_pure_c_double</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : (</a>
+<a name="59"><span class="lineNum">      59 </span>            :     double **pd,     // pointer to distance vector d, d(k) = shorstest distance</a>
+<a name="60"><span class="lineNum">      60 </span>            :                      // between s and k if k is reachable from s</a>
+<a name="61"><span class="lineNum">      61 </span>            :     int64_t **ppi,   // pointer to parent index vector pi, pi(k) = parent of</a>
+<a name="62"><span class="lineNum">      62 </span>            :                      // node k in the shortest path tree</a>
+<a name="63"><span class="lineNum">      63 </span>            :     const int64_t s, // given source node index</a>
+<a name="64"><span class="lineNum">      64 </span>            :     const int64_t n, // number of nodes</a>
+<a name="65"><span class="lineNum">      65 </span>            :     const int64_t nz,// number of edges</a>
+<a name="66"><span class="lineNum">      66 </span>            :     const int64_t *I,// row index vector</a>
+<a name="67"><span class="lineNum">      67 </span>            :     const int64_t *J,// column index vector</a>
+<a name="68"><span class="lineNum">      68 </span>            :     const double  *W // weight vector, W(i) = weight of edge (I(i),J(i))</a>
+<a name="69"><span class="lineNum">      69 </span>            : )</a>
+<a name="70"><span class="lineNum">      70 </span>            : {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          5 :     char *msg = NULL ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     int64_t i, j, k;</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          5 :     double *d = NULL;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          5 :     int64_t *pi = NULL;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          5 :     LG_ASSERT (I != NULL &amp;&amp; J != NULL &amp;&amp; W != NULL &amp;&amp; pd != NULL &amp;&amp;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :         ppi != NULL, GrB_NULL_POINTER) ;</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          5 :     LAGraph_Free ((void **) pd, NULL) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :     LAGraph_Free ((void **) ppi, NULL) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (s &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     // allocate d and pi</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;d,  n, sizeof(double), msg));</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :     LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;pi, n, sizeof(int64_t), msg));</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     // initialize d to a vector of INF while set d(s) = 0</a>
+<a name="88"><span class="lineNum">      88 </span>            :     // and pi to a vector of -1</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        187 :     for (i = 0; i &lt; n; i++)</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     {</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        182 :         d[i] = INFINITY;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        182 :         pi[i] = -1;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     }</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          5 :     d[s] = 0;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     // start the RELAX process and print results after each loop</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          5 :     bool new_path = true;     //variable indicating if new path is found</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          5 :     int64_t count = 0;        //number of loops</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     // terminate when no new path is found or more than n-1 loops</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         85 :     while(new_path &amp;&amp; count &lt; n-1)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         80 :         new_path = false;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">      20786 :         for (k = 0; k &lt; nz; k++)</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :         {</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">      20706 :             i = I[k];</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">      20706 :             j = J[k];</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">      20706 :             if (d[j] &gt; d[i] + W[k])</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :             {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">      11110 :                 d[j] = d[i] + W[k];</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">      11110 :                 pi[j] = i;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">      11110 :                 new_path = true;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :             }</a>
+<a name="112"><span class="lineNum">     112 </span>            :         }</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         80 :         count++;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :     // check for negative-weight cycle only when there was a new path in the</a>
+<a name="117"><span class="lineNum">     117 </span>            :     // last loop, otherwise, there can't be a negative-weight cycle.</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          5 :     if (new_path)</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :     {</a>
+<a name="120"><span class="lineNum">     120 </span>            :         // Do another loop of RELAX to check for negative loop,</a>
+<a name="121"><span class="lineNum">     121 </span>            :         // return true if there is negative-weight cycle;</a>
+<a name="122"><span class="lineNum">     122 </span>            :         // otherwise, print the distance vector and return false.</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          4 :         for (k = 0; k &lt; nz; k++)</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :         {</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          4 :             i = I[k];</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          4 :             j = J[k];</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          4 :             if (d[j] &gt; d[i] + W[k] + DBL_EPSILON*d[j])</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :             {</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          2 :                 LG_FREE_ALL ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          2 :                 return (GrB_NO_VALUE) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :             }</a>
+<a name="132"><span class="lineNum">     132 </span>            :         }</a>
+<a name="133"><span class="lineNum">     133 </span>            :     }</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          3 :     *pd = d;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          3 :     *ppi = pi;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_FastGraphletTransform.c.func-sort-c.html b/experimental/algorithm/LAGraph_FastGraphletTransform.c.func-sort-c.html
new file mode 100644
index 0000000000..f6500f6015
--- /dev/null
+++ b/experimental/algorithm/LAGraph_FastGraphletTransform.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_FastGraphletTransform.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_FastGraphletTransform.c<span style="font-size: 80%;"> (<a href="LAGraph_FastGraphletTransform.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_FastGraphletTransform.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_FastGraphletTransform.c.gcov.html#90">LAGraph_FastGraphletTransform</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_FastGraphletTransform.c.gcov.html#88">sub_one_mult</a></td>
+              <td class="coverFnHi">993</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_FastGraphletTransform.c.func.html b/experimental/algorithm/LAGraph_FastGraphletTransform.c.func.html
new file mode 100644
index 0000000000..51faea43ad
--- /dev/null
+++ b/experimental/algorithm/LAGraph_FastGraphletTransform.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_FastGraphletTransform.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_FastGraphletTransform.c<span style="font-size: 80%;"> (<a href="LAGraph_FastGraphletTransform.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_FastGraphletTransform.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_FastGraphletTransform.c.gcov.html#90">LAGraph_FastGraphletTransform</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_FastGraphletTransform.c.gcov.html#88">sub_one_mult</a></td>
+              <td class="coverFnHi">993</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_FastGraphletTransform.c.gcov.html b/experimental/algorithm/LAGraph_FastGraphletTransform.c.gcov.html
new file mode 100644
index 0000000000..6827564002
--- /dev/null
+++ b/experimental/algorithm/LAGraph_FastGraphletTransform.c.gcov.html
@@ -0,0 +1,677 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_FastGraphletTransform.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_FastGraphletTransform.c<span style="font-size: 80%;"> (source / <a href="LAGraph_FastGraphletTransform.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntry">242</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_FastGraphletTransform: fast graphlet transform</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Tanner Hoke, Texas A&amp;M University, ...</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_FastGraphletTransform: computes the Fast Graphlet Transform of</a>
+<a name="19"><span class="lineNum">      19 </span>            : // an undirected graph.  No self edges are allowed on the input graph.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // fixme: rename this</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // https://arxiv.org/pdf/2007.11111.pdf</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : //------------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : #define F_UNARY(f)  ((void (*)(void *, const void *)) f)</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LG_FREE_WORK                \</a>
+<a name="29"><span class="lineNum">      29 </span>            : {                                   \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_free (&amp;C_3) ;               \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (&amp;d_0) ;               \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_free (&amp;d_1) ;               \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     GrB_free (&amp;d_2) ;               \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     GrB_free (&amp;d_3) ;               \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;d_4) ;               \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;d_5) ;               \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;d_6) ;               \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;d_7) ;               \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;d_8) ;               \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free (&amp;d_9) ;               \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_free (&amp;d_10) ;              \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_free (&amp;d_11) ;              \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_free (&amp;d_12) ;              \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_free (&amp;d_13) ;              \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free (&amp;d_14) ;              \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free (&amp;d_15) ;              \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     GrB_free (&amp;d_2) ;               \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     GrB_free (&amp;v) ;                 \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free (&amp;p_1_minus_one) ;     \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_free (&amp;p_1_minus_two) ;     \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free (&amp;two_c_3) ;           \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free (&amp;p_1_p_1_had) ;       \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_free (&amp;C_42) ;              \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_free (&amp;P_2) ;               \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_free (&amp;D_1) ;               \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_free (&amp;D_4c) ;              \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_free (&amp;D_43) ;              \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_free (&amp;U_inv) ;             \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_free (&amp;F_raw) ;             \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_free (&amp;C_4) ;               \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     GrB_free (&amp;Sub_one_mult) ;      \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     GrB_free (&amp;T) ;                 \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     if (A_Tiles != NULL)                                                \</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {                                                                   \</a>
+<a name="65"><span class="lineNum">      65 </span>            :         for (int i = 0; i &lt; tile_cnt; ++i) GrB_free (&amp;A_Tiles [i]) ;    \</a>
+<a name="66"><span class="lineNum">      66 </span>            :     }                                                                   \</a>
+<a name="67"><span class="lineNum">      67 </span>            :     if (D_Tiles != NULL)                                                \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {                                                                   \</a>
+<a name="69"><span class="lineNum">      69 </span>            :         for (int i = 0; i &lt; tile_cnt; ++i) GrB_free (&amp;D_Tiles [i]) ;    \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     }                                                                   \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     if (C_Tiles != NULL)                                                \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     {                                                                   \</a>
+<a name="73"><span class="lineNum">      73 </span>            :         for (int i = 0; i &lt; tile_cnt; ++i) GrB_free (&amp;C_Tiles [i]) ;    \</a>
+<a name="74"><span class="lineNum">      74 </span>            :     }                                                                   \</a>
+<a name="75"><span class="lineNum">      75 </span>            : }</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="78"><span class="lineNum">      78 </span>            : {                                   \</a>
+<a name="79"><span class="lineNum">      79 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="80"><span class="lineNum">      80 </span>            : }</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            : #define F_UNARY(f)  ((void (*)(void *, const void *)) f)</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="85"><span class="lineNum">      85 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="86"><span class="lineNum">      86 </span>            : #ifdef _OPENMP</a>
+<a name="87"><span class="lineNum">      87 </span>            : #include &lt;omp.h&gt;</a>
+<a name="88"><span class="lineNum">      88 </span>            : #endif</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        993 : void sub_one_mult (int64_t *z, const int64_t *x) { (*z) = (*x) * ((*x)-1) ; }</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          2 : int LAGraph_FastGraphletTransform</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : (</a>
+<a name="94"><span class="lineNum">      94 </span>            :     // outputs:</a>
+<a name="95"><span class="lineNum">      95 </span>            :     GrB_Matrix *F_net,  // 16-by-n matrix of graphlet counts</a>
+<a name="96"><span class="lineNum">      96 </span>            :     // inputs:</a>
+<a name="97"><span class="lineNum">      97 </span>            :     LAGraph_Graph G,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     bool compute_d_15,  // probably this makes most sense</a>
+<a name="99"><span class="lineNum">      99 </span>            :     char *msg</a>
+<a name="100"><span class="lineNum">     100 </span>            : )</a>
+<a name="101"><span class="lineNum">     101 </span>            : {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          2 :     LG_CLEAR_MSG ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          2 :     GrB_Index const U_inv_I[] = {0, 1, 2, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15} ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          2 :     GrB_Index const U_inv_J[] = {0, 1, 2, 4, 3, 4, 4, 5, 9, 10, 12, 13, 14, 15, 6, 10, 11, 12, 13, 14, 15, 7, 9, 10, 13, 14, 15, 8, 11, 14, 15, 9, 13, 15, 10, 13, 14, 15, 11, 14, 15, 12, 13, 14, 15, 13, 15, 14, 15, 15} ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          2 :     int64_t const U_inv_X[] = {1, 1, 1, -2, 1, -1, 1, 1, -2, -1, -2, 4, 2, -6, 1, -1, -2, -2, 2, 4, -6, 1, -1, -1, 2, 1, -3, 1, -1, 1, -1, 1, -2, 3, 1, -2, -2, 6, 1, -2, 3, 1, -1, -1, 3, 1, -3, 1, -3, 1} ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          2 :     GrB_Index const U_inv_nvals = 50;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          2 :     GrB_UnaryOp Sub_one_mult = NULL ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          2 :     int tile_cnt = 0 ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          2 :     GrB_Matrix *A_Tiles = NULL ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          2 :     GrB_Matrix *D_Tiles = NULL ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          2 :     GrB_Matrix *C_Tiles = NULL ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          2 :     GrB_Index *Tile_nrows = NULL ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          2 :     GrB_Matrix T = NULL ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :     GrB_Matrix C_3 = NULL,</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          2 :                A = NULL,</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          2 :                C_42 = NULL,</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          2 :                P_2 = NULL,</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          2 :                D_1 = NULL,</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :                D_4c = NULL,</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          2 :                D_43 = NULL,</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          2 :                U_inv = NULL,</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          2 :                F_raw = NULL,</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          2 :                C_4 = NULL ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          2 :     GrB_Vector d_0 = NULL,</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          2 :                d_1 = NULL,</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          2 :                d_2 = NULL,</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          2 :                d_3 = NULL,</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          2 :                d_4 = NULL,</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          2 :                d_5 = NULL,</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          2 :                d_6 = NULL,</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          2 :                d_7 = NULL,</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          2 :                d_8 = NULL,</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          2 :                d_9 = NULL,</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          2 :                d_10 = NULL,</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          2 :                d_11 = NULL,</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          2 :                d_12 = NULL,</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          2 :                d_13 = NULL,</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          2 :                d_14 = NULL,</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          2 :                d_15 = NULL;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          2 :     GrB_Vector v = NULL,</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          2 :                two_c_3 = NULL,</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          2 :                p_1_minus_one = NULL,</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          2 :                p_1_minus_two = NULL,</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          2 :                p_1_p_1_had = NULL ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :     GrB_Index nvals ;</a>
+<a name="150"><span class="lineNum">     150 </span>            :     int64_t ntri ;</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="153"><span class="lineNum">     153 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="154"><span class="lineNum">     154 </span>            : #else</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          2 :     A = G-&gt;A ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_Index n ;</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="162"><span class="lineNum">     162 </span>            :     // compute d_0 = e</a>
+<a name="163"><span class="lineNum">     163 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            :     // d_0 = e</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_0, GrB_INT64, n)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          2 :     GRB_TRY (GrB_assign (d_0, NULL, NULL, 1, GrB_ALL, n, NULL)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="170"><span class="lineNum">     170 </span>            :     // compute d_1 = Ae (in_degree)</a>
+<a name="171"><span class="lineNum">     171 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            : //  GRB_TRY (GrB_Vector_new (&amp;d_1, GrB_INT64, n)) ;</a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            :     // d_1 = Ae (in_degree)</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_dup (&amp;d_1, G-&gt;out_degree)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="181"><span class="lineNum">     181 </span>            :     // compute d_2 = p_2</a>
+<a name="182"><span class="lineNum">     182 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_2, GrB_INT64, n)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span>            :     // d_2 = p_2 = A*p_1 - c_2 = A*d_1 - d_1</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxv (d_2, NULL, NULL, GxB_PLUS_SECOND_INT64, A, d_1, NULL)) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (d_2, NULL, NULL, GrB_MINUS_INT64, d_2, d_1, NULL)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            :     // compute d_3 = hadamard(p_1, p_1 - 1) / 2</a>
+<a name="192"><span class="lineNum">     192 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_3, GrB_INT64, n)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          2 :     GRB_TRY (GrB_UnaryOp_new (&amp;Sub_one_mult, F_UNARY (sub_one_mult), GrB_INT64, GrB_INT64)) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_3, NULL, NULL, Sub_one_mult, d_1, NULL)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_3, NULL, NULL, GrB_DIV_INT64, d_3, (int64_t) 2, NULL)) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            :     // compute d_4 = C_3e/2</a>
+<a name="203"><span class="lineNum">     203 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;C_3, GrB_INT64, n, n)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_4, GrB_INT64, n)) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span>            :     // C_3 = hadamard(A, A^2)</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxm (C_3, A, NULL, GxB_PLUS_FIRST_INT64, A, A, GrB_DESC_ST1)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span>            :     // d_4 = c_3 = C_3e/2</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce (d_4, NULL, NULL, GrB_PLUS_MONOID_INT64, C_3, NULL)) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_4, NULL, NULL, GrB_DIV_INT64, d_4, (int64_t) 2, NULL)) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="216"><span class="lineNum">     216 </span>            :     // compute d_5 = p_3 = A*d_2 - hadamard(p_1, p_1 - 1) - 2c_3</a>
+<a name="217"><span class="lineNum">     217 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;v, GrB_INT64, n)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;two_c_3, GrB_INT64, n)) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_5, GrB_INT64, n)) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :     // v = hadamard(p_1, p_1 - 1)</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (v, NULL, NULL, Sub_one_mult, d_1, NULL)) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span>            :     // two_c_3 = 2 * c_3 = 2 * d_4</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (two_c_3, NULL, NULL, GrB_TIMES_INT64, 2, d_4, NULL)) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            :     // d_5 = A * d_2</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxv (d_5, NULL, NULL, GxB_PLUS_SECOND_INT64, A, d_2, NULL)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            :     // d_5 -= hadamard(p_1, p_1 - 1)</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseAdd (d_5, NULL, NULL, GrB_MINUS_INT64, d_5, v, NULL)) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span>            :     // d_5 -= two_c_3</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseAdd (d_5, NULL, NULL, GrB_MINUS_INT64, d_5, two_c_3, NULL)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="239"><span class="lineNum">     239 </span>            :     // compute d_6 = hadamard(d_2, p_1-1) - 2c_3</a>
+<a name="240"><span class="lineNum">     240 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;p_1_minus_one, GrB_INT64, n)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_6, GrB_INT64, n)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span>            :     // p_1_minus_one = p_1 - 1</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (p_1_minus_one, NULL, NULL, GrB_MINUS_INT64, d_1, (int64_t) 1, NULL)) ;</span></a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span>            :     // d_6 = hadamard(d_2, p_1-1)</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (d_6, NULL, NULL, GrB_TIMES_INT64, d_2, p_1_minus_one, NULL)) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span>            :     // d_6 -= 2c_3</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseAdd (d_6, NULL, NULL, GrB_MINUS_INT64, d_6, two_c_3, NULL)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="255"><span class="lineNum">     255 </span>            :     // compute d_7 = A*hadamard(p_1-1, p_1-2) / 2</a>
+<a name="256"><span class="lineNum">     256 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;p_1_minus_two, GrB_INT64, n)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;p_1_p_1_had, GrB_INT64, n)) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_7, GrB_INT64, n)) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span>            : </a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (p_1_minus_two, NULL, NULL, GrB_MINUS_INT64, d_1, (int64_t) 2, NULL)) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (p_1_p_1_had, NULL, NULL, GrB_TIMES_INT64, p_1_minus_one, p_1_minus_two, NULL)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxv (d_7, NULL, NULL, GxB_PLUS_SECOND_INT64, A, p_1_p_1_had, NULL)) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_7, NULL, NULL, GrB_DIV_INT64, d_7, (int64_t) 2, NULL)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="269"><span class="lineNum">     269 </span>            :     // compute d_8 = hadamard(p_1, p_1_p_1_had) / 6</a>
+<a name="270"><span class="lineNum">     270 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_8, GrB_INT64, n)) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (d_8, NULL, NULL, GrB_TIMES_INT64, d_1, p_1_p_1_had, NULL)) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_8, NULL, NULL, GrB_DIV_INT64, d_8, (int64_t) 6, NULL)) ;</span></a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="278"><span class="lineNum">     278 </span>            :     // compute d_9 = A*c_3 - 2*c_3</a>
+<a name="279"><span class="lineNum">     279 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_9, GrB_INT64, n)) ;</span></a>
+<a name="282"><span class="lineNum">     282 </span>            : </a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxv (d_9, NULL, NULL, GxB_PLUS_SECOND_INT64, A, d_4, NULL)) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseAdd (d_9, NULL, NULL, GrB_MINUS_INT64, d_9, two_c_3, NULL)) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="287"><span class="lineNum">     287 </span>            :     // compute d_10 = C_3 * (p_1 - 2)</a>
+<a name="288"><span class="lineNum">     288 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_10, GrB_INT64, n)) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxv (d_10, NULL, NULL, GxB_PLUS_TIMES_INT64, C_3, p_1_minus_two, NULL)) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="295"><span class="lineNum">     295 </span>            :     // compute d_11 = hadamard(p_1 - 2, c_3)</a>
+<a name="296"><span class="lineNum">     296 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="297"><span class="lineNum">     297 </span>            : </a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_11, GrB_INT64, n)) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (d_11, NULL, NULL, GrB_TIMES_INT64, p_1_minus_two, d_4, NULL)) ;</span></a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="303"><span class="lineNum">     303 </span>            :     // compute d_12 = c_4 = C_{4,2}e/2</a>
+<a name="304"><span class="lineNum">     304 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;C_4, GrB_INT64, n, 1)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;D_1, GrB_INT64, n, n)) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span>            : </a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_12, GrB_INT64, n)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span>            : </a>
+<a name="311"><span class="lineNum">     311 </span>            :     // D_1 = diag(d_1)</a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          2 :     GRB_TRY (GxB_Matrix_diag (D_1, d_1, (int64_t) 0, NULL)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A));</span></a>
+<a name="315"><span class="lineNum">     315 </span>            : </a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          2 :     const GrB_Index entries_per_tile = 1000;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          2 :     GrB_Index ntiles = (nvals + entries_per_tile - 1) / entries_per_tile ;</span></a>
+<a name="318"><span class="lineNum">     318 </span>            :     // FIXME: use LAGraph_Calloc here, and check if out of memory:</a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">          2 :     A_Tiles = calloc (ntiles , sizeof (GrB_Matrix)) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          2 :     D_Tiles = calloc (ntiles , sizeof (GrB_Matrix)) ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          2 :     C_Tiles = calloc (ntiles , sizeof (GrB_Matrix)) ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          2 :     Tile_nrows = calloc (ntiles , sizeof (GrB_Index)) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          2 :     GrB_Index Tile_ncols [1] = {n} ;</span></a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          2 :     int64_t tot_deg = 0 ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">          2 :     GrB_Index last_row = -1 ;</span></a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">         43 :     for (GrB_Index i = 0; i &lt; n; ++i) {</span></a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">         41 :         int64_t deg = 0 ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">         41 :         GRB_TRY (GrB_Vector_extractElement (&amp;deg, d_1, i)) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span>            : </a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">         41 :         if (i == n - 1 || (tot_deg / entries_per_tile != (tot_deg + deg) / entries_per_tile)) {</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          2 :             Tile_nrows [tile_cnt++] = i - last_row ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          2 :             last_row = i ;</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :         }</a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">         41 :         tot_deg += deg ;</span></a>
+<a name="337"><span class="lineNum">     337 </span>            :     }</a>
+<a name="338"><span class="lineNum">     338 </span>            : </a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          2 :     GRB_TRY (GxB_Matrix_split (A_Tiles, tile_cnt, 1, Tile_nrows, Tile_ncols, A, NULL)) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          2 :     GRB_TRY (GxB_Matrix_split (D_Tiles, tile_cnt, 1, Tile_nrows, Tile_ncols, D_1, NULL)) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            : #define TRY(method)                         \</a>
+<a name="343"><span class="lineNum">     343 </span>            :     {                                       \</a>
+<a name="344"><span class="lineNum">     344 </span>            :         GrB_Info info2 = method ;           \</a>
+<a name="345"><span class="lineNum">     345 </span>            :         if (info2 != GrB_SUCCESS)           \</a>
+<a name="346"><span class="lineNum">     346 </span>            :         {                                   \</a>
+<a name="347"><span class="lineNum">     347 </span>            :             GrB_free (&amp;A_i) ;               \</a>
+<a name="348"><span class="lineNum">     348 </span>            :             GrB_free (&amp;C_Tiles [i_tile]) ;  \</a>
+<a name="349"><span class="lineNum">     349 </span>            :             GrB_free (&amp;e) ;                 \</a>
+<a name="350"><span class="lineNum">     350 </span>            :             info1 = info2 ;                 \</a>
+<a name="351"><span class="lineNum">     351 </span>            :             continue ;                      \</a>
+<a name="352"><span class="lineNum">     352 </span>            :         }                                   \</a>
+<a name="353"><span class="lineNum">     353 </span>            :     }</a>
+<a name="354"><span class="lineNum">     354 </span>            : </a>
+<a name="355"><span class="lineNum">     355 </span>            : //  GxB_set (GxB_NTHREADS, 1) ;</a>
+<a name="356"><span class="lineNum">     356 </span>            :     int save_nthreads_outer, save_nthreads_inner ;</a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_GetNumThreads (&amp;save_nthreads_outer, &amp;save_nthreads_inner, msg)) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_SetNumThreads (1, 1, msg)) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span>            : </a>
+<a name="360"><span class="lineNum">     360 </span>            :     int i_tile;</a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          2 :     GrB_Info info1 = GrB_SUCCESS ;</span></a>
+<a name="362"><span class="lineNum">     362 </span>            :     #pragma omp parallel for num_threads(omp_get_max_threads()) schedule(dynamic,1)</a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">          4 :     for (i_tile = 0; i_tile &lt; tile_cnt; ++i_tile) {</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">          2 :         GrB_Matrix A_i = NULL, e = NULL ;</span></a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">          2 :         TRY (GrB_Matrix_new (&amp;e, GrB_INT64, n, 1)) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          2 :         TRY (GrB_assign (e, NULL, NULL, (int64_t) 1, GrB_ALL, n, GrB_ALL, 1, NULL)) ;</span></a>
+<a name="368"><span class="lineNum">     368 </span>            : </a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          2 :         TRY (GrB_Matrix_new (&amp;A_i, GrB_INT64, Tile_nrows [i_tile], n)) ;</span></a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">          2 :         TRY (GrB_Matrix_new (&amp;C_Tiles [i_tile], GrB_INT64, Tile_nrows [i_tile], 1)) ;</span></a>
+<a name="371"><span class="lineNum">     371 </span>            : </a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          2 :         TRY (GrB_mxm (A_i, NULL, NULL, GxB_PLUS_PAIR_INT64, A_Tiles [i_tile], A, NULL)) ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          2 :         TRY (GrB_eWiseAdd (A_i, NULL, NULL, GrB_MINUS_INT64, A_i, D_Tiles [i_tile], NULL)) ;</span></a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">          2 :         TRY (GrB_apply (A_i, NULL, NULL, Sub_one_mult, A_i, NULL)) ;</span></a>
+<a name="375"><span class="lineNum">     375 </span>            : </a>
+<a name="376"><span class="lineNum">     376 </span>            :         // multiply A_i by it on the right</a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          2 :         TRY (GrB_mxm (C_Tiles [i_tile], NULL, NULL, GxB_PLUS_FIRST_INT64, A_i, e, NULL)) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span>            : </a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          2 :         GrB_free (&amp;A_i) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          2 :         GrB_free (&amp;e) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span>            :     }</a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          2 :     GRB_TRY (info1) ;</span></a>
+<a name="384"><span class="lineNum">     384 </span>            : </a>
+<a name="385"><span class="lineNum">     385 </span>            : //  GxB_set (GxB_NTHREADS, omp_get_max_threads()) ;</a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_SetNumThreads (save_nthreads_outer, save_nthreads_inner, msg)) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span>            : </a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          2 :     GRB_TRY (GxB_Matrix_concat (C_4, C_Tiles, tile_cnt, 1, NULL)) ;</span></a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span>            :     // d_12 = C_4</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce (d_12, NULL, NULL, GrB_PLUS_MONOID_INT64, C_4, NULL)) ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_12, NULL, NULL, GrB_DIV_INT64, d_12, 2, NULL)) ;</span></a>
+<a name="393"><span class="lineNum">     393 </span>            : </a>
+<a name="394"><span class="lineNum">     394 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="395"><span class="lineNum">     395 </span>            :     // compute d_13 = D_{4,c}e/2</a>
+<a name="396"><span class="lineNum">     396 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;D_4c, GrB_INT64, n, n)) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_13, GrB_INT64, n)) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span>            : </a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (D_4c, NULL, NULL, GrB_MINUS_INT64, C_3, A, NULL)) ; // can be mult because we mask with A next</span></a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxm (D_4c, A, NULL, GxB_PLUS_SECOND_INT64, A, D_4c, GrB_DESC_S)) ;</span></a>
+<a name="403"><span class="lineNum">     403 </span>            : </a>
+<a name="404"><span class="lineNum">     404 </span>            :     // d_13  = D_{4,c}*e/2</a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce (d_13, NULL, NULL, GrB_PLUS_INT64, D_4c, NULL)) ;</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_13, NULL, NULL, GrB_DIV_INT64, d_13, (int64_t) 2, NULL)) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span>            : </a>
+<a name="408"><span class="lineNum">     408 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="409"><span class="lineNum">     409 </span>            :     // compute d_14 = D_{4,3}e/2 = hadamard(A, C_42)e/2</a>
+<a name="410"><span class="lineNum">     410 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="411"><span class="lineNum">     411 </span>            : </a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;D_43, GrB_INT64, n, n)) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;d_14, GrB_INT64, n)) ;</span></a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;C_42, GrB_INT64, n, n)) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;P_2, GrB_INT64, n, n)) ;</span></a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span>            :     // P_2 = A*A - diag(d_1)</a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseAdd (P_2, A, NULL, GrB_MINUS_INT64, C_3, D_1, NULL)) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span>            : </a>
+<a name="420"><span class="lineNum">     420 </span>            :     // C_42 = hadamard(P_2, P_2 - 1)</a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (C_42, A, NULL, Sub_one_mult, P_2, NULL)) ;</span></a>
+<a name="422"><span class="lineNum">     422 </span>            : </a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          2 :     GRB_TRY (GrB_eWiseMult (D_43, NULL, NULL, GrB_TIMES_INT64, A, C_42, NULL)) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span>            : </a>
+<a name="425"><span class="lineNum">     425 </span>            :     // d_14  = D_{4,3}*e/2</a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce (d_14, NULL, NULL, GrB_PLUS_INT64, D_43, NULL)) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">          2 :     GRB_TRY (GrB_apply (d_14, NULL, NULL, GrB_DIV_INT64, d_14, (int64_t) 2, NULL)) ;</span></a>
+<a name="428"><span class="lineNum">     428 </span>            : </a>
+<a name="429"><span class="lineNum">     429 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="430"><span class="lineNum">     430 </span>            :     // compute d_15 = Te/6</a>
+<a name="431"><span class="lineNum">     431 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="432"><span class="lineNum">     432 </span>            : </a>
+<a name="433"><span class="lineNum">     433 </span><span class="lineCov">          2 :     if (compute_d_15) {</span></a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          2 :         LG_TRY (LAGraph_KTruss (&amp;T, G, 4, msg)) ;</span></a>
+<a name="435"><span class="lineNum">     435 </span><span class="lineCov">          2 :         GRB_TRY (GrB_Vector_new (&amp;d_15, GrB_INT64, n)) ;</span></a>
+<a name="436"><span class="lineNum">     436 </span>            : </a>
+<a name="437"><span class="lineNum">     437 </span><span class="lineCov">          2 :         int nthreads = 1 ;</span></a>
+<a name="438"><span class="lineNum">     438 </span>            :         // todo: parallelize this...</a>
+<a name="439"><span class="lineNum">     439 </span>            : //#pragma omp parallel for num_threads(nthreads)</a>
+<a name="440"><span class="lineNum">     440 </span>            :         //for (int tid = 0 ; tid &lt; nthreads ; tid++)</a>
+<a name="441"><span class="lineNum">     441 </span>            :         {</a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          2 :             GrB_Index *neighbors = (GrB_Index*) malloc(n * sizeof(GrB_Index));</span></a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">          2 :             GrB_Index *k4cmn = (GrB_Index*) malloc(n * sizeof(GrB_Index));</span></a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">          2 :             int64_t *f15 = (int64_t*) malloc(n * sizeof(int64_t));</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          2 :             GrB_Index *I = (GrB_Index *) malloc(n * sizeof(GrB_Index));</span></a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">          2 :             int *isNeighbor = (int*) malloc(n * sizeof(int));</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">         43 :             for (int i = 0; i &lt; n; ++i) {</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">         41 :                 neighbors [i] = k4cmn [i] = f15 [i] = isNeighbor [i] = 0 ;</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">         41 :                 I [i] = i ;</span></a>
+<a name="450"><span class="lineNum">     450 </span>            :             }</a>
+<a name="451"><span class="lineNum">     451 </span>            : </a>
+<a name="452"><span class="lineNum">     452 </span>            : </a>
+<a name="453"><span class="lineNum">     453 </span>            :             // thread tid operates on T(row1:row2-1,:)</a>
+<a name="454"><span class="lineNum">     454 </span><span class="lineCov">          2 :             GrB_Index row1 = 0;//tid * (n / nthreads) ;</span></a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">          2 :             GrB_Index row2 = n;//(tid == nthreads - 1) ? n : ((tid+1) * (n / nthreads)) ;</span></a>
+<a name="456"><span class="lineNum">     456 </span>            : </a>
+<a name="457"><span class="lineNum">     457 </span>            :             GxB_Iterator riterator ;</a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">          2 :             GxB_Iterator_new (&amp;riterator) ;</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">          2 :             GRB_TRY (GxB_rowIterator_attach (riterator, T, NULL)) ;</span></a>
+<a name="460"><span class="lineNum">     460 </span>            : </a>
+<a name="461"><span class="lineNum">     461 </span>            :             GxB_Iterator iterator ;</a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">          2 :             GxB_Iterator_new (&amp;iterator) ;</span></a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">          2 :             GRB_TRY (GxB_rowIterator_attach (iterator, T, NULL)) ;</span></a>
+<a name="464"><span class="lineNum">     464 </span>            : </a>
+<a name="465"><span class="lineNum">     465 </span>            :             // seek to T(row1,:)</a>
+<a name="466"><span class="lineNum">     466 </span><span class="lineCov">          2 :             GrB_Info info = GxB_rowIterator_seekRow (iterator, row1) ;</span></a>
+<a name="467"><span class="lineNum">     467 </span><span class="lineCov">         43 :             while (info != GxB_EXHAUSTED)</span></a>
+<a name="468"><span class="lineNum">     468 </span>            :             {</a>
+<a name="469"><span class="lineNum">     469 </span>            :                 // iterate over entries in T(i,:)</a>
+<a name="470"><span class="lineNum">     470 </span><span class="lineCov">         41 :                 GrB_Index idx2 = GxB_rowIterator_getRowIndex (iterator) ;</span></a>
+<a name="471"><span class="lineNum">     471 </span><span class="lineCov">         41 :                 if (idx2 &gt;= row2) break ;</span></a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">         41 :                 int neighbor_cnt = 0 ;</span></a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">        109 :                 while (info == GrB_SUCCESS)</span></a>
+<a name="474"><span class="lineNum">     474 </span>            :                 {</a>
+<a name="475"><span class="lineNum">     475 </span>            :                     // working with edge (idx2, j)</a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">         68 :                     GrB_Index j = GxB_rowIterator_getColIndex (iterator) ;</span></a>
+<a name="477"><span class="lineNum">     477 </span>            : </a>
+<a name="478"><span class="lineNum">     478 </span><span class="lineCov">         68 :                     if (j &gt; idx2) {</span></a>
+<a name="479"><span class="lineNum">     479 </span><span class="lineCov">         34 :                         neighbors [neighbor_cnt++] = j ;</span></a>
+<a name="480"><span class="lineNum">     480 </span><span class="lineCov">         34 :                         isNeighbor [j] = 1 ;</span></a>
+<a name="481"><span class="lineNum">     481 </span>            :                     }</a>
+<a name="482"><span class="lineNum">     482 </span>            : </a>
+<a name="483"><span class="lineNum">     483 </span><span class="lineCov">         68 :                     info = GxB_rowIterator_nextCol (iterator) ;</span></a>
+<a name="484"><span class="lineNum">     484 </span>            :                 }</a>
+<a name="485"><span class="lineNum">     485 </span>            : </a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">         75 :                 for (int neighbor_id = 0 ; neighbor_id &lt; neighbor_cnt ; ++neighbor_id) {</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">         34 :                     GrB_Index j = neighbors [neighbor_id] ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">         34 :                     int cmn_cnt = 0 ;</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">         34 :                     info = GxB_rowIterator_seekRow(riterator, j) ;</span></a>
+<a name="490"><span class="lineNum">     490 </span>            : </a>
+<a name="491"><span class="lineNum">     491 </span><span class="lineCov">        180 :                     while (info == GrB_SUCCESS) { // iterate over neighbors of j</span></a>
+<a name="492"><span class="lineNum">     492 </span><span class="lineCov">        146 :                         GrB_Index k = GxB_rowIterator_getColIndex (riterator) ;</span></a>
+<a name="493"><span class="lineNum">     493 </span><span class="lineCov">        146 :                         if (k &gt; j &amp;&amp; isNeighbor [k]) {</span></a>
+<a name="494"><span class="lineNum">     494 </span><span class="lineCov">         31 :                             k4cmn [cmn_cnt++] = k ;</span></a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">         31 :                             isNeighbor [k] = -1 ;</span></a>
+<a name="496"><span class="lineNum">     496 </span>            :                         }</a>
+<a name="497"><span class="lineNum">     497 </span><span class="lineCov">        146 :                         info = GxB_rowIterator_nextCol (riterator) ;</span></a>
+<a name="498"><span class="lineNum">     498 </span>            :                     }</a>
+<a name="499"><span class="lineNum">     499 </span>            :                     // check every combination</a>
+<a name="500"><span class="lineNum">     500 </span><span class="lineCov">         65 :                     for (int k_1 = 0 ; k_1 &lt; cmn_cnt ; k_1++) {</span></a>
+<a name="501"><span class="lineNum">     501 </span><span class="lineCov">         31 :                         GrB_Index k = k4cmn [k_1] ;</span></a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">         31 :                         info = GxB_rowIterator_seekRow(riterator, k) ;</span></a>
+<a name="503"><span class="lineNum">     503 </span>            : </a>
+<a name="504"><span class="lineNum">     504 </span><span class="lineCov">        164 :                         while (info == GrB_SUCCESS) { // iterate over neighbors of k</span></a>
+<a name="505"><span class="lineNum">     505 </span><span class="lineCov">        133 :                             GrB_Index l = GxB_rowIterator_getColIndex (riterator) ;</span></a>
+<a name="506"><span class="lineNum">     506 </span><span class="lineCov">        133 :                             if (l &gt; k &amp;&amp; isNeighbor [l] == -1) {</span></a>
+<a name="507"><span class="lineNum">     507 </span><span class="lineCov">         13 :                                 f15[idx2]++ ;</span></a>
+<a name="508"><span class="lineNum">     508 </span><span class="lineCov">         13 :                                 f15[j]++ ;</span></a>
+<a name="509"><span class="lineNum">     509 </span><span class="lineCov">         13 :                                 f15[k]++ ;</span></a>
+<a name="510"><span class="lineNum">     510 </span><span class="lineCov">         13 :                                 f15[l]++ ;</span></a>
+<a name="511"><span class="lineNum">     511 </span>            :                             }</a>
+<a name="512"><span class="lineNum">     512 </span><span class="lineCov">        133 :                             info = GxB_rowIterator_nextCol (riterator) ;</span></a>
+<a name="513"><span class="lineNum">     513 </span>            :                         }</a>
+<a name="514"><span class="lineNum">     514 </span>            :                     }</a>
+<a name="515"><span class="lineNum">     515 </span><span class="lineCov">         65 :                     for (int k_1 = 0 ; k_1 &lt; cmn_cnt ; k_1++) {</span></a>
+<a name="516"><span class="lineNum">     516 </span><span class="lineCov">         31 :                         isNeighbor[k4cmn[k_1]] = 1 ;</span></a>
+<a name="517"><span class="lineNum">     517 </span>            :                     }</a>
+<a name="518"><span class="lineNum">     518 </span>            :                 }</a>
+<a name="519"><span class="lineNum">     519 </span>            : </a>
+<a name="520"><span class="lineNum">     520 </span><span class="lineCov">         75 :                 for (int neighbor_id = 0 ; neighbor_id &lt; neighbor_cnt ; ++neighbor_id) {</span></a>
+<a name="521"><span class="lineNum">     521 </span><span class="lineCov">         34 :                     GrB_Index j = neighbors [neighbor_id] ;</span></a>
+<a name="522"><span class="lineNum">     522 </span><span class="lineCov">         34 :                     isNeighbor [j] = 0 ;</span></a>
+<a name="523"><span class="lineNum">     523 </span>            :                 }</a>
+<a name="524"><span class="lineNum">     524 </span>            : </a>
+<a name="525"><span class="lineNum">     525 </span>            :                 // move to the next row, T(i+1,:)</a>
+<a name="526"><span class="lineNum">     526 </span><span class="lineCov">         41 :                 info = GxB_rowIterator_nextRow (iterator) ;</span></a>
+<a name="527"><span class="lineNum">     527 </span>            :             }</a>
+<a name="528"><span class="lineNum">     528 </span><span class="lineCov">          2 :             GrB_free (&amp;iterator) ;</span></a>
+<a name="529"><span class="lineNum">     529 </span><span class="lineCov">          2 :             GrB_free (&amp;riterator) ;</span></a>
+<a name="530"><span class="lineNum">     530 </span><span class="lineCov">          2 :             GrB_free (&amp;T) ;</span></a>
+<a name="531"><span class="lineNum">     531 </span><span class="lineCov">          2 :             GRB_TRY (GrB_Vector_build (d_15, I, f15, n, NULL)) ;</span></a>
+<a name="532"><span class="lineNum">     532 </span>            : </a>
+<a name="533"><span class="lineNum">     533 </span><span class="lineCov">          2 :             free (neighbors) ;</span></a>
+<a name="534"><span class="lineNum">     534 </span><span class="lineCov">          2 :             free (k4cmn) ;</span></a>
+<a name="535"><span class="lineNum">     535 </span><span class="lineCov">          2 :             free (f15) ;</span></a>
+<a name="536"><span class="lineNum">     536 </span><span class="lineCov">          2 :             free (I) ;</span></a>
+<a name="537"><span class="lineNum">     537 </span><span class="lineCov">          2 :             free (isNeighbor) ;</span></a>
+<a name="538"><span class="lineNum">     538 </span>            :         }</a>
+<a name="539"><span class="lineNum">     539 </span>            : </a>
+<a name="540"><span class="lineNum">     540 </span>            :     }</a>
+<a name="541"><span class="lineNum">     541 </span>            : </a>
+<a name="542"><span class="lineNum">     542 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="543"><span class="lineNum">     543 </span>            :     // construct raw frequencies matrix F_raw</a>
+<a name="544"><span class="lineNum">     544 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="545"><span class="lineNum">     545 </span>            : </a>
+<a name="546"><span class="lineNum">     546 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;F_raw, GrB_INT64, 16, n)) ;</span></a>
+<a name="547"><span class="lineNum">     547 </span>            : </a>
+<a name="548"><span class="lineNum">     548 </span><span class="lineCov">          2 :     GrB_Vector d[16] = {d_0, d_1, d_2, d_3, d_4, d_5, d_6, d_7, d_8, d_9, d_10, d_11, d_12, d_13, d_14, d_15} ;</span></a>
+<a name="549"><span class="lineNum">     549 </span>            : </a>
+<a name="550"><span class="lineNum">     550 </span><span class="lineCov">         34 :     for (int i = 0; i &lt; 15 + (compute_d_15 ? 1 : 0); ++i) {</span></a>
+<a name="551"><span class="lineNum">     551 </span><span class="lineCov">         32 :         GRB_TRY (GrB_Vector_nvals (&amp;nvals, d[i]));</span></a>
+<a name="552"><span class="lineNum">     552 </span>            : </a>
+<a name="553"><span class="lineNum">     553 </span><span class="lineCov">         32 :         GrB_Index *J = (GrB_Index*) malloc (nvals*sizeof(GrB_Index)) ;</span></a>
+<a name="554"><span class="lineNum">     554 </span><span class="lineCov">         32 :         int64_t *vals = (int64_t*) malloc (nvals*sizeof(int64_t)) ;</span></a>
+<a name="555"><span class="lineNum">     555 </span>            : </a>
+<a name="556"><span class="lineNum">     556 </span><span class="lineCov">         32 :         GRB_TRY (GrB_Vector_extractTuples (J, vals, &amp;nvals, d[i])) ;</span></a>
+<a name="557"><span class="lineNum">     557 </span><span class="lineCov">        678 :         for (int j = 0; j &lt; nvals; ++j) {</span></a>
+<a name="558"><span class="lineNum">     558 </span><span class="lineCov">        646 :             GRB_TRY (GrB_Matrix_setElement (F_raw, vals[j], i, J[j])) ;</span></a>
+<a name="559"><span class="lineNum">     559 </span>            :         }</a>
+<a name="560"><span class="lineNum">     560 </span>            : </a>
+<a name="561"><span class="lineNum">     561 </span><span class="lineCov">         32 :         free (J) ;</span></a>
+<a name="562"><span class="lineNum">     562 </span><span class="lineCov">         32 :         free (vals) ;</span></a>
+<a name="563"><span class="lineNum">     563 </span>            :     }</a>
+<a name="564"><span class="lineNum">     564 </span>            : </a>
+<a name="565"><span class="lineNum">     565 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="566"><span class="lineNum">     566 </span>            :     // construct U_inv</a>
+<a name="567"><span class="lineNum">     567 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="568"><span class="lineNum">     568 </span>            : </a>
+<a name="569"><span class="lineNum">     569 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (&amp;U_inv, GrB_INT64, 16, 16)) ;</span></a>
+<a name="570"><span class="lineNum">     570 </span>            : </a>
+<a name="571"><span class="lineNum">     571 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_build (U_inv, U_inv_I, U_inv_J, U_inv_X, U_inv_nvals, GrB_PLUS_INT64)) ;</span></a>
+<a name="572"><span class="lineNum">     572 </span>            :     //GRB_TRY (GxB_print (U_inv, 3)) ;</a>
+<a name="573"><span class="lineNum">     573 </span>            : </a>
+<a name="574"><span class="lineNum">     574 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="575"><span class="lineNum">     575 </span>            :     // construct net frequencies matrix F_net</a>
+<a name="576"><span class="lineNum">     576 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="577"><span class="lineNum">     577 </span>            : </a>
+<a name="578"><span class="lineNum">     578 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new (F_net, GrB_INT64, 16, n)) ;</span></a>
+<a name="579"><span class="lineNum">     579 </span>            : </a>
+<a name="580"><span class="lineNum">     580 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxm (*F_net, NULL, NULL, GxB_PLUS_TIMES_INT64, U_inv, F_raw, NULL)) ;</span></a>
+<a name="581"><span class="lineNum">     581 </span>            : </a>
+<a name="582"><span class="lineNum">     582 </span><span class="lineCov">          2 :     GrB_Vector f_net = NULL ;</span></a>
+<a name="583"><span class="lineNum">     583 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (&amp;f_net, GrB_INT64, 16)) ;</span></a>
+<a name="584"><span class="lineNum">     584 </span><span class="lineCov">          2 :     GRB_TRY (GrB_reduce (f_net, NULL, NULL, GrB_PLUS_INT64, *F_net, NULL)) ;</span></a>
+<a name="585"><span class="lineNum">     585 </span><span class="lineCov">          2 :     GRB_TRY (GxB_print (f_net, 3)) ;</span></a>
+<a name="586"><span class="lineNum">     586 </span><span class="lineCov">          2 :     GRB_TRY (GrB_free (&amp;f_net)) ;</span></a>
+<a name="587"><span class="lineNum">     587 </span>            :     //GRB_TRY (GxB_print (*F_net, 3)) ;</a>
+<a name="588"><span class="lineNum">     588 </span>            : </a>
+<a name="589"><span class="lineNum">     589 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="590"><span class="lineNum">     590 </span>            :     // free work</a>
+<a name="591"><span class="lineNum">     591 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="592"><span class="lineNum">     592 </span>            : </a>
+<a name="593"><span class="lineNum">     593 </span><span class="lineCov">          8 :     LG_FREE_WORK ;</span></a>
+<a name="594"><span class="lineNum">     594 </span><span class="lineCov">          2 :     free ((void *) A_Tiles) ;       A_Tiles = NULL ;</span></a>
+<a name="595"><span class="lineNum">     595 </span><span class="lineCov">          2 :     free ((void *) D_Tiles) ;       D_Tiles = NULL ;</span></a>
+<a name="596"><span class="lineNum">     596 </span><span class="lineCov">          2 :     free ((void *) C_Tiles) ;       C_Tiles = NULL ;</span></a>
+<a name="597"><span class="lineNum">     597 </span><span class="lineCov">          2 :     free ((void *) Tile_nrows) ;    Tile_nrows = NULL ;</span></a>
+<a name="598"><span class="lineNum">     598 </span>            : </a>
+<a name="599"><span class="lineNum">     599 </span><span class="lineCov">          2 :     return (0) ;</span></a>
+<a name="600"><span class="lineNum">     600 </span>            : #endif</a>
+<a name="601"><span class="lineNum">     601 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_HelloWorld.c.func-sort-c.html b/experimental/algorithm/LAGraph_HelloWorld.c.func-sort-c.html
new file mode 100644
index 0000000000..e2f300bb47
--- /dev/null
+++ b/experimental/algorithm/LAGraph_HelloWorld.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_HelloWorld.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_HelloWorld.c<span style="font-size: 80%;"> (<a href="LAGraph_HelloWorld.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_HelloWorld.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_HelloWorld.c.gcov.html#54">LAGraph_HelloWorld</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_HelloWorld.c.func.html b/experimental/algorithm/LAGraph_HelloWorld.c.func.html
new file mode 100644
index 0000000000..893e9bb11b
--- /dev/null
+++ b/experimental/algorithm/LAGraph_HelloWorld.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_HelloWorld.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_HelloWorld.c<span style="font-size: 80%;"> (<a href="LAGraph_HelloWorld.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_HelloWorld.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_HelloWorld.c.gcov.html#54">LAGraph_HelloWorld</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_HelloWorld.c.gcov.html b/experimental/algorithm/LAGraph_HelloWorld.c.gcov.html
new file mode 100644
index 0000000000..b52378eaf9
--- /dev/null
+++ b/experimental/algorithm/LAGraph_HelloWorld.c.gcov.html
@@ -0,0 +1,175 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_HelloWorld.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_HelloWorld.c<span style="font-size: 80%;"> (source / <a href="LAGraph_HelloWorld.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_HelloWorld: a nearly empty algorithm</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is a bare-bones &quot;algorithm&quot; that does nearly nothing all.  It simply</a>
+<a name="19"><span class="lineNum">      19 </span>            : // illustrates how a new algorithm can be added to the experimental/algorithm</a>
+<a name="20"><span class="lineNum">      20 </span>            : // folder.  All it does is make a copy of the G-&gt;A matrix and return it as</a>
+<a name="21"><span class="lineNum">      21 </span>            : // the new matrix Y.  Inside, it allocates some worspace as well (the matrix W,</a>
+<a name="22"><span class="lineNum">      22 </span>            : // which is not used).  To illustrate the use of the error msg string, it</a>
+<a name="23"><span class="lineNum">      23 </span>            : // returns an error if the graph not directed.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // The GRB_TRY and LG_TRY macros use the LG_FREE_ALL macro to free all</a>
+<a name="26"><span class="lineNum">      26 </span>            : // workspace and all output variables if an error occurs.  To use these macros,</a>
+<a name="27"><span class="lineNum">      27 </span>            : // you must define the variables before using them, or before using GRB_TRY</a>
+<a name="28"><span class="lineNum">      28 </span>            : // or LG_TRY.  The LG_TRY macro is defined in src/utility/LG_internal.h.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // To create your own algorithm, create a copy of this file, rename it</a>
+<a name="31"><span class="lineNum">      31 </span>            : // to LAGraph_whatever.c, and use it as a template for your own algorithm.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // Then place the prototype in include/LAGraphX.h.</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // See experimental/test/test_HelloWorld.c for a test for this method, and</a>
+<a name="35"><span class="lineNum">      35 </span>            : // experimental/benchmark/helloworld_demo.c and helloworld2_demo.c for two</a>
+<a name="36"><span class="lineNum">      36 </span>            : // methods that benchmark the performance of this algorithm.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #define LG_FREE_WORK                        \</a>
+<a name="39"><span class="lineNum">      39 </span>            : {                                           \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     /* free any workspace used here */      \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_free (&amp;W) ;                         \</a>
+<a name="42"><span class="lineNum">      42 </span>            : }</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="45"><span class="lineNum">      45 </span>            : {                                           \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     /* free any workspace used here */      \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     LG_FREE_WORK ;                          \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     /* free all the output variable(s) */   \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free (&amp;Y) ;                         \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     /* take any other corrective action */  \</a>
+<a name="51"><span class="lineNum">      51 </span>            : }</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="54"><span class="lineNum">      54 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 : int LAGraph_HelloWorld // a simple algorithm, just for illustration</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : (</a>
+<a name="58"><span class="lineNum">      58 </span>            :     // output</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_Matrix *Yhandle,    // Y, created on output</a>
+<a name="60"><span class="lineNum">      60 </span>            :     // input: not modified</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_Graph G,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     char *msg</a>
+<a name="63"><span class="lineNum">      63 </span>            : )</a>
+<a name="64"><span class="lineNum">      64 </span>            : {</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            :     // check inputs</a>
+<a name="68"><span class="lineNum">      68 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     GrB_Matrix W = NULL, Y = NULL ;     // declare workspace and output(s)</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     LG_CLEAR_MSG ;                      // clears the msg string, if not NULL</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     // the caller must pass in a non-NULL &amp;Y on input</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     LG_ASSERT (Yhandle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     (*Yhandle) = NULL ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     // basic checks of the input graph</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     // the graph must be directed (a useless test, just to illustrate</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // the use of the LG_ASSERT_MSG macro)</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     LG_ASSERT_MSG (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED,</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :         GrB_INVALID_VALUE, &quot;LAGraph_HelloWorld requires a directed graph&quot;) ;</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            :     // allocate workspace and create the output matrix Y</a>
+<a name="87"><span class="lineNum">      87 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_new (&amp;W, GrB_FP32, 5, 5)) ;     // useless workspace</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_dup (&amp;Y, G-&gt;A)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            :     // free workspace and return result</a>
+<a name="94"><span class="lineNum">      94 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     LG_FREE_WORK ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     (*Yhandle) = Y ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :     return (GrB_SUCCESS) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCore.c.func-sort-c.html b/experimental/algorithm/LAGraph_KCore.c.func-sort-c.html
new file mode 100644
index 0000000000..0ee9213bf6
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCore.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCore.c<span style="font-size: 80%;"> (<a href="LAGraph_KCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_KCore.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KCore.c.gcov.html#33">LAGraph_KCore</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCore.c.func.html b/experimental/algorithm/LAGraph_KCore.c.func.html
new file mode 100644
index 0000000000..faa9c3dc2f
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCore.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCore.c<span style="font-size: 80%;"> (<a href="LAGraph_KCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_KCore.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KCore.c.gcov.html#33">LAGraph_KCore</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCore.c.gcov.html b/experimental/algorithm/LAGraph_KCore.c.gcov.html
new file mode 100644
index 0000000000..56ccbff66c
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCore.c.gcov.html
@@ -0,0 +1,213 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCore.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCore.c<span style="font-size: 80%;"> (source / <a href="LAGraph_KCore.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_KCore: Single K-core Decomposition Using the GraphBLAS API</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_WORK                \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                                   \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;deg) ;               \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     GrB_free (&amp;q) ;                 \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     GrB_free (&amp;delta) ;             \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     GrB_free (&amp;done) ;              \</a>
+<a name="24"><span class="lineNum">      24 </span>            : }</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="27"><span class="lineNum">      27 </span>            : {                                   \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LG_FREE_WORK                    \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (decomp) ;             \</a>
+<a name="30"><span class="lineNum">      30 </span>            : }</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          8 : int LAGraph_KCore</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : (</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // outputs:</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_Vector *decomp,     // kcore decomposition</a>
+<a name="39"><span class="lineNum">      39 </span>            :     // inputs:</a>
+<a name="40"><span class="lineNum">      40 </span>            :     LAGraph_Graph G,        // input graph</a>
+<a name="41"><span class="lineNum">      41 </span>            :     uint64_t k,             //k level to compare to</a>
+<a name="42"><span class="lineNum">      42 </span>            :     char *msg</a>
+<a name="43"><span class="lineNum">      43 </span>            : )</a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          8 :     LG_CLEAR_MSG ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     // declare items</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          8 :     GrB_Matrix A = NULL;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          8 :     GrB_Vector deg = NULL, q = NULL, done = NULL, delta = NULL;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          8 :     LG_ASSERT (decomp != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          7 :     (*decomp) = NULL ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          7 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          6 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          3 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          3 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :     {</a>
+<a name="60"><span class="lineNum">      60 </span>            :          // the structure of A is known to be symmetric</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          5 :         A = G-&gt;A ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :     }</a>
+<a name="63"><span class="lineNum">      63 </span>            :     else</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span>            :         // A is not known to be symmetric</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     }</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            :     // no self edges can be present</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          5 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //create work scalars</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_Index n, qnvals, degnvals, maxDeg;</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Matrix_nrows(&amp;n, A)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :     //create deg vector using rowdegree property</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          4 :     LG_TRY (LAGraph_Cached_OutDegree(G, msg)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_dup(&amp;deg, G-&gt;out_degree)) ; //original deg vector is technically 1-core since 0 is omitted</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_nvals(&amp;degnvals, deg)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :     //retrieve the max degree level of the graph</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          4 :     GRB_TRY (GrB_reduce(&amp;maxDeg, GrB_NULL, GrB_MAX_MONOID_INT64, G-&gt;out_degree, GrB_NULL)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //select int type for work vectors and semirings</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          4 :     GrB_Type int_type  = (maxDeg &gt; INT32_MAX) ? GrB_INT64 : GrB_INT32 ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new(&amp;q, int_type, n));</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new(&amp;done, GrB_BOOL, n)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new(&amp;delta, int_type, n)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     //set output to int64</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new(decomp, int_type, n)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :     //change deg vector to int32 if needed</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          4 :     if(int_type == GrB_INT32){</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Vector_new(&amp;deg, int_type, n)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          4 :         GRB_TRY (GrB_assign (deg, G-&gt;out_degree, NULL, G-&gt;out_degree, GrB_ALL, n, NULL)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     }</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     // determine semiring types</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          4 :     GrB_IndexUnaryOp valueLT = (maxDeg &gt; INT32_MAX) ? GrB_VALUELT_INT64 : GrB_VALUELT_INT32 ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          4 :     GrB_BinaryOp minus_op = (maxDeg &gt; INT32_MAX) ? GrB_MINUS_INT64 : GrB_MINUS_INT32 ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          4 :     GrB_Semiring semiring = (maxDeg &gt; INT32_MAX) ? LAGraph_plus_one_int64 : LAGraph_plus_one_int32 ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            : #if LG_SUITESPARSE</a>
+<a name="106"><span class="lineNum">     106 </span>            :     GRB_TRY (GxB_set (done, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ;    // try this</a>
+<a name="107"><span class="lineNum">     107 </span>            :     //GRB_TRY (GxB_set (*decomp, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ; // try this ... likely not needed</a>
+<a name="108"><span class="lineNum">     108 </span>            : #endif</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     // Creating q</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          4 :     GRB_TRY (GrB_select (q, GrB_NULL, GrB_NULL, valueLT, deg, k, GrB_NULL)) ; // get all nodes with degree = level</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_nvals(&amp;qnvals, q));</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     // while q not empty</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          4 :     int round = 0;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         10 :     while(qnvals &gt; 0 &amp;&amp; degnvals &gt; 0){</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          6 :         round++;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :         //add anything in q as true into the done list</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          6 :         GRB_TRY (GrB_assign (done, q, NULL, (bool) true, GrB_ALL, n, GrB_DESC_S)) ; //structure to take care of 0-node cases</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :         // Create delta (the nodes who lost friends, and how many they lost) (push version)</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          6 :         GRB_TRY (GrB_vxm (delta, GrB_NULL, GrB_NULL, semiring, q, A, GrB_NULL));</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :         // Create new deg vector (keep anything not in done vector)</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          6 :         GRB_TRY (GrB_eWiseAdd(deg, done, GrB_NULL, minus_op, deg, delta, GrB_DESC_RSC)) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :         // Update q, set new nvals</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          6 :         GRB_TRY (GrB_select (q, GrB_NULL, GrB_NULL, valueLT, deg, k, GrB_NULL)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          6 :         GRB_TRY (GrB_Vector_nvals(&amp;qnvals, q)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          6 :         GRB_TRY (GrB_Vector_nvals(&amp;degnvals, deg)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :     }</a>
+<a name="132"><span class="lineNum">     132 </span>            :     //Assign values of deg to decomp</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          4 :     GRB_TRY (GrB_assign (*decomp, deg, NULL, k, GrB_ALL, n, GrB_NULL)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          4 :     GRB_TRY(GrB_Vector_wait(*decomp, GrB_MATERIALIZE));</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          4 :     LG_FREE_WORK ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          4 :     return (GrB_SUCCESS) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCoreDecompose.c.func-sort-c.html b/experimental/algorithm/LAGraph_KCoreDecompose.c.func-sort-c.html
new file mode 100644
index 0000000000..6a1796a9a2
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCoreDecompose.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCoreDecompose.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCoreDecompose.c<span style="font-size: 80%;"> (<a href="LAGraph_KCoreDecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_KCoreDecompose.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KCoreDecompose.c.gcov.html#32">LAGraph_KCore_Decompose</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCoreDecompose.c.func.html b/experimental/algorithm/LAGraph_KCoreDecompose.c.func.html
new file mode 100644
index 0000000000..7617535e59
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCoreDecompose.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCoreDecompose.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCoreDecompose.c<span style="font-size: 80%;"> (<a href="LAGraph_KCoreDecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_KCoreDecompose.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KCoreDecompose.c.gcov.html#32">LAGraph_KCore_Decompose</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KCoreDecompose.c.gcov.html b/experimental/algorithm/LAGraph_KCoreDecompose.c.gcov.html
new file mode 100644
index 0000000000..d461a01570
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KCoreDecompose.c.gcov.html
@@ -0,0 +1,192 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KCoreDecompose.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KCoreDecompose.c<span style="font-size: 80%;"> (source / <a href="LAGraph_KCoreDecompose.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_KCoreDecompose: Helper method to LAGraph_KCore and LAGraph_AllKCore</a>
+<a name="3"><span class="lineNum">       3 </span>            : // that performs graph decomposition given a specified value k.</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #define LG_FREE_WORK                \</a>
+<a name="20"><span class="lineNum">      20 </span>            : {                                   \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     GrB_free (&amp;C) ;                 \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     GrB_free (&amp;deg) ;               \</a>
+<a name="23"><span class="lineNum">      23 </span>            : }</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="26"><span class="lineNum">      26 </span>            : {                                   \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LG_FREE_WORK                    \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_free (D) ;                  \</a>
+<a name="29"><span class="lineNum">      29 </span>            : }</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          6 : int LAGraph_KCore_Decompose</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : (</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // outputs:</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_Matrix *D,              // kcore decomposition</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // inputs:</a>
+<a name="39"><span class="lineNum">      39 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_Vector decomp,         // input decomposition matrix</a>
+<a name="41"><span class="lineNum">      41 </span>            :     uint64_t k,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     char *msg</a>
+<a name="43"><span class="lineNum">      43 </span>            : )</a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          6 :     LG_CLEAR_MSG ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     // declare items</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          6 :     GrB_Matrix A = NULL, C = NULL;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          6 :     GrB_Vector deg = NULL;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          6 :     LG_ASSERT (D != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          6 :     (*D) = NULL ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="56"><span class="lineNum">      56 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="57"><span class="lineNum">      57 </span>            : #else</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          6 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          5 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          2 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          2 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span>            :          // the structure of A is known to be symmetric</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          4 :         A = G-&gt;A ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     }</a>
+<a name="68"><span class="lineNum">      68 </span>            :     else</a>
+<a name="69"><span class="lineNum">      69 </span>            :     {</a>
+<a name="70"><span class="lineNum">      70 </span>            :         // A is not known to be symmetric</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     }</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :     // no self edges can be present</a>
+<a name="75"><span class="lineNum">      75 </span>            :     // todo: what would happen if there are self edges?</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          4 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //create work scalars</a>
+<a name="79"><span class="lineNum">      79 </span>            :     GrB_Index nrows, n;</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Matrix_nrows(&amp;nrows, A)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_size(&amp;n, decomp)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          2 :     LG_ASSERT_MSG (nrows == n, -1003, &quot;Size of vector and rows of matrix must be same&quot;) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //Create Vectors and Matrices</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new(&amp;deg, GrB_INT64, n)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new(D, GrB_INT64, n, n)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :     //create deg vector using select</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          2 :     GRB_TRY (GrB_select (deg, GrB_NULL, GrB_NULL, GrB_VALUEGE_INT64, decomp, k, GrB_NULL)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :     //create decomposition matrix (C * A * C)</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="94"><span class="lineNum">      94 </span>            :         #if GxB_IMPLEMENTATION &gt;= GxB_VERSION (7,0,0)</a>
+<a name="95"><span class="lineNum">      95 </span>            :         // SuiteSparse 7.x and later:</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          2 :         GRB_TRY (GrB_Matrix_diag(&amp;C, deg, 0)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :         #else</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // SuiteSparse 6.x and earlier, which had the incorrect signature:</a>
+<a name="99"><span class="lineNum">      99 </span>            :         GRB_TRY (GrB_Matrix_new(&amp;C, GrB_INT64, n, n)) ;</a>
+<a name="100"><span class="lineNum">     100 </span>            :         GRB_TRY (GrB_Matrix_diag(C, deg, 0)) ;</a>
+<a name="101"><span class="lineNum">     101 </span>            :         #endif</a>
+<a name="102"><span class="lineNum">     102 </span>            :     #else</a>
+<a name="103"><span class="lineNum">     103 </span>            :     // standard GrB:</a>
+<a name="104"><span class="lineNum">     104 </span>            :     GRB_TRY (GrB_Matrix_diag(&amp;C, deg, 0)) ;</a>
+<a name="105"><span class="lineNum">     105 </span>            :     #endif</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxm (*D, NULL, NULL, GxB_ANY_SECONDI_INT64, C, A, GrB_NULL)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          2 :     GRB_TRY (GrB_mxm (*D, NULL, NULL, GxB_MIN_SECONDI_INT64, *D, C, GrB_NULL)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     //Assigns all values as 1 (todo: change to something cleaner)</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          2 :     GRB_TRY (GrB_assign (*D, *D, NULL, (int64_t) 1, GrB_ALL, n, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          2 :     LG_FREE_WORK ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          2 :     return (GrB_SUCCESS) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : #endif</a>
+<a name="116"><span class="lineNum">     116 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KTruss.c.func-sort-c.html b/experimental/algorithm/LAGraph_KTruss.c.func-sort-c.html
new file mode 100644
index 0000000000..83567b5413
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KTruss.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KTruss.c<span style="font-size: 80%;"> (<a href="LAGraph_KTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_KTruss.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KTruss.c.gcov.html#41">LAGraph_KTruss</a></td>
+              <td class="coverFnHi">84</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KTruss.c.func.html b/experimental/algorithm/LAGraph_KTruss.c.func.html
new file mode 100644
index 0000000000..700f5a4f06
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KTruss.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KTruss.c<span style="font-size: 80%;"> (<a href="LAGraph_KTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_KTruss.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_KTruss.c.gcov.html#41">LAGraph_KTruss</a></td>
+              <td class="coverFnHi">84</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_KTruss.c.gcov.html b/experimental/algorithm/LAGraph_KTruss.c.gcov.html
new file mode 100644
index 0000000000..c7cd7e87d8
--- /dev/null
+++ b/experimental/algorithm/LAGraph_KTruss.c.gcov.html
@@ -0,0 +1,190 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_KTruss.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_KTruss.c<span style="font-size: 80%;"> (source / <a href="LAGraph_KTruss.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_KTruss: k-truss subgraph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_KTruss: k-truss subgraph.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // Given a symmetric graph A with no-self edges, LAGraph_KTruss finds the</a>
+<a name="21"><span class="lineNum">      21 </span>            : // k-truss subgraph of A.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // The graph G must be undirected, or have an adjacency matrix with symmetric</a>
+<a name="24"><span class="lineNum">      24 </span>            : // structure.  Only the structure of G-&gt;A is considered.  Its values are</a>
+<a name="25"><span class="lineNum">      25 </span>            : // ignored.  G must not have any self-edges.</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // The output matrix C is the k-truss subgraph of A.  Its edges are a subset of</a>
+<a name="28"><span class="lineNum">      28 </span>            : // G-&gt;A.  Each edge in C is part of at least k-2 triangles in C.  The structure</a>
+<a name="29"><span class="lineNum">      29 </span>            : // of C is the adjacency matrix of the k-truss subgraph of A.  The edge weights</a>
+<a name="30"><span class="lineNum">      30 </span>            : // of C are the support of each edge.  That is, C(i,j)=nt if the edge (i,j) is</a>
+<a name="31"><span class="lineNum">      31 </span>            : // part of nt triangles in C.  All edges in C have support of at least k-2.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // The total number of triangles in C is sum(C)/6.  C is returned as symmetric</a>
+<a name="33"><span class="lineNum">      33 </span>            : // with a zero-free diagonal.</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : #define LG_FREE_ALL GrB_free (&amp;C) ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="37"><span class="lineNum">      37 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // LAGraph_KTruss: find the k-truss subgraph of a graph</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">         84 : int LAGraph_KTruss              // compute the k-truss of a graph</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : (</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // outputs:</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_Matrix *C_handle,       // output k-truss subgraph, C</a>
+<a name="47"><span class="lineNum">      47 </span>            :     // inputs:</a>
+<a name="48"><span class="lineNum">      48 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="49"><span class="lineNum">      49 </span>            :     uint32_t k,                 // find the k-truss, where k &gt;= 3</a>
+<a name="50"><span class="lineNum">      50 </span>            :     char *msg</a>
+<a name="51"><span class="lineNum">      51 </span>            : )</a>
+<a name="52"><span class="lineNum">      52 </span>            : {</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            :     // check inputs</a>
+<a name="56"><span class="lineNum">      56 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         84 :     LG_CLEAR_MSG ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         84 :     GrB_Matrix C = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         84 :     LG_ASSERT (C_handle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         83 :     (*C_handle) = NULL ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         83 :     LG_ASSERT_MSG (k &gt;= 3, GrB_INVALID_VALUE, &quot;k invalid&quot;) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         82 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         81 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          9 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          9 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :     {</a>
+<a name="69"><span class="lineNum">      69 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="70"><span class="lineNum">      70 </span>            :         ;</a>
+<a name="71"><span class="lineNum">      71 </span>            :     }</a>
+<a name="72"><span class="lineNum">      72 </span>            :     else</a>
+<a name="73"><span class="lineNum">      73 </span>            :     {</a>
+<a name="74"><span class="lineNum">      74 </span>            :         // A is not known to be symmetric</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     // no self edges can be present</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         80 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            :     // initializations</a>
+<a name="83"><span class="lineNum">      83 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            :     GrB_Index n ;</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         79 :     GrB_Matrix S = G-&gt;A ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         79 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, S)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         79 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_UINT32, n, n)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     GrB_Index nvals, nvals_last ;</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         79 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals_last, S)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            :     // find the k-truss of G-&gt;A</a>
+<a name="94"><span class="lineNum">      94 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     while (true)</a>
+<a name="97"><span class="lineNum">      97 </span>            :     {</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // C{S} = S*S'</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        327 :         GRB_TRY (GrB_mxm (C, S, NULL, LAGraph_plus_one_uint32, S, S,</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :             GrB_DESC_RST1)) ;</a>
+<a name="101"><span class="lineNum">     101 </span>            :         // keep entries in C that are &gt;= k-2</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        327 :         GRB_TRY (GrB_select (C, NULL, NULL, GrB_VALUEGE_UINT32, C, k-2, NULL)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :         // return if the k-truss has been found</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        327 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals, C)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        327 :         if (nvals == nvals_last)</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :         {</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         79 :             (*C_handle) = C ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         79 :             return (GrB_SUCCESS) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :         }</a>
+<a name="110"><span class="lineNum">     110 </span>            :         // advance to the next step</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        248 :         nvals_last = nvals ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">        248 :         S = C ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :     }</a>
+<a name="114"><span class="lineNum">     114 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func-sort-c.html b/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func-sort-c.html
new file mode 100644
index 0000000000..a455824e14
--- /dev/null
+++ b/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_MaximalIndependentSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_MaximalIndependentSet.c<span style="font-size: 80%;"> (<a href="LAGraph_MaximalIndependentSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_MaximalIndependentSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MaximalIndependentSet.c.gcov.html#57">LAGraph_MaximalIndependentSet</a></td>
+              <td class="coverFnHi">368</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func.html b/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func.html
new file mode 100644
index 0000000000..6609d50cb3
--- /dev/null
+++ b/experimental/algorithm/LAGraph_MaximalIndependentSet.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_MaximalIndependentSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
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+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
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+            <td class="headerValue">2024-08-30 17:16:41</td>
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+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+              <td class="coverFn"><a href="LAGraph_MaximalIndependentSet.c.gcov.html#57">LAGraph_MaximalIndependentSet</a></td>
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+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+        </table>
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+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_MaximalIndependentSet: maximal independent set, with constraints</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Modified from the GraphBLAS C API Specification, by Aydin Buluc, Timothy</a>
+<a name="15"><span class="lineNum">      15 </span>            : // Mattson, Scott McMillan, Jose' Moreira, Carl Yang.  Based on &quot;GraphBLAS</a>
+<a name="16"><span class="lineNum">      16 </span>            : // Mathematics&quot; by Jeremy Kepner.  Revised by Timothy A. Davis, Texas A&amp;M</a>
+<a name="17"><span class="lineNum">      17 </span>            : // University.</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : //------------------------------------------------------------------------------</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_WORK                \</a>
+<a name="22"><span class="lineNum">      22 </span>            : {                                   \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     GrB_free (&amp;neighbor_max) ;      \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;new_members) ;       \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_free (&amp;new_neighbors) ;     \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     GrB_free (&amp;candidates) ;        \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     GrB_free (&amp;empty) ;             \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_free (&amp;Seed) ;              \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (&amp;score) ;             \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_free (&amp;degree) ;            \</a>
+<a name="31"><span class="lineNum">      31 </span>            : }</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="34"><span class="lineNum">      34 </span>            : {                                   \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;iset) ;              \</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="40"><span class="lineNum">      40 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : // A variant of Luby's randomized algorithm [Luby 1985].</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : // Given a numeric n x n adjacency matrix A of an unweighted and undirected</a>
+<a name="45"><span class="lineNum">      45 </span>            : // graph (where the value true represents an edge), compute a maximal set of</a>
+<a name="46"><span class="lineNum">      46 </span>            : // independent nodes and return it in a boolean n-vector, mis where</a>
+<a name="47"><span class="lineNum">      47 </span>            : // mis[i] == true implies node i is a member of the set.</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : // The graph cannot have any self edges, and it must be symmetric.  Self-edges</a>
+<a name="50"><span class="lineNum">      50 </span>            : // (diagonal entries) will cause the method to stall, and thus G-&gt;nself_edges</a>
+<a name="51"><span class="lineNum">      51 </span>            : // must be zero on input.  G-&gt;out_degree must be present on input.  It must not</a>
+<a name="52"><span class="lineNum">      52 </span>            : // contain any explicit zeros (this is handled by LAGraph_Cached_OutDegree).</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : // Singletons require special treatment.  Since they have no neighbors, their</a>
+<a name="55"><span class="lineNum">      55 </span>            : // score is never greater than the max of their neighbors, so they never get</a>
+<a name="56"><span class="lineNum">      56 </span>            : // selected and cause the method to stall.  To avoid this case they are removed</a>
+<a name="57"><span class="lineNum">      57 </span>            : // from the candidate set at the begining, and added to the independent set.</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        368 : int LAGraph_MaximalIndependentSet       // maximal independent set</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : (</a>
+<a name="61"><span class="lineNum">      61 </span>            :     // outputs:</a>
+<a name="62"><span class="lineNum">      62 </span>            :     GrB_Vector *mis,            // mis(i) = true if i is in the set</a>
+<a name="63"><span class="lineNum">      63 </span>            :     // inputs:</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="65"><span class="lineNum">      65 </span>            :     uint64_t seed,              // random number seed</a>
+<a name="66"><span class="lineNum">      66 </span>            :     GrB_Vector ignore_node,     // if NULL, no nodes are ignored.  Otherwise</a>
+<a name="67"><span class="lineNum">      67 </span>            :                                 // ignore_node(i) = true if node i is to be</a>
+<a name="68"><span class="lineNum">      68 </span>            :                                 // ignored, and not treated as a candidate</a>
+<a name="69"><span class="lineNum">      69 </span>            :                                 // added to maximal independent set.</a>
+<a name="70"><span class="lineNum">      70 </span>            :     char *msg</a>
+<a name="71"><span class="lineNum">      71 </span>            : )</a>
+<a name="72"><span class="lineNum">      72 </span>            : {</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            :     // check inputs</a>
+<a name="76"><span class="lineNum">      76 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">        368 :     LG_CLEAR_MSG ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">        368 :     GrB_Vector iset = NULL ;            // independent set (output vector)</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">        368 :     GrB_Vector score = NULL ;           // random score for each node</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">        368 :     GrB_Vector neighbor_max = NULL ;    // value of max neighbor score</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">        368 :     GrB_Vector new_members = NULL ;     // set of new members to add to iset</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        368 :     GrB_Vector new_neighbors = NULL ;   // new neighbors to new iset members</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        368 :     GrB_Vector candidates = NULL ;      // candidate nodes</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        368 :     GrB_Vector empty = NULL ;           // an empty vector</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        368 :     GrB_Vector Seed = NULL ;            // random number seed vector</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        368 :     GrB_Vector degree = NULL ;          // (float) G-&gt;out_degree</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     GrB_Matrix A ;                      // G-&gt;A, the adjacency matrix</a>
+<a name="89"><span class="lineNum">      89 </span>            :     GrB_Index n ;                       // # of nodes</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        368 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        368 :     LG_ASSERT (mis != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        368 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         48 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         48 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     {</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        352 :         A = G-&gt;A ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     }</a>
+<a name="101"><span class="lineNum">     101 </span>            :     else</a>
+<a name="102"><span class="lineNum">     102 </span>            :     {</a>
+<a name="103"><span class="lineNum">     103 </span>            :         // A is not known to be symmetric</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         16 :         LG_ASSERT_MSG (false, -105, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     }</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        352 :     LG_ASSERT_MSG (G-&gt;out_degree != NULL, -106,</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :         &quot;G-&gt;out_degree must be defined&quot;) ;</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">        352 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -107, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            :     // initializations</a>
+<a name="113"><span class="lineNum">     113 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;neighbor_max, GrB_FP32, n)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;degree, GrB_FP32, n)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;new_members, GrB_BOOL, n)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;new_neighbors, GrB_BOOL, n)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;candidates, GrB_BOOL, n)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;empty, GrB_BOOL, n)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;Seed, GrB_UINT64, n)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;score, GrB_FP32, n)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_new (&amp;iset, GrB_BOOL, n)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :     // degree = (float) G-&gt;out_degree</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">        352 :     GRB_TRY (GrB_assign (degree, NULL, NULL, G-&gt;out_degree, GrB_ALL, n, NULL)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="130"><span class="lineNum">     130 </span>            :     // remove singletons (nodes of degree zero) and handle ignore_node</a>
+<a name="131"><span class="lineNum">     131 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">        352 :     GrB_Index nonsingletons = 0 ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_nvals (&amp;nonsingletons, degree)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">        352 :     if (nonsingletons == n)</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :     {</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">        160 :         if (ignore_node == NULL)</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :         {</a>
+<a name="139"><span class="lineNum">     139 </span>            :             // all nodes have degree 1 or more; all nodes are candidates</a>
+<a name="140"><span class="lineNum">     140 </span>            :             // candidates (0:n-1) = true</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (candidates, NULL, NULL, (bool) true, GrB_ALL,</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :                 n, NULL)) ;</a>
+<a name="143"><span class="lineNum">     143 </span>            :             // Seed vector starts out dense</a>
+<a name="144"><span class="lineNum">     144 </span>            :             // Seed (0:n-1) = 0</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (Seed, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :         }</a>
+<a name="147"><span class="lineNum">     147 </span>            :         else</a>
+<a name="148"><span class="lineNum">     148 </span>            :         {</a>
+<a name="149"><span class="lineNum">     149 </span>            :             // all nodes have degree 1 or more, but some nodes are to be</a>
+<a name="150"><span class="lineNum">     150 </span>            :             // ignored.  Use ignore_node as a valued mask.</a>
+<a name="151"><span class="lineNum">     151 </span>            :             // candidates&lt;!ignore_node&gt; = true</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (candidates, ignore_node, NULL, (bool) true,</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :                 GrB_ALL, n, GrB_DESC_C)) ;</a>
+<a name="154"><span class="lineNum">     154 </span>            :             // Seed vector starts out sparse</a>
+<a name="155"><span class="lineNum">     155 </span>            :             // Seed{candidates} = 0</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (Seed, candidates, NULL, 0, GrB_ALL, n,</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :                 GrB_DESC_S)) ;</a>
+<a name="158"><span class="lineNum">     158 </span>            :         }</a>
+<a name="159"><span class="lineNum">     159 </span>            :     }</a>
+<a name="160"><span class="lineNum">     160 </span>            :     else</a>
+<a name="161"><span class="lineNum">     161 </span>            :     {</a>
+<a name="162"><span class="lineNum">     162 </span>            :         // one or more singleton is present.</a>
+<a name="163"><span class="lineNum">     163 </span>            :         // candidates{degree} = 1</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        192 :         GRB_TRY (GrB_assign (candidates, degree, NULL, (bool) true,</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :             GrB_ALL, n, GrB_DESC_S)) ;</a>
+<a name="166"><span class="lineNum">     166 </span>            :         // add all singletons to iset</a>
+<a name="167"><span class="lineNum">     167 </span>            :         // iset{!degree} = 1</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">        192 :         GRB_TRY (GrB_assign (iset, degree, NULL, (bool) true, GrB_ALL, n,</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :             GrB_DESC_SC)) ;</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">        192 :         if (ignore_node != NULL)</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :         {</a>
+<a name="172"><span class="lineNum">     172 </span>            :             // one or more singletons are present, and some nodes are to be</a>
+<a name="173"><span class="lineNum">     173 </span>            :             // ignored.  The candidates are all those nodes with degree &gt; 0</a>
+<a name="174"><span class="lineNum">     174 </span>            :             // for which ignore_node(i) is false (or not present).  Delete</a>
+<a name="175"><span class="lineNum">     175 </span>            :             // any candidate i for which ignore_node(i) is true.  Use</a>
+<a name="176"><span class="lineNum">     176 </span>            :             // ignore_node as a valued mask.</a>
+<a name="177"><span class="lineNum">     177 </span>            :             // candidates&lt;ignore_node&gt; = empty</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (candidates, ignore_node, NULL, empty,</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :                 GrB_ALL, n, NULL)) ;</a>
+<a name="180"><span class="lineNum">     180 </span>            :             // Delete any ignored nodes from iset</a>
+<a name="181"><span class="lineNum">     181 </span>            :             // iset&lt;ignore_node&gt; = empty</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         80 :             GRB_TRY (GrB_assign (iset, ignore_node, NULL, empty,</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :                 GrB_ALL, n, NULL)) ;</a>
+<a name="184"><span class="lineNum">     184 </span>            :         }</a>
+<a name="185"><span class="lineNum">     185 </span>            :         // Seed vector starts out sparse</a>
+<a name="186"><span class="lineNum">     186 </span>            :         // Seed{candidates} = 0</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        192 :         GRB_TRY (GrB_assign (Seed, candidates, NULL, 0, GrB_ALL, n,</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             GrB_DESC_S)) ;</a>
+<a name="189"><span class="lineNum">     189 </span>            :     }</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :     // create the random number seeds</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        352 :     LG_TRY (LAGraph_Random_Seed (Seed, seed, msg)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="195"><span class="lineNum">     195 </span>            :     // iterate while there are candidates to check</a>
+<a name="196"><span class="lineNum">     196 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">        352 :     int nstall = 0 ;</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :     GrB_Index ncandidates ;</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">        352 :     GRB_TRY (GrB_Vector_nvals (&amp;ncandidates, candidates)) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">        352 :     GrB_Index last_ncandidates = ncandidates ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">        352 :     GrB_Index n1 = (GrB_Index) (0.04 * (double) n) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">        352 :     GrB_Index n2 = (GrB_Index) (0.10 * (double) n) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">       1362 :     while (ncandidates &gt; 0)</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     {</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // compute the score for each node; scale the Seed by degree</a>
+<a name="208"><span class="lineNum">     208 </span>            :         // score = (float) Seed</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">       1165 :         GRB_TRY (GrB_assign (score, NULL, NULL, Seed, GrB_ALL, n, NULL)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :         // score = score / degree</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_eWiseMult (score, NULL, NULL, GrB_DIV_FP32, score, degree,</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :             NULL)) ;</a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :         // compute the max score of all candidate neighbors (only candidates</a>
+<a name="215"><span class="lineNum">     215 </span>            :         // have a score, so non-candidate neighbors are excluded)</a>
+<a name="216"><span class="lineNum">     216 </span>            :         // neighbor_max{candidates,replace} = score * A</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_Vector_nvals (&amp;ncandidates, candidates)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">       1152 :         if (ncandidates &lt; n1)</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         {</a>
+<a name="220"><span class="lineNum">     220 </span>            :             // push</a>
+<a name="221"><span class="lineNum">     221 </span>            :             // neighbor_max'{candidates,replace} = score' * A</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         84 :             GRB_TRY (GrB_vxm (neighbor_max, candidates, NULL,</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :                 GrB_MAX_FIRST_SEMIRING_FP32, score, A, GrB_DESC_RS)) ;</a>
+<a name="224"><span class="lineNum">     224 </span>            :         }</a>
+<a name="225"><span class="lineNum">     225 </span>            :         else</a>
+<a name="226"><span class="lineNum">     226 </span>            :         {</a>
+<a name="227"><span class="lineNum">     227 </span>            :             // pull</a>
+<a name="228"><span class="lineNum">     228 </span>            :             // neighbor_max{candidates,replace} = A * score</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">       1068 :             GRB_TRY (GrB_mxv (neighbor_max, candidates, NULL,</span></a>
+<a name="230"><span class="lineNum">     230 </span>            :                 GrB_MAX_SECOND_SEMIRING_FP32, A, score, GrB_DESC_RS)) ;</a>
+<a name="231"><span class="lineNum">     231 </span>            :         }</a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :         // select node if its score is &gt; than all its active neighbors</a>
+<a name="234"><span class="lineNum">     234 </span>            :         // new_members = (score &gt; neighbor_max) using set union so that nodes</a>
+<a name="235"><span class="lineNum">     235 </span>            :         // with no neighbors fall through to the output, as true (since no</a>
+<a name="236"><span class="lineNum">     236 </span>            :         // score is equal to zero).</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_eWiseAdd (new_members, NULL, NULL, GrB_GT_FP32,</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :             score, neighbor_max, NULL)) ;</a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span>            :         // drop explicit zeros from new_members</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_select (new_members, NULL, NULL, GrB_VALUEEQ_BOOL,</span></a>
+<a name="242"><span class="lineNum">     242 </span>            :             new_members, (bool) true, NULL)) ;</a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :         // add new members to independent set</a>
+<a name="245"><span class="lineNum">     245 </span>            :         // iset{new_members} = true</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_assign (iset, new_members, NULL, (bool) true,</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :             GrB_ALL, n, GrB_DESC_S)) ;</a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span>            :         // remove new members from set of candidates</a>
+<a name="250"><span class="lineNum">     250 </span>            :         // candidates{new_members} = empty</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_assign (candidates, new_members, NULL, empty,</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :             GrB_ALL, n, GrB_DESC_S)) ;</a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :         // early exit if candidates is empty</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_Vector_nvals (&amp;ncandidates, candidates)) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">       1152 :         if (ncandidates == 0) { break ; }</span></a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            :         // Neighbors of new members can also be removed from candidates</a>
+<a name="259"><span class="lineNum">     259 </span>            :         // new_neighbors{candidates,replace} = new_members * A</a>
+<a name="260"><span class="lineNum">     260 </span>            :         GrB_Index n_new_members ;</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">       1023 :         GRB_TRY (GrB_Vector_nvals (&amp;n_new_members, new_members)) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">       1023 :         if (n_new_members &lt; n2)</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :         {</a>
+<a name="264"><span class="lineNum">     264 </span>            :             // push</a>
+<a name="265"><span class="lineNum">     265 </span>            :             // new_neighbors{candidates,replace} = new_members' * A</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">        388 :             GRB_TRY (GrB_vxm (new_neighbors, candidates, NULL,</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :                 LAGraph_any_one_bool, new_members, A, GrB_DESC_RS)) ;</a>
+<a name="268"><span class="lineNum">     268 </span>            :         }</a>
+<a name="269"><span class="lineNum">     269 </span>            :         else</a>
+<a name="270"><span class="lineNum">     270 </span>            :         {</a>
+<a name="271"><span class="lineNum">     271 </span>            :             // pull</a>
+<a name="272"><span class="lineNum">     272 </span>            :             // new_neighbors{candidates,replace} = A * new_members</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        635 :             GRB_TRY (GrB_mxv (new_neighbors, candidates, NULL,</span></a>
+<a name="274"><span class="lineNum">     274 </span>            :                 LAGraph_any_one_bool, A, new_members, GrB_DESC_RS)) ;</a>
+<a name="275"><span class="lineNum">     275 </span>            :         }</a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span>            :         // remove new neighbors of new members from set of candidates</a>
+<a name="278"><span class="lineNum">     278 </span>            :         // candidates{new_neighbors} = empty</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">       1023 :         GRB_TRY (GrB_assign (candidates, new_neighbors, NULL, empty,</span></a>
+<a name="280"><span class="lineNum">     280 </span>            :             GrB_ALL, n, GrB_DESC_S)) ;</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :         // sparsify the random number seeds (just keep it for each candidate)</a>
+<a name="283"><span class="lineNum">     283 </span>            :         // Seed{candidates,replace} = Seed</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">       1023 :         GRB_TRY (GrB_assign (Seed, candidates, NULL, Seed, GrB_ALL, n,</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :             GrB_DESC_RS)) ;</a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span>            :         // Check for stall (can only occur if the matrix has self-edges, or in</a>
+<a name="288"><span class="lineNum">     288 </span>            :         // the exceedingly rare case that 2 nodes have the exact same score).</a>
+<a name="289"><span class="lineNum">     289 </span>            :         // If the method happens to stall, with no nodes selected because</a>
+<a name="290"><span class="lineNum">     290 </span>            :         // the scores happen to tie, try again with another random score.</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">       1023 :         GRB_TRY (GrB_Vector_nvals (&amp;ncandidates, candidates)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">       1023 :         if (last_ncandidates == ncandidates)</span></a>
+<a name="293"><span class="lineNum">     293 </span>            :         {</a>
+<a name="294"><span class="lineNum">     294 </span>            :             // This case is nearly untestable since it can almost never occur.</a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        429 :             nstall++ ;</span></a>
+<a name="296"><span class="lineNum">     296 </span>            :             // terminate if the method has stalled too many times</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">        429 :             LG_ASSERT_MSG (nstall &lt;= 32, -111, &quot;stall&quot;) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span>            :             // recreate the random number seeds with a new starting seed</a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">        416 :             LG_TRY (LAGraph_Random_Seed (Seed, seed + nstall, msg)) ;</span></a>
+<a name="300"><span class="lineNum">     300 </span>            :         }</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">       1010 :         last_ncandidates = ncandidates ;</span></a>
+<a name="302"><span class="lineNum">     302 </span>            : </a>
+<a name="303"><span class="lineNum">     303 </span>            :         // get the next random Seed vector</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">       1010 :         LG_TRY (LAGraph_Random_Next (Seed, msg)) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span>            :     }</a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="308"><span class="lineNum">     308 </span>            :     // free workspace and return result</a>
+<a name="309"><span class="lineNum">     309 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="310"><span class="lineNum">     310 </span>            : </a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">        339 :     GRB_TRY (GrB_wait (iset, GrB_MATERIALIZE)) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">        339 :     (*mis) = iset ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">        339 :     LG_FREE_WORK ;</span></a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">        339 :     return (GrB_SUCCESS) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_SquareClustering.c.func-sort-c.html b/experimental/algorithm/LAGraph_SquareClustering.c.func-sort-c.html
new file mode 100644
index 0000000000..b293742986
--- /dev/null
+++ b/experimental/algorithm/LAGraph_SquareClustering.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_SquareClustering.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_SquareClustering.c<span style="font-size: 80%;"> (<a href="LAGraph_SquareClustering.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SquareClustering.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SquareClustering.c.gcov.html#95">LAGraph_SquareClustering</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
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+</html>
diff --git a/experimental/algorithm/LAGraph_SquareClustering.c.func.html b/experimental/algorithm/LAGraph_SquareClustering.c.func.html
new file mode 100644
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_SquareClustering.c - functions</title>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_SquareClustering.c<span style="font-size: 80%;"> (<a href="LAGraph_SquareClustering.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
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+      </td>
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+
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+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SquareClustering.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
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+    <tr>
+              <td class="coverFn"><a href="LAGraph_SquareClustering.c.gcov.html#95">LAGraph_SquareClustering</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
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+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_SquareClustering.c.gcov.html b/experimental/algorithm/LAGraph_SquareClustering.c.gcov.html
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,313 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_SquareClustering.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_SquareClustering.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SquareClustering.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SquareClustering: vertex square-clustering</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Erik Welch, NVIDIA.</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Compute the square clustering coefficient for each node of an undirected</a>
+<a name="19"><span class="lineNum">      19 </span>            : // graph, which is the fraction of possible squares that exist at each node.</a>
+<a name="20"><span class="lineNum">      20 </span>            : // It is a clustering coefficient suitable for bipartite graphs and is fully</a>
+<a name="21"><span class="lineNum">      21 </span>            : // described here:</a>
+<a name="22"><span class="lineNum">      22 </span>            : //      https://arxiv.org/pdf/0710.0117v1.pdf</a>
+<a name="23"><span class="lineNum">      23 </span>            : // which uses a different denominator than the original definition:</a>
+<a name="24"><span class="lineNum">      24 </span>            : //      https://arxiv.org/pdf/cond-mat/0504241.pdf</a>
+<a name="25"><span class="lineNum">      25 </span>            : // Furthermore, we count squares based on</a>
+<a name="26"><span class="lineNum">      26 </span>            : //      https://arxiv.org/pdf/2007.11111.pdf (sigma_12, c_4)</a>
+<a name="27"><span class="lineNum">      27 </span>            : // which is implemented in LAGraph_FastGraphletTransform.c (thanks Tim Davis</a>
+<a name="28"><span class="lineNum">      28 </span>            : // for mentioning this to me!).</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // The NetworkX implementation of square clustering was used heavily during</a>
+<a name="31"><span class="lineNum">      31 </span>            : // development.  I used it to determine the contributions to the denominator</a>
+<a name="32"><span class="lineNum">      32 </span>            : // and to verify correctness (including on larger graphs).</a>
+<a name="33"><span class="lineNum">      33 </span>            : //      https://networkx.org/documentation/stable/reference/algorithms/\</a>
+<a name="34"><span class="lineNum">      34 </span>            : //      generated/networkx.algorithms.cluster.square_clustering.html</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // Pseudocode (doesn't show dropping 0s in the final result):</a>
+<a name="37"><span class="lineNum">      37 </span>            : //</a>
+<a name="38"><span class="lineNum">      38 </span>            : //    P2(~degrees.diag().S) = plus_pair(A @ A.T)</a>
+<a name="39"><span class="lineNum">      39 </span>            : //    tri = first(P2 &amp; A).reduce_rowwise()</a>
+<a name="40"><span class="lineNum">      40 </span>            : //    squares = (P2 * (P2 - 1)).reduce_rowwise() / 2</a>
+<a name="41"><span class="lineNum">      41 </span>            : //    uw_count = degrees * (degrees - 1)</a>
+<a name="42"><span class="lineNum">      42 </span>            : //    uw_degrees = plus_times(A @ degrees) * (degrees - 1)</a>
+<a name="43"><span class="lineNum">      43 </span>            : //    square_clustering = squares / (uw_degrees - uw_count - tri - squares)</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : // The coefficient as described in https://arxiv.org/pdf/0710.0117v1.pdf</a>
+<a name="46"><span class="lineNum">      46 </span>            : // where m and n are different neighbors of node i.</a>
+<a name="47"><span class="lineNum">      47 </span>            : // Note that summations over mn are implied in the numerator and denominator:</a>
+<a name="48"><span class="lineNum">      48 </span>            : //</a>
+<a name="49"><span class="lineNum">      49 </span>            : //    C_{4,mn}(i) = q_imn / ((k_m - eta_imn) + (k_n - eta_imn) + q_imn)</a>
+<a name="50"><span class="lineNum">      50 </span>            : //    q_imn = # of common neighbors between m and n (i.e., squares)</a>
+<a name="51"><span class="lineNum">      51 </span>            : //    k_m = number of neighbors of m (i.e., degrees[m])</a>
+<a name="52"><span class="lineNum">      52 </span>            : //    eta_imn = 1 + q_imn + theta_mn</a>
+<a name="53"><span class="lineNum">      53 </span>            : //    theta_mn = 1 if m and n are connected, otherwise 0 (i.e., triangles)</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            : // Here are the corresponding terms between the equation and pseudocode:</a>
+<a name="56"><span class="lineNum">      56 </span>            : //    theta_mn          &lt;--&gt; tri</a>
+<a name="57"><span class="lineNum">      57 </span>            : //    q_imn             &lt;--&gt; squares</a>
+<a name="58"><span class="lineNum">      58 </span>            : //    eta_imn = 1 + ... &lt;--&gt; uw_count</a>
+<a name="59"><span class="lineNum">      59 </span>            : //    k_m               &lt;--&gt; uw_degrees</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : // I first implemented this in the Python library graphblas-algorithms</a>
+<a name="62"><span class="lineNum">      62 </span>            : //      https://github.com/python-graphblas/graphblas-algorithms/\</a>
+<a name="63"><span class="lineNum">      63 </span>            : //      blob/main/graphblas_algorithms/algorithms/cluster.py</a>
+<a name="64"><span class="lineNum">      64 </span>            : // and I copy/pasted C code generated from the Recorder in Python-graphblas</a>
+<a name="65"><span class="lineNum">      65 </span>            : //      https://github.com/python-graphblas/python-graphblas</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : // This implementation requires that `out_degree` property is already cached.</a>
+<a name="68"><span class="lineNum">      68 </span>            : // 0 values are omitted from the result (i.e., missing values &lt;--&gt; zero).</a>
+<a name="69"><span class="lineNum">      69 </span>            : // Also, it computes `P2 = A @ A.T`, which may be very large.  We could modify</a>
+<a name="70"><span class="lineNum">      70 </span>            : // the algorithm to compute coefficients for a subset of nodes, which would</a>
+<a name="71"><span class="lineNum">      71 </span>            : // allow expert users to compute in batches.  Also, since this algorithm only</a>
+<a name="72"><span class="lineNum">      72 </span>            : // operates on undirected or symmetric graphs, we only need to compute the</a>
+<a name="73"><span class="lineNum">      73 </span>            : // upper (or lower) triangle of P2, which should reduce memory by about half.</a>
+<a name="74"><span class="lineNum">      74 </span>            : // However, this is not easy to do, and would complicate the implementation.</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : //------------------------------------------------------------------------------</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : #define LG_FREE_WORK                \</a>
+<a name="79"><span class="lineNum">      79 </span>            : {                                   \</a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_free (&amp;squares) ;           \</a>
+<a name="81"><span class="lineNum">      81 </span>            :     GrB_free (&amp;denom) ;             \</a>
+<a name="82"><span class="lineNum">      82 </span>            :     GrB_free (&amp;neg_denom) ;         \</a>
+<a name="83"><span class="lineNum">      83 </span>            :     GrB_free (&amp;P2) ;                \</a>
+<a name="84"><span class="lineNum">      84 </span>            :     GrB_free (&amp;D) ;                 \</a>
+<a name="85"><span class="lineNum">      85 </span>            : }</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="88"><span class="lineNum">      88 </span>            : {                                   \</a>
+<a name="89"><span class="lineNum">      89 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="90"><span class="lineNum">      90 </span>            :     GrB_free (&amp;r) ;                 \</a>
+<a name="91"><span class="lineNum">      91 </span>            : }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="94"><span class="lineNum">      94 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="95"><span class="lineNum">      95 </span>            : #include &lt;LG_internal.h&gt;  // from src/utility</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 : int LAGraph_SquareClustering</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : (</a>
+<a name="99"><span class="lineNum">      99 </span>            :     // outputs:</a>
+<a name="100"><span class="lineNum">     100 </span>            :     GrB_Vector *square_clustering,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     // inputs:</a>
+<a name="102"><span class="lineNum">     102 </span>            :     LAGraph_Graph G,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     char *msg</a>
+<a name="104"><span class="lineNum">     104 </span>            : )</a>
+<a name="105"><span class="lineNum">     105 </span>            : {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     LG_CLEAR_MSG ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span>            :     // The number of squares each node is part of</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :     GrB_Vector squares = NULL ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     // Thought of as the total number of possible squares for each node</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     GrB_Vector denom = NULL ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     // Negative contributions to the denominator</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          1 :     GrB_Vector neg_denom = NULL ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     // Final result: the square coefficients for each node (squares / denom)</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     GrB_Vector r = NULL ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :     // out_degrees assigned to diagonal matrix</a>
+<a name="121"><span class="lineNum">     121 </span>            :     // Then used as triangles: first(P2 &amp; A)</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 :     GrB_Matrix D = NULL ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :     // P2 = plus_pair(A @ A.T).new(mask=~D.S)</a>
+<a name="125"><span class="lineNum">     125 </span>            :     // Then used as a temporary workspace matrix (int64)</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     GrB_Matrix P2 = NULL ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     GrB_Vector deg = G-&gt;out_degree ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     GrB_Index n = 0 ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            :     // check inputs</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     LG_ASSERT (square_clustering != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     (*square_clustering) = NULL ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     LG_ASSERT_MSG (deg != NULL,</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :         LAGRAPH_NOT_CACHED, &quot;G-&gt;out_degree is required&quot;) ;</a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="146"><span class="lineNum">     146 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="147"><span class="lineNum">     147 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="148"><span class="lineNum">     148 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // # of nodes</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :     // out_degrees as a diagonal matrix.</a>
+<a name="154"><span class="lineNum">     154 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="155"><span class="lineNum">     155 </span>            :         #if GxB_IMPLEMENTATION &gt;= GxB_VERSION (7,0,0)</a>
+<a name="156"><span class="lineNum">     156 </span>            :         // SuiteSparse 7.x and later:</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_diag(&amp;D, deg, 0)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :         #else</a>
+<a name="159"><span class="lineNum">     159 </span>            :         // SuiteSparse 6.x and earlier, which had the incorrect signature:</a>
+<a name="160"><span class="lineNum">     160 </span>            :         GRB_TRY (GrB_Matrix_new(&amp;D, GrB_INT64, n, n)) ;</a>
+<a name="161"><span class="lineNum">     161 </span>            :         GRB_TRY (GrB_Matrix_diag(D, deg, 0)) ;</a>
+<a name="162"><span class="lineNum">     162 </span>            :         #endif</a>
+<a name="163"><span class="lineNum">     163 </span>            :     #else</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // standard GrB:</a>
+<a name="165"><span class="lineNum">     165 </span>            :     GRB_TRY (GrB_Matrix_diag(&amp;D, deg, 0)) ;</a>
+<a name="166"><span class="lineNum">     166 </span>            :     #endif</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            :     // We use ~D.S as a mask so P2 won't have values along the diagonal.</a>
+<a name="169"><span class="lineNum">     169 </span>            :     //    P2(~D.S) = plus_pair(A @ A.T)</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_new (&amp;P2, GrB_INT64, n, n)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     GRB_TRY (GrB_mxm (P2, D, NULL, LAGraph_plus_one_int64, A, A, GrB_DESC_SCT1)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :     // Denominator is thought of as total number of squares that could exist.</a>
+<a name="174"><span class="lineNum">     174 </span>            :     // It has four terms (indicated below), and we use the definition from:</a>
+<a name="175"><span class="lineNum">     175 </span>            :     //      https://arxiv.org/pdf/0710.0117v1.pdf.</a>
+<a name="176"><span class="lineNum">     176 </span>            :     //</a>
+<a name="177"><span class="lineNum">     177 </span>            :     // (1) tri = first(P2 &amp; A).reduce_rowwise()</a>
+<a name="178"><span class="lineNum">     178 </span>            :     // Subtract 1 for each edge where u-w or w-u are connected.</a>
+<a name="179"><span class="lineNum">     179 </span>            :     // In other words, triangles.  Use P2, since we already have it.</a>
+<a name="180"><span class="lineNum">     180 </span>            :     //     D = first(P2 &amp; A)</a>
+<a name="181"><span class="lineNum">     181 </span>            :     //     neg_denom = D.reduce_rowwise()</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_eWiseMult_BinaryOp (D, NULL, NULL, GrB_FIRST_INT64, P2,</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :         A, NULL)) ;</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_new (&amp;neg_denom, GrB_INT64, n)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_reduce_Monoid (neg_denom, NULL, NULL,</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :         GrB_PLUS_MONOID_INT64, D, NULL)) ;</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     GrB_free (&amp;D) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span>            :     // squares = (P2 * (P2 - 1)).reduce_rowwise() / 2</a>
+<a name="190"><span class="lineNum">     190 </span>            :     // Now compute the number of squares (the numerator).  We count squares</a>
+<a name="191"><span class="lineNum">     191 </span>            :     // based on https://arxiv.org/pdf/2007.11111.pdf (sigma_12, c_4).</a>
+<a name="192"><span class="lineNum">     192 </span>            :     //     P2 *= P2 - 1</a>
+<a name="193"><span class="lineNum">     193 </span>            :     //     squares = P2.reduce_rowwise() / 2  (and drop zeros)</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_apply_BinaryOp2nd_INT64 (P2, NULL, GrB_TIMES_INT64,</span></a>
+<a name="195"><span class="lineNum">     195 </span>            :         GrB_MINUS_INT64, P2, 1, NULL)) ;</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_new (&amp;squares, GrB_INT64, n)) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_reduce_Monoid (squares, NULL, NULL,</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :         GrB_PLUS_MONOID_INT64, P2, NULL)) ;</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     GrB_free (&amp;P2) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     // Divide by 2, and use squares as value mask to drop zeros</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_apply_BinaryOp2nd_INT64 (squares, squares, NULL,</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :         GrB_DIV_INT64, squares, 2, GrB_DESC_R)) ;</a>
+<a name="203"><span class="lineNum">     203 </span>            : </a>
+<a name="204"><span class="lineNum">     204 </span>            :     // (2) uw_count = degrees * (degrees - 1).</a>
+<a name="205"><span class="lineNum">     205 </span>            :     // Subtract 1 for each u and 1 for each w for all combos.</a>
+<a name="206"><span class="lineNum">     206 </span>            :     //    denom(squares.S) = degrees - 1</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_new (&amp;denom, GrB_INT64, n)) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_apply_BinaryOp2nd_INT64(denom, squares, NULL,</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         GrB_MINUS_INT64, deg, 1, GrB_DESC_S)) ;</a>
+<a name="210"><span class="lineNum">     210 </span>            :     // neg_denom += degrees * (degrees - 1)</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_eWiseMult_BinaryOp(neg_denom, NULL, GrB_PLUS_INT64,</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :         GrB_TIMES_INT64, deg, denom, NULL)) ;</a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :     // (3) uw_degrees = plus_times(A @ degrees) * (degrees - 1).</a>
+<a name="215"><span class="lineNum">     215 </span>            :     // The main contribution to (and only positive term of) the denominator:</a>
+<a name="216"><span class="lineNum">     216 </span>            :     // degrees[u] + degrees[w] for each u-w combo.</a>
+<a name="217"><span class="lineNum">     217 </span>            :     // Recall that `denom = degrees - 1` from above.</a>
+<a name="218"><span class="lineNum">     218 </span>            :     //    denom(denom.S) *= plus_times(A @ deg)</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     GRB_TRY (GrB_mxv(denom, denom, GrB_TIMES_INT64,</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         GrB_PLUS_TIMES_SEMIRING_INT64, A, deg, GrB_DESC_S)) ;</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            :     // (4) squares.  Subtract the number of squares</a>
+<a name="223"><span class="lineNum">     223 </span>            :     //    denom -= neg_denom + squares</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_eWiseMult_BinaryOp(denom, NULL, GrB_MINUS_INT64,</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :         GrB_PLUS_INT64, neg_denom, squares, NULL)) ;</a>
+<a name="226"><span class="lineNum">     226 </span>            : </a>
+<a name="227"><span class="lineNum">     227 </span>            :     // square_clustering = squares / (uw_degrees - uw_count - tri - squares)</a>
+<a name="228"><span class="lineNum">     228 </span>            :     // Almost done!  Now compute the final result:</a>
+<a name="229"><span class="lineNum">     229 </span>            :     //    square_clustering = r = squares / denom</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_new (&amp;r, GrB_FP64, n)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Vector_eWiseMult_BinaryOp (r, NULL, NULL, GrB_DIV_FP64,</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :         squares, denom, NULL)) ;</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          1 :     (*square_clustering) = r ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     LG_FREE_WORK ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     return (GrB_SUCCESS) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func-sort-c.html b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func-sort-c.html
new file mode 100644
index 0000000000..96a04d99d0
--- /dev/null
+++ b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_VertexCentrality_Triangle.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_VertexCentrality_Triangle.c<span style="font-size: 80%;"> (<a href="LAGraph_VertexCentrality_Triangle.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_VertexCentrality_Triangle.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_VertexCentrality_Triangle.c.gcov.html#88">LAGraph_VertexCentrality_Triangle</a></td>
+              <td class="coverFnHi">49</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func.html b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func.html
new file mode 100644
index 0000000000..74d2c80463
--- /dev/null
+++ b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_VertexCentrality_Triangle.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_VertexCentrality_Triangle.c<span style="font-size: 80%;"> (<a href="LAGraph_VertexCentrality_Triangle.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_VertexCentrality_Triangle.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_VertexCentrality_Triangle.c.gcov.html#88">LAGraph_VertexCentrality_Triangle</a></td>
+              <td class="coverFnHi">49</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.gcov.html b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.gcov.html
new file mode 100644
index 0000000000..f09faeadac
--- /dev/null
+++ b/experimental/algorithm/LAGraph_VertexCentrality_Triangle.c.gcov.html
@@ -0,0 +1,394 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_VertexCentrality_Triangle.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_VertexCentrality_Triangle.c<span style="font-size: 80%;"> (source / <a href="LAGraph_VertexCentrality_Triangle.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntry">68</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_VertexCentrality_triangle: vertex triangle-centrality</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Tim Davis, Texas A&amp;M University.</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_VertexCentrality_Triangle: computes the TriangleCentrality of</a>
+<a name="19"><span class="lineNum">      19 </span>            : // an undirected graph.  No self edges are allowed on the input graph.</a>
+<a name="20"><span class="lineNum">      20 </span>            : // Methods 2 and 3 can tolerate any edge weights (they are ignored; only the</a>
+<a name="21"><span class="lineNum">      21 </span>            : // structure of G-&gt;A is used).  Methods 1 and 1.5 require unit edge weights</a>
+<a name="22"><span class="lineNum">      22 </span>            : // (this could be modified); results are undefined if this condition doesn't</a>
+<a name="23"><span class="lineNum">      23 </span>            : // hold.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // P. Burkhardt, &quot;Triangle centrality,&quot; https://arxiv.org/pdf/2105.00110.pdf,</a>
+<a name="26"><span class="lineNum">      26 </span>            : // April 2021.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // Method 3 is by far the fastest.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // This method uses pure GrB* methods from the v2.0 C API only.</a>
+<a name="31"><span class="lineNum">      31 </span>            : // It does not rely on any SuiteSparse:GraphBLAS extensions.</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : // TC0: in python (called TC1 in the first draft of the paper)</a>
+<a name="34"><span class="lineNum">      34 </span>            : //</a>
+<a name="35"><span class="lineNum">      35 </span>            : // def triangle_centrality1(A):</a>
+<a name="36"><span class="lineNum">      36 </span>            : //          T = A.mxm(A, mask=A)</a>
+<a name="37"><span class="lineNum">      37 </span>            : //          y = T.reduce_vector()</a>
+<a name="38"><span class="lineNum">      38 </span>            : //          k = y.reduce_float()</a>
+<a name="39"><span class="lineNum">      39 </span>            : //          return(1/k)*(3*(A @ y) - 2*(T @ y) + y)</a>
+<a name="40"><span class="lineNum">      40 </span>            : //          note: T@y is wrong. should be plus_second semiring</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : //  def TC1(A):</a>
+<a name="43"><span class="lineNum">      43 </span>            : //      # this was &quot;Method 1.5&quot; in a draft, note the T.one@y is now correct:</a>
+<a name="44"><span class="lineNum">      44 </span>            : //      T = A.mxm(A, mask=A, desc=ST1)</a>
+<a name="45"><span class="lineNum">      45 </span>            : //      y = T.reduce_vector()</a>
+<a name="46"><span class="lineNum">      46 </span>            : //      k = y.reduce_float()</a>
+<a name="47"><span class="lineNum">      47 </span>            : //      return (3 * (A @ y) - 2 * (T.one() @ y) + y) / k</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : //  def TC2(A):</a>
+<a name="50"><span class="lineNum">      50 </span>            : //      # this was TC2 in the first submission</a>
+<a name="51"><span class="lineNum">      51 </span>            : //      T = A.plus_pair(A, mask=A, desc=ST1)</a>
+<a name="52"><span class="lineNum">      52 </span>            : //      y = Vector.dense(FP64, A.nrows)</a>
+<a name="53"><span class="lineNum">      53 </span>            : //      T.reduce_vector(out=y, accum=FP64.plus)</a>
+<a name="54"><span class="lineNum">      54 </span>            : //      k = y.reduce_float()</a>
+<a name="55"><span class="lineNum">      55 </span>            : //      return (3 * A.plus_second(y) - 2 * T.plus_second(y) + y) / k</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : //  def TC3(A):</a>
+<a name="58"><span class="lineNum">      58 </span>            : //      M = A.tril(-1)</a>
+<a name="59"><span class="lineNum">      59 </span>            : //      T = A.plus_pair(A, mask=M, desc=ST1)</a>
+<a name="60"><span class="lineNum">      60 </span>            : //      y = T.reduce() + T.reduce(desc=ST0)</a>
+<a name="61"><span class="lineNum">      61 </span>            : //      k = y.reduce_float()</a>
+<a name="62"><span class="lineNum">      62 </span>            : //      return (</a>
+<a name="63"><span class="lineNum">      63 </span>            : //          3 * A.plus_second(y) -</a>
+<a name="64"><span class="lineNum">      64 </span>            : //          (2 * (T.plus_second(y) + T.plus_second(y, desc=ST0))) + y</a>
+<a name="65"><span class="lineNum">      65 </span>            : //      ) / k</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : //------------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : #define LG_FREE_WORK                \</a>
+<a name="70"><span class="lineNum">      70 </span>            : {                                   \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (&amp;T) ;                 \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_free (&amp;u) ;                 \</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_free (&amp;w) ;                 \</a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_free (&amp;y) ;                 \</a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_free (&amp;L) ;                 \</a>
+<a name="76"><span class="lineNum">      76 </span>            : }</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="79"><span class="lineNum">      79 </span>            : {                                   \</a>
+<a name="80"><span class="lineNum">      80 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="81"><span class="lineNum">      81 </span>            :     GrB_free (centrality) ;         \</a>
+<a name="82"><span class="lineNum">      82 </span>            : }</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            : //------------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : // LAGraph_VertexCentrality_Triangle: vertex triangle-centrality</a>
+<a name="88"><span class="lineNum">      88 </span>            : //------------------------------------------------------------------------------</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         49 : int LAGraph_VertexCentrality_Triangle       // vertex triangle-centrality</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : (</a>
+<a name="92"><span class="lineNum">      92 </span>            :     // outputs:</a>
+<a name="93"><span class="lineNum">      93 </span>            :     GrB_Vector *centrality,     // centrality(i): triangle centrality of i</a>
+<a name="94"><span class="lineNum">      94 </span>            :     uint64_t *ntriangles,       // # of triangles in the graph</a>
+<a name="95"><span class="lineNum">      95 </span>            :     // inputs:</a>
+<a name="96"><span class="lineNum">      96 </span>            :     int method,                 // 0, 1, 2, or 3</a>
+<a name="97"><span class="lineNum">      97 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="98"><span class="lineNum">      98 </span>            :     char *msg</a>
+<a name="99"><span class="lineNum">      99 </span>            : )</a>
+<a name="100"><span class="lineNum">     100 </span>            : {</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="103"><span class="lineNum">     103 </span>            :     // check inputs</a>
+<a name="104"><span class="lineNum">     104 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         49 :     LG_CLEAR_MSG ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         49 :     GrB_Matrix T = NULL, L = NULL, A = NULL ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         49 :     GrB_Vector y = NULL, u = NULL, w = NULL ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         49 :     LG_ASSERT (centrality != NULL &amp;&amp; ntriangles != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         48 :     (*centrality) = NULL ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         48 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         47 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         10 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         10 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     {</a>
+<a name="118"><span class="lineNum">     118 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         46 :         A = G-&gt;A ;</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :     }</a>
+<a name="121"><span class="lineNum">     121 </span>            :     else</a>
+<a name="122"><span class="lineNum">     122 </span>            :     {</a>
+<a name="123"><span class="lineNum">     123 </span>            :         // A is not known to be symmetric</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :     }</a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :     // no self edges can be present</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         46 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            :     // create the T matrix</a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span>            :     GrB_Index n ;</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         45 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         45 :     GRB_TRY (GrB_Matrix_new (&amp;T, GrB_FP64, n, n)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         45 :     double k = 0 ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            :     // compute the Triangle Centrality</a>
+<a name="141"><span class="lineNum">     141 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         45 :     if (method == 0 || method == 1)</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         27 :     {</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :         //----------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            :         // TC0, TC1: simplest method, requires that A has all entries equal to 1</a>
+<a name="148"><span class="lineNum">     148 </span>            :         //----------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :         // todo: remove this method when moving this code from experimental/</a>
+<a name="151"><span class="lineNum">     151 </span>            :         // to src/</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         27 :         if (method == 0)</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :         {</a>
+<a name="155"><span class="lineNum">     155 </span>            :             // T&lt;A&gt; = A*A : method 0 (was TC1 in the first paper submission)</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         18 :             GRB_TRY (GrB_mxm (T, A, NULL, GrB_PLUS_TIMES_SEMIRING_FP64, A, A,</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :                 NULL)) ;</a>
+<a name="158"><span class="lineNum">     158 </span>            :         }</a>
+<a name="159"><span class="lineNum">     159 </span>            :         else</a>
+<a name="160"><span class="lineNum">     160 </span>            :         {</a>
+<a name="161"><span class="lineNum">     161 </span>            :             // this is faster than method 0</a>
+<a name="162"><span class="lineNum">     162 </span>            :             // T&lt;A&gt; = A*A' : method TC1 (was method TC1.5)</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          9 :             GRB_TRY (GrB_mxm (T, A, NULL, GrB_PLUS_TIMES_SEMIRING_FP64, A, A,</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :                 GrB_DESC_T1)) ;</a>
+<a name="165"><span class="lineNum">     165 </span>            :         }</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span>            :         // y = sum (T), where y(i) = sum (T (i,:)) and y(i)=0 of T(i,:) is empty</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         27 :         GRB_TRY (GrB_Vector_new (&amp;y, GrB_FP64, n)) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         27 :         GRB_TRY (GrB_reduce (y, NULL, NULL, GrB_PLUS_MONOID_FP64, T, NULL)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :         // k = sum (y)</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         27 :         GRB_TRY (GrB_reduce (&amp;k, NULL, GrB_PLUS_MONOID_FP64, y, NULL)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :         // T = spones (T)</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         27 :         GRB_TRY (GrB_assign (T, T, NULL, (double) 1, GrB_ALL, n, GrB_ALL, n,</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :             GrB_DESC_S)) ;</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            :         // centrality = (3*A*y - 2*T*y + y) / k</a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span>            :         // w = T*y</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         27 :         GRB_TRY (GrB_Vector_new (&amp;w, GrB_FP64, n)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         27 :         GRB_TRY (GrB_mxv (w, NULL, NULL, GrB_PLUS_TIMES_SEMIRING_FP64, T, y,</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :             NULL)) ;</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            :         // w = (-2)*w</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         27 :         double minus_two = -2 ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         27 :         GRB_TRY (GrB_apply (w, NULL, NULL, GrB_TIMES_FP64, minus_two, w,</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             NULL)) ;</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :         // u = A*y</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">         27 :         GRB_TRY (GrB_Vector_new (&amp;u, GrB_FP64, n)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         27 :         GRB_TRY (GrB_mxv (u, NULL, NULL, GrB_PLUS_TIMES_SEMIRING_FP64, A, y,</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :             NULL)) ;</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :     }</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">         18 :     else if (method == 2)</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :     {</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :         //----------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            :         // TC2: using LAGraph_plus_one_fp64 semiring</a>
+<a name="201"><span class="lineNum">     201 </span>            :         //----------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            :         // todo: remove this method when moving this code from experimental/</a>
+<a name="204"><span class="lineNum">     204 </span>            :         // to src/</a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         // T{A} = A*A' (each triangle is seen 6 times)</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxm (T, A, NULL, LAGraph_plus_one_fp64, A, A,</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :             GrB_DESC_ST1)) ;</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span>            :         // y = sum (T), where y(i) = sum (T (i,:)) and y(i)=0 of T(i,:) is empty</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;y, GrB_FP64, n)) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          9 :         GRB_TRY (GrB_assign (y, NULL, NULL, ((double) 0), GrB_ALL, n, NULL)) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          9 :         GRB_TRY (GrB_reduce (y, NULL, GrB_PLUS_FP64, GrB_PLUS_MONOID_FP64, T,</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :             NULL)) ;</a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :         // k = sum (y)</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          9 :         GRB_TRY (GrB_reduce (&amp;k, NULL, GrB_PLUS_MONOID_FP64, y, NULL)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span>            :         // centrality = (3*A*y - 2*T*y + y) / k</a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span>            :         // w = T*y</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;w, GrB_FP64, n)) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxv (w, NULL, NULL, LAGraph_plus_second_fp64, T, y,</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :             NULL)) ;</a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span>            :         // w = (-2)*w</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          9 :         double minus_two = -2 ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          9 :         GRB_TRY (GrB_apply (w, NULL, NULL, GrB_TIMES_FP64, minus_two, w,</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :             NULL)) ;</a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span>            :         // u = A*y</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;u, GrB_FP64, n)) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxv (u, NULL, NULL, LAGraph_plus_second_fp64, A, y,</span></a>
+<a name="234"><span class="lineNum">     234 </span>            :             NULL)) ;</a>
+<a name="235"><span class="lineNum">     235 </span>            : </a>
+<a name="236"><span class="lineNum">     236 </span>            :     }</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          9 :     else if (method == 3)</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :     {</a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span>            :         //----------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            :         // TC3: using tril.  This is the fastest method.</a>
+<a name="242"><span class="lineNum">     242 </span>            :         //----------------------------------------------------------------------</a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :         // todo: When this method is moved to src/, keep this method only.</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            :         // L = tril (A,-1)</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Matrix_new (&amp;L, GrB_FP64, n, n)) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          9 :         GRB_TRY (GrB_select (L, NULL, NULL, GrB_TRIL, A, (int64_t) (-1),</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :             NULL)) ;</a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span>            :         // T{L}= A*A' (each triangle is seen 3 times; T is lower triangular)</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxm (T, L, NULL, LAGraph_plus_one_fp64, A, A,</span></a>
+<a name="253"><span class="lineNum">     253 </span>            :             GrB_DESC_ST1)) ;</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          9 :         GRB_TRY (GrB_free (&amp;L)) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            :         // y = sum (T'), where y(j) = sum (T (:,j)) and y(j)=0 if T(:,j) empty</a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;y, GrB_FP64, n)) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          9 :         GRB_TRY (GrB_assign (y, NULL, NULL, ((double) 0), GrB_ALL, n, NULL)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          9 :         GRB_TRY (GrB_reduce (y, NULL, GrB_PLUS_FP64, GrB_PLUS_MONOID_FP64, T,</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="261"><span class="lineNum">     261 </span>            :         // y += sum (T)</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          9 :         GRB_TRY (GrB_reduce (y, NULL, GrB_PLUS_FP64, GrB_PLUS_MONOID_FP64, T,</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :             NULL)) ;</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span>            :         // k = sum (y).  y is the same as the other methods, above, just</a>
+<a name="266"><span class="lineNum">     266 </span>            :         // computed using the lower triangular matrix T.  So k/6 is the total</a>
+<a name="267"><span class="lineNum">     267 </span>            :         // number of triangles in the graph.</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          9 :         GRB_TRY (GrB_reduce (&amp;k, NULL, GrB_PLUS_MONOID_FP64, y, NULL)) ;</span></a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span>            :         // centrality = (3*A*y - 2* (T*y + T'*y) + y) / k</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span>            :         // w = T*y</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;w, GrB_FP64, n)) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxv (w, NULL, NULL, LAGraph_plus_second_fp64, T, y,</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :             NULL)) ;</a>
+<a name="276"><span class="lineNum">     276 </span>            :         // w += T'*y</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxv (w, NULL, GrB_PLUS_FP64, LAGraph_plus_second_fp64,</span></a>
+<a name="278"><span class="lineNum">     278 </span>            :             T, y, GrB_DESC_T0)) ;</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            :         // w = (-2)*w</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          9 :         double minus_two = -2 ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          9 :         GRB_TRY (GrB_apply (w, NULL, NULL, GrB_TIMES_FP64, minus_two, w,</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :             NULL)) ;</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :         // u = A*y</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_new (&amp;u, GrB_FP64, n)) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          9 :         GRB_TRY (GrB_mxv (u, NULL, NULL, LAGraph_plus_second_fp64, A, y,</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :             NULL)) ;</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            :     }</a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="293"><span class="lineNum">     293 </span>            :     // centrality = (3*u + w + y) / k for all 4 methods</a>
+<a name="294"><span class="lineNum">     294 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span>            :     // centrality = 3*u</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">         45 :     GRB_TRY (GrB_Vector_new (centrality, GrB_FP64, n)) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">         45 :     const double three = 3 ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">         45 :     GRB_TRY (GrB_apply (*centrality, NULL, NULL, GrB_TIMES_FP64, three, u,</span></a>
+<a name="300"><span class="lineNum">     300 </span>            :         NULL)) ;</a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span>            :     // centrality += (w + y)</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">         45 :     GRB_TRY (GrB_eWiseAdd (*centrality, NULL, GrB_PLUS_FP64, GrB_PLUS_FP64,</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :         w, y, NULL)) ;</a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span>            :     // centrality = centrality / k</a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">         45 :     GRB_TRY (GrB_apply (*centrality, NULL, NULL, GrB_TIMES_FP64,</span></a>
+<a name="308"><span class="lineNum">     308 </span>            :         ((k == 0) ? 1.0 : (1.0/k)), *centrality, NULL)) ;</a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         45 :     (*ntriangles) = (uint64_t) (k/6) ;     // # triangles is k/6 for all methods</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="313"><span class="lineNum">     313 </span>            :     // free workspace and return result</a>
+<a name="314"><span class="lineNum">     314 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="315"><span class="lineNum">     315 </span>            : </a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">         45 :     LG_FREE_WORK ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">         45 :     return (GrB_SUCCESS) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_cc_lacc.c.func-sort-c.html b/experimental/algorithm/LAGraph_cc_lacc.c.func-sort-c.html
new file mode 100644
index 0000000000..f61783581b
--- /dev/null
+++ b/experimental/algorithm/LAGraph_cc_lacc.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cc_lacc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cc_lacc.c<span style="font-size: 80%;"> (<a href="LAGraph_cc_lacc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_cc_lacc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cc_lacc.c.gcov.html#67">LAGraph_cc_lacc</a></td>
+              <td class="coverFnHi">36</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cc_lacc.c.gcov.html#45">Reduce_assign</a></td>
+              <td class="coverFnHi">188</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_cc_lacc.c.func.html b/experimental/algorithm/LAGraph_cc_lacc.c.func.html
new file mode 100644
index 0000000000..70734400d2
--- /dev/null
+++ b/experimental/algorithm/LAGraph_cc_lacc.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cc_lacc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cc_lacc.c<span style="font-size: 80%;"> (<a href="LAGraph_cc_lacc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_cc_lacc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cc_lacc.c.gcov.html#67">LAGraph_cc_lacc</a></td>
+              <td class="coverFnHi">36</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cc_lacc.c.gcov.html#45">Reduce_assign</a></td>
+              <td class="coverFnHi">188</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_cc_lacc.c.gcov.html b/experimental/algorithm/LAGraph_cc_lacc.c.gcov.html
new file mode 100644
index 0000000000..b48a5b607d
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@@ -0,0 +1,306 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cc_lacc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cc_lacc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_cc_lacc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntry">110</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_cc_lacc.c</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott McMillan, SEI, Carnegie Mellon University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : /**</a>
+<a name="19"><span class="lineNum">      19 </span>            :  * Code is based on the algorithm described in the following paper Azad, Buluc;</a>
+<a name="20"><span class="lineNum">      20 </span>            :  * LACC: a linear-algebraic algorithm for finding connected components in</a>
+<a name="21"><span class="lineNum">      21 </span>            :  * distributed memory (IPDPS 2019)</a>
+<a name="22"><span class="lineNum">      22 </span>            :  **/</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #define LG_FREE_ALL         \</a>
+<a name="25"><span class="lineNum">      25 </span>            : {                           \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     free(I);                \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     free(V);                \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_free (&amp;S2) ;        \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (&amp;stars);      \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_free (&amp;mask);       \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (&amp;parents);    \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_free (&amp;gp);         \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     GrB_free (&amp;mnp);        \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     GrB_free (&amp;hookMNP);    \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;hookP);      \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;pNonstars);  \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;tmp);        \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;nsgp);       \</a>
+<a name="39"><span class="lineNum">      39 </span>            : }</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="42"><span class="lineNum">      42 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="43"><span class="lineNum">      43 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //****************************************************************************</a>
+<a name="46"><span class="lineNum">      46 </span>            : // mask = NULL, accumulator = GrB_MIN_UINT64, descriptor = NULL</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        188 : static GrB_Info Reduce_assign (GrB_Vector w,</span></a>
+<a name="48"><span class="lineNum">      48 </span>            :                                GrB_Vector src,</a>
+<a name="49"><span class="lineNum">      49 </span>            :                                GrB_Index *index,</a>
+<a name="50"><span class="lineNum">      50 </span>            :                                GrB_Index nLocs)</a>
+<a name="51"><span class="lineNum">      51 </span>            : {</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_Index nw, ns;</a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        188 :     GrB_Vector_nvals(&amp;nw, w);</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        188 :     GrB_Vector_nvals(&amp;ns, src);</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        188 :     GrB_Index *mem = (GrB_Index*) malloc(sizeof(GrB_Index) * nw * 3);</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        188 :     GrB_Index *ind = mem, *sval = mem + nw, *wval = sval + nw;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        188 :     GrB_Vector_extractTuples(ind, wval, &amp;nw, w);</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        188 :     GrB_Vector_extractTuples(ind, sval, &amp;ns, src);</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">      10346 :     for (GrB_Index i = 0; i &lt; nLocs; i++)</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">      10158 :         if (sval[i] &lt; wval[index[i]])</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">       9486 :             wval[index[i]] = sval[i];</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        188 :     GrB_Vector_clear(w);</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        188 :     GrB_Vector_build(w, ind, wval, nw, GrB_PLUS_UINT64);</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        188 :     free(mem);</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        188 :     return GrB_SUCCESS;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : }</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            : //****************************************************************************</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         36 : int LAGraph_cc_lacc</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : (</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_Vector *result,     // output: array of component identifiers</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_Matrix A,           // input matrix</a>
+<a name="73"><span class="lineNum">      73 </span>            :     bool sanitize,          // if true, ensure A is symmetric</a>
+<a name="74"><span class="lineNum">      74 </span>            :     char *msg</a>
+<a name="75"><span class="lineNum">      75 </span>            : )</a>
+<a name="76"><span class="lineNum">      76 </span>            : {</a>
+<a name="77"><span class="lineNum">      77 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            :     // check inputs</a>
+<a name="79"><span class="lineNum">      79 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         36 :     LG_CLEAR_MSG ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         36 :     if (result == NULL)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         12 :         return (GrB_NULL_POINTER) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :     }</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     GrB_Info info;</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         24 :     GrB_Vector stars = NULL, mask = NULL;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         24 :     GrB_Vector parents = NULL, gp = NULL, mnp = NULL;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         24 :     GrB_Vector hookMNP = NULL, hookP = NULL;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         24 :     GrB_Vector tmp = NULL, pNonstars = NULL, nsgp = NULL; // temporary</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         24 :     GrB_Index *I = NULL;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         24 :     GrB_Index *V = NULL;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         24 :     GrB_Matrix S = NULL, S2 = NULL ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     GrB_Index n ;</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     //GrB_Index nnz ;</a>
+<a name="100"><span class="lineNum">     100 </span>            :     //GRB_TRY (GrB_Matrix_nvals (&amp;nnz, A)) ;</a>
+<a name="101"><span class="lineNum">     101 </span>            :     //printf (&quot;number of nodes: %g\n&quot;, (double) n) ;</a>
+<a name="102"><span class="lineNum">     102 </span>            :     //printf (&quot;number of edges: %g\n&quot;, (double) nnz) ;</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         24 :     if (sanitize)</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         12 :         GRB_TRY (GrB_Matrix_new (&amp;S2, GrB_BOOL, n, n)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         12 :         GRB_TRY (GrB_eWiseAdd (S2, NULL, NULL, GrB_LOR, A, A, GrB_DESC_T1)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         12 :         S = S2 ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     }</a>
+<a name="110"><span class="lineNum">     110 </span>            :     else</a>
+<a name="111"><span class="lineNum">     111 </span>            :     {</a>
+<a name="112"><span class="lineNum">     112 </span>            :         // Use the input as-is, and assume it is binary and symmetric</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         12 :         S = A ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :     // vectors</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;stars, GrB_BOOL, n));</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;mask, GrB_BOOL, n));</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;parents, GrB_UINT64, n));</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;gp, GrB_UINT64, n));</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;hookMNP, GrB_UINT64, n));</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;hookP, GrB_UINT64, n));</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;pNonstars, GrB_UINT64, n));</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     // temporary arrays</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         24 :     I = malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         24 :     V = malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     // prepare the vectors</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">      16284 :     for (GrB_Index i = 0 ; i &lt; n ; i++)</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">      16260 :         I[i] = V[i] = i;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_build (parents, I, V, n, GrB_PLUS_UINT64));</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_dup (&amp;mnp, parents));</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         24 :     GRB_TRY (GrB_assign (stars, 0, 0, true, GrB_ALL, 0, 0)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            :     // main computation</a>
+<a name="137"><span class="lineNum">     137 </span>            :     GrB_Index nHooks, nStars, nNonstars;</a>
+<a name="138"><span class="lineNum">     138 </span>            :     while (true) {</a>
+<a name="139"><span class="lineNum">     139 </span>            :         // ---------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            :         // CondHook(A, parents, stars);</a>
+<a name="141"><span class="lineNum">     141 </span>            :         // ---------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         94 :         GRB_TRY (GrB_mxv (mnp, 0, 0, GrB_MIN_SECOND_SEMIRING_UINT64,</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :                              S, parents, 0));</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_clear (mask));</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         94 :         GRB_TRY (GrB_eWiseMult(mask, stars, 0, GrB_LT_UINT64, mnp, parents, 0));</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (hookMNP, mask, 0, mnp, GrB_ALL, n, 0));</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         94 :         GRB_TRY (GrB_eWiseMult (hookP, 0, 0, GrB_SECOND_UINT64, hookMNP, parents, 0));</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_clear (mnp));</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_nvals (&amp;nHooks, hookP));</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;nHooks, hookP));</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_new (&amp;tmp, GrB_UINT64, nHooks));</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         94 :         GRB_TRY (GrB_extract (tmp, 0, 0, hookMNP, I, nHooks, 0));</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         94 :         LG_TRY (Reduce_assign (parents, tmp, V, nHooks));</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_clear (tmp));</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :         // modify the stars vector</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (stars, 0, 0, false, V, nHooks, 0));</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         94 :         GRB_TRY (GrB_extract (tmp, 0, 0, parents, V, nHooks, 0)); // extract modified parents</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;nHooks, tmp));</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (stars, 0, 0, false, V, nHooks, 0));</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, parents));</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         94 :         GRB_TRY (GrB_extract (mask, 0, 0, stars, V, n, 0));</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (stars, 0, GrB_LAND, mask, GrB_ALL, 0, 0));</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :         // clean up</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_clear (hookMNP));</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_clear (hookP));</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         94 :         GRB_TRY (GrB_free (&amp;tmp));</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :         // ---------------------------------------------------------</a>
+<a name="168"><span class="lineNum">     168 </span>            :         // UnCondHook(A, parents, stars);</a>
+<a name="169"><span class="lineNum">     169 </span>            :         // ---------------------------------------------------------</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (pNonstars, 0, 0, parents, GrB_ALL, 0, 0));</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (pNonstars, stars, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         94 :         GRB_TRY (GrB_mxv (hookMNP, stars, 0, GrB_MIN_SECOND_SEMIRING_UINT64,</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :                              S, pNonstars, 0));</a>
+<a name="174"><span class="lineNum">     174 </span>            :         // select the valid elemenets (&lt;n) of hookMNP</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (pNonstars, 0, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         94 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_LT_UINT64, hookMNP, pNonstars, 0));</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         94 :         GRB_TRY (GrB_eWiseMult (hookP, mask, 0, GrB_SECOND_UINT64, hookMNP, parents, 0));</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_nvals (&amp;nHooks, hookP));</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;nHooks, hookP));</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_new (&amp;tmp, GrB_UINT64, nHooks));</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         94 :         GRB_TRY (GrB_extract (tmp, 0, 0, hookMNP, I, nHooks, 0));</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (parents, 0, 0, n, V, nHooks, 0)); // !!</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         94 :         LG_TRY (Reduce_assign (parents, tmp, V, nHooks));</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :         // modify the star vector</a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (stars, 0, 0, false, V, nHooks, 0));</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         94 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, parents));</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         94 :         GRB_TRY (GrB_extract (mask, 0, 0, stars, V, n, 0));</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         94 :         GRB_TRY (GrB_assign (stars, 0, GrB_LAND, mask, GrB_ALL, 0, 0));</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :         // check termination</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         94 :         GRB_TRY (GrB_reduce (&amp;nStars, 0, GrB_PLUS_MONOID_UINT64, stars, 0));</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">         94 :         if (nStars == n) break;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            :         // clean up</a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_clear(hookMNP));</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_clear(hookP));</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_clear(pNonstars));</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">         70 :         GRB_TRY (GrB_free (&amp;tmp));</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :         // ---------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            :         // Shortcut(parents);</a>
+<a name="199"><span class="lineNum">     199 </span>            :         // ---------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, parents));</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         70 :         GRB_TRY (GrB_extract (gp, 0, 0, parents, V, n, 0));</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (parents, 0, 0, gp, GrB_ALL, 0, 0));</span></a>
+<a name="203"><span class="lineNum">     203 </span>            :         // ---------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            :         // StarCheck(parents, stars);</a>
+<a name="205"><span class="lineNum">     205 </span>            :         // ---------------------------------------------------------</a>
+<a name="206"><span class="lineNum">     206 </span>            :         // calculate grandparents</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, parents));</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         70 :         GRB_TRY (GrB_extract (gp, 0, 0, parents, V, n, 0));</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         // identify vertices whose parent and grandparent are different</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         70 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_NE_UINT64, gp, parents, 0));</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_new (&amp;nsgp, GrB_UINT64, n));</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (nsgp, mask, 0, gp, GrB_ALL, 0, 0));</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :         // extract indices and values for assign</a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_nvals (&amp;nNonstars, nsgp));</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;nNonstars, nsgp));</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         70 :         GRB_TRY (GrB_free (&amp;nsgp));</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (stars, 0, 0, true, GrB_ALL, 0, 0));</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (stars, 0, 0, false, I, nNonstars, 0));</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (stars, 0, 0, false, V, nNonstars, 0));</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         // extract indices and values for assign</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">         70 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, parents));</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         70 :         GRB_TRY (GrB_extract (mask, 0, 0, stars, V, n, 0));</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         70 :         GRB_TRY (GrB_assign (stars, 0, GrB_LAND, mask, GrB_ALL, 0, 0));</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :     }</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         24 :     *result = parents;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         24 :     parents = NULL ;        // return parents (set to NULL so it isn't freed)</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         24 :     LG_FREE_ALL;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         24 :     return GrB_SUCCESS;</span></a>
+<a name="230"><span class="lineNum">     230 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
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+</html>
diff --git a/experimental/algorithm/LAGraph_cdlp.c.func-sort-c.html b/experimental/algorithm/LAGraph_cdlp.c.func-sort-c.html
new file mode 100644
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cdlp.c - functions</title>
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+<body>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cdlp.c<span style="font-size: 80%;"> (<a href="LAGraph_cdlp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_cdlp.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cdlp.c.gcov.html#141">LAGraph_cdlp</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_cdlp.c.func.html b/experimental/algorithm/LAGraph_cdlp.c.func.html
new file mode 100644
index 0000000000..d97bb9cc27
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+++ b/experimental/algorithm/LAGraph_cdlp.c.func.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cdlp.c - functions</title>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cdlp.c<span style="font-size: 80%;"> (<a href="LAGraph_cdlp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_cdlp.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_cdlp.c.gcov.html#141">LAGraph_cdlp</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/experimental/algorithm/LAGraph_cdlp.c.gcov.html b/experimental/algorithm/LAGraph_cdlp.c.gcov.html
new file mode 100644
index 0000000000..1ebe689dd1
--- /dev/null
+++ b/experimental/algorithm/LAGraph_cdlp.c.gcov.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_cdlp.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_cdlp.c<span style="font-size: 80%;"> (source / <a href="LAGraph_cdlp.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntry">93</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_cdlp: community detection using label propagation</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Gabor Szarnyas and Balint Hegyi, Budapest University of</a>
+<a name="15"><span class="lineNum">      15 </span>            : // Technology and Economics (with accented characters: G\'{a}bor Sz\'{a}rnyas</a>
+<a name="16"><span class="lineNum">      16 </span>            : // and B\'{a}lint Hegyi, using LaTeX syntax).</a>
+<a name="17"><span class="lineNum">      17 </span>            : // https://inf.mit.bme.hu/en/members/szarnyasg .</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : //------------------------------------------------------------------------------</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // ## Background</a>
+<a name="22"><span class="lineNum">      22 </span>            : //</a>
+<a name="23"><span class="lineNum">      23 </span>            : // This function was originally written for the LDBC Graphalytics benchmark.</a>
+<a name="24"><span class="lineNum">      24 </span>            : //</a>
+<a name="25"><span class="lineNum">      25 </span>            : // The community detection using label propagation (CDLP) algorithm is</a>
+<a name="26"><span class="lineNum">      26 </span>            : // defined both for directed and undirected graphs.</a>
+<a name="27"><span class="lineNum">      27 </span>            : //</a>
+<a name="28"><span class="lineNum">      28 </span>            : // The definition implemented here is described in the following document:</a>
+<a name="29"><span class="lineNum">      29 </span>            : // https://ldbc.github.io/ldbc_graphalytics_docs/graphalytics_spec.pdf</a>
+<a name="30"><span class="lineNum">      30 </span>            : //</a>
+<a name="31"><span class="lineNum">      31 </span>            : // The algorithm is based on the one given in the following paper:</a>
+<a name="32"><span class="lineNum">      32 </span>            : //</a>
+<a name="33"><span class="lineNum">      33 </span>            : // Usha Raghavan, Reka Albert, and Soundar Kumara. &quot;Near linear time algorithm</a>
+<a name="34"><span class="lineNum">      34 </span>            : // to detect community structures in large-scale networks&quot;. In: Physical</a>
+<a name="35"><span class="lineNum">      35 </span>            : // Review E 76.3 (2007), p. 036106, https://arxiv.org/abs/0709.2938</a>
+<a name="36"><span class="lineNum">      36 </span>            : //</a>
+<a name="37"><span class="lineNum">      37 </span>            : // The key idea of the algorithm is that each vertex is assigned the label</a>
+<a name="38"><span class="lineNum">      38 </span>            : // that is most frequent among its neighbors. To allow reproducible</a>
+<a name="39"><span class="lineNum">      39 </span>            : // experiments, the algorithm is modified to guarantee deterministic behavior:</a>
+<a name="40"><span class="lineNum">      40 </span>            : // it always picks the smallest label in case of a tie:</a>
+<a name="41"><span class="lineNum">      41 </span>            : //</a>
+<a name="42"><span class="lineNum">      42 </span>            : // min ( argmax_{l} (#neighbors with label l) )</a>
+<a name="43"><span class="lineNum">      43 </span>            : //</a>
+<a name="44"><span class="lineNum">      44 </span>            : // In other words, we need to compute the *minimum mode value* (minmode) for</a>
+<a name="45"><span class="lineNum">      45 </span>            : // the labels among the neighbors.</a>
+<a name="46"><span class="lineNum">      46 </span>            : //</a>
+<a name="47"><span class="lineNum">      47 </span>            : // For directed graphs, a label on a neighbor that is connected through both</a>
+<a name="48"><span class="lineNum">      48 </span>            : // an outgoing and on an incoming edge counts twice:</a>
+<a name="49"><span class="lineNum">      49 </span>            : //</a>
+<a name="50"><span class="lineNum">      50 </span>            : // min ( argmax_{l} (#incoming neighbors with l + #outgoing neighbors with l) )</a>
+<a name="51"><span class="lineNum">      51 </span>            : //</a>
+<a name="52"><span class="lineNum">      52 </span>            : // ## Example (undirected)</a>
+<a name="53"><span class="lineNum">      53 </span>            : //</a>
+<a name="54"><span class="lineNum">      54 </span>            : // For an example, let's assume an undirected graph where vertex 1 has four</a>
+<a name="55"><span class="lineNum">      55 </span>            : // neighbors {2, 3, 4, 5}, and the current labels in the graph are</a>
+<a name="56"><span class="lineNum">      56 </span>            : // L = [3, 5, 4, 5, 4].</a>
+<a name="57"><span class="lineNum">      57 </span>            : //</a>
+<a name="58"><span class="lineNum">      58 </span>            : // In this example, the distribution of labels among the neighbors of vertex 1</a>
+<a name="59"><span class="lineNum">      59 </span>            : // is {4 =&gt; 2, 5 =&gt; 2}, therefore, the minimum mode value is 4.</a>
+<a name="60"><span class="lineNum">      60 </span>            : //</a>
+<a name="61"><span class="lineNum">      61 </span>            : // Next, we capture this operation using GraphBLAS operations and</a>
+<a name="62"><span class="lineNum">      62 </span>            : // data structures. Notice that the neighbors of vertex 1 are encoded</a>
+<a name="63"><span class="lineNum">      63 </span>            : // as a sparse vector in the adjacency matrix:</a>
+<a name="64"><span class="lineNum">      64 </span>            : //</a>
+<a name="65"><span class="lineNum">      65 </span>            : // A = | 0 1 1 1 1 |</a>
+<a name="66"><span class="lineNum">      66 </span>            : //     | 1 . . .   |</a>
+<a name="67"><span class="lineNum">      67 </span>            : //     | 1 .       |</a>
+<a name="68"><span class="lineNum">      68 </span>            : //     | 1 .       |</a>
+<a name="69"><span class="lineNum">      69 </span>            : //     | 1         |</a>
+<a name="70"><span class="lineNum">      70 </span>            : //</a>
+<a name="71"><span class="lineNum">      71 </span>            : // To allow propagating the labels along edges, we use a diagonal matrix</a>
+<a name="72"><span class="lineNum">      72 </span>            : // with the elements of the diagonal set to the values of L:</a>
+<a name="73"><span class="lineNum">      73 </span>            : //</a>
+<a name="74"><span class="lineNum">      74 </span>            : // diag(L) = | 3 0 0 0 0 |</a>
+<a name="75"><span class="lineNum">      75 </span>            : //           | 0 5 0 0 0 |</a>
+<a name="76"><span class="lineNum">      76 </span>            : //           | 0 0 4 0 0 |</a>
+<a name="77"><span class="lineNum">      77 </span>            : //           | 0 0 0 5 0 |</a>
+<a name="78"><span class="lineNum">      78 </span>            : //           | 0 0 0 0 4 |</a>
+<a name="79"><span class="lineNum">      79 </span>            : //</a>
+<a name="80"><span class="lineNum">      80 </span>            : // If we multiply adjacency matrix with diag(L), we get a matrix</a>
+<a name="81"><span class="lineNum">      81 </span>            : // containing the labels of the neighbor nodes. We use the 'sel2nd' operator</a>
+<a name="82"><span class="lineNum">      82 </span>            : // for multiplication to avoid having to lookup the value on the left.</a>
+<a name="83"><span class="lineNum">      83 </span>            : // The conventional plus.times semiring would also work: 1 * y = sel2nd(1, y).</a>
+<a name="84"><span class="lineNum">      84 </span>            : // Note that we multiply with a diagonal matrix so the addition operator</a>
+<a name="85"><span class="lineNum">      85 </span>            : // is not used. In the implementation, we use &quot;min&quot; so the semiring is</a>
+<a name="86"><span class="lineNum">      86 </span>            : // &quot;min.sel2nd&quot; on uint64 values.</a>
+<a name="87"><span class="lineNum">      87 </span>            : //</a>
+<a name="88"><span class="lineNum">      88 </span>            : // In the example, this gives the following:</a>
+<a name="89"><span class="lineNum">      89 </span>            : //</a>
+<a name="90"><span class="lineNum">      90 </span>            : // AL = A min.sel2nd diag(L) = | 0 5 4 5 4 |</a>
+<a name="91"><span class="lineNum">      91 </span>            : //                             | 3 . . . . |</a>
+<a name="92"><span class="lineNum">      92 </span>            : //</a>
+<a name="93"><span class="lineNum">      93 </span>            : // ## Selecting the minimum mode value</a>
+<a name="94"><span class="lineNum">      94 </span>            : //</a>
+<a name="95"><span class="lineNum">      95 </span>            : // Next, we need to compute the minimum mode value for each row. As it is</a>
+<a name="96"><span class="lineNum">      96 </span>            : // difficult to capture this operation as a monoid, we use a sort operation</a>
+<a name="97"><span class="lineNum">      97 </span>            : // on each row. In the undirected case, we extract tuples &lt;I, _, X&gt; from the</a>
+<a name="98"><span class="lineNum">      98 </span>            : // matrix, then use &lt;I, X&gt; for sorting. In the directed case, we extract</a>
+<a name="99"><span class="lineNum">      99 </span>            : // tuples &lt;I1, _, X1&gt; and &lt;I2, _, X2&gt;, then use &lt;I1+I2, X1+X2&gt;,</a>
+<a name="100"><span class="lineNum">     100 </span>            : // where '+' denotes concatenation. Column indices (J) are not used.</a>
+<a name="101"><span class="lineNum">     101 </span>            : //</a>
+<a name="102"><span class="lineNum">     102 </span>            : // The resulting two-tuples are sorted using a parallel merge sort.</a>
+<a name="103"><span class="lineNum">     103 </span>            : // Finally, we use the sorted arrays compute the minimum mode value for each</a>
+<a name="104"><span class="lineNum">     104 </span>            : // row.</a>
+<a name="105"><span class="lineNum">     105 </span>            : //</a>
+<a name="106"><span class="lineNum">     106 </span>            : // ## Fixed point</a>
+<a name="107"><span class="lineNum">     107 </span>            : //</a>
+<a name="108"><span class="lineNum">     108 </span>            : // At the end of each iteration, we check whether L[i-1] == L[i] and</a>
+<a name="109"><span class="lineNum">     109 </span>            : // terminate if we reached a fixed point.</a>
+<a name="110"><span class="lineNum">     110 </span>            : //</a>
+<a name="111"><span class="lineNum">     111 </span>            : // ## Further optimizations</a>
+<a name="112"><span class="lineNum">     112 </span>            : //</a>
+<a name="113"><span class="lineNum">     113 </span>            : // A possible optimization is that the first iteration is rather trivial:</a>
+<a name="114"><span class="lineNum">     114 </span>            : //</a>
+<a name="115"><span class="lineNum">     115 </span>            : // * in the undirected case, each vertex gets the minimal initial label (=id)</a>
+<a name="116"><span class="lineNum">     116 </span>            : //   of its neighbors.</a>
+<a name="117"><span class="lineNum">     117 </span>            : // * in the directed case, each vertex gets the minimal initial label (=id)</a>
+<a name="118"><span class="lineNum">     118 </span>            : //   of its neighbors which are doubly-linked (on an incoming and on an</a>
+<a name="119"><span class="lineNum">     119 </span>            : //   outgoing edge). In the absence of such a neighbor, it picks the minimal</a>
+<a name="120"><span class="lineNum">     120 </span>            : //   label of its neighbors (connected through either an incoming or through</a>
+<a name="121"><span class="lineNum">     121 </span>            : //   an outgoing edge).</a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            : #define LG_FREE_ALL                                                     \</a>
+<a name="124"><span class="lineNum">     124 </span>            : {                                                                       \</a>
+<a name="125"><span class="lineNum">     125 </span>            :     LAGraph_Free ((void *) &amp;I, NULL) ;                                  \</a>
+<a name="126"><span class="lineNum">     126 </span>            :     LAGraph_Free ((void *) &amp;X, NULL) ;                                  \</a>
+<a name="127"><span class="lineNum">     127 </span>            :     LAGraph_Free ((void *) &amp;AI, NULL) ;                                 \</a>
+<a name="128"><span class="lineNum">     128 </span>            :     LAGraph_Free ((void *) &amp;AJ, NULL) ;                                 \</a>
+<a name="129"><span class="lineNum">     129 </span>            :     LAGraph_Free ((void *) &amp;AX, NULL) ;                                 \</a>
+<a name="130"><span class="lineNum">     130 </span>            :     LAGraph_Free ((void *) &amp;X, NULL) ;                                  \</a>
+<a name="131"><span class="lineNum">     131 </span>            :     LAGraph_Free ((void *) &amp;X, NULL) ;                                  \</a>
+<a name="132"><span class="lineNum">     132 </span>            :     GrB_free (&amp;L) ;                                                     \</a>
+<a name="133"><span class="lineNum">     133 </span>            :     GrB_free (&amp;L_prev) ;                                                \</a>
+<a name="134"><span class="lineNum">     134 </span>            :     if (sanitize) GrB_free (&amp;S) ;                                       \</a>
+<a name="135"><span class="lineNum">     135 </span>            :     GrB_free (&amp;AT) ;                                                    \</a>
+<a name="136"><span class="lineNum">     136 </span>            : }</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="139"><span class="lineNum">     139 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="140"><span class="lineNum">     140 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            : //****************************************************************************</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         12 : int LAGraph_cdlp</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : (</a>
+<a name="145"><span class="lineNum">     145 </span>            :     GrB_Vector *CDLP_handle, // output vector</a>
+<a name="146"><span class="lineNum">     146 </span>            :     const GrB_Matrix A,      // input matrix</a>
+<a name="147"><span class="lineNum">     147 </span>            :     bool symmetric,          // denote whether the matrix is symmetric</a>
+<a name="148"><span class="lineNum">     148 </span>            :     bool sanitize,           // if true, ensure A is binary</a>
+<a name="149"><span class="lineNum">     149 </span>            :     int itermax,             // max number of iterations,</a>
+<a name="150"><span class="lineNum">     150 </span>            :     double *t,               // t [0] = sanitize time, t [1] = cdlp time,</a>
+<a name="151"><span class="lineNum">     151 </span>            :                              // in seconds</a>
+<a name="152"><span class="lineNum">     152 </span>            :     char *msg</a>
+<a name="153"><span class="lineNum">     153 </span>            : )</a>
+<a name="154"><span class="lineNum">     154 </span>            : {</a>
+<a name="155"><span class="lineNum">     155 </span>            :     GrB_Info info;</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         12 :     LG_CLEAR_MSG ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     // Diagonal label matrix</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         12 :     GrB_Matrix L = NULL;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         12 :     GrB_Matrix L_prev = NULL;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :     // Source adjacency matrix</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         12 :     GrB_Matrix S = NULL;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :     // Transposed matrix for the unsymmetric case</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         12 :     GrB_Matrix AT = NULL;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :     // Result CDLP vector</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         12 :     GrB_Vector CDLP = NULL;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            :     // Arrays holding extracted tuples if the matrix needs to be copied</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         12 :     GrB_Index *AI = NULL;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         12 :     GrB_Index *AJ = NULL;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         12 :     GrB_Index *AX = NULL;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :     // Arrays holding extracted tuples during the algorithm</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         12 :     GrB_Index *I = NULL;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">         12 :     GrB_Index *X = NULL;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="177"><span class="lineNum">     177 </span>            :     // check inputs</a>
+<a name="178"><span class="lineNum">     178 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         12 :     if (CDLP_handle == NULL || t == NULL)</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :     {</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :         return GrB_NULL_POINTER;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :     }</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="186"><span class="lineNum">     186 </span>            :     // ensure input is binary and has no self-edges</a>
+<a name="187"><span class="lineNum">     187 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         11 :     t [0] = 0;         // sanitize time</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         11 :     t [1] = 0;         // CDLP time</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span>            :     // n = size of A (# of nodes in the graph)</a>
+<a name="193"><span class="lineNum">     193 </span>            :     // nz = # of non-zero elements in the matrix</a>
+<a name="194"><span class="lineNum">     194 </span>            :     // nnz = # of non-zero elements used in the computations</a>
+<a name="195"><span class="lineNum">     195 </span>            :     //   (twice as many for directed graphs)</a>
+<a name="196"><span class="lineNum">     196 </span>            :     GrB_Index n, nz, nnz;</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         11 :     GRB_TRY (GrB_Matrix_nrows(&amp;n, A))</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         11 :     GRB_TRY (GrB_Matrix_nvals(&amp;nz, A))</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         11 :     if (!symmetric)</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     {</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :         nnz = 2 * nz;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :     }</a>
+<a name="203"><span class="lineNum">     203 </span>            :     else</a>
+<a name="204"><span class="lineNum">     204 </span>            :     {</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">         10 :         nnz = nz;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     }</a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         11 :     if (sanitize)</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :     {</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          4 :         t [0] = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;AI, nz, sizeof(GrB_Index),msg));</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;AJ, nz, sizeof(GrB_Index),msg));</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_extractTuples_UINT64(AI, AJ, GrB_NULL, &amp;nz, A))</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Calloc ((void **) &amp;AX, nz, sizeof(GrB_Index),msg));</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_new(&amp;S, GrB_UINT64, n, n));</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build(S, AI, AJ, AX, nz, GrB_PLUS_UINT64));</span></a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          4 :         t [0] = LAGraph_WallClockTime ( ) - t [0] ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :     }</a>
+<a name="222"><span class="lineNum">     222 </span>            :     else</a>
+<a name="223"><span class="lineNum">     223 </span>            :     {</a>
+<a name="224"><span class="lineNum">     224 </span>            :         // Use the input as-is, and assume it is UINT64(!) with no self edges.</a>
+<a name="225"><span class="lineNum">     225 </span>            :         // Results are undefined if this condition does not hold.</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          7 :         S = A;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :     }</a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         11 :     t [1] = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span>            : #ifdef LAGRAPH_SUITESPARSE</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         11 :     GxB_Format_Value A_format = -1, global_format = -1 ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         11 :     GRB_TRY (GxB_get(A, GxB_FORMAT, &amp;A_format))</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         11 :     GRB_TRY (GxB_get(GxB_FORMAT, &amp;global_format))</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">         11 :     if (A_format != GxB_BY_ROW || global_format != GxB_BY_ROW)</span></a>
+<a name="236"><span class="lineNum">     236 </span>            :     {</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :         LG_FREE_ALL;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :         return (GrB_INVALID_VALUE) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :     }</a>
+<a name="240"><span class="lineNum">     240 </span>            : #endif</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :     // Initialize L with diagonal elements 1..n</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">         10 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">         10 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;X, n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">       3304 :     for (GrB_Index i = 0; i &lt; n; i++) {</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">       3294 :         I[i] = i;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">       3294 :         X[i] = i;</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :     }</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_new (&amp;L, GrB_UINT64, n, n)) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_build (L, I, I, X, n, GrB_PLUS_UINT64)) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         10 :     LAGraph_Free ((void **) &amp;I, NULL) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">         10 :     LAGraph_Free ((void **) &amp;X, NULL) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :     // Initialize matrix for storing previous labels</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_new(&amp;L_prev, GrB_UINT64, n, n))</span></a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         10 :     if (!symmetric)</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :     {</a>
+<a name="259"><span class="lineNum">     259 </span>            :         // compute AT for the unsymmetric case as it will be used</a>
+<a name="260"><span class="lineNum">     260 </span>            :         // to compute A' = A' min.2nd L in each iteration</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_new (&amp;AT, GrB_UINT64, n, n)) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :         GRB_TRY (GrB_transpose (AT, NULL, NULL, A, NULL)) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :     }</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">        259 :     for (int iteration = 0; iteration &lt; itermax; iteration++)</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :     {</a>
+<a name="267"><span class="lineNum">     267 </span>            :         // Initialize data structures for extraction from 'AL_in' and (for directed graphs) 'AL_out'</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">        257 :         LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;I, nnz, sizeof(GrB_Index), msg));</span></a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">        257 :         LAGRAPH_TRY (LAGraph_Malloc((void **) &amp;X, nnz, sizeof(GrB_Index), msg));</span></a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            :         // A = A min.2nd L</a>
+<a name="272"><span class="lineNum">     272 </span>            :         // (using the &quot;push&quot; (saxpy) method)</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        257 :         GRB_TRY (GrB_mxm(S, GrB_NULL, GrB_NULL,</span></a>
+<a name="274"><span class="lineNum">     274 </span>            :                            GrB_MIN_SECOND_SEMIRING_UINT64, S, L, NULL));</a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">        257 :         GRB_TRY (GrB_Matrix_extractTuples_UINT64(I, GrB_NULL, X, &amp;nz, S));</span></a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">        257 :         if (!symmetric)</span></a>
+<a name="278"><span class="lineNum">     278 </span>            :         {</a>
+<a name="279"><span class="lineNum">     279 </span>            :             // A' = A' min.2nd L</a>
+<a name="280"><span class="lineNum">     280 </span>            :             // (using the &quot;push&quot; (saxpy) method)</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          6 :             GRB_TRY (GrB_mxm(AT, GrB_NULL, GrB_NULL,</span></a>
+<a name="282"><span class="lineNum">     282 </span>            :                                GrB_MIN_SECOND_SEMIRING_UINT64, AT, L, NULL));</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          6 :             GRB_TRY (GrB_Matrix_extractTuples_UINT64(&amp;I[nz],</span></a>
+<a name="284"><span class="lineNum">     284 </span>            :                                                        GrB_NULL, &amp;X[nz], &amp;nz, AT));</a>
+<a name="285"><span class="lineNum">     285 </span>            :         }</a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">        257 :         LG_msort2((int64_t *) I, (int64_t *) X, nnz, NULL);</span></a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            :         // save current labels for comparison by swapping L and L_prev</a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">        257 :         GrB_Matrix L_swap = L;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">        257 :         L = L_prev;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">        257 :         L_prev = L_swap;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">        257 :         GrB_Index mode_value = -1;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        257 :         GrB_Index mode_length = 0;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">        257 :         GrB_Index run_length = 1;</span></a>
+<a name="297"><span class="lineNum">     297 </span>            : </a>
+<a name="298"><span class="lineNum">     298 </span>            :         // I[k] is the current row index</a>
+<a name="299"><span class="lineNum">     299 </span>            :         // X[k] is the current value</a>
+<a name="300"><span class="lineNum">     300 </span>            :         // we iterate in range 1..nnz and use the last index (nnz) to process the last row of the matrix</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">    1524968 :         for (GrB_Index k = 1; k &lt;= nnz; k++)</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :         {</a>
+<a name="303"><span class="lineNum">     303 </span>            :             // check if we have a reason to recompute the mode value</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">    1524711 :             if (k == nnz           // we surpassed the last element</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">    1524454 :                 || I[k-1] != I[k]  // the row index has changed</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">    1474530 :                 || X[k-1] != X[k]) // the run value has changed</span></a>
+<a name="307"><span class="lineNum">     307 </span>            :             {</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">     260160 :                 if (run_length &gt; mode_length)</span></a>
+<a name="309"><span class="lineNum">     309 </span>            :                 {</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">      84859 :                     mode_value = X[k-1];</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">      84859 :                     mode_length = run_length;</span></a>
+<a name="312"><span class="lineNum">     312 </span>            :                 }</a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">     260160 :                 run_length = 0;</span></a>
+<a name="314"><span class="lineNum">     314 </span>            :             }</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">    1524711 :             run_length++;</span></a>
+<a name="316"><span class="lineNum">     316 </span>            : </a>
+<a name="317"><span class="lineNum">     317 </span>            :             // check if we passed a row</a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">    1524711 :             if (k == nnz           // we surpassed the last element</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">    1524454 :                 || I[k-1] != I[k]) // or the row index has changed</span></a>
+<a name="320"><span class="lineNum">     320 </span>            :             {</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">      50181 :                 GrB_Matrix_setElement(L, mode_value, I[k-1], I[k-1]);</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">      50181 :                 mode_length = 0;</span></a>
+<a name="323"><span class="lineNum">     323 </span>            :             }</a>
+<a name="324"><span class="lineNum">     324 </span>            :         }</a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">        257 :         LAGraph_Free ((void **) &amp;I, NULL) ;</span></a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">        257 :         LAGraph_Free ((void **) &amp;X, NULL) ;</span></a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span>            :         bool isequal;</a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        257 :         LAGraph_Matrix_IsEqual (&amp;isequal, L_prev, L, NULL);</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">        257 :         if (isequal) {</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          8 :             break;</span></a>
+<a name="333"><span class="lineNum">     333 </span>            :         }</a>
+<a name="334"><span class="lineNum">     334 </span>            :     }</a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="337"><span class="lineNum">     337 </span>            :     // extract final labels to the result vector</a>
+<a name="338"><span class="lineNum">     338 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="339"><span class="lineNum">     339 </span>            : </a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new(&amp;CDLP, GrB_UINT64, n))</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">       3304 :     for (GrB_Index i = 0; i &lt; n; i++)</span></a>
+<a name="342"><span class="lineNum">     342 </span>            :     {</a>
+<a name="343"><span class="lineNum">     343 </span>            :         uint64_t x;</a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">       3294 :         GRB_TRY (GrB_Matrix_extractElement(&amp;x, L, i, i))</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">       3294 :         GRB_TRY (GrB_Vector_setElement(CDLP, x, i))</span></a>
+<a name="346"><span class="lineNum">     346 </span>            :     }</a>
+<a name="347"><span class="lineNum">     347 </span>            : </a>
+<a name="348"><span class="lineNum">     348 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="349"><span class="lineNum">     349 </span>            :     // free workspace and return result</a>
+<a name="350"><span class="lineNum">     350 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="351"><span class="lineNum">     351 </span>            : </a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">         10 :     (*CDLP_handle) = CDLP;</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">         10 :     CDLP = NULL;            // set to NULL so LG_FREE_ALL doesn't free it</span></a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">         10 :     LG_FREE_ALL;</span></a>
+<a name="355"><span class="lineNum">     355 </span>            : </a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">         10 :     t [1] = LAGraph_WallClockTime ( ) - t [1] ;</span></a>
+<a name="357"><span class="lineNum">     357 </span>            : </a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">         10 :     return (GrB_SUCCESS);</span></a>
+<a name="359"><span class="lineNum">     359 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_dnn.c.func-sort-c.html b/experimental/algorithm/LAGraph_dnn.c.func-sort-c.html
new file mode 100644
index 0000000000..97c07e08ab
--- /dev/null
+++ b/experimental/algorithm/LAGraph_dnn.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_dnn.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_dnn.c<span style="font-size: 80%;"> (<a href="LAGraph_dnn.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_dnn.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_dnn.c.gcov.html#47">LAGraph_dnn</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_dnn.c.func.html b/experimental/algorithm/LAGraph_dnn.c.func.html
new file mode 100644
index 0000000000..8ba41a1114
--- /dev/null
+++ b/experimental/algorithm/LAGraph_dnn.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_dnn.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_dnn.c<span style="font-size: 80%;"> (<a href="LAGraph_dnn.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_dnn.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_dnn.c.gcov.html#47">LAGraph_dnn</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_dnn.c.gcov.html b/experimental/algorithm/LAGraph_dnn.c.gcov.html
new file mode 100644
index 0000000000..f4751db7cb
--- /dev/null
+++ b/experimental/algorithm/LAGraph_dnn.c.gcov.html
@@ -0,0 +1,191 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_dnn.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_dnn.c<span style="font-size: 80%;"> (source / <a href="LAGraph_dnn.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_dnn: sparse deep neural network</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_dnn: sparse deep neural network.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // Based on inferenceReLUvec.m by Jeremy Kepner, MIT.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // Performs ReLU inference using input feature vectors Y0.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // See http://graphchallenge.org/ for a description of the algorithm.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // On input, Y0 is the initial feature vectors, of size nfeatures-by-nneurons.</a>
+<a name="26"><span class="lineNum">      26 </span>            : // This format uses the graph convention that A(i,j) is the edge (i,j).</a>
+<a name="27"><span class="lineNum">      27 </span>            : // Each row of Y0 is a single feature.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : // W is an array of size nlayers of sparse matrices.  Each W[layer] matrix has</a>
+<a name="30"><span class="lineNum">      30 </span>            : // the same size: nneurons-by-nneurons.  W[layer] represents the DNN weights</a>
+<a name="31"><span class="lineNum">      31 </span>            : // for that layer.</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : // The Bias[layer] matrices are diagonal, and the same size as W[layer].</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : // All matrices should have type GrB_FP32; the method will be very slow</a>
+<a name="36"><span class="lineNum">      36 </span>            : // otherwise.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // On output, Y is the computed result, of the same size as Y0.</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_FREE_ALL         \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                           \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_free (&amp;Y) ;         \</a>
+<a name="43"><span class="lineNum">      43 </span>            : }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="46"><span class="lineNum">      46 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //****************************************************************************</a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          2 : GrB_Info LAGraph_dnn    // returns GrB_SUCCESS if successful</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : (</a>
+<a name="51"><span class="lineNum">      51 </span>            :     // output</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_Matrix *Yhandle,    // Y, created on output</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // input: not modified</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Matrix *W,      // W [0..nlayers-1], each nneurons-by-nneurons</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Matrix *Bias,   // Bias [0..nlayers-1], diagonal nneurons-by-nneurons</a>
+<a name="56"><span class="lineNum">      56 </span>            :     int nlayers,        // # of layers</a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_Matrix Y0       // input features: nfeatures-by-nneurons</a>
+<a name="58"><span class="lineNum">      58 </span>            : )</a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_Info info ;</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          2 :     char *msg = NULL ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            :     // check inputs</a>
+<a name="65"><span class="lineNum">      65 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          2 :     if (Yhandle == NULL || W == NULL || Bias == NULL || Y0 == NULL)</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :     {</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :         return (GrB_NULL_POINTER) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     }</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // create the output matrix Y</a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     GrB_Matrix Y = NULL ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     (*Yhandle) = NULL ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :     GrB_Index nfeatures, nneurons ;</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_nrows (&amp;nfeatures, Y0)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_ncols (&amp;nneurons,  Y0)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Matrix_new (&amp;Y, GrB_FP32, nfeatures, nneurons)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            :     // propagate the features through the neuron layers</a>
+<a name="85"><span class="lineNum">      85 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         31 :     for (int layer = 0 ; layer &lt; nlayers ; layer++)</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     {</a>
+<a name="89"><span class="lineNum">      89 </span>            :         // Y = Y * W [layer], using the conventional PLUS_TIMES semiring</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         30 :         GRB_TRY (GrB_mxm (Y, NULL, NULL, GrB_PLUS_TIMES_SEMIRING_FP32,</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :             ((layer == 0) ? Y0 : Y), W [layer], NULL)) ;</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :         // Y = Y * Bias [layer], using the MIN_PLUS semiring.  This computes</a>
+<a name="94"><span class="lineNum">      94 </span>            :         // Y(i,j) += Bias [layer] (j,j) for each entry Y(i,j).  It does not</a>
+<a name="95"><span class="lineNum">      95 </span>            :         // introduce any new entries in Y.  The MIN monoid is not actually used</a>
+<a name="96"><span class="lineNum">      96 </span>            :         // since Bias [layer] is a diagonal matrix.  The prior version used</a>
+<a name="97"><span class="lineNum">      97 </span>            :         // a PLUS_PLUS semiring, which also works but is not a GrB built-in.</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         30 :         GRB_TRY (GrB_mxm (Y, NULL, NULL, GrB_MIN_PLUS_SEMIRING_FP32, Y,</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :             Bias [layer], NULL)) ;</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :         // delete entries from Y: keep only those entries greater than zero</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         30 :         GRB_TRY (GrB_select (Y, NULL, NULL, GrB_VALUEGT_FP32, Y, (float) 0,</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :             NULL));</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :         // threshold maximum values: Y = min (Y, 32)</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         30 :         GRB_TRY (GrB_apply (Y, NULL, NULL, GrB_MIN_FP32, Y, (float) 32, NULL)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :     }</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="110"><span class="lineNum">     110 </span>            :     // return result</a>
+<a name="111"><span class="lineNum">     111 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     (*Yhandle) = Y ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     return (GrB_SUCCESS) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_lcc.c.func-sort-c.html b/experimental/algorithm/LAGraph_lcc.c.func-sort-c.html
new file mode 100644
index 0000000000..9aff8c51db
--- /dev/null
+++ b/experimental/algorithm/LAGraph_lcc.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_lcc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_lcc.c<span style="font-size: 80%;"> (<a href="LAGraph_lcc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_lcc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#111">LAGraph_lcc</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#85">LAGraph_comb_dir_fp64</a></td>
+              <td class="coverFnHi">67</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#98">LAGraph_comb_undir_fp64</a></td>
+              <td class="coverFnHi">3227</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
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+</html>
diff --git a/experimental/algorithm/LAGraph_lcc.c.func.html b/experimental/algorithm/LAGraph_lcc.c.func.html
new file mode 100644
index 0000000000..7e437288d7
--- /dev/null
+++ b/experimental/algorithm/LAGraph_lcc.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_lcc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_lcc.c<span style="font-size: 80%;"> (<a href="LAGraph_lcc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_lcc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#85">LAGraph_comb_dir_fp64</a></td>
+              <td class="coverFnHi">67</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#98">LAGraph_comb_undir_fp64</a></td>
+              <td class="coverFnHi">3227</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_lcc.c.gcov.html#111">LAGraph_lcc</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+</html>
diff --git a/experimental/algorithm/LAGraph_lcc.c.gcov.html b/experimental/algorithm/LAGraph_lcc.c.gcov.html
new file mode 100644
index 0000000000..47507d21d7
--- /dev/null
+++ b/experimental/algorithm/LAGraph_lcc.c.gcov.html
@@ -0,0 +1,374 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_lcc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_lcc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_lcc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_lcc: local clustering coefficient</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Gabor Szarnyas and Balint Hegyi, Budapest University of</a>
+<a name="15"><span class="lineNum">      15 </span>            : // Technology and Economics (with accented characters: G\'{a}bor Sz\'{a}rnyas</a>
+<a name="16"><span class="lineNum">      16 </span>            : // and B\'{a}lint Hegyi, using LaTeX syntax).</a>
+<a name="17"><span class="lineNum">      17 </span>            : // https://inf.mit.bme.hu/en/members/szarnyasg .</a>
+<a name="18"><span class="lineNum">      18 </span>            : // Modified by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // This function was originally written for the LDBC Graphalytics benchmark,</a>
+<a name="23"><span class="lineNum">      23 </span>            : // at https://graphalytics.org/ .</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // The local clustering coefficient is a measure for each node of a graph.</a>
+<a name="26"><span class="lineNum">      26 </span>            : // Its definition is fully described in the following document:</a>
+<a name="27"><span class="lineNum">      27 </span>            : // https://ldbc.github.io/ldbc_graphalytics_docs/graphalytics_spec.pdf</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : // For each node v, the lcc(v) is the ratio between the number of edges between</a>
+<a name="30"><span class="lineNum">      30 </span>            : // neighbors of the node v, and the maximum possible number of edges between</a>
+<a name="31"><span class="lineNum">      31 </span>            : // these neighbors.  If a node v has fewer than 2 neighbors, then its</a>
+<a name="32"><span class="lineNum">      32 </span>            : // coefficient is defined as zero, and the vth entry does not appear in the</a>
+<a name="33"><span class="lineNum">      33 </span>            : // sparse vector LCC returned.</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : // Let N_in(v)  = the set of nodes u such that (u,v) is an edge.</a>
+<a name="36"><span class="lineNum">      36 </span>            : // Let N_out(v) = the set of nodes u such that (v,u) is an edge.</a>
+<a name="37"><span class="lineNum">      37 </span>            : // Let N(v) = union (N_in(v), N_out(v)).</a>
+<a name="38"><span class="lineNum">      38 </span>            : // Then the metric lcc(v) is defined as:</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : // lcc(v) = (sum for all u in N(v) of |intersection (N(v), N_out(u))) /</a>
+<a name="41"><span class="lineNum">      41 </span>            : //          ( |N(v)| * (|N(v)|-1) )</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : // That is, for directed graphs, the set of neighbors N(v) is found without</a>
+<a name="44"><span class="lineNum">      44 </span>            : // taking directions into account, but a node u that has both an edge (u,v) and</a>
+<a name="45"><span class="lineNum">      45 </span>            : // (v,u) is counted just once.  However, edge directions are enforced when</a>
+<a name="46"><span class="lineNum">      46 </span>            : // considering two nodes u1 and u2 that are both in N(v), i.e. when counting</a>
+<a name="47"><span class="lineNum">      47 </span>            : // the number of edges between neighbors, (u,v) and (v,u) are counted as two.</a>
+<a name="48"><span class="lineNum">      48 </span>            : // To account for this, the maximum possible number of edges for vertex v is</a>
+<a name="49"><span class="lineNum">      49 </span>            : // determined as the 2-combination of |N(v)| for undirected graphs and as the</a>
+<a name="50"><span class="lineNum">      50 </span>            : // 2-permutation of |N(v)| for directed graphs.</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : // The input matrix A must be square.  If A is known to be binary (with all</a>
+<a name="53"><span class="lineNum">      53 </span>            : // explicit edge weights equal to 1), then sanitize can be false.  This is the</a>
+<a name="54"><span class="lineNum">      54 </span>            : // case for the LDBC benchmark.</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : // Otherwise, if sanitize is true, edge weights of A are ignored and only the</a>
+<a name="57"><span class="lineNum">      57 </span>            : // structure of A is used.  This step takes extra time and memory to sanitize the</a>
+<a name="58"><span class="lineNum">      58 </span>            : // input matrix A.  For a fair comparison in the LDBC benchmark, sanitize</a>
+<a name="59"><span class="lineNum">      59 </span>            : // should be false.</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : // Results are undefined if sanitize is false, and the matrix A has any entries</a>
+<a name="62"><span class="lineNum">      62 </span>            : // not equal to 1 (even zero-weight edges are not allowed), or if it has self</a>
+<a name="63"><span class="lineNum">      63 </span>            : // edges.</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="66"><span class="lineNum">      66 </span>            : {                                   \</a>
+<a name="67"><span class="lineNum">      67 </span>            :     GrB_free (&amp;A2) ;                \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     GrB_free (&amp;C2) ;                \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_free (&amp;CL) ;                \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_free (&amp;U) ;                 \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_free (&amp;W) ;                 \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_free (&amp;LCC) ;               \</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_free (&amp;LAGraph_COMB_DIR_FP64) ;                 \</a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_free (&amp;LAGraph_COMB_UNDIR_FP64) ;                 \</a>
+<a name="75"><span class="lineNum">      75 </span>            : }</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="78"><span class="lineNum">      78 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="79"><span class="lineNum">      79 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : #define F_UNARY(f)  ((void (*)(void *, const void *)) f)</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            : // z = x * (x - 1), used by LAGraph_lcc.</a>
+<a name="86"><span class="lineNum">      86 </span>            : // This operator calculates the 2-permutation of d(v).</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         67 : void LAGraph_comb_dir_fp64</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : (</a>
+<a name="89"><span class="lineNum">      89 </span>            :     void *z,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     const void *x</a>
+<a name="91"><span class="lineNum">      91 </span>            : )</a>
+<a name="92"><span class="lineNum">      92 </span>            : {</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         67 :     double xd = *(double *) x ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         67 :     double *zd = (double *) z ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         67 :     (*zd) = ((xd) * (xd - 1)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         67 : }</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            : // z = x * (x - 1) / 2, used by LAGraph_lcc.</a>
+<a name="99"><span class="lineNum">      99 </span>            : // This operator calculates the 2-combination of d(v).</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">       3227 : void LAGraph_comb_undir_fp64</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : (</a>
+<a name="102"><span class="lineNum">     102 </span>            :     void *z,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     const void *x</a>
+<a name="104"><span class="lineNum">     104 </span>            : )</a>
+<a name="105"><span class="lineNum">     105 </span>            : {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">       3227 :     double xd = *(double *) x ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">       3227 :     double *zd = (double *) z ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">       3227 :     (*zd) = ((xd) * (xd - 1)) / 2;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       3227 : }</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            : //------------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         12 : int LAGraph_lcc            // compute lcc for all nodes in A</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : (</a>
+<a name="115"><span class="lineNum">     115 </span>            :     GrB_Vector *LCC_handle,     // output vector</a>
+<a name="116"><span class="lineNum">     116 </span>            :     const GrB_Matrix A,         // input matrix</a>
+<a name="117"><span class="lineNum">     117 </span>            :     bool symmetric,             // if true, the matrix is symmetric</a>
+<a name="118"><span class="lineNum">     118 </span>            :     bool sanitize,              // if true, ensure A is binary</a>
+<a name="119"><span class="lineNum">     119 </span>            :     double t [2],               // t [0] = sanitize time, t [1] = lcc time,</a>
+<a name="120"><span class="lineNum">     120 </span>            :                                 // in seconds</a>
+<a name="121"><span class="lineNum">     121 </span>            :     char *msg</a>
+<a name="122"><span class="lineNum">     122 </span>            : )</a>
+<a name="123"><span class="lineNum">     123 </span>            : {</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="126"><span class="lineNum">     126 </span>            :     // check inputs</a>
+<a name="127"><span class="lineNum">     127 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         12 :     LG_CLEAR_MSG ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         12 :     if (LCC_handle == NULL)</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :     {</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :         return (GrB_NULL_POINTER) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            :     }</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         11 :     GrB_Matrix C = NULL, CL = NULL, S = NULL, U = NULL ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         11 :     GrB_Vector W = NULL, LCC = NULL ; </span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         11 :     GrB_Matrix A2 = NULL, C2 = NULL ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         11 :     GrB_UnaryOp LAGraph_COMB_DIR_FP64 = NULL ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         11 :     GrB_UnaryOp LAGraph_COMB_UNDIR_FP64 = NULL ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :     GrB_Info info ;</a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="143"><span class="lineNum">     143 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="144"><span class="lineNum">     144 </span>            : #else</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :     // n = size of A (# of nodes in the graph)</a>
+<a name="147"><span class="lineNum">     147 </span>            :     GrB_Index n ;</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         11 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="150"><span class="lineNum">     150 </span>            :     GxB_Format_Value fmt ;</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         11 :     GRB_TRY (GxB_get (A, GxB_FORMAT, &amp;fmt)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         11 :     if (fmt != GxB_BY_ROW)</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :     {</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :         return (GrB_INVALID_VALUE) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :     }</a>
+<a name="156"><span class="lineNum">     156 </span>            : #endif</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            :     // ensure input is binary and has no self-edges</a>
+<a name="160"><span class="lineNum">     160 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         10 :     t [0] = 0 ;         // sanitize time</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         10 :     t [1] = 0 ;         // LCC time</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            :     // fixme: use operators that ignore the values of A</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         10 :     if (sanitize)</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     {</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          3 :         t [0] = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :         // S = binary structure of A</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          3 :         GRB_TRY (GrB_Matrix_new (&amp;A2, GrB_FP64, n, n)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          3 :         GRB_TRY (GrB_apply (A2, NULL, NULL, GrB_ONEB_FP64, A, 0, NULL)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :         // remove all self edges</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          3 :         GRB_TRY (GrB_select (A2, NULL, NULL, GrB_OFFDIAG, A2, 0, NULL)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          3 :         t [0] = LAGraph_WallClockTime ( ) - t [0] ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          3 :         S = A2 ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :     }</a>
+<a name="179"><span class="lineNum">     179 </span>            :     else</a>
+<a name="180"><span class="lineNum">     180 </span>            :     {</a>
+<a name="181"><span class="lineNum">     181 </span>            :         // Use the input as-is, and assume it is binary with no self edges.</a>
+<a name="182"><span class="lineNum">     182 </span>            :         // Results are undefined if this condition does not hold.</a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          7 :         S = A ;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :     }</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         10 :     t [1] = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="189"><span class="lineNum">     189 </span>            :     // create the operators for LAGraph_lcc</a>
+<a name="190"><span class="lineNum">     190 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         10 :     GRB_TRY (GrB_UnaryOp_new (&amp;LAGraph_COMB_DIR_FP64,</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :                                  F_UNARY (LAGraph_comb_dir_fp64),</a>
+<a name="194"><span class="lineNum">     194 </span>            :                                  GrB_FP64, GrB_FP64)) ;</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">         10 :     GRB_TRY (GrB_UnaryOp_new (&amp;LAGraph_COMB_UNDIR_FP64,</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :                                  F_UNARY (LAGraph_comb_undir_fp64),</a>
+<a name="198"><span class="lineNum">     198 </span>            :                                  GrB_FP64, GrB_FP64)) ;</a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_new (&amp;U, GrB_UINT32, n, n)) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         10 :     if (symmetric)</span></a>
+<a name="203"><span class="lineNum">     203 </span>            :     {</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          9 :         C = S ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         //----------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // U = triu(C)</a>
+<a name="208"><span class="lineNum">     208 </span>            :         //----------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          9 :         GRB_TRY (GxB_select (U, NULL, NULL, GxB_TRIU, C, NULL, NULL)) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     }</a>
+<a name="213"><span class="lineNum">     213 </span>            :     else</a>
+<a name="214"><span class="lineNum">     214 </span>            :     {</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          1 :         GrB_Matrix AT = NULL, D = NULL ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_new (&amp;AT, GrB_FP64, n, n)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :         GRB_TRY (GrB_transpose (AT, NULL, NULL, S, NULL)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :         //----------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            :         // C = A \/ A' to create an undirected graph C</a>
+<a name="222"><span class="lineNum">     222 </span>            :         //----------------------------------------------------------------------</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_new (&amp;C2, GrB_FP64, n, n)) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :         C = C2 ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 :         GRB_TRY (GrB_eWiseAdd (C, NULL, NULL, GrB_LOR, S, AT, NULL)) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            :         //----------------------------------------------------------------------</a>
+<a name="229"><span class="lineNum">     229 </span>            :         // D = A + A' to create an undirected multigraph D</a>
+<a name="230"><span class="lineNum">     230 </span>            :         //----------------------------------------------------------------------</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_new (&amp;D, GrB_FP64, n, n)) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :         GRB_TRY (GrB_eWiseAdd (D, NULL, NULL, GrB_PLUS_FP64, S, AT, NULL)) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :         GrB_free (&amp;AT) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span>            :         //----------------------------------------------------------------------</a>
+<a name="238"><span class="lineNum">     238 </span>            :         // U = triu(D)</a>
+<a name="239"><span class="lineNum">     239 </span>            :         //----------------------------------------------------------------------</a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            :         // note that L=U' since D is symmetric</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :         GRB_TRY (GxB_select (U, NULL, NULL, GxB_TRIU, D, NULL, NULL)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :         GrB_free (&amp;D) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :     }</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="247"><span class="lineNum">     247 </span>            :     // Find wedges of each node</a>
+<a name="248"><span class="lineNum">     248 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span>            :     // W(i) = sum (C (i,:))</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;W, GrB_FP64, n)) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">         10 :     GRB_TRY (GrB_reduce (W, NULL, NULL, GrB_PLUS_FP64, C, NULL)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :     // Compute vector W defining the number of wedges per vertex</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         10 :     if (symmetric)</span></a>
+<a name="256"><span class="lineNum">     256 </span>            :     {</a>
+<a name="257"><span class="lineNum">     257 </span>            :         // the graph is undirected</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          9 :         GRB_TRY (GrB_apply(W, NULL, NULL, LAGraph_COMB_UNDIR_FP64, W, NULL));</span></a>
+<a name="259"><span class="lineNum">     259 </span>            :     }</a>
+<a name="260"><span class="lineNum">     260 </span>            :     else</a>
+<a name="261"><span class="lineNum">     261 </span>            :     {</a>
+<a name="262"><span class="lineNum">     262 </span>            :         // the graph is directed</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :         GRB_TRY (GrB_apply(W, NULL, NULL, LAGraph_COMB_DIR_FP64, W, NULL)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span>            :     }</a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="267"><span class="lineNum">     267 </span>            :     // Calculate triangles</a>
+<a name="268"><span class="lineNum">     268 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span>            :     // CL&lt;C&gt; = C*L = C*U' using a masked dot product</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_new (&amp;CL, GrB_FP64, n, n)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">         10 :     GRB_TRY (GrB_mxm (CL, C, NULL, GrB_PLUS_TIMES_SEMIRING_FP64, C, U,</span></a>
+<a name="273"><span class="lineNum">     273 </span>            :                          GrB_DESC_T1));</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">         10 :     GrB_free (&amp;U) ; U = NULL;</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="277"><span class="lineNum">     277 </span>            :     // Calculate LCC</a>
+<a name="278"><span class="lineNum">     278 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            :     // LCC(i) = sum (CL (i,:)) = # of triangles at each node</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;LCC, GrB_FP64, n)) ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         10 :     GRB_TRY (GrB_reduce (LCC, NULL, NULL, GrB_PLUS_FP64, CL, NULL)) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">         10 :     GrB_free (&amp;CL) ; CL = NULL;</span></a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :     // LCC = LCC ./ W</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         10 :     GRB_TRY (GrB_eWiseMult (LCC, NULL, NULL, GrB_DIV_FP64, LCC, W, NULL)) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span>            : </a>
+<a name="288"><span class="lineNum">     288 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="289"><span class="lineNum">     289 </span>            :     // free workspace and return result</a>
+<a name="290"><span class="lineNum">     290 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">         10 :     (*LCC_handle) = LCC ; LCC = NULL ;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">         10 :     LG_FREE_ALL ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">         10 :     t [1] = LAGraph_WallClockTime ( ) - t [1] ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">         10 :     return (GrB_SUCCESS) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span>            : #endif</a>
+<a name="298"><span class="lineNum">     298 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_msf.c.func-sort-c.html b/experimental/algorithm/LAGraph_msf.c.func-sort-c.html
new file mode 100644
index 0000000000..3cbf41ec0c
--- /dev/null
+++ b/experimental/algorithm/LAGraph_msf.c.func-sort-c.html
@@ -0,0 +1,100 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_msf.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_msf.c<span style="font-size: 80%;"> (<a href="LAGraph_msf.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_msf.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#104">LAGraph_msf</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#65">Reduce_assign</a></td>
+              <td class="coverFnHi">30</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#53">get_fst</a></td>
+              <td class="coverFnHi">9771</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#58">get_snd</a></td>
+              <td class="coverFnHi">16258</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#48">combine</a></td>
+              <td class="coverFnHi">103852</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#89">f1</a></td>
+              <td class="coverFnHi">192530</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#97">f2</a></td>
+              <td class="coverFnHi">192530</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_msf.c.func.html b/experimental/algorithm/LAGraph_msf.c.func.html
new file mode 100644
index 0000000000..7f00520904
--- /dev/null
+++ b/experimental/algorithm/LAGraph_msf.c.func.html
@@ -0,0 +1,100 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_msf.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_msf.c<span style="font-size: 80%;"> (<a href="LAGraph_msf.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_msf.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#104">LAGraph_msf</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#65">Reduce_assign</a></td>
+              <td class="coverFnHi">30</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#48">combine</a></td>
+              <td class="coverFnHi">103852</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#89">f1</a></td>
+              <td class="coverFnHi">192530</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#97">f2</a></td>
+              <td class="coverFnHi">192530</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#53">get_fst</a></td>
+              <td class="coverFnHi">9771</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_msf.c.gcov.html#58">get_snd</a></td>
+              <td class="coverFnHi">16258</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_msf.c.gcov.html b/experimental/algorithm/LAGraph_msf.c.gcov.html
new file mode 100644
index 0000000000..0c624b0949
--- /dev/null
+++ b/experimental/algorithm/LAGraph_msf.c.gcov.html
@@ -0,0 +1,354 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_msf.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_msf.c<span style="font-size: 80%;"> (source / <a href="LAGraph_msf.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntry">130</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_msf.c</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Yongzhe Zhang (zyz915@gmail.com)</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : /**</a>
+<a name="19"><span class="lineNum">      19 </span>            :  * Code is based on Boruvka's minimum spanning forest algorithm</a>
+<a name="20"><span class="lineNum">      20 </span>            :  */</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #define LG_FREE_ALL                                  \</a>
+<a name="23"><span class="lineNum">      23 </span>            : {                                                    \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;S);                                   \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_free (&amp;T);                                   \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     free(I); free(V);                                \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     free(SI); free(SJ); free(SX);                    \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     free(parent); free(partner); free(weight);       \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (&amp;f);                      \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_free (&amp;i);                      \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (&amp;t);                      \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_free (&amp;edge);                   \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     GrB_free (&amp;cedge);                  \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     GrB_free (&amp;mask);                   \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;index);                  \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;comb);                   \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;combMin);                \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;fst);                    \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;snd);                    \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free (&amp;s1);                     \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_free (&amp;s2);                     \</a>
+<a name="42"><span class="lineNum">      42 </span>            : }</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="45"><span class="lineNum">      45 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="46"><span class="lineNum">      46 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //****************************************************************************</a>
+<a name="49"><span class="lineNum">      49 </span>            : // encode each edge into a single uint64_t</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">     103852 : static void combine (void *z, const void *x, const void *y)</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : {</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">     103852 :     *(uint64_t*)z = ((*(uint64_t*)x) &lt;&lt; 32) + (*(uint64_t*)y);</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">     103852 : }</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">       9771 : static void get_fst (void *y, const void *x)</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : {</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">       9771 :     *(uint64_t*)y = (*(uint64_t*)x) &gt;&gt; 32;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">       9771 : }</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">      16258 : static void get_snd (void *y, const void *x)</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : {</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">      16258 :     *(uint64_t*)y = (*(uint64_t*)x) &amp; INT_MAX;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">      16258 : }</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            : //****************************************************************************</a>
+<a name="66"><span class="lineNum">      66 </span>            : // w[index[i]] = min(w[index[i]], s[i]) for i in [0..n-1]</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">         30 : static GrB_Info Reduce_assign (GrB_Vector w,</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :         GrB_Vector s, GrB_Index *index, GrB_Index n)</a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         30 :     GrB_Index *mem = (GrB_Index*) malloc(sizeof(GrB_Index) * n * 3);</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         30 :     GrB_Index *ind = mem, *sval = mem + n, *wval = sval + n;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">         30 :     GrB_Vector_extractTuples(ind, wval, &amp;n, w);</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">         30 :     GrB_Vector_extractTuples(ind, sval, &amp;n, s);</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">      13004 :     for (GrB_Index i = 0; i &lt; n; i++)</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">      12974 :         if (sval[i] &lt; wval[index[i]])</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">       6603 :             wval[index[i]] = sval[i];</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         30 :     GrB_Vector_clear(w);</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         30 :     GrB_Vector_build(w, ind, wval, n, GrB_PLUS_UINT64);</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         30 :     free(mem);</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">         30 :     return GrB_SUCCESS;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : }</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : //****************************************************************************</a>
+<a name="84"><span class="lineNum">      84 </span>            : // global C arrays (for implementing various GxB_SelectOp)</a>
+<a name="85"><span class="lineNum">      85 </span>            : static GrB_Index *weight = NULL, *parent = NULL, *partner = NULL;</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : // generate solution:</a>
+<a name="88"><span class="lineNum">      88 </span>            : // for each element A(i, j), it is selected if</a>
+<a name="89"><span class="lineNum">      89 </span>            : //   1. weight[i] == A(i, j)    -- where weight[i] stores i's minimum edge weight</a>
+<a name="90"><span class="lineNum">      90 </span>            : //   2. parent[j] == partner[i] -- j belongs to the specified connected component</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">     192530 : void f1 (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk)</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : {</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">     192530 :     uint64_t *aij = (uint64_t*) x;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">     192530 :     (*z) = (weight[i] == *aij) &amp;&amp; (parent[j] == partner[i]);</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">     192530 : }</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : // edge removal:</a>
+<a name="98"><span class="lineNum">      98 </span>            : // A(i, j) is removed when parent[i] == parent[j]</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">     192530 : void f2 (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">     192530 :     (*z) = (parent[i] != parent[j]);</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">     192530 : }</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : //****************************************************************************</a>
+<a name="105"><span class="lineNum">     105 </span>            : //****************************************************************************</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         12 : int LAGraph_msf</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : (</a>
+<a name="108"><span class="lineNum">     108 </span>            :     GrB_Matrix *result, // output: an unsymmetrical matrix, the spanning forest</a>
+<a name="109"><span class="lineNum">     109 </span>            :     GrB_Matrix A,       // input matrix</a>
+<a name="110"><span class="lineNum">     110 </span>            :     bool sanitize,      // if true, ensure A is symmetric</a>
+<a name="111"><span class="lineNum">     111 </span>            :     char *msg</a>
+<a name="112"><span class="lineNum">     112 </span>            : )</a>
+<a name="113"><span class="lineNum">     113 </span>            : {</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         12 :     LG_CLEAR_MSG ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="118"><span class="lineNum">     118 </span>            :     return (GrB_NOT_IMPLEMENTED) ;</a>
+<a name="119"><span class="lineNum">     119 </span>            : #else</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :     GrB_Info info;</a>
+<a name="122"><span class="lineNum">     122 </span>            :     GrB_Index n;</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         12 :     GrB_Matrix S = NULL, T = NULL;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         12 :     GrB_Vector f = NULL, i = NULL, t = NULL,</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         12 :         edge = NULL, cedge = NULL, mask = NULL, index = NULL;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         12 :     GrB_Index *I = NULL, *V = NULL, *SI = NULL, *SJ = NULL, *SX = NULL;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         12 :     GrB_BinaryOp comb = NULL;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         12 :     GrB_Semiring combMin = NULL;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         12 :     GrB_UnaryOp fst = NULL, snd = NULL;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         12 :     GrB_IndexUnaryOp s1 = NULL, s2 = NULL;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         12 :     if (result == NULL || A == NULL) return (GrB_NULL_POINTER) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span>            :     GrB_Index ncols ;</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         11 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A));</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         11 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A));</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         11 :     if (n != ncols) return (GrB_DIMENSION_MISMATCH) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         10 :     if (sanitize)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     {</a>
+<a name="142"><span class="lineNum">     142 </span>            :         // S = A+A'</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_new (&amp;S, GrB_UINT64, n, n));</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :         GRB_TRY (GrB_eWiseAdd (S, 0, 0, GrB_PLUS_UINT64, A, A, GrB_DESC_T1));</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :     }</a>
+<a name="146"><span class="lineNum">     146 </span>            :     else</a>
+<a name="147"><span class="lineNum">     147 </span>            :     {</a>
+<a name="148"><span class="lineNum">     148 </span>            :         // Use the input as-is, and assume it is GrB_UINT64 and symmetric</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Matrix_dup (&amp;S, A));</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     }</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_new (&amp;T, GrB_UINT64, n, n));</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_UINT64, n));</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;f, GrB_UINT64, n));</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;i, GrB_UINT64, n));</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;edge, GrB_UINT64, n));</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;cedge, GrB_UINT64, n));</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;mask, GrB_BOOL, n));</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_new (&amp;index, GrB_UINT64, n));</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span>            :     // temporary arrays</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         10 :     I = malloc (sizeof(GrB_Index) * n);</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         10 :     V = malloc (sizeof(GrB_Index) * n);</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         10 :     SI = malloc (sizeof(GrB_Index) * n * 2);</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         10 :     SJ = malloc (sizeof(GrB_Index) * n * 2);</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         10 :     SX = malloc (sizeof(GrB_Index) * n * 2);</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            :     // global arrays</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         10 :     parent = malloc (sizeof(GrB_Index) * n);</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         10 :     weight = malloc (sizeof(GrB_Index) * n);</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         10 :     partner = malloc (sizeof(GrB_Index) * n);</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :     // prepare vectors</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">       3304 :     for (GrB_Index i = 0; i &lt; n; i++)</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">       3294 :         I[i] = parent[i] = i;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Vector_build (f, I, parent, n, GrB_PLUS_UINT64));</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         10 :     GRB_TRY (GrB_assign (i, 0, 0, f, GrB_ALL, 0, 0));</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span>            :     // semiring &amp; monoid</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         10 :     GrB_Index inf = ((uint64_t) INT_MAX &lt;&lt; 32) ^ INT_MAX;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         10 :     GRB_TRY (GrB_BinaryOp_new (&amp;comb, combine, GrB_UINT64, GrB_UINT64, GrB_UINT64));</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Semiring_new (&amp;combMin, GrB_MIN_MONOID_UINT64, comb));</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         10 :     GRB_TRY (GrB_UnaryOp_new (&amp;fst, get_fst, GrB_UINT64, GrB_UINT64));</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         10 :     GRB_TRY (GrB_UnaryOp_new (&amp;snd, get_snd, GrB_UINT64, GrB_UINT64));</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :     // GrB_SelectOp</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         10 :     GrB_IndexUnaryOp_new (&amp;s1, (void *) f1, GrB_BOOL, GrB_UINT64, GrB_UINT64);</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         10 :     GrB_IndexUnaryOp_new (&amp;s2, (void *) f2, GrB_BOOL, GrB_UINT64, GrB_UINT64);</span></a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :     // the main computation</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         10 :     GrB_Index nvals, diff, ntuples = 0, num;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, S));</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         15 :     for (int iters = 1; nvals &gt; 0; iters++)</span></a>
+<a name="195"><span class="lineNum">     195 </span>            :     {</a>
+<a name="196"><span class="lineNum">     196 </span>            :         // every vertex points to a root vertex at the beginning</a>
+<a name="197"><span class="lineNum">     197 </span>            :         // edge[u] = u's minimum edge (weight and index are encoded together)</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (edge, 0, 0, inf, GrB_ALL, 0, 0));</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         15 :         GRB_TRY (GrB_mxv (edge, 0, GrB_MIN_UINT64, combMin, S, f, 0));</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :         // cedge[u] = children's minimum edge  | if u is a root</a>
+<a name="201"><span class="lineNum">     201 </span>            :         //          = (INT_MAX, u)             | otherwise</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (t, 0, 0, (uint64_t) INT_MAX, GrB_ALL, 0, 0));</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (cedge, 0, 0, comb, t, i, 0));</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         15 :         LG_TRY (Reduce_assign (cedge, edge, parent, n));</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :         // if (f[u] == u) f[u] := snd(cedge[u])  -- the index part of the edge</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_EQ_UINT64, f, i, 0));</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         15 :         GRB_TRY (GrB_apply (f, mask, GrB_SECOND_UINT64, snd, cedge, 0));</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :         // identify all the vertex pairs (u, v) where f[u] == v and f[v] == u</a>
+<a name="209"><span class="lineNum">     209 </span>            :         // and then select the minimum of u, v as the new root;</a>
+<a name="210"><span class="lineNum">     210 </span>            :         // if (f[f[i]] == i) f[i] = min(f[i], i)</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, f));</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         15 :         GRB_TRY (GrB_extract (t, 0, 0, f, V, n, 0));</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_EQ_UINT64, i, t, 0));</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (f, mask, GrB_MIN_UINT64, i, GrB_ALL, 0, 0));</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :         // five steps to generate the solution</a>
+<a name="217"><span class="lineNum">     217 </span>            :         // 1. new roots (f[i] == i) revise their entries in cedge</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_EQ_UINT64, i, f, 0));</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (cedge, mask, 0, inf, GrB_ALL, 0, 0));</span></a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span>            :         // 2. every vertex tries to know whether one of its edges is selected</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         15 :         GRB_TRY (GrB_extract (t, 0, 0, cedge, parent, n, 0));</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (mask ,0, 0, GrB_EQ_UINT64, edge, t, 0));</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            :         // 3. each root picks a vertex from its children to generate the solution</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (index, 0, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (index, mask, 0, i, GrB_ALL, 0, 0));</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (t, 0, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         15 :         LG_TRY (Reduce_assign (t, index, parent, n));</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         15 :         GRB_TRY (GrB_extract (index, 0, 0, t, parent, n, 0));</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         15 :         GRB_TRY (GrB_eWiseMult (mask ,0, 0, GrB_EQ_UINT64, i, index, 0));</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :         // 4. generate the select function (set the global pointers)</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (t, 0, 0, inf, GrB_ALL, 0, 0));</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">         15 :         GRB_TRY (GrB_apply (t, mask, 0, fst, edge, 0));</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (I, weight, &amp;n, t));</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">         15 :         GRB_TRY (GrB_assign (t, 0, 0, inf, GrB_ALL, 0, 0));</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         15 :         GRB_TRY (GrB_apply (t, mask, 0, snd, edge, 0));</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (I, partner, &amp;n, t));</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">         15 :         GRB_TRY (GrB_select (T, 0, 0, s1, S, 0, 0));</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_clear (t));</span></a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            :         // 5. the generated matrix may still have redundant edges</a>
+<a name="244"><span class="lineNum">     244 </span>            :         //    remove the duplicates by GrB_mxv() and store them as tuples</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_clear (edge));</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">         15 :         GRB_TRY (GrB_mxv (edge, mask, GrB_MIN_UINT64, combMin, T, i, 0));</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_nvals (&amp;num, edge));</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">         15 :         GRB_TRY (GrB_apply (t, 0, 0, snd, edge, 0));</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (SI + ntuples, SJ + ntuples, &amp;num, t));</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         15 :         GRB_TRY (GrB_apply (t, 0, 0, fst, edge, 0));</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (SI + ntuples, SX + ntuples, &amp;num, t));</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_clear (t));</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">         15 :         ntuples += num;</span></a>
+<a name="254"><span class="lineNum">     254 </span>            : </a>
+<a name="255"><span class="lineNum">     255 </span>            :         // path halving until every vertex points on a root</a>
+<a name="256"><span class="lineNum">     256 </span>            :         do {</a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         45 :             GRB_TRY (GrB_Vector_extractTuples (I, V, &amp;n, f));</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         45 :             GRB_TRY (GrB_extract (t, 0, 0, f, V, n, 0));</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         45 :             GRB_TRY (GrB_eWiseMult (mask, 0, 0, GrB_NE_UINT64, f, t, 0));</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">         45 :             GRB_TRY (GrB_assign (f, 0, 0, t, GrB_ALL, 0, 0));</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">         45 :             GRB_TRY (GrB_reduce (&amp;diff, 0, GrB_PLUS_MONOID_UINT64, mask, 0));</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">         45 :         } while (diff != 0);</span></a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span>            :         // remove the edges in the same connected component</a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         15 :         GRB_TRY (GrB_Vector_extractTuples (I, parent, &amp;n, f));</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">         15 :         GRB_TRY (GrB_select (S, 0, 0, s2, S, 0, 0));</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         15 :         GrB_Matrix_nvals (&amp;nvals, S);</span></a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">         15 :         if (nvals == 0) break;</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :     }</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_clear (T));</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         10 :     GRB_TRY (GrB_Matrix_build (T, SI, SJ, SX, ntuples, GrB_SECOND_UINT64));</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">         10 :     *result = T;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">         10 :     T = NULL ;</span></a>
+<a name="274"><span class="lineNum">     274 </span>            : </a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">         10 :     LG_FREE_ALL;</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         10 :     return GrB_SUCCESS;</span></a>
+<a name="277"><span class="lineNum">     277 </span>            : #endif</a>
+<a name="278"><span class="lineNum">     278 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_scc.c.func-sort-c.html b/experimental/algorithm/LAGraph_scc.c.func-sort-c.html
new file mode 100644
index 0000000000..c015c6fa45
--- /dev/null
+++ b/experimental/algorithm/LAGraph_scc.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_scc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_scc.c<span style="font-size: 80%;"> (<a href="LAGraph_scc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_scc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#109">LAGraph_scc</a></td>
+              <td class="coverFnHi">53</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#75">propagate</a></td>
+              <td class="coverFnHi">160</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#62">trim_one</a></td>
+              <td class="coverFnHi">127480</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#50">edge_removal</a></td>
+              <td class="coverFnHi">1515400</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_scc.c.func.html b/experimental/algorithm/LAGraph_scc.c.func.html
new file mode 100644
index 0000000000..7a68bd98f6
--- /dev/null
+++ b/experimental/algorithm/LAGraph_scc.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_scc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_scc.c<span style="font-size: 80%;"> (<a href="LAGraph_scc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_scc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#109">LAGraph_scc</a></td>
+              <td class="coverFnHi">53</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#50">edge_removal</a></td>
+              <td class="coverFnHi">1515400</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#75">propagate</a></td>
+              <td class="coverFnHi">160</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_scc.c.gcov.html#62">trim_one</a></td>
+              <td class="coverFnHi">127480</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LAGraph_scc.c.gcov.html b/experimental/algorithm/LAGraph_scc.c.gcov.html
new file mode 100644
index 0000000000..52a5f4188f
--- /dev/null
+++ b/experimental/algorithm/LAGraph_scc.c.gcov.html
@@ -0,0 +1,321 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LAGraph_scc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LAGraph_scc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_scc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_scc.c</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Yongzhe Zhang (zyz915@gmail.com)</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : /**</a>
+<a name="19"><span class="lineNum">      19 </span>            :  * Code is based on the Min-Label algorithm described in the following paper:</a>
+<a name="20"><span class="lineNum">      20 </span>            :  * D. Yan, J. Cheng, K. Xin, Y. Lu, W. Ng, Y. Bu, &quot;Pregel Algorithms for Graph</a>
+<a name="21"><span class="lineNum">      21 </span>            :  * Connectivity Problems with Performance Guarantees&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            :  * Proc. VLDB Endow. 7, 14 (October 2014), 1821–1832.</a>
+<a name="23"><span class="lineNum">      23 </span>            :  * DOI: https://doi.org/10.14778/2733085.2733089</a>
+<a name="24"><span class="lineNum">      24 </span>            :  **/</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #define LG_FREE_ALL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : //****************************************************************************</a>
+<a name="35"><span class="lineNum">      35 </span>            : // global C arrays used in SelectOp</a>
+<a name="36"><span class="lineNum">      36 </span>            : GrB_Index *I = NULL, *V = NULL, *F = NULL, *B = NULL, *M = NULL;</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // edge_removal:</a>
+<a name="39"><span class="lineNum">      39 </span>            : //  - remove the edges connected to newly identified SCCs (vertices u with M[u]==1)</a>
+<a name="40"><span class="lineNum">      40 </span>            : //  - remove the edges (u, v) where u and v can never be in the same SCC.</a>
+<a name="41"><span class="lineNum">      41 </span>            : //</a>
+<a name="42"><span class="lineNum">      42 </span>            : // Here's a brief explanation of the second case. After the forward and backward</a>
+<a name="43"><span class="lineNum">      43 </span>            : // propagation, each vertex u has two labels</a>
+<a name="44"><span class="lineNum">      44 </span>            : //  - F[u]: the smallest vertex that can reach u</a>
+<a name="45"><span class="lineNum">      45 </span>            : //  - B[u]: the smallest vertex that is reachable from u</a>
+<a name="46"><span class="lineNum">      46 </span>            : // If two vertices u and v are in the same SCC, then F[u]==F[v] and B[u]==B[v] must</a>
+<a name="47"><span class="lineNum">      47 </span>            : // hold. The converse is not true unless F[u]==B[u]. However, we can safely remove</a>
+<a name="48"><span class="lineNum">      48 </span>            : // an edge (u, v) if either F[u]!=F[v] or B[u]!=B[v] holds, which can accelerate</a>
+<a name="49"><span class="lineNum">      49 </span>            : // the SCC computation in the future rounds.</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : void edge_removal (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk) ;</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">    1515400 : void edge_removal (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">    1515400 :     (*z) = (!M[i] &amp;&amp; !M[j] &amp;&amp; F[i] == F[j] &amp;&amp; B[i] == B[j]) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">    1515400 : }</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : //****************************************************************************</a>
+<a name="58"><span class="lineNum">      58 </span>            : // trim_one: remove the edges connected to trivial SCCs</a>
+<a name="59"><span class="lineNum">      59 </span>            : //  - A vertex is a trivial SCC if it has no incoming or outgoing edges.</a>
+<a name="60"><span class="lineNum">      60 </span>            : //  - M[i] = i   | if vertex i is a trivial SCC</a>
+<a name="61"><span class="lineNum">      61 </span>            : //    M[i] = n   | otherwise</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : void trim_one (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk) ;</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">     127480 : void trim_one (bool *z, const void *x, GrB_Index i, GrB_Index j, const void *thunk)</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : {</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">     127480 :     (*z) = (M[i] == M[j]) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">     127480 : }</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //****************************************************************************</a>
+<a name="70"><span class="lineNum">      70 </span>            : // label propagation</a>
+<a name="71"><span class="lineNum">      71 </span>            : //  - label  : (input/output) labels</a>
+<a name="72"><span class="lineNum">      72 </span>            : //  - mask   : (input) mask</a>
+<a name="73"><span class="lineNum">      73 </span>            : //  - A      : (input) original matrix</a>
+<a name="74"><span class="lineNum">      74 </span>            : //  - AT     : (input) transposed matrix</a>
+<a name="75"><span class="lineNum">      75 </span>            : //  - n      : (input) number of vertices</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        160 : static GrB_Info propagate (GrB_Vector label, GrB_Vector mask,</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :         GrB_Matrix A, GrB_Matrix AT, GrB_Index n, char *msg)</a>
+<a name="79"><span class="lineNum">      79 </span>            : {</a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_Info info;</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // semirings</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     GrB_Vector s, t;</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        160 :     GRB_TRY (GrB_Vector_new (&amp;s, GrB_UINT64, n));</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        160 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_UINT64, n));</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        160 :     GRB_TRY (GrB_assign (s, mask, 0, label, GrB_ALL, 0, 0));</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        160 :     GRB_TRY (GrB_assign (t, 0, 0, label, GrB_ALL, 0, 0));</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :     GrB_Index active;</a>
+<a name="90"><span class="lineNum">      90 </span>            :     while (true)</a>
+<a name="91"><span class="lineNum">      91 </span>            :     {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">       7186 :         GRB_TRY (GrB_vxm (t, 0, GrB_MIN_UINT64,</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :                                  GrB_MIN_FIRST_SEMIRING_UINT64, s, A, 0));</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       7186 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISNE_UINT64, t, label, 0));</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">       7186 :         GRB_TRY (GrB_assign (label, mask, 0, t, GrB_ALL, 0, 0));</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       7186 :         GRB_TRY (GrB_reduce (&amp;active, 0, GrB_PLUS_MONOID_UINT64, mask, 0));</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       7186 :         if (active == 0) break;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">       7026 :         GRB_TRY (GrB_Vector_clear (s));</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">       7026 :         GRB_TRY (GrB_assign (s, mask, 0, label, GrB_ALL, 0, 0));</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     }</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        160 :     GRB_TRY (GrB_free (&amp;s));</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        160 :     GRB_TRY (GrB_free (&amp;t));</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        160 :     return GrB_SUCCESS;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : }</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            : #endif</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            : //****************************************************************************</a>
+<a name="110"><span class="lineNum">     110 </span>            : //****************************************************************************</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         53 : int LAGraph_scc</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : (</a>
+<a name="113"><span class="lineNum">     113 </span>            :     GrB_Vector *result,     // output: array of component identifiers</a>
+<a name="114"><span class="lineNum">     114 </span>            :     GrB_Matrix A,           // input matrix</a>
+<a name="115"><span class="lineNum">     115 </span>            :     char *msg</a>
+<a name="116"><span class="lineNum">     116 </span>            : )</a>
+<a name="117"><span class="lineNum">     117 </span>            : {</a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         53 :     LG_CLEAR_MSG ;</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="121"><span class="lineNum">     121 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="122"><span class="lineNum">     122 </span>            : #else</a>
+<a name="123"><span class="lineNum">     123 </span>            :     GrB_Info info;</a>
+<a name="124"><span class="lineNum">     124 </span>            :     GrB_Vector scc;</a>
+<a name="125"><span class="lineNum">     125 </span>            :     GrB_Vector ind;</a>
+<a name="126"><span class="lineNum">     126 </span>            :     GrB_Vector inf;</a>
+<a name="127"><span class="lineNum">     127 </span>            :     GrB_Vector f, b, mask;</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         53 :     GrB_IndexUnaryOp sel1 = NULL, sel2 = NULL ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :     GrB_Monoid Add;</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         53 :     if (result == NULL || A == NULL) return (GrB_NULL_POINTER) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     GrB_Index n, ncols, nvals;</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         52 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A));</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         52 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A));</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         52 :     if (n != ncols) return (GrB_DIMENSION_MISMATCH) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :     // store the graph in both directions (forward / backward)</a>
+<a name="139"><span class="lineNum">     139 </span>            :     GrB_Matrix FW, BW;</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Matrix_new (&amp;FW, GrB_BOOL, n, n));</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Matrix_new (&amp;BW, GrB_BOOL, n, n));</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         51 :     GRB_TRY (GrB_transpose (FW, 0, 0, A, GrB_DESC_T0)); // FW = A</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         51 :     GRB_TRY (GrB_transpose (BW, 0, 0, A, 0));     // BW = A'</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :     // check format</a>
+<a name="146"><span class="lineNum">     146 </span>            :     GxB_Format_Value A_format, AT_format;</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         51 :     GRB_TRY (GxB_get (FW, GxB_FORMAT, &amp;A_format));</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         51 :     GRB_TRY (GxB_get (BW, GxB_FORMAT, &amp;AT_format));</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         51 :     bool is_csr = (A_format == GxB_BY_ROW &amp;&amp; AT_format == GxB_BY_ROW);</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         51 :     if (!is_csr) return (GrB_INVALID_VALUE) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         51 :     I = (GrB_Index*) malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         51 :     V = (GrB_Index*) malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         51 :     F = (GrB_Index*) malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         51 :     B = (GrB_Index*) malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         51 :     M = (GrB_Index*) malloc(sizeof(GrB_Index) * n);</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">      19605 :     for (GrB_Index i = 0; i &lt; n; i++)</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">      19554 :         I[i] = V[i] = i;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     // scc: the SCC identifier for each vertex</a>
+<a name="162"><span class="lineNum">     162 </span>            :     // scc[u] == n: not assigned yet</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;scc, GrB_UINT64, n));</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :     // vector of indices: ind[i] == i</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;ind, GrB_UINT64, n));</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_build (ind, I, V, n, GrB_PLUS_UINT64));</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     // vector of infinite value: inf[i] == n</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;inf, GrB_UINT64, n));</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         51 :     GRB_TRY (GrB_assign (inf, 0, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :     // other vectors</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;f, GrB_UINT64, n));</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;b, GrB_UINT64, n));</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_new (&amp;mask, GrB_UINT64, n));</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">         51 :     GRB_TRY (GrB_IndexUnaryOp_new (&amp;sel1, (void *) trim_one, GrB_BOOL, GrB_UINT64, GrB_UINT64));</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         51 :     GRB_TRY (GrB_IndexUnaryOp_new (&amp;sel2, (void *) edge_removal, GrB_BOOL, GrB_UINT64, GrB_UINT64));</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :     // remove trivial SCCs</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         51 :     GRB_TRY (GrB_reduce (f, 0, GrB_PLUS_UINT64, GrB_PLUS_UINT64, FW, 0));</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         51 :     GRB_TRY (GrB_reduce (b, 0, GrB_PLUS_UINT64, GrB_PLUS_UINT64, BW, 0));</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         51 :     GRB_TRY (GrB_eWiseMult (mask, 0, GxB_LAND_UINT64, GxB_LAND_UINT64, f, b, 0));</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, mask));</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         51 :     GRB_TRY (GrB_assign (scc, 0, 0, ind, GrB_ALL, 0, 0));</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         51 :     GRB_TRY (GrB_assign (scc, mask, 0, n, GrB_ALL, 0, 0));</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Vector_clear (mask));</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         51 :     if (nvals &lt; n)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     {</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Vector_extractTuples (I, M, &amp;n, scc));</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          9 :         GRB_TRY (GrB_select (FW, 0, 0, sel1, FW, 0, 0));</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          9 :         GRB_TRY (GrB_select (BW, 0, 0, sel1, BW, 0, 0));</span></a>
+<a name="192"><span class="lineNum">     192 </span>            :     }</a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         51 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, FW));</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        131 :     while (nvals &gt; 0)</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :     {</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         80 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISEQ_UINT64, scc, inf, 0));</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         80 :         GRB_TRY (GrB_assign (f, 0, 0, ind, GrB_ALL, 0, 0));</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         80 :         LG_TRY (propagate (f, mask, FW, BW, n, msg));</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         80 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISEQ_UINT64, f, ind, 0));</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         80 :         GRB_TRY (GrB_assign (b, 0, 0, inf, GrB_ALL, 0, 0));</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         80 :         GRB_TRY (GrB_assign (b, mask, 0, ind, GrB_ALL, 0, 0));</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         80 :         LG_TRY (propagate (b, mask, BW, FW, n, msg));</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">         80 :         GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISEQ_UINT64, f, b, 0));</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         80 :         GRB_TRY (GrB_assign (scc, mask, GrB_MIN_UINT64, f, GrB_ALL, 0, 0));</span></a>
+<a name="208"><span class="lineNum">     208 </span>            : </a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">         80 :         GRB_TRY (GrB_Vector_extractTuples (I, F, &amp;n, f));</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         80 :         GRB_TRY (GrB_Vector_extractTuples (I, B, &amp;n, b));</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         80 :         GRB_TRY (GrB_Vector_extractTuples (I, M, &amp;n, mask));</span></a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         80 :         GRB_TRY (GrB_select (FW, 0, 0, sel2, FW, 0, 0));</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         80 :         GRB_TRY (GrB_select (BW, 0, 0, sel2, BW, 0, 0));</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         80 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals, FW));</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :     }</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         51 :     GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISEQ_UINT64, scc, inf, 0));</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         51 :     GRB_TRY (GrB_assign (scc, mask, 0, ind, GrB_ALL, 0, 0));</span></a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">         51 :     GRB_TRY (GrB_eWiseMult (mask, 0, 0, GxB_ISEQ_UINT64, scc, ind, 0));</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         51 :     GRB_TRY (GrB_reduce (&amp;nvals, 0, GrB_PLUS_MONOID_UINT64, mask, 0));</span></a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         51 :     *result = scc;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         51 :     scc = NULL;</span></a>
+<a name="226"><span class="lineNum">     226 </span>            : </a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         51 :     free (I);</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         51 :     free (V);</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         51 :     free (F);</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         51 :     free (B);</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         51 :     free (M);</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         51 :     GrB_free (&amp;ind);</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         51 :     GrB_free (&amp;inf);</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         51 :     GrB_free (&amp;f);</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">         51 :     GrB_free (&amp;b);</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         51 :     GrB_free (&amp;mask);</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">         51 :     GrB_free (&amp;FW);</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         51 :     GrB_free (&amp;BW);</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         51 :     GrB_free (&amp;sel1);</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">         51 :     GrB_free (&amp;sel2);</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">         51 :     GrB_free (&amp;scc);</span></a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">         51 :     return GrB_SUCCESS;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            : #endif</a>
+<a name="245"><span class="lineNum">     245 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LG_CC_FastSV5.c.func-sort-c.html b/experimental/algorithm/LG_CC_FastSV5.c.func-sort-c.html
new file mode 100644
index 0000000000..e24cb942f6
--- /dev/null
+++ b/experimental/algorithm/LG_CC_FastSV5.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LG_CC_FastSV5.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LG_CC_FastSV5.c<span style="font-size: 80%;"> (<a href="LG_CC_FastSV5.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_CC_FastSV5.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#130">ht_most_frequent</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#322">LG_CC_FastSV5</a></td>
+              <td class="coverFnHi">24</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#80">ht_init</a></td>
+              <td class="coverFnHi">48</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#96">ht_sample</a></td>
+              <td class="coverFnHi">48</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#162">Reduce_assign32</a></td>
+              <td class="coverFnHi">90</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LG_CC_FastSV5.c.func.html b/experimental/algorithm/LG_CC_FastSV5.c.func.html
new file mode 100644
index 0000000000..aca24f8d6b
--- /dev/null
+++ b/experimental/algorithm/LG_CC_FastSV5.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LG_CC_FastSV5.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LG_CC_FastSV5.c<span style="font-size: 80%;"> (<a href="LG_CC_FastSV5.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_CC_FastSV5.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#322">LG_CC_FastSV5</a></td>
+              <td class="coverFnHi">24</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#162">Reduce_assign32</a></td>
+              <td class="coverFnHi">90</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#80">ht_init</a></td>
+              <td class="coverFnHi">48</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#130">ht_most_frequent</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV5.c.gcov.html#96">ht_sample</a></td>
+              <td class="coverFnHi">48</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/LG_CC_FastSV5.c.gcov.html b/experimental/algorithm/LG_CC_FastSV5.c.gcov.html
new file mode 100644
index 0000000000..df1db0bcdc
--- /dev/null
+++ b/experimental/algorithm/LG_CC_FastSV5.c.gcov.html
@@ -0,0 +1,864 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm/LG_CC_FastSV5.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/algorithm</a> - LG_CC_FastSV5.c<span style="font-size: 80%;"> (source / <a href="LG_CC_FastSV5.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntry">203</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_CC_FastSV5: connected components</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Yongzhe Zhang; modified by Tim Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Code is based on the algorithm described in the following paper</a>
+<a name="19"><span class="lineNum">      19 </span>            : // Zhang, Azad, Hu. FastSV: FastSV: A Distributed-Memory Connected Component</a>
+<a name="20"><span class="lineNum">      20 </span>            : // Algorithm with Fast Convergence (SIAM PP20)</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // A subsequent update to the algorithm is here (which might not be reflected</a>
+<a name="23"><span class="lineNum">      23 </span>            : // in this code):</a>
+<a name="24"><span class="lineNum">      24 </span>            : //</a>
+<a name="25"><span class="lineNum">      25 </span>            : // Yongzhe Zhang, Ariful Azad, Aydin Buluc: Parallel algorithms for finding</a>
+<a name="26"><span class="lineNum">      26 </span>            : // connected components using linear algebra. J. Parallel Distributed Comput.</a>
+<a name="27"><span class="lineNum">      27 </span>            : // 144: 14-27 (2020).</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : // Modified by Tim Davis, Texas A&amp;M University</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // The input matrix A must be symmetric.  Self-edges (diagonal entries) are</a>
+<a name="32"><span class="lineNum">      32 </span>            : // OK, and are ignored.  The values and type of A are ignored; just its</a>
+<a name="33"><span class="lineNum">      33 </span>            : // structure is accessed.</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : // The matrix A must have dimension 2^32 or less.</a>
+<a name="36"><span class="lineNum">      36 </span>            : // todo: Need a 64-bit version of this method.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // todo: this function is not thread-safe, since it exports G-&gt;A and then</a>
+<a name="39"><span class="lineNum">      39 </span>            : // reimports it back.  G-&gt;A is unchanged when the function returns, but during</a>
+<a name="40"><span class="lineNum">      40 </span>            : // execution G-&gt;A is invalid.</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : // A note about &quot;todo&quot; and &quot;fixme&quot; in this file:  these do not need to be fixed</a>
+<a name="43"><span class="lineNum">      43 </span>            : // or changed for this method, since the revised version appears as</a>
+<a name="44"><span class="lineNum">      44 </span>            : // src/algorithm/LG_CC_FastSV6.c.  They have thus been changed here to lower</a>
+<a name="45"><span class="lineNum">      45 </span>            : // case.</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : // todo: free all workspace in LG_FREE_ALL</a>
+<a name="48"><span class="lineNum">      48 </span>            : #define LG_FREE_ALL ;</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : //------------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : // hash functions: todo describe me</a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            : // hash table size must be a power of 2</a>
+<a name="59"><span class="lineNum">      59 </span>            : #define HASH_SIZE 1024</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : // number of samples to insert into the hash table</a>
+<a name="62"><span class="lineNum">      62 </span>            : // todo: this seems to be a lot of entries for a HASH_SIZE of 1024.</a>
+<a name="63"><span class="lineNum">      63 </span>            : // There could be lots of collisions.</a>
+<a name="64"><span class="lineNum">      64 </span>            : #define HASH_SAMPLES 864</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : #define HASH(x) (((x &lt;&lt; 4) + x) &amp; (HASH_SIZE-1))</a>
+<a name="67"><span class="lineNum">      67 </span>            : #define NEXT(x) ((x + 23) &amp; (HASH_SIZE-1))</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // ht_init: todo describe me</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : // Clear the hash table counts (ht_val [0:HASH_SIZE-1] = 0), and set all hash</a>
+<a name="74"><span class="lineNum">      74 </span>            : // table entries as empty (ht_key [0:HASH_SIZE-1] =-1).</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : // todo: the memset of ht_key is confusing</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : // todo: the name &quot;ht_val&quot; is confusing.  It is not a value, but a count of</a>
+<a name="79"><span class="lineNum">      79 </span>            : // the number of times the value x = ht_key [h] has been inserted into the</a>
+<a name="80"><span class="lineNum">      80 </span>            : // hth position in the hash table.  It should be renamed ht_cnt.</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         48 : static inline void ht_init</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : (</a>
+<a name="84"><span class="lineNum">      84 </span>            :     int32_t *ht_key,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     int32_t *ht_val</a>
+<a name="86"><span class="lineNum">      86 </span>            : )</a>
+<a name="87"><span class="lineNum">      87 </span>            : {</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         48 :     memset (ht_key, -1, sizeof (int32_t) * HASH_SIZE) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         48 :     memset (ht_val,  0, sizeof (int32_t) * HASH_SIZE) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         48 : }</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            : //------------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : // ht_sample: todo describe me</a>
+<a name="94"><span class="lineNum">      94 </span>            : //------------------------------------------------------------------------------</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            : //</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         48 : static inline void ht_sample</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : (</a>
+<a name="100"><span class="lineNum">     100 </span>            :     uint32_t *V32,      // array of size n (todo: this is a bad variable name)</a>
+<a name="101"><span class="lineNum">     101 </span>            :     int32_t n,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     int32_t samples,    // number of samples to take from V32</a>
+<a name="103"><span class="lineNum">     103 </span>            :     int32_t *ht_key,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     int32_t *ht_val,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     uint64_t *seed</a>
+<a name="106"><span class="lineNum">     106 </span>            : )</a>
+<a name="107"><span class="lineNum">     107 </span>            : {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">      41520 :     for (int32_t k = 0 ; k &lt; samples ; k++)</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     {</a>
+<a name="110"><span class="lineNum">     110 </span>            :         // select an entry from V32 at random</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">      41472 :         int32_t x = V32 [LG_Random60 (seed) % n] ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            :         // find x in the hash table</a>
+<a name="114"><span class="lineNum">     114 </span>            :         // todo: make this loop a static inline function (see also below)</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">      41472 :         int32_t h = HASH (x) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">      46722 :         while (ht_key [h] != -1 &amp;&amp; ht_key [h] != x)</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :         {</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">       5250 :             h = NEXT (h) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :         }</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">      41472 :         ht_key [h] = x ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">      41472 :         ht_val [h]++ ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         48 : }</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : // ht_most_frequent: todo describe me</a>
+<a name="128"><span class="lineNum">     128 </span>            : //------------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            : // todo what if key is returned as -1?  Code breaks.  todo: handle this case</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          4 : static inline int32_t ht_most_frequent</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : (</a>
+<a name="134"><span class="lineNum">     134 </span>            :     int32_t *ht_key,</a>
+<a name="135"><span class="lineNum">     135 </span>            :     int32_t *ht_val</a>
+<a name="136"><span class="lineNum">     136 </span>            : )</a>
+<a name="137"><span class="lineNum">     137 </span>            : {</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          4 :     int32_t key = -1 ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          4 :     int32_t val = 0 ;                       // max (ht_val [0:HASH_SIZE-1])</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">       4100 :     for (int32_t h = 0 ; h &lt; HASH_SIZE ; h++)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     {</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">       4096 :         if (ht_val [h] &gt; val)</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :         {</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         10 :             key = ht_key [h] ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         10 :             val = ht_val [h] ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :         }</a>
+<a name="147"><span class="lineNum">     147 </span>            :     }</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          4 :     return (key) ;      // return most frequent key</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : }</a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            : //------------------------------------------------------------------------------</a>
+<a name="152"><span class="lineNum">     152 </span>            : // Reduce_assign32:  w (index) += s, using MIN as the &quot;+=&quot; accum operator</a>
+<a name="153"><span class="lineNum">     153 </span>            : //------------------------------------------------------------------------------</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            : // mask = NULL, accumulator = GrB_MIN_UINT32, descriptor = NULL.</a>
+<a name="156"><span class="lineNum">     156 </span>            : // Duplicates are summed with the accumulator, which differs from how</a>
+<a name="157"><span class="lineNum">     157 </span>            : // GrB_assign works.  GrB_assign states that the presence of duplicates results</a>
+<a name="158"><span class="lineNum">     158 </span>            : // in undefined behavior.  GrB_assign in SuiteSparse:GraphBLAS follows the</a>
+<a name="159"><span class="lineNum">     159 </span>            : // MATLAB rule, which discards all but the first of the duplicates.</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            : // todo: add this to GraphBLAS as a variant of GrB_assign, either as</a>
+<a name="162"><span class="lineNum">     162 </span>            : // GxB_assign_accum (or another name), or as a GxB_* descriptor setting.</a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         90 : static inline int Reduce_assign32</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : (</a>
+<a name="166"><span class="lineNum">     166 </span>            :     GrB_Vector *w_handle,   // vector of size n, all entries present</a>
+<a name="167"><span class="lineNum">     167 </span>            :     GrB_Vector *s_handle,   // vector of size n, all entries present</a>
+<a name="168"><span class="lineNum">     168 </span>            :     uint32_t *index,        // array of size n, can have duplicates</a>
+<a name="169"><span class="lineNum">     169 </span>            :     GrB_Index n,</a>
+<a name="170"><span class="lineNum">     170 </span>            :     int nthreads,</a>
+<a name="171"><span class="lineNum">     171 </span>            :     int32_t *ht_key,        // hash table</a>
+<a name="172"><span class="lineNum">     172 </span>            :     int32_t *ht_val,        // hash table (count of # of entries)</a>
+<a name="173"><span class="lineNum">     173 </span>            :     uint64_t *seed,         // random</a>
+<a name="174"><span class="lineNum">     174 </span>            :     char *msg</a>
+<a name="175"><span class="lineNum">     175 </span>            : )</a>
+<a name="176"><span class="lineNum">     176 </span>            : {</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            :     GrB_Type w_type, s_type ;</a>
+<a name="179"><span class="lineNum">     179 </span>            :     GrB_Index w_n, s_n, w_nvals, s_nvals, *w_i, *s_i, w_size, s_size ;</a>
+<a name="180"><span class="lineNum">     180 </span>            :     uint32_t *w_x, *s_x ;</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         90 :     bool s_iso = false ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="184"><span class="lineNum">     184 </span>            :     // export w and s</a>
+<a name="185"><span class="lineNum">     185 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :     // export the GrB_Vectors w and s as full arrays, to get direct access to</a>
+<a name="188"><span class="lineNum">     188 </span>            :     // their contents.  Note that this would fail if w or s are not full, with</a>
+<a name="189"><span class="lineNum">     189 </span>            :     // all entries present.</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         90 :     GRB_TRY (GxB_Vector_export_Full (w_handle, &amp;w_type, &amp;w_n, (void **) &amp;w_x,</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :         &amp;w_size, NULL, NULL)) ;</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         90 :     GRB_TRY (GxB_Vector_export_Full (s_handle, &amp;s_type, &amp;s_n, (void **) &amp;s_x,</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :         &amp;s_size, &amp;s_iso, NULL)) ;</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :     #if defined ( COVERAGE )</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">         90 :     if (n &gt;= 200)   // for test coverage only; do not use in production!!</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :     #else</a>
+<a name="198"><span class="lineNum">     198 </span>            :     if (nthreads &gt;= 4)</a>
+<a name="199"><span class="lineNum">     199 </span>            :     #endif</a>
+<a name="200"><span class="lineNum">     200 </span>            :     {</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :         // allocate a buf array for each thread, of size HASH_SIZE</a>
+<a name="203"><span class="lineNum">     203 </span>            :         uint32_t *mem ;</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         44 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;mem, nthreads*HASH_SIZE,</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :             sizeof (uint32_t), msg)) ;</a>
+<a name="206"><span class="lineNum">     206 </span>            :         // todo: check out-of-memory condition here</a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span>            :         // todo why is hashing needed here?  hashing is slow for what needs</a>
+<a name="209"><span class="lineNum">     209 </span>            :         // to be computed here.  GraphBLAS has fast MIN atomic monoids that</a>
+<a name="210"><span class="lineNum">     210 </span>            :         // do not require hashing.</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         44 :         ht_init (ht_key, ht_val) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         44 :         ht_sample (index, n, HASH_SAMPLES, ht_key, ht_val, seed) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :         int tid;</a>
+<a name="215"><span class="lineNum">     215 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         88 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :         {</a>
+<a name="218"><span class="lineNum">     218 </span>            :             // get the thread-specific buf array of size HASH_SIZE</a>
+<a name="219"><span class="lineNum">     219 </span>            :             // todo: buf is a bad variable name; it's not a &quot;buffer&quot;,</a>
+<a name="220"><span class="lineNum">     220 </span>            :             // but a local workspace to compute the local version of w_x.</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">         44 :             uint32_t *buf = mem + tid * HASH_SIZE ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :             // copy the values from the global hash table into buf</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">      45100 :             for (int32_t h = 0 ; h &lt; HASH_SIZE ; h++)</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :             {</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">      45056 :                 if (ht_key [h] != -1)</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :                 {</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">      15386 :                     buf [h] = w_x [ht_key [h]] ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :                 }</a>
+<a name="230"><span class="lineNum">     230 </span>            :             }</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            :             // this thread works on index [kstart:kend]</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         44 :             int32_t kstart = (n * tid + nthreads - 1) / nthreads ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         44 :             int32_t kend = (n * tid + n + nthreads - 1) / nthreads ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">      89968 :             for (int32_t k = kstart ; k &lt; kend ; k++)</span></a>
+<a name="236"><span class="lineNum">     236 </span>            :             {</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">      89924 :                 uint32_t i = index [k] ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            :                 // todo: make this loop a static inline function</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">      89924 :                 int32_t h = HASH (i) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">     126336 :                 while (ht_key [h] != -1 &amp;&amp; ht_key [h] != i)</span></a>
+<a name="242"><span class="lineNum">     242 </span>            :                 {</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">      36412 :                     h = NEXT (h) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :                 }</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">      89924 :                 if (ht_key [h] == -1)</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :                 {</a>
+<a name="248"><span class="lineNum">     248 </span>            :                     // todo is this a race condition?</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">      27790 :                     w_x [i] = LAGRAPH_MIN (w_x [i], s_x [s_iso?0:k]) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :                 }</a>
+<a name="251"><span class="lineNum">     251 </span>            :                 else</a>
+<a name="252"><span class="lineNum">     252 </span>            :                 {</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">      62134 :                     buf [h] = LAGRAPH_MIN (buf [h], s_x [s_iso?0:k]) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :                 }</a>
+<a name="255"><span class="lineNum">     255 </span>            :             }</a>
+<a name="256"><span class="lineNum">     256 </span>            :         }</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            :         // combine intermediate results from each thread</a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">      45100 :         for (int32_t h = 0 ; h &lt; HASH_SIZE ; h++)</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :         {</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">      45056 :             int32_t i = ht_key [h] ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">      45056 :             if (i != -1)</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :             {</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">      30772 :                 for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :                 {</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">      15386 :                     w_x [i] = LAGRAPH_MIN (w_x [i], mem [tid * HASH_SIZE + h]) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :                 }</a>
+<a name="268"><span class="lineNum">     268 </span>            :             }</a>
+<a name="269"><span class="lineNum">     269 </span>            :         }</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         44 :         LAGraph_Free ((void **) &amp;mem, NULL) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :     }</a>
+<a name="273"><span class="lineNum">     273 </span>            :     else</a>
+<a name="274"><span class="lineNum">     274 </span>            :     {</a>
+<a name="275"><span class="lineNum">     275 </span>            :         // sequential version</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">        728 :         for (GrB_Index k = 0 ; k &lt; n ; k++)</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :         {</a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">        682 :             uint32_t i = index [k] ;</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">        682 :             w_x [i] = LAGRAPH_MIN (w_x [i], s_x [s_iso?0:k]) ;</span></a>
+<a name="280"><span class="lineNum">     280 </span>            :         }</a>
+<a name="281"><span class="lineNum">     281 </span>            :     }</a>
+<a name="282"><span class="lineNum">     282 </span>            : </a>
+<a name="283"><span class="lineNum">     283 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="284"><span class="lineNum">     284 </span>            :     // reimport w and s back into GrB_Vectors, and return result</a>
+<a name="285"><span class="lineNum">     285 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span>            :     // s is unchanged.  It was exported only to compute w (index) += s</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">         90 :     GRB_TRY (GxB_Vector_import_Full (w_handle, w_type, w_n, (void **) &amp;w_x,</span></a>
+<a name="290"><span class="lineNum">     290 </span>            :         w_size, false, NULL)) ;</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">         90 :     GRB_TRY (GxB_Vector_import_Full (s_handle, s_type, s_n, (void **) &amp;s_x,</span></a>
+<a name="292"><span class="lineNum">     292 </span>            :         s_size, s_iso, NULL)) ;</a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">         90 :     return (GrB_SUCCESS) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span>            : }</a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span>            : //------------------------------------------------------------------------------</a>
+<a name="298"><span class="lineNum">     298 </span>            : // LG_CC_FastSV5</a>
+<a name="299"><span class="lineNum">     299 </span>            : //------------------------------------------------------------------------------</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            : // The output of LG_CC_FastSV5 is a vector component, where</a>
+<a name="302"><span class="lineNum">     302 </span>            : // component(i)=s if node i is in the connected compononent whose</a>
+<a name="303"><span class="lineNum">     303 </span>            : // representative node is node s.  If s is a representative, then</a>
+<a name="304"><span class="lineNum">     304 </span>            : // component(s)=s.  The number of connected components in the graph G is the</a>
+<a name="305"><span class="lineNum">     305 </span>            : // number of representatives.</a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span>            : #undef  LG_FREE_ALL</a>
+<a name="308"><span class="lineNum">     308 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="309"><span class="lineNum">     309 </span>            : {                                               \</a>
+<a name="310"><span class="lineNum">     310 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ;         \</a>
+<a name="311"><span class="lineNum">     311 </span>            :     LAGraph_Free ((void **) &amp;V32, NULL) ;       \</a>
+<a name="312"><span class="lineNum">     312 </span>            :     LAGraph_Free ((void **) &amp;ht_key, NULL) ;    \</a>
+<a name="313"><span class="lineNum">     313 </span>            :     LAGraph_Free ((void **) &amp;ht_val, NULL) ;    \</a>
+<a name="314"><span class="lineNum">     314 </span>            :     /* todo why is T not freed?? */             \</a>
+<a name="315"><span class="lineNum">     315 </span>            :     GrB_free (&amp;f) ;                             \</a>
+<a name="316"><span class="lineNum">     316 </span>            :     GrB_free (&amp;gp) ;                            \</a>
+<a name="317"><span class="lineNum">     317 </span>            :     GrB_free (&amp;mngp) ;                          \</a>
+<a name="318"><span class="lineNum">     318 </span>            :     GrB_free (&amp;gp_new) ;                        \</a>
+<a name="319"><span class="lineNum">     319 </span>            :     GrB_free (&amp;mod) ;                           \</a>
+<a name="320"><span class="lineNum">     320 </span>            : }</a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span>            : #endif</a>
+<a name="323"><span class="lineNum">     323 </span>            : </a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">         24 : int LG_CC_FastSV5           // SuiteSparse:GraphBLAS method, with GxB extensions</span></a>
+<a name="325"><span class="lineNum">     325 </span>            : (</a>
+<a name="326"><span class="lineNum">     326 </span>            :     // output</a>
+<a name="327"><span class="lineNum">     327 </span>            :     GrB_Vector *component,  // component(i)=s if node is in the component s</a>
+<a name="328"><span class="lineNum">     328 </span>            :     // inputs</a>
+<a name="329"><span class="lineNum">     329 </span>            :     LAGraph_Graph G,        // input graph, G-&gt;A can change</a>
+<a name="330"><span class="lineNum">     330 </span>            :     char *msg</a>
+<a name="331"><span class="lineNum">     331 </span>            : )</a>
+<a name="332"><span class="lineNum">     332 </span>            : {</a>
+<a name="333"><span class="lineNum">     333 </span>            : </a>
+<a name="334"><span class="lineNum">     334 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="335"><span class="lineNum">     335 </span>            :     // check inputs</a>
+<a name="336"><span class="lineNum">     336 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">         24 :     LG_CLEAR_MSG ;</span></a>
+<a name="339"><span class="lineNum">     339 </span>            : </a>
+<a name="340"><span class="lineNum">     340 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="341"><span class="lineNum">     341 </span>            :     LG_ASSERT_MSG (false, GrB_NOT_IMPLEMENTED, &quot;SuiteSparse required&quot;) ;</a>
+<a name="342"><span class="lineNum">     342 </span>            : #else</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">         24 :     uint32_t *V32 = NULL ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">         24 :     int32_t *ht_key = NULL, *ht_val = NULL ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">         24 :     GrB_Index n, nnz, *I = NULL ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">         24 :     GrB_Vector f = NULL, gp_new = NULL, mngp = NULL, mod = NULL, gp = NULL ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">         24 :     GrB_Matrix T = NULL ;</span></a>
+<a name="349"><span class="lineNum">     349 </span>            : </a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">         24 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">         24 :     LG_ASSERT (component != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">         24 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="354"><span class="lineNum">     354 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="355"><span class="lineNum">     355 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="356"><span class="lineNum">     356 </span>            :         -1001, &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="357"><span class="lineNum">     357 </span>            : </a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">         24 :     GrB_Matrix S = G-&gt;A ;</span></a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, S)) ;</span></a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nvals (&amp;nnz, S)) ;</span></a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">         24 :     LG_ASSERT_MSG (n &lt;= UINT32_MAX, -1, &quot;problem too large (fixme)&quot;) ;</span></a>
+<a name="363"><span class="lineNum">     363 </span>            : </a>
+<a name="364"><span class="lineNum">     364 </span>            :     #define FASTSV_SAMPLES 4</a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">         24 :     bool sampling = (n * FASTSV_SAMPLES * 2 &lt; nnz) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span>            : </a>
+<a name="368"><span class="lineNum">     368 </span>            :     // random number seed</a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">         24 :     uint64_t seed = n ;</span></a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="372"><span class="lineNum">     372 </span>            :     // initializations</a>
+<a name="373"><span class="lineNum">     373 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span>            :     // determine # of threads to use for Reduce_assign</a>
+<a name="376"><span class="lineNum">     376 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">         24 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">         24 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">         24 :     nthreads = LAGRAPH_MIN (nthreads, n / 16) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">         24 :     nthreads = LAGRAPH_MAX (nthreads, 1) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span>            :     // # of threads to use for typecast</a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">         24 :     int nthreads2 = n / (64*1024) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">         24 :     nthreads2 = LAGRAPH_MIN (nthreads2, nthreads) ;</span></a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">         24 :     nthreads2 = LAGRAPH_MAX (nthreads2, 1) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span>            : </a>
+<a name="388"><span class="lineNum">     388 </span>            :     // vectors</a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;f,      GrB_UINT32, n)) ;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;gp_new, GrB_UINT32, n)) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;mod,    GrB_BOOL,   n)) ;</span></a>
+<a name="392"><span class="lineNum">     392 </span>            : </a>
+<a name="393"><span class="lineNum">     393 </span>            :     // temporary arrays</a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">         24 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I  , n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">         24 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;V32, n, sizeof (uint32_t), msg)) ;</span></a>
+<a name="396"><span class="lineNum">     396 </span>            : </a>
+<a name="397"><span class="lineNum">     397 </span>            :     // prepare vectors</a>
+<a name="398"><span class="lineNum">     398 </span>            :     int64_t i;</a>
+<a name="399"><span class="lineNum">     399 </span>            :     #pragma omp parallel for num_threads(nthreads2) schedule(static)</a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">      16284 :     for (i = 0 ; i &lt; n ; i++)</span></a>
+<a name="401"><span class="lineNum">     401 </span>            :     {</a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">      16260 :         I [i] = i ;</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">      16260 :         V32 [i] = (uint32_t) i ;</span></a>
+<a name="404"><span class="lineNum">     404 </span>            :     }</a>
+<a name="405"><span class="lineNum">     405 </span>            : </a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_build (f, I, V32, n, GrB_PLUS_UINT32)) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_dup (&amp;gp,   f)) ;</span></a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_dup (&amp;mngp, f)) ;</span></a>
+<a name="409"><span class="lineNum">     409 </span>            : </a>
+<a name="410"><span class="lineNum">     410 </span>            :     // allocate the hash table</a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">         24 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;ht_key, HASH_SIZE, sizeof (int32_t),</span></a>
+<a name="412"><span class="lineNum">     412 </span>            :         msg)) ;</a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">         24 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;ht_val, HASH_SIZE, sizeof (int32_t),</span></a>
+<a name="414"><span class="lineNum">     414 </span>            :         msg)) ;</a>
+<a name="415"><span class="lineNum">     415 </span>            : </a>
+<a name="416"><span class="lineNum">     416 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="417"><span class="lineNum">     417 </span>            :     // sample phase</a>
+<a name="418"><span class="lineNum">     418 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="419"><span class="lineNum">     419 </span>            : </a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">         24 :     if (sampling)</span></a>
+<a name="421"><span class="lineNum">     421 </span>            :     {</a>
+<a name="422"><span class="lineNum">     422 </span>            : </a>
+<a name="423"><span class="lineNum">     423 </span>            :         //----------------------------------------------------------------------</a>
+<a name="424"><span class="lineNum">     424 </span>            :         // export S = G-&gt;A in CSR format</a>
+<a name="425"><span class="lineNum">     425 </span>            :         //----------------------------------------------------------------------</a>
+<a name="426"><span class="lineNum">     426 </span>            : </a>
+<a name="427"><span class="lineNum">     427 </span>            :         // S is not modified.  It is only exported so that its contents can be</a>
+<a name="428"><span class="lineNum">     428 </span>            :         // read by the parallel loops below.</a>
+<a name="429"><span class="lineNum">     429 </span>            : </a>
+<a name="430"><span class="lineNum">     430 </span>            :         GrB_Type type ;</a>
+<a name="431"><span class="lineNum">     431 </span>            :         GrB_Index nrows, ncols, nvals ;</a>
+<a name="432"><span class="lineNum">     432 </span>            :         size_t typesize ;</a>
+<a name="433"><span class="lineNum">     433 </span>            :         int64_t nonempty ;</a>
+<a name="434"><span class="lineNum">     434 </span>            :         GrB_Index *Sp, *Sj ;</a>
+<a name="435"><span class="lineNum">     435 </span>            :         void *Sx ;</a>
+<a name="436"><span class="lineNum">     436 </span><span class="lineCov">          4 :         bool S_jumbled = false ;</span></a>
+<a name="437"><span class="lineNum">     437 </span>            :         GrB_Index Sp_size, Sj_size, Sx_size ;</a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">          4 :         bool S_iso = false ;</span></a>
+<a name="439"><span class="lineNum">     439 </span>            : </a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals, S)) ;</span></a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_export_CSR (&amp;S, &amp;type, &amp;nrows, &amp;ncols, &amp;Sp, &amp;Sj,</span></a>
+<a name="442"><span class="lineNum">     442 </span>            :             &amp;Sx, &amp;Sp_size, &amp;Sj_size, &amp;Sx_size,</a>
+<a name="443"><span class="lineNum">     443 </span>            :             &amp;S_iso, &amp;S_jumbled, NULL)) ;</a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Type_size (&amp;typesize, type)) ;</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          4 :         G-&gt;A = NULL ;</span></a>
+<a name="446"><span class="lineNum">     446 </span>            : </a>
+<a name="447"><span class="lineNum">     447 </span>            :         //----------------------------------------------------------------------</a>
+<a name="448"><span class="lineNum">     448 </span>            :         // allocate space to construct T</a>
+<a name="449"><span class="lineNum">     449 </span>            :         //----------------------------------------------------------------------</a>
+<a name="450"><span class="lineNum">     450 </span>            : </a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">          4 :         GrB_Index Tp_len = nrows+1, Tp_size = Tp_len*sizeof(GrB_Index);</span></a>
+<a name="452"><span class="lineNum">     452 </span><span class="lineCov">          4 :         GrB_Index Tj_len = nvals,   Tj_size = Tj_len*sizeof(GrB_Index);</span></a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">          4 :         GrB_Index Tx_len = nvals ;</span></a>
+<a name="454"><span class="lineNum">     454 </span>            : </a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">          4 :         GrB_Index *Tp = NULL, *Tj = NULL ;</span></a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">          4 :         GrB_Index Tx_size = typesize ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">          4 :         void *Tx = NULL ;</span></a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">          4 :         int32_t *range = NULL ;</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">          4 :         GrB_Index *count = NULL ;</span></a>
+<a name="460"><span class="lineNum">     460 </span>            : </a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;Tp, Tp_len,</span></a>
+<a name="462"><span class="lineNum">     462 </span>            :             sizeof (GrB_Index), msg)) ;</a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;Tj, Tj_len,</span></a>
+<a name="464"><span class="lineNum">     464 </span>            :             sizeof (GrB_Index), msg)) ;</a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Calloc (&amp;Tx, 1, typesize, msg)) ;   // T is iso</span></a>
+<a name="466"><span class="lineNum">     466 </span>            : </a>
+<a name="467"><span class="lineNum">     467 </span>            :         //----------------------------------------------------------------------</a>
+<a name="468"><span class="lineNum">     468 </span>            :         // allocate workspace</a>
+<a name="469"><span class="lineNum">     469 </span>            :         //----------------------------------------------------------------------</a>
+<a name="470"><span class="lineNum">     470 </span>            : </a>
+<a name="471"><span class="lineNum">     471 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;range, nthreads + 1,</span></a>
+<a name="472"><span class="lineNum">     472 </span>            :             sizeof (int32_t), msg)) ;</a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">          4 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;count, nthreads + 1,</span></a>
+<a name="474"><span class="lineNum">     474 </span>            :             sizeof (GrB_Index), msg)) ;</a>
+<a name="475"><span class="lineNum">     475 </span>            : </a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">          4 :         memset (count, 0, sizeof (GrB_Index) * (nthreads + 1)) ;</span></a>
+<a name="477"><span class="lineNum">     477 </span>            : </a>
+<a name="478"><span class="lineNum">     478 </span>            :         //----------------------------------------------------------------------</a>
+<a name="479"><span class="lineNum">     479 </span>            :         // define parallel tasks to construct T</a>
+<a name="480"><span class="lineNum">     480 </span>            :         //----------------------------------------------------------------------</a>
+<a name="481"><span class="lineNum">     481 </span>            : </a>
+<a name="482"><span class="lineNum">     482 </span>            :         // thread tid works on rows range[tid]:range[tid+1]-1 of S and T</a>
+<a name="483"><span class="lineNum">     483 </span><span class="lineCov">         12 :         for (int tid = 0 ; tid &lt;= nthreads ; tid++)</span></a>
+<a name="484"><span class="lineNum">     484 </span>            :         {</a>
+<a name="485"><span class="lineNum">     485 </span><span class="lineCov">          8 :             range [tid] = (n * tid + nthreads - 1) / nthreads ;</span></a>
+<a name="486"><span class="lineNum">     486 </span>            :         }</a>
+<a name="487"><span class="lineNum">     487 </span>            : </a>
+<a name="488"><span class="lineNum">     488 </span>            :         //----------------------------------------------------------------------</a>
+<a name="489"><span class="lineNum">     489 </span>            :         // determine the number entries to be constructed in T for each thread</a>
+<a name="490"><span class="lineNum">     490 </span>            :         //----------------------------------------------------------------------</a>
+<a name="491"><span class="lineNum">     491 </span>            : </a>
+<a name="492"><span class="lineNum">     492 </span>            :         int tid;</a>
+<a name="493"><span class="lineNum">     493 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="494"><span class="lineNum">     494 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="495"><span class="lineNum">     495 </span>            :         {</a>
+<a name="496"><span class="lineNum">     496 </span><span class="lineCov">       9756 :             for (int32_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="497"><span class="lineNum">     497 </span>            :             {</a>
+<a name="498"><span class="lineNum">     498 </span><span class="lineCov">       9752 :                 int32_t deg = Sp [i + 1] - Sp [i] ;</span></a>
+<a name="499"><span class="lineNum">     499 </span><span class="lineCov">       9752 :                 count [tid + 1] += LAGRAPH_MIN (FASTSV_SAMPLES, deg) ;</span></a>
+<a name="500"><span class="lineNum">     500 </span>            :             }</a>
+<a name="501"><span class="lineNum">     501 </span>            :         }</a>
+<a name="502"><span class="lineNum">     502 </span>            : </a>
+<a name="503"><span class="lineNum">     503 </span>            :         //----------------------------------------------------------------------</a>
+<a name="504"><span class="lineNum">     504 </span>            :         // count = cumsum (count)</a>
+<a name="505"><span class="lineNum">     505 </span>            :         //----------------------------------------------------------------------</a>
+<a name="506"><span class="lineNum">     506 </span>            : </a>
+<a name="507"><span class="lineNum">     507 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="508"><span class="lineNum">     508 </span>            :         {</a>
+<a name="509"><span class="lineNum">     509 </span><span class="lineCov">          4 :             count [tid + 1] += count [tid] ;</span></a>
+<a name="510"><span class="lineNum">     510 </span>            :         }</a>
+<a name="511"><span class="lineNum">     511 </span>            : </a>
+<a name="512"><span class="lineNum">     512 </span>            :         //----------------------------------------------------------------------</a>
+<a name="513"><span class="lineNum">     513 </span>            :         // construct T</a>
+<a name="514"><span class="lineNum">     514 </span>            :         //----------------------------------------------------------------------</a>
+<a name="515"><span class="lineNum">     515 </span>            : </a>
+<a name="516"><span class="lineNum">     516 </span>            :         // T (i,:) consists of the first FASTSV_SAMPLES of S (i,:).</a>
+<a name="517"><span class="lineNum">     517 </span>            : </a>
+<a name="518"><span class="lineNum">     518 </span>            :         // todo: this could be done by GxB_Select, using a new operator.  Need</a>
+<a name="519"><span class="lineNum">     519 </span>            :         // to define a set of GxB_SelectOp operators that would allow for this.</a>
+<a name="520"><span class="lineNum">     520 </span>            : </a>
+<a name="521"><span class="lineNum">     521 </span>            :         // Note that Tx is not modified.  Only Tp and Tj are constructed.</a>
+<a name="522"><span class="lineNum">     522 </span>            : </a>
+<a name="523"><span class="lineNum">     523 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="524"><span class="lineNum">     524 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="525"><span class="lineNum">     525 </span>            :         {</a>
+<a name="526"><span class="lineNum">     526 </span><span class="lineCov">          4 :             GrB_Index p = count [tid] ;</span></a>
+<a name="527"><span class="lineNum">     527 </span><span class="lineCov">          4 :             Tp [range [tid]] = p ;</span></a>
+<a name="528"><span class="lineNum">     528 </span><span class="lineCov">       9756 :             for (int32_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="529"><span class="lineNum">     529 </span>            :             {</a>
+<a name="530"><span class="lineNum">     530 </span>            :                 // construct T (i,:) from the first entries in S (i,:)</a>
+<a name="531"><span class="lineNum">     531 </span><span class="lineCov">       9752 :                 for (int32_t j = 0 ;</span></a>
+<a name="532"><span class="lineNum">     532 </span><span class="lineCov">      40390 :                     j &lt; FASTSV_SAMPLES &amp;&amp; Sp [i] + j &lt; Sp [i + 1] ; j++)</span></a>
+<a name="533"><span class="lineNum">     533 </span>            :                 {</a>
+<a name="534"><span class="lineNum">     534 </span><span class="lineCov">      30638 :                     Tj [p++] = Sj [Sp [i] + j] ;</span></a>
+<a name="535"><span class="lineNum">     535 </span>            :                 }</a>
+<a name="536"><span class="lineNum">     536 </span><span class="lineCov">       9752 :                 Tp [i + 1] = p ;</span></a>
+<a name="537"><span class="lineNum">     537 </span>            :             }</a>
+<a name="538"><span class="lineNum">     538 </span>            :         }</a>
+<a name="539"><span class="lineNum">     539 </span>            : </a>
+<a name="540"><span class="lineNum">     540 </span>            :         //----------------------------------------------------------------------</a>
+<a name="541"><span class="lineNum">     541 </span>            :         // import the result into the GrB_Matrix T</a>
+<a name="542"><span class="lineNum">     542 </span>            :         //----------------------------------------------------------------------</a>
+<a name="543"><span class="lineNum">     543 </span>            : </a>
+<a name="544"><span class="lineNum">     544 </span>            :         // Note that Tx is unmodified.</a>
+<a name="545"><span class="lineNum">     545 </span>            : </a>
+<a name="546"><span class="lineNum">     546 </span>            :         // in SuiteSparse:GraphBLAS v5, sizes are in bytes, not entries</a>
+<a name="547"><span class="lineNum">     547 </span><span class="lineCov">          4 :         GrB_Index Tp_siz = Tp_size ;</span></a>
+<a name="548"><span class="lineNum">     548 </span><span class="lineCov">          4 :         GrB_Index Tj_siz = Tj_size ;</span></a>
+<a name="549"><span class="lineNum">     549 </span><span class="lineCov">          4 :         GrB_Index Tx_siz = Tx_size ;</span></a>
+<a name="550"><span class="lineNum">     550 </span>            : </a>
+<a name="551"><span class="lineNum">     551 </span><span class="lineCov">          4 :         GrB_Index t_nvals = Tp [nrows] ;</span></a>
+<a name="552"><span class="lineNum">     552 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_import_CSR (&amp;T, type, nrows, ncols,</span></a>
+<a name="553"><span class="lineNum">     553 </span>            :                 &amp;Tp, &amp;Tj, &amp;Tx, Tp_siz, Tj_siz, Tx_siz,</a>
+<a name="554"><span class="lineNum">     554 </span>            :                 true,   // T is iso</a>
+<a name="555"><span class="lineNum">     555 </span>            :                 S_jumbled, NULL)) ;</a>
+<a name="556"><span class="lineNum">     556 </span>            : </a>
+<a name="557"><span class="lineNum">     557 </span>            :         //----------------------------------------------------------------------</a>
+<a name="558"><span class="lineNum">     558 </span>            :         // find the connected components of T</a>
+<a name="559"><span class="lineNum">     559 </span>            :         //----------------------------------------------------------------------</a>
+<a name="560"><span class="lineNum">     560 </span>            : </a>
+<a name="561"><span class="lineNum">     561 </span>            :         // todo: this is nearly identical to the final phase below.</a>
+<a name="562"><span class="lineNum">     562 </span>            :         // Make this a function</a>
+<a name="563"><span class="lineNum">     563 </span>            : </a>
+<a name="564"><span class="lineNum">     564 </span><span class="lineCov">          4 :         bool change = true, is_first = true ;</span></a>
+<a name="565"><span class="lineNum">     565 </span><span class="lineCov">         26 :         while (change)</span></a>
+<a name="566"><span class="lineNum">     566 </span>            :         {</a>
+<a name="567"><span class="lineNum">     567 </span>            :             // hooking &amp; shortcutting</a>
+<a name="568"><span class="lineNum">     568 </span><span class="lineCov">         22 :             GRB_TRY (GrB_mxv (mngp, NULL, GrB_MIN_UINT32,</span></a>
+<a name="569"><span class="lineNum">     569 </span>            :                 GrB_MIN_SECOND_SEMIRING_UINT32, T, gp, NULL)) ;</a>
+<a name="570"><span class="lineNum">     570 </span><span class="lineCov">         22 :             if (!is_first)</span></a>
+<a name="571"><span class="lineNum">     571 </span>            :             {</a>
+<a name="572"><span class="lineNum">     572 </span><span class="lineCov">         18 :                 LG_TRY (Reduce_assign32 (&amp;f, &amp;mngp, V32, n, nthreads,</span></a>
+<a name="573"><span class="lineNum">     573 </span>            :                     ht_key, ht_val, &amp;seed, msg)) ;</a>
+<a name="574"><span class="lineNum">     574 </span>            :             }</a>
+<a name="575"><span class="lineNum">     575 </span><span class="lineCov">         22 :             GRB_TRY (GrB_eWiseAdd (f, NULL, GrB_MIN_UINT32, GrB_MIN_UINT32,</span></a>
+<a name="576"><span class="lineNum">     576 </span>            :                 mngp, gp, NULL)) ;</a>
+<a name="577"><span class="lineNum">     577 </span>            : </a>
+<a name="578"><span class="lineNum">     578 </span>            :             // calculate grandparent</a>
+<a name="579"><span class="lineNum">     579 </span>            :             // fixme: NULL parameter is SS:GrB extension</a>
+<a name="580"><span class="lineNum">     580 </span><span class="lineCov">         22 :             GRB_TRY (GrB_Vector_extractTuples (NULL, V32, &amp;n, f)) ; // fixme</span></a>
+<a name="581"><span class="lineNum">     581 </span>            :             int32_t i;</a>
+<a name="582"><span class="lineNum">     582 </span>            :             #pragma omp parallel for num_threads(nthreads2) schedule(static)</a>
+<a name="583"><span class="lineNum">     583 </span><span class="lineCov">      54528 :             for (i = 0 ; i &lt; n ; i++)</span></a>
+<a name="584"><span class="lineNum">     584 </span>            :             {</a>
+<a name="585"><span class="lineNum">     585 </span><span class="lineCov">      54506 :                 I [i] = (GrB_Index) V32 [i] ;</span></a>
+<a name="586"><span class="lineNum">     586 </span>            :             }</a>
+<a name="587"><span class="lineNum">     587 </span><span class="lineCov">         22 :             GRB_TRY (GrB_extract (gp_new, NULL, NULL, f, I, n, NULL)) ;</span></a>
+<a name="588"><span class="lineNum">     588 </span>            : </a>
+<a name="589"><span class="lineNum">     589 </span>            :             // todo: GrB_Vector_extract should have a variant where the index</a>
+<a name="590"><span class="lineNum">     590 </span>            :             // list is not given by an array I, but as a GrB_Vector of type</a>
+<a name="591"><span class="lineNum">     591 </span>            :             // GrB_UINT64 (or which can be typecast to GrB_UINT64).  This is a</a>
+<a name="592"><span class="lineNum">     592 </span>            :             // common issue that arises in other algorithms as well.</a>
+<a name="593"><span class="lineNum">     593 </span>            :             // Likewise GrB_Matrix_extract, and all forms of GrB_assign.</a>
+<a name="594"><span class="lineNum">     594 </span>            : </a>
+<a name="595"><span class="lineNum">     595 </span>            :             // check termination</a>
+<a name="596"><span class="lineNum">     596 </span><span class="lineCov">         22 :             GRB_TRY (GrB_eWiseMult (mod, NULL, NULL, GrB_NE_UINT32, gp_new,</span></a>
+<a name="597"><span class="lineNum">     597 </span>            :                 gp, NULL)) ;</a>
+<a name="598"><span class="lineNum">     598 </span><span class="lineCov">         22 :             GRB_TRY (GrB_reduce (&amp;change, NULL, GrB_LOR_MONOID_BOOL, mod,</span></a>
+<a name="599"><span class="lineNum">     599 </span>            :                 NULL)) ;</a>
+<a name="600"><span class="lineNum">     600 </span>            : </a>
+<a name="601"><span class="lineNum">     601 </span>            :             // swap gp and gp_new</a>
+<a name="602"><span class="lineNum">     602 </span><span class="lineCov">         22 :             GrB_Vector t = gp ; gp = gp_new ; gp_new = t ;</span></a>
+<a name="603"><span class="lineNum">     603 </span><span class="lineCov">         22 :             is_first = false ;</span></a>
+<a name="604"><span class="lineNum">     604 </span>            :         }</a>
+<a name="605"><span class="lineNum">     605 </span>            : </a>
+<a name="606"><span class="lineNum">     606 </span>            :         //----------------------------------------------------------------------</a>
+<a name="607"><span class="lineNum">     607 </span>            :         // todo: describe me</a>
+<a name="608"><span class="lineNum">     608 </span>            :         //----------------------------------------------------------------------</a>
+<a name="609"><span class="lineNum">     609 </span>            : </a>
+<a name="610"><span class="lineNum">     610 </span><span class="lineCov">          4 :         ht_init (ht_key, ht_val) ;</span></a>
+<a name="611"><span class="lineNum">     611 </span><span class="lineCov">          4 :         ht_sample (V32, n, HASH_SAMPLES, ht_key, ht_val, &amp;seed) ;</span></a>
+<a name="612"><span class="lineNum">     612 </span><span class="lineCov">          4 :         int32_t key = ht_most_frequent (ht_key, ht_val) ;</span></a>
+<a name="613"><span class="lineNum">     613 </span>            :         // todo: what if key is returned as -1?  Then T below is invalid.</a>
+<a name="614"><span class="lineNum">     614 </span>            : </a>
+<a name="615"><span class="lineNum">     615 </span><span class="lineCov">          4 :         int64_t t_nonempty = -1 ;</span></a>
+<a name="616"><span class="lineNum">     616 </span><span class="lineCov">          4 :         bool T_jumbled = false, T_iso = true ;</span></a>
+<a name="617"><span class="lineNum">     617 </span>            : </a>
+<a name="618"><span class="lineNum">     618 </span>            :         // export T</a>
+<a name="619"><span class="lineNum">     619 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_export_CSR (&amp;T, &amp;type, &amp;nrows, &amp;ncols, &amp;Tp, &amp;Tj,</span></a>
+<a name="620"><span class="lineNum">     620 </span>            :             &amp;Tx, &amp;Tp_siz, &amp;Tj_siz, &amp;Tx_siz,</a>
+<a name="621"><span class="lineNum">     621 </span>            :             &amp;T_iso, &amp;T_jumbled, NULL)) ;</a>
+<a name="622"><span class="lineNum">     622 </span>            : </a>
+<a name="623"><span class="lineNum">     623 </span>            :         // todo what is this phase doing?  It is constructing a matrix T that</a>
+<a name="624"><span class="lineNum">     624 </span>            :         // depends only on S, key, and V32.  T contains a subset of the entries</a>
+<a name="625"><span class="lineNum">     625 </span>            :         // in S, except that T (i,:) is empty if</a>
+<a name="626"><span class="lineNum">     626 </span>            : </a>
+<a name="627"><span class="lineNum">     627 </span>            :         // The prior content of T is ignored; it is exported from the earlier</a>
+<a name="628"><span class="lineNum">     628 </span>            :         // phase, only to reuse the allocated space for T.  However, T_jumbled</a>
+<a name="629"><span class="lineNum">     629 </span>            :         // is preserved from the prior matrix T, which doesn't make sense.</a>
+<a name="630"><span class="lineNum">     630 </span>            : </a>
+<a name="631"><span class="lineNum">     631 </span>            :         // This parallel loop is badly load balanced.  Each thread operates on</a>
+<a name="632"><span class="lineNum">     632 </span>            :         // the same number of rows of S, regardless of how many entries appear</a>
+<a name="633"><span class="lineNum">     633 </span>            :         // in each set of rows.  It uses one thread per task, statically</a>
+<a name="634"><span class="lineNum">     634 </span>            :         // scheduled.</a>
+<a name="635"><span class="lineNum">     635 </span>            : </a>
+<a name="636"><span class="lineNum">     636 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="637"><span class="lineNum">     637 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="638"><span class="lineNum">     638 </span>            :         {</a>
+<a name="639"><span class="lineNum">     639 </span><span class="lineCov">          4 :             GrB_Index ptr = Sp [range [tid]] ;</span></a>
+<a name="640"><span class="lineNum">     640 </span>            :             // thread tid scans S (range [tid]:range [tid+1]-1,:),</a>
+<a name="641"><span class="lineNum">     641 </span>            :             // and constructs T(i,:) for all rows in this range.</a>
+<a name="642"><span class="lineNum">     642 </span><span class="lineCov">       9756 :             for (int32_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="643"><span class="lineNum">     643 </span>            :             {</a>
+<a name="644"><span class="lineNum">     644 </span><span class="lineCov">       9752 :                 int32_t pv = V32 [i] ;  // what is pv?</span></a>
+<a name="645"><span class="lineNum">     645 </span><span class="lineCov">       9752 :                 Tp [i] = ptr ;          // start the construction of T(i,:)</span></a>
+<a name="646"><span class="lineNum">     646 </span>            :                 // T(i,:) is empty if pv == key</a>
+<a name="647"><span class="lineNum">     647 </span><span class="lineCov">       9752 :                 if (pv != key)</span></a>
+<a name="648"><span class="lineNum">     648 </span>            :                 {</a>
+<a name="649"><span class="lineNum">     649 </span>            :                     // scan S(i,:)</a>
+<a name="650"><span class="lineNum">     650 </span><span class="lineCov">      46550 :                     for (GrB_Index p = Sp [i] ; p &lt; Sp [i+1] ; p++)</span></a>
+<a name="651"><span class="lineNum">     651 </span>            :                     {</a>
+<a name="652"><span class="lineNum">     652 </span>            :                         // get S(i,j)</a>
+<a name="653"><span class="lineNum">     653 </span><span class="lineCov">      41274 :                         int32_t j = Sj [p] ;</span></a>
+<a name="654"><span class="lineNum">     654 </span><span class="lineCov">      41274 :                         if (V32 [j] != key)</span></a>
+<a name="655"><span class="lineNum">     655 </span>            :                         {</a>
+<a name="656"><span class="lineNum">     656 </span>            :                             // add the entry T(i,j) to T, but skip it if</a>
+<a name="657"><span class="lineNum">     657 </span>            :                             // V32 [j] is equal to key</a>
+<a name="658"><span class="lineNum">     658 </span><span class="lineCov">      41264 :                             Tj [ptr++] = j ;</span></a>
+<a name="659"><span class="lineNum">     659 </span>            :                         }</a>
+<a name="660"><span class="lineNum">     660 </span>            :                     }</a>
+<a name="661"><span class="lineNum">     661 </span>            :                     // add the entry T(i,key) if there is room for it in T(i,:)</a>
+<a name="662"><span class="lineNum">     662 </span><span class="lineCov">       5276 :                     if (ptr - Tp [i] &lt; Sp [i+1] - Sp [i])</span></a>
+<a name="663"><span class="lineNum">     663 </span>            :                     {</a>
+<a name="664"><span class="lineNum">     664 </span><span class="lineCov">          2 :                         Tj [ptr++] = key ;</span></a>
+<a name="665"><span class="lineNum">     665 </span>            :                     }</a>
+<a name="666"><span class="lineNum">     666 </span>            :                 }</a>
+<a name="667"><span class="lineNum">     667 </span>            :             }</a>
+<a name="668"><span class="lineNum">     668 </span>            :             // count the number of entries inserted into T by this thread?</a>
+<a name="669"><span class="lineNum">     669 </span><span class="lineCov">          4 :             count [tid] = ptr - Tp [range [tid]] ;</span></a>
+<a name="670"><span class="lineNum">     670 </span>            :         }</a>
+<a name="671"><span class="lineNum">     671 </span>            : </a>
+<a name="672"><span class="lineNum">     672 </span>            :         // Compact empty space out of Tj not filled in from the above phase.</a>
+<a name="673"><span class="lineNum">     673 </span>            :         // This is a lot of work and should be done in parallel.</a>
+<a name="674"><span class="lineNum">     674 </span><span class="lineCov">          4 :         GrB_Index offset = 0 ;</span></a>
+<a name="675"><span class="lineNum">     675 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="676"><span class="lineNum">     676 </span>            :         {</a>
+<a name="677"><span class="lineNum">     677 </span>            : </a>
+<a name="678"><span class="lineNum">     678 </span>            : //          this memcpy is not safe (src/dest can overlap)</a>
+<a name="679"><span class="lineNum">     679 </span>            : //          memcpy (Tj + offset, Tj + Tp [range [tid]],</a>
+<a name="680"><span class="lineNum">     680 </span>            : //              sizeof (GrB_Index) * count [tid]) ;</a>
+<a name="681"><span class="lineNum">     681 </span>            : </a>
+<a name="682"><span class="lineNum">     682 </span>            : //          // using a for loop instead:</a>
+<a name="683"><span class="lineNum">     683 </span>            : //          GrB_Index *Tj_dest = Tj + offset ;</a>
+<a name="684"><span class="lineNum">     684 </span>            : //          GrB_Index *Tj_src  = Tj + Tp [range [tid]] ;</a>
+<a name="685"><span class="lineNum">     685 </span>            : //          for (int64_t k = 0 ; k &lt; count [tid] ; k++)</a>
+<a name="686"><span class="lineNum">     686 </span>            : //          {</a>
+<a name="687"><span class="lineNum">     687 </span>            : //              Tj_dest [k] = Tj_src [k] ;</a>
+<a name="688"><span class="lineNum">     688 </span>            : //          }</a>
+<a name="689"><span class="lineNum">     689 </span>            : </a>
+<a name="690"><span class="lineNum">     690 </span>            : //          this is safe (memmove_s not necessary):</a>
+<a name="691"><span class="lineNum">     691 </span><span class="lineCov">          4 :             memmove (Tj + offset, Tj + Tp [range [tid]],</span></a>
+<a name="692"><span class="lineNum">     692 </span><span class="lineCov">          4 :                 sizeof (GrB_Index) * count [tid]) ;</span></a>
+<a name="693"><span class="lineNum">     693 </span>            : </a>
+<a name="694"><span class="lineNum">     694 </span><span class="lineCov">          4 :             offset += count [tid] ;</span></a>
+<a name="695"><span class="lineNum">     695 </span><span class="lineCov">          4 :             count [tid] = offset - count [tid] ;</span></a>
+<a name="696"><span class="lineNum">     696 </span>            :         }</a>
+<a name="697"><span class="lineNum">     697 </span>            : </a>
+<a name="698"><span class="lineNum">     698 </span>            :         // Compact empty space out of Tp</a>
+<a name="699"><span class="lineNum">     699 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="700"><span class="lineNum">     700 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="701"><span class="lineNum">     701 </span>            :         {</a>
+<a name="702"><span class="lineNum">     702 </span><span class="lineCov">          4 :             GrB_Index ptr = Tp [range [tid]] ;</span></a>
+<a name="703"><span class="lineNum">     703 </span><span class="lineCov">       9756 :             for (int32_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="704"><span class="lineNum">     704 </span>            :             {</a>
+<a name="705"><span class="lineNum">     705 </span><span class="lineCov">       9752 :                 Tp [i] -= ptr - count [tid] ;</span></a>
+<a name="706"><span class="lineNum">     706 </span>            :             }</a>
+<a name="707"><span class="lineNum">     707 </span>            :         }</a>
+<a name="708"><span class="lineNum">     708 </span>            : </a>
+<a name="709"><span class="lineNum">     709 </span>            :         // finalize T</a>
+<a name="710"><span class="lineNum">     710 </span><span class="lineCov">          4 :         Tp [n] = offset ;</span></a>
+<a name="711"><span class="lineNum">     711 </span>            : </a>
+<a name="712"><span class="lineNum">     712 </span>            :         // free workspace</a>
+<a name="713"><span class="lineNum">     713 </span><span class="lineCov">          4 :         LAGraph_Free ((void **) &amp;count, NULL) ;</span></a>
+<a name="714"><span class="lineNum">     714 </span><span class="lineCov">          4 :         LAGraph_Free ((void **) &amp;range, NULL) ;</span></a>
+<a name="715"><span class="lineNum">     715 </span>            : </a>
+<a name="716"><span class="lineNum">     716 </span>            :         // import S (unchanged since last export)</a>
+<a name="717"><span class="lineNum">     717 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_import_CSR (&amp;S, type, nrows, ncols,</span></a>
+<a name="718"><span class="lineNum">     718 </span>            :                 &amp;Sp, &amp;Sj, &amp;Sx, Sp_size, Sj_size, Sx_size,</a>
+<a name="719"><span class="lineNum">     719 </span>            :                 S_iso, S_jumbled, NULL)) ;</a>
+<a name="720"><span class="lineNum">     720 </span>            : </a>
+<a name="721"><span class="lineNum">     721 </span>            :         // import T for the final phase</a>
+<a name="722"><span class="lineNum">     722 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_import_CSR (&amp;T, type, nrows, ncols,</span></a>
+<a name="723"><span class="lineNum">     723 </span>            :                 &amp;Tp, &amp;Tj, &amp;Tx, Tp_siz, Tj_siz, Tx_siz,</a>
+<a name="724"><span class="lineNum">     724 </span>            :                 T_iso, /* T is jumbled: */ true, NULL)) ;</a>
+<a name="725"><span class="lineNum">     725 </span>            : </a>
+<a name="726"><span class="lineNum">     726 </span>            :         // restore G-&gt;A</a>
+<a name="727"><span class="lineNum">     727 </span><span class="lineCov">          4 :         G-&gt;A = S ;</span></a>
+<a name="728"><span class="lineNum">     728 </span>            : </a>
+<a name="729"><span class="lineNum">     729 </span>            :     }</a>
+<a name="730"><span class="lineNum">     730 </span>            :     else</a>
+<a name="731"><span class="lineNum">     731 </span>            :     {</a>
+<a name="732"><span class="lineNum">     732 </span>            : </a>
+<a name="733"><span class="lineNum">     733 </span>            :         // no sampling; the final phase operates on the whole graph</a>
+<a name="734"><span class="lineNum">     734 </span><span class="lineCov">         20 :         T = S ;</span></a>
+<a name="735"><span class="lineNum">     735 </span>            : </a>
+<a name="736"><span class="lineNum">     736 </span>            :     }</a>
+<a name="737"><span class="lineNum">     737 </span>            : </a>
+<a name="738"><span class="lineNum">     738 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="739"><span class="lineNum">     739 </span>            :     // final phase</a>
+<a name="740"><span class="lineNum">     740 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="741"><span class="lineNum">     741 </span>            : </a>
+<a name="742"><span class="lineNum">     742 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nvals (&amp;nnz, T)) ;</span></a>
+<a name="743"><span class="lineNum">     743 </span>            : </a>
+<a name="744"><span class="lineNum">     744 </span><span class="lineCov">         24 :     bool change = true ;</span></a>
+<a name="745"><span class="lineNum">     745 </span><span class="lineCov">         96 :     while (change &amp;&amp; nnz &gt; 0)</span></a>
+<a name="746"><span class="lineNum">     746 </span>            :     {</a>
+<a name="747"><span class="lineNum">     747 </span>            :         // hooking &amp; shortcutting</a>
+<a name="748"><span class="lineNum">     748 </span><span class="lineCov">         72 :         GRB_TRY (GrB_mxv (mngp, NULL, GrB_MIN_UINT32,</span></a>
+<a name="749"><span class="lineNum">     749 </span>            :                           GrB_MIN_SECOND_SEMIRING_UINT32, T, gp, NULL)) ;</a>
+<a name="750"><span class="lineNum">     750 </span><span class="lineCov">         72 :         GRB_TRY (Reduce_assign32 (&amp;f, &amp;mngp, V32, n, nthreads, ht_key,</span></a>
+<a name="751"><span class="lineNum">     751 </span>            :                                   ht_val, &amp;seed, msg)) ;</a>
+<a name="752"><span class="lineNum">     752 </span><span class="lineCov">         72 :         GRB_TRY (GrB_eWiseAdd (f, NULL, GrB_MIN_UINT32, GrB_MIN_UINT32,</span></a>
+<a name="753"><span class="lineNum">     753 </span>            :                                mngp, gp, NULL)) ;</a>
+<a name="754"><span class="lineNum">     754 </span>            : </a>
+<a name="755"><span class="lineNum">     755 </span>            :         // calculate grandparent</a>
+<a name="756"><span class="lineNum">     756 </span>            :         // fixme: NULL parameter is SS:GrB extension</a>
+<a name="757"><span class="lineNum">     757 </span><span class="lineCov">         72 :         GRB_TRY (GrB_Vector_extractTuples (NULL, V32, &amp;n, f)) ; // fixme</span></a>
+<a name="758"><span class="lineNum">     758 </span>            :         int32_t k;</a>
+<a name="759"><span class="lineNum">     759 </span>            :         #pragma omp parallel for num_threads(nthreads2) schedule(static)</a>
+<a name="760"><span class="lineNum">     760 </span><span class="lineCov">      45924 :         for (k = 0 ; k &lt; n ; k++)</span></a>
+<a name="761"><span class="lineNum">     761 </span>            :         {</a>
+<a name="762"><span class="lineNum">     762 </span><span class="lineCov">      45852 :             I [k] = (GrB_Index) V32 [k] ;</span></a>
+<a name="763"><span class="lineNum">     763 </span>            :         }</a>
+<a name="764"><span class="lineNum">     764 </span><span class="lineCov">         72 :         GRB_TRY (GrB_extract (gp_new, NULL, NULL, f, I, n, NULL)) ;</span></a>
+<a name="765"><span class="lineNum">     765 </span>            : </a>
+<a name="766"><span class="lineNum">     766 </span>            :         // check termination</a>
+<a name="767"><span class="lineNum">     767 </span><span class="lineCov">         72 :         GRB_TRY (GrB_eWiseMult (mod, NULL, NULL, GrB_NE_UINT32, gp_new, gp,</span></a>
+<a name="768"><span class="lineNum">     768 </span>            :             NULL)) ;</a>
+<a name="769"><span class="lineNum">     769 </span><span class="lineCov">         72 :         GRB_TRY (GrB_reduce (&amp;change, NULL, GrB_LOR_MONOID_BOOL, mod, NULL)) ;</span></a>
+<a name="770"><span class="lineNum">     770 </span>            : </a>
+<a name="771"><span class="lineNum">     771 </span>            :         // swap gp and gp_new</a>
+<a name="772"><span class="lineNum">     772 </span><span class="lineCov">         72 :         GrB_Vector t = gp ; gp = gp_new ; gp_new = t ;</span></a>
+<a name="773"><span class="lineNum">     773 </span>            :     }</a>
+<a name="774"><span class="lineNum">     774 </span>            : </a>
+<a name="775"><span class="lineNum">     775 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="776"><span class="lineNum">     776 </span>            :     // free workspace and return result</a>
+<a name="777"><span class="lineNum">     777 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="778"><span class="lineNum">     778 </span>            : </a>
+<a name="779"><span class="lineNum">     779 </span><span class="lineCov">         24 :     (*component) = f ;</span></a>
+<a name="780"><span class="lineNum">     780 </span><span class="lineCov">         24 :     f = NULL ;</span></a>
+<a name="781"><span class="lineNum">     781 </span><span class="lineCov">         24 :     if (sampling)</span></a>
+<a name="782"><span class="lineNum">     782 </span>            :     {</a>
+<a name="783"><span class="lineNum">     783 </span><span class="lineCov">          4 :         GrB_free (&amp;T) ;</span></a>
+<a name="784"><span class="lineNum">     784 </span>            :     }</a>
+<a name="785"><span class="lineNum">     785 </span><span class="lineCov">         24 :     LG_FREE_ALL ;</span></a>
+<a name="786"><span class="lineNum">     786 </span><span class="lineCov">         24 :     return (GrB_SUCCESS) ;</span></a>
+<a name="787"><span class="lineNum">     787 </span>            : #endif</a>
+<a name="788"><span class="lineNum">     788 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/algorithm/index-sort-f.html b/experimental/algorithm/index-sort-f.html
new file mode 100644
index 0000000000..613436e95a
--- /dev/null
+++ b/experimental/algorithm/index-sort-f.html
@@ -0,0 +1,353 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/algorithm</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2057</td>
+            <td class="headerCovTableEntry">2057</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_pure_c_double.c.gcov.html">LAGraph_BF_pure_c_double.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">36 / 36</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_VertexCentrality_Triangle.c.gcov.html">LAGraph_VertexCentrality_Triangle.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">68 / 68</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_KTruss.c.gcov.html">LAGraph_KTruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">24 / 24</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_basic_pushpull.c.gcov.html">LAGraph_BF_basic_pushpull.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">69 / 69</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_basic_mxv.c.gcov.html">LAGraph_BF_basic_mxv.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
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+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
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+</body>
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diff --git a/experimental/algorithm/index-sort-l.html b/experimental/algorithm/index-sort-l.html
new file mode 100644
index 0000000000..2cd6ad039d
--- /dev/null
+++ b/experimental/algorithm/index-sort-l.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
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+          <tr>
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+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
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+            <td class="headerCovTableEntry">2057</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr>
+            <td class="headerItem">Date:</td>
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+            <td></td>
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+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
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+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverNumHi">1 / 1</td>
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+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
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+  <br>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
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diff --git a/experimental/algorithm/index.html b/experimental/algorithm/index.html
new file mode 100644
index 0000000000..a71e86ec46
--- /dev/null
+++ b/experimental/algorithm/index.html
@@ -0,0 +1,353 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
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+            <td width="15%"></td>
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+          <tr>
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+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
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+            <td class="headerCovTableEntry">2057</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
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+            <td></td>
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+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntry">60</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
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+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_AllKTruss.c.gcov.html">LAGraph_AllKTruss.c</a></td>
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+      <td class="coverFile"><a href="LAGraph_BF_basic.c.gcov.html">LAGraph_BF_basic.c</a></td>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_basic_pushpull.c.gcov.html">LAGraph_BF_basic_pushpull.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_full.c.gcov.html">LAGraph_BF_full.c</a></td>
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+      <td class="coverFile"><a href="LAGraph_BF_full1.c.gcov.html">LAGraph_BF_full1.c</a></td>
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+      <td class="coverNumHi">4 / 4</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_BF_full_mxv.c.gcov.html">LAGraph_BF_full_mxv.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverFile"><a href="LAGraph_BF_pure_c.c.gcov.html">LAGraph_BF_pure_c.c</a></td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_FastGraphletTransform.c.gcov.html">LAGraph_FastGraphletTransform.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_HelloWorld.c.gcov.html">LAGraph_HelloWorld.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_KCore.c.gcov.html">LAGraph_KCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">44 / 44</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_KCoreDecompose.c.gcov.html">LAGraph_KCoreDecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">25 / 25</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_KTruss.c.gcov.html">LAGraph_KTruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">24 / 24</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_MaximalIndependentSet.c.gcov.html">LAGraph_MaximalIndependentSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">81 / 81</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SquareClustering.c.gcov.html">LAGraph_SquareClustering.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_VertexCentrality_Triangle.c.gcov.html">LAGraph_VertexCentrality_Triangle.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">68 / 68</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_cc_lacc.c.gcov.html">LAGraph_cc_lacc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">110 / 110</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_cdlp.c.gcov.html">LAGraph_cdlp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">93 / 93</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_dnn.c.gcov.html">LAGraph_dnn.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_lcc.c.gcov.html">LAGraph_lcc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">67 / 67</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_msf.c.gcov.html">LAGraph_msf.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">130 / 130</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">7 / 7</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_scc.c.gcov.html">LAGraph_scc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">103 / 103</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_FastSV5.c.gcov.html">LG_CC_FastSV5.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">203 / 203</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_kcore.c.func-sort-c.html b/experimental/test/LG_check_kcore.c.func-sort-c.html
new file mode 100644
index 0000000000..53235f614f
--- /dev/null
+++ b/experimental/test/LG_check_kcore.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcore.c<span style="font-size: 80%;"> (<a href="LG_check_kcore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_kcore.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_kcore.c.gcov.html#36">LG_check_kcore</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_kcore.c.func.html b/experimental/test/LG_check_kcore.c.func.html
new file mode 100644
index 0000000000..9d43e8644d
--- /dev/null
+++ b/experimental/test/LG_check_kcore.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcore.c<span style="font-size: 80%;"> (<a href="LG_check_kcore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_kcore.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_kcore.c.gcov.html#36">LG_check_kcore</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_kcore.c.gcov.html b/experimental/test/LG_check_kcore.c.gcov.html
new file mode 100644
index 0000000000..917a9cb641
--- /dev/null
+++ b/experimental/test/LG_check_kcore.c.gcov.html
@@ -0,0 +1,258 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcore.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcore.c<span style="font-size: 80%;"> (source / <a href="LG_check_kcore.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntry">65</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_kcore: construct the kcore of a graph (simple method)</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // An implementation of the BZ algorithm (2003) for k-core decomposition.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // This method is for testing only, to check the result of other, faster methods.</a>
+<a name="20"><span class="lineNum">      20 </span>            : // Do not benchmark this method; it is simple by design.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="23"><span class="lineNum">      23 </span>            : {                                               \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_Free ((void **) &amp;vert, msg) ;       \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     LAGraph_Free ((void **) &amp;deg, msg) ;        \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     LAGraph_Free ((void **) &amp;bin, msg) ;        \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LAGraph_Free ((void **) &amp;pos, msg) ;        \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Free ((void **) &amp;Ap, msg) ;         \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LAGraph_Free ((void **) &amp;Aj, msg) ;         \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LAGraph_Free ((void **) &amp;Ax, msg) ;         \</a>
+<a name="31"><span class="lineNum">      31 </span>            : }</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="34"><span class="lineNum">      34 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="35"><span class="lineNum">      35 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="36"><span class="lineNum">      36 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          4 : int LG_check_kcore</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : (</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // outputs:</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_Vector *decomp,     // kcore decomposition</a>
+<a name="42"><span class="lineNum">      42 </span>            :     uint64_t *kmax,         // max kcore- if kfinal == -1, kmax = -1</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // inputs</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LAGraph_Graph G,        // input graph</a>
+<a name="45"><span class="lineNum">      45 </span>            :     int64_t kfinal,         // max k to check for graph.</a>
+<a name="46"><span class="lineNum">      46 </span>            :     char *msg</a>
+<a name="47"><span class="lineNum">      47 </span>            : )</a>
+<a name="48"><span class="lineNum">      48 </span>            : {</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            :     // check inputs</a>
+<a name="52"><span class="lineNum">      52 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          4 :     LG_CLEAR_MSG ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          4 :     uint64_t *vert = NULL, *pos = NULL, *bin = NULL, *deg = NULL ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          4 :     uint64_t maxDeg = 0;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          4 :     GrB_Index *Ap = NULL, *Aj = NULL, *Ai = NULL ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          4 :     void *Ax = NULL ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_Index Ap_size, Aj_size, Ax_size, n, ncols, Ap_len, Aj_len, Ax_len ;</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          4 :     LG_ASSERT (kmax != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          4 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          4 :     LG_ASSERT (G-&gt;nself_edges == 0, LAGRAPH_NO_SELF_EDGES_ALLOWED) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          4 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="65"><span class="lineNum">      65 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="66"><span class="lineNum">      66 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="67"><span class="lineNum">      67 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ; //set n to number of rows</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // export the matrix in CSR form</a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     size_t typesize ;</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          4 :     LG_TRY (LG_check_export (G, &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_len, &amp;Aj_len, &amp;Ax_len,</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :         &amp;typesize, msg)) ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            :     // compute the k-core</a>
+<a name="81"><span class="lineNum">      81 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            :     //printf (&quot;\n================================== COMPUTING BZ_KCORE: ==================================\n&quot;) ;</a>
+<a name="83"><span class="lineNum">      83 </span>            :     //printf(&quot;ap_len = %ld, aj_len = %ld, ax_len = %ld\n&quot;, Ap_len, Aj_len, Ax_len) ;</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            :     //create the arrays</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          4 :     LAGraph_Malloc((void **) &amp;deg, n, sizeof(uint64_t), msg) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          4 :     LAGraph_Malloc((void **) &amp;vert, n, sizeof(uint64_t), msg) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          4 :     LAGraph_Malloc((void **) &amp;pos, n, sizeof(uint64_t), msg) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     //core = AGraph_Malloc(n, sizeof(uint64_t)) ;</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        206 :     for(uint64_t i = 0; i &lt; n; i++){</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">        202 :         deg[i] = Ap[i+1] - Ap[i];</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        202 :         if (deg[i] &gt; maxDeg)</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         12 :             maxDeg = deg[i];</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     }</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            :     //setup output vector</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          4 :     GrB_Type int_type  = (maxDeg &gt; INT32_MAX) ? GrB_INT64 : GrB_INT32 ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new(decomp, int_type, n)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          4 :     GrB_IndexUnaryOp valueGE = (maxDeg &gt; INT32_MAX) ? GrB_VALUEGE_INT64 : GrB_VALUEGE_INT32 ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :     //setup bin array</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          4 :     LAGraph_Calloc((void **) &amp;bin, maxDeg + 1, sizeof(uint64_t), msg) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">        206 :     for(uint64_t i = 0; i &lt; n; i++){</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        202 :         bin[deg[i]]++;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :     }</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          4 :     uint64_t start = 0;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         74 :     for(uint64_t d = 0; d &lt; maxDeg + 1; d++){</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         70 :         uint64_t num = bin[d];</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         70 :         bin[d] = start;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         70 :         start = start + num;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :     }</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     //Do bin-sort</a>
+<a name="118"><span class="lineNum">     118 </span>            :     //vert -- contains the vertices in sorted order of degree</a>
+<a name="119"><span class="lineNum">     119 </span>            :     //pos -- contains the positon of a vertex in vert array</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        206 :     for(uint64_t i = 0; i &lt; n; i++){</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        202 :         pos[i] = bin[ deg[i] ];</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        202 :         vert[pos[i]] = i;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        202 :         bin[deg[i]] ++;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :     }</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         70 :     for(uint64_t d = maxDeg; d &gt;= 1; d --)</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         66 :         bin[d] = bin[d-1];</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          4 :     bin[0] = 0;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          4 :     uint64_t level = 0;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     //Compute k-core</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">        206 :     for(uint64_t i = 0; i &lt; n; i++){</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :         //get the vertex to check</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">        202 :         uint64_t v = vert[i];</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :         //set the element in the output vector: if doing KCALL, then add deg.</a>
+<a name="138"><span class="lineNum">     138 </span>            :         //If not, just set to kfinal's value.</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">        202 :         if((int64_t) deg[v] &gt;= kfinal){</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        201 :             if(kfinal == -1){</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">        101 :                 GRB_TRY(GrB_Vector_setElement(*decomp, deg[v], v)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :             }</a>
+<a name="143"><span class="lineNum">     143 </span>            :             else{</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">        100 :                 GRB_TRY(GrB_Vector_setElement(*decomp, kfinal, v)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :             }</a>
+<a name="146"><span class="lineNum">     146 </span>            :         }</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">        202 :         if(bin[deg[v]] == i){</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         12 :             level = deg[v];</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :         }</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        202 :         uint64_t start = Ap[v];</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        202 :         int64_t original_deg = Ap[v+1] - Ap[v]; //original deg before decremented</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">       1662 :         for(uint64_t j = 0; j &lt; original_deg; j++){</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">       1460 :             uint64_t u = Aj[start + j]; //a neighbor node of v</span></a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            :             //if we need to lower the neighbor's deg value, and relocate in bin</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">       1460 :             if(deg[u] &gt; deg[v]){</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">        462 :                 uint64_t du = deg[u];</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">        462 :                 uint64_t pu = pos[u];</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">        462 :                 uint64_t pw = bin[du];</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        462 :                 uint64_t w = vert[pw]; //the vertex situated at the beginning of the bin</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            :                 //swap around the vertices- w goes to the end, u goes to the beginning</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">        462 :                 if(u != w){</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">        296 :                     pos[u] = pw; vert[pu] = w;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">        296 :                     pos[w] = pu; vert[pw] = u;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :                 }</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :                 //increase starting index of bin @ du</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">        462 :                 bin[du]++;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :                 //decrease degree of u</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">        462 :                 deg[u]--;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :             }</a>
+<a name="175"><span class="lineNum">     175 </span>            :         }</a>
+<a name="176"><span class="lineNum">     176 </span>            :     }</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          4 :     LG_FREE_ALL;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          4 :     (*kmax) = level ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_wait(*decomp, GrB_MATERIALIZE));</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          4 :     return (GrB_SUCCESS);</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_kcoredecompose.c.func-sort-c.html b/experimental/test/LG_check_kcoredecompose.c.func-sort-c.html
new file mode 100644
index 0000000000..196b1359d3
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@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcoredecompose.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcoredecompose.c<span style="font-size: 80%;"> (<a href="LG_check_kcoredecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_kcoredecompose.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_kcoredecompose.c.gcov.html#37">LG_check_kcore_decompose</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
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+</html>
diff --git a/experimental/test/LG_check_kcoredecompose.c.func.html b/experimental/test/LG_check_kcoredecompose.c.func.html
new file mode 100644
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+
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcoredecompose.c - functions</title>
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+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcoredecompose.c<span style="font-size: 80%;"> (<a href="LG_check_kcoredecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_kcoredecompose.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_kcoredecompose.c.gcov.html#37">LG_check_kcore_decompose</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_kcoredecompose.c.gcov.html b/experimental/test/LG_check_kcoredecompose.c.gcov.html
new file mode 100644
index 0000000000..d7c5142c9f
--- /dev/null
+++ b/experimental/test/LG_check_kcoredecompose.c.gcov.html
@@ -0,0 +1,192 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_kcoredecompose.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_kcoredecompose.c<span style="font-size: 80%;"> (source / <a href="LG_check_kcoredecompose.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_kcoredecompose: deconstruct the graph into a k-core, given a</a>
+<a name="3"><span class="lineNum">       3 </span>            : // decompostion vector (simple method)</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This method is for testing only, to check the result of other, faster methods.</a>
+<a name="20"><span class="lineNum">      20 </span>            : // Do not benchmark this method; it is slow and simple by design.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #define LG_FREE_WORK                \</a>
+<a name="23"><span class="lineNum">      23 </span>            : {                                   \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;C) ;                 \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_free (&amp;deg) ;               \</a>
+<a name="26"><span class="lineNum">      26 </span>            : }</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="29"><span class="lineNum">      29 </span>            : {                                   \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LG_FREE_WORK                    \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (D) ;                  \</a>
+<a name="32"><span class="lineNum">      32 </span>            : }</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="36"><span class="lineNum">      36 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="37"><span class="lineNum">      37 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          3 : int LG_check_kcore_decompose</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : (</a>
+<a name="41"><span class="lineNum">      41 </span>            :     // outputs:</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_Matrix *D,              // kcore decomposition</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // inputs:</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_Vector decomp,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     uint64_t k,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     char *msg</a>
+<a name="48"><span class="lineNum">      48 </span>            : )</a>
+<a name="49"><span class="lineNum">      49 </span>            : {</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          3 :     LG_CLEAR_MSG ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            :     // declare items</a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          3 :     GrB_Matrix A = NULL, C = NULL;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          3 :     GrB_Vector deg = NULL;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          3 :     LG_ASSERT (D != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          3 :     (*D) = NULL ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          3 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          3 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          2 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          2 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span>            :          // the structure of A is known to be symmetric</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          2 :         A = G-&gt;A ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     }</a>
+<a name="68"><span class="lineNum">      68 </span>            :     else</a>
+<a name="69"><span class="lineNum">      69 </span>            :     {</a>
+<a name="70"><span class="lineNum">      70 </span>            :         // A is not known to be symmetric</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     }</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :     // no self edges can be present</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          2 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -1004, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     //create work scalars</a>
+<a name="78"><span class="lineNum">      78 </span>            :     GrB_Index size_matrix, nvals_matrix, size_vector, nvals_vector;</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_nrows(&amp;size_matrix, A)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_size(&amp;size_vector, decomp)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          2 :     LG_ASSERT_MSG (size_matrix == size_vector, -1003, &quot;Size of vector and of matrix must be same&quot;) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //create D and nvals scalars</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_new(D, GrB_INT64, size_matrix, size_matrix)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_nvals(&amp;nvals_matrix, A)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_nvals(&amp;nvals_vector, decomp));</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :     //extract out the values of the input graph</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          2 :     GrB_Index *row = NULL, *col = NULL , *matrix_values = NULL, *vector = NULL, *vector_values = NULL;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Malloc ((void **) &amp;row, nvals_matrix, sizeof (GrB_Index), msg));</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Malloc ((void **) &amp;col, nvals_matrix, sizeof (GrB_Index), msg));</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Malloc ((void **) &amp;matrix_values, nvals_matrix, sizeof (GrB_Index), msg));</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Malloc ((void **) &amp;vector, nvals_vector, sizeof (GrB_Index), msg));</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Malloc ((void **) &amp;vector_values, nvals_vector, sizeof (GrB_Index), msg));</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          2 :     GRB_TRY(GrB_Matrix_extractTuples(row, col, (int64_t *) matrix_values, &amp;nvals_matrix, A));</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          2 :     GRB_TRY(GrB_Vector_extractTuples(vector, (int64_t *) vector_values, &amp;size_vector, decomp));</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     //take all values that have row and col indices</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        732 :     for(uint64_t i = 0; i &lt; nvals_matrix; i++){</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        730 :         bool ok_row = false, ok_col = false;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">      25952 :         for(uint64_t j = 0; (j &lt; nvals_vector) &amp;&amp; (!ok_row || !ok_col); j++){</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">      25222 :             if(row[i] == vector[j] &amp;&amp; vector_values[j] &gt;= k)</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        651 :                 ok_row = true;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">      25222 :             if(col[i] == vector[j] &amp;&amp; vector_values[j] &gt;= k)</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        651 :                 ok_col = true;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :         }</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">        730 :         if(ok_row &amp;&amp; ok_col){</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">        604 :             GRB_TRY(GrB_Matrix_setElement(*D, matrix_values[i], row[i], col[i]));</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :         }</a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          2 :     LG_FREE_WORK;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Matrix_wait(*D, GrB_MATERIALIZE));</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :     return (GrB_SUCCESS);</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_ktruss.c.func-sort-c.html b/experimental/test/LG_check_ktruss.c.func-sort-c.html
new file mode 100644
index 0000000000..f4b3b6a7c4
--- /dev/null
+++ b/experimental/test/LG_check_ktruss.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_ktruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_ktruss.c<span style="font-size: 80%;"> (<a href="LG_check_ktruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_ktruss.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
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+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_ktruss.c.gcov.html#38">LG_check_ktruss</a></td>
+              <td class="coverFnHi">30</td>
+            </tr>
+  </table>
+  <br>
+  </center>
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+      <td width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_ktruss.c<span style="font-size: 80%;"> (<a href="LG_check_ktruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_ktruss.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
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+              <td class="coverFn"><a href="LG_check_ktruss.c.gcov.html#38">LG_check_ktruss</a></td>
+              <td class="coverFnHi">30</td>
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_ktruss.c</title>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_ktruss.c<span style="font-size: 80%;"> (source / <a href="LG_check_ktruss.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntry">49</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_ktruss: construct the ktruss of a graph (simple method)</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A very slow, bare-bones ktruss method.  This method is for testing only, to</a>
+<a name="19"><span class="lineNum">      19 </span>            : // check the result of other, faster methods.  Do not benchmark this method; it</a>
+<a name="20"><span class="lineNum">      20 </span>            : // is slow and simple by design.  G-&gt;A must be symmetric, with no entries on</a>
+<a name="21"><span class="lineNum">      21 </span>            : // its diagonal.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #define LG_FREE_WORK                            \</a>
+<a name="24"><span class="lineNum">      24 </span>            : {                                               \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     LAGraph_Free ((void **) &amp;Cp, NULL) ;        \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     LAGraph_Free ((void **) &amp;Cj, NULL) ;        \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LAGraph_Free ((void **) &amp;Cx, NULL) ;        \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Free ((void **) &amp;Ax, NULL) ;        \</a>
+<a name="29"><span class="lineNum">      29 </span>            : }</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="32"><span class="lineNum">      32 </span>            : {                                               \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     LG_FREE_WORK ;                              \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     GrB_free (&amp;C) ;                             \</a>
+<a name="35"><span class="lineNum">      35 </span>            : }</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="38"><span class="lineNum">      38 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">         30 : int LG_check_ktruss</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : (</a>
+<a name="42"><span class="lineNum">      42 </span>            :     // output</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_Matrix *C_handle,   // the ktruss of G-&gt;A, of type GrB_UINT32</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // input</a>
+<a name="45"><span class="lineNum">      45 </span>            :     LAGraph_Graph G,        // the structure of G-&gt;A must be symmetric</a>
+<a name="46"><span class="lineNum">      46 </span>            :     uint32_t k,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     char *msg</a>
+<a name="48"><span class="lineNum">      48 </span>            : )</a>
+<a name="49"><span class="lineNum">      49 </span>            : {</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            :     // check inputs</a>
+<a name="53"><span class="lineNum">      53 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">         30 :     LG_CLEAR_MSG ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         30 :     GrB_Matrix C = NULL ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         30 :     GrB_Index *Cp = NULL, *Cj = NULL ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         30 :     uint32_t *Cx = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         30 :     void *Ax = NULL ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            :     GrB_Index n, ncols, Cp_len, Cj_len, Cx_len, nvals1, nvals2 ;</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         30 :     LG_ASSERT (C_handle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         30 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         30 :     LG_ASSERT_MSG (G-&gt;nself_edges == 0, -104, &quot;G-&gt;nself_edges must be zero&quot;) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         30 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          9 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          9 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :     {</a>
+<a name="69"><span class="lineNum">      69 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="70"><span class="lineNum">      70 </span>            :         ;</a>
+<a name="71"><span class="lineNum">      71 </span>            :     }</a>
+<a name="72"><span class="lineNum">      72 </span>            :     else</a>
+<a name="73"><span class="lineNum">      73 </span>            :     {</a>
+<a name="74"><span class="lineNum">      74 </span>            :         // A is not known to be symmetric</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, -1005, &quot;G-&gt;A must be symmetric&quot;) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         29 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         29 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         29 :     LG_ASSERT_MSG (n == ncols, -1001, &quot;A must be square&quot;) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            :     // export G-&gt;A in CSR form and discard its values</a>
+<a name="83"><span class="lineNum">      83 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            :     size_t typesize ;</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         29 :     LG_TRY (LG_check_export (G, &amp;Cp, &amp;Cj, &amp;Ax, &amp;Cp_len, &amp;Cj_len, &amp;Cx_len,</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :         &amp;typesize, msg)) ;</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         29 :     LAGraph_Free ((void **) &amp;Ax, NULL) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // allocate Cx</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         29 :     LG_TRY (LAGraph_Malloc ((void **) &amp;Cx, Cx_len, sizeof (uint32_t), msg)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            :     // construct the k-truss of G-&gt;A</a>
+<a name="98"><span class="lineNum">      98 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            :     while (true)</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         47 :     {</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :         //----------------------------------------------------------------------</a>
+<a name="104"><span class="lineNum">     104 </span>            :         // compute the # of triangles incident on each edge of C</a>
+<a name="105"><span class="lineNum">     105 </span>            :         //----------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :         // masked dot-product method: C{C}=C*C' using the PLUS_ONE semiring</a>
+<a name="108"><span class="lineNum">     108 </span>            :         int64_t i;</a>
+<a name="109"><span class="lineNum">     109 </span>            :         #if !defined ( COVERAGE )</a>
+<a name="110"><span class="lineNum">     110 </span>            :         #pragma omp parallel for schedule(dynamic,1024)</a>
+<a name="111"><span class="lineNum">     111 </span>            :         #endif</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">      19130 :         for (i = 0 ; i &lt; n ; i++)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :         {</a>
+<a name="114"><span class="lineNum">     114 </span>            :             // for each entry in C(i,:)</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">      63472 :             for (int64_t p = Cp [i] ; p &lt; Cp [i+1] ; p++)</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :             {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">      44418 :                 const int64_t j = Cj [p] ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">      44418 :                 uint32_t cij = 0 ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :                 // cij += C(i,:) * C(j,:)'</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">      44418 :                 int64_t p1 = Cp [i] ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">      44418 :                 int64_t p1_end = Cp [i+1] ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">      44418 :                 int64_t p2 = Cp [j] ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">      44418 :                 int64_t p2_end = Cp [j+1] ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">     391970 :                 while (p1 &lt; p1_end &amp;&amp; p2 &lt; p2_end)</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :                 {</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">     347552 :                     int64_t j1 = Cj [p1] ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">     347552 :                     int64_t j2 = Cj [p2] ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">     347552 :                     if (j1 &lt; j2)</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :                     {</a>
+<a name="130"><span class="lineNum">     130 </span>            :                         // C(i,j1) appears before C(j,j2)</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">     133513 :                         p1++ ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :                     }</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">     214039 :                     else if (j2 &lt; j1)</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :                     {</a>
+<a name="135"><span class="lineNum">     135 </span>            :                         // C(j,j2) appears before C(i,j1)</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">     133513 :                         p2++ ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :                     }</a>
+<a name="138"><span class="lineNum">     138 </span>            :                     else // j1 == j2</a>
+<a name="139"><span class="lineNum">     139 </span>            :                     {</a>
+<a name="140"><span class="lineNum">     140 </span>            :                         // C(i,j1) and C(j,j1) are the next entries to merge</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">      80526 :                         cij++ ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">      80526 :                         p1++ ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">      80526 :                         p2++ ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :                     }</a>
+<a name="145"><span class="lineNum">     145 </span>            :                 }</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">      44418 :                 Cx [p] = cij ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :             }</a>
+<a name="148"><span class="lineNum">     148 </span>            :         }</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :         //----------------------------------------------------------------------</a>
+<a name="151"><span class="lineNum">     151 </span>            :         // import C in CSR form</a>
+<a name="152"><span class="lineNum">     152 </span>            :         //----------------------------------------------------------------------</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         76 :         GRB_TRY (GrB_Matrix_import_UINT32 (&amp;C, GrB_UINT32, n, n,</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :             Cp, Cj, Cx, Cp_len, Cj_len, Cx_len, GrB_CSR_FORMAT)) ;</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         76 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals1, C)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :         //----------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            :         // keep entries &gt;= k-2 and check for convergence</a>
+<a name="160"><span class="lineNum">     160 </span>            :         //----------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         76 :         GRB_TRY (GrB_select (C, NULL, NULL, GrB_VALUEGE_UINT32, C, k-2, NULL)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         76 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals2, C)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         76 :         if (nvals1 == nvals2)</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :         {</a>
+<a name="166"><span class="lineNum">     166 </span>            :             // C is now the k-truss of G-&gt;A</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         29 :             LG_FREE_WORK ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         29 :             (*C_handle) = C ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         29 :             return (GrB_SUCCESS) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :         }</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :         //----------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            :         // export C in CSR form for the next iteration and free it</a>
+<a name="174"><span class="lineNum">     174 </span>            :         //----------------------------------------------------------------------</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         47 :         GRB_TRY (GrB_Matrix_export_UINT32 (Cp, Cj, Cx,</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :             &amp;Cp_len, &amp;Cj_len, &amp;Cx_len, GrB_CSR_FORMAT, C)) ;</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         47 :         GRB_TRY (GrB_free (&amp;C)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :     }</a>
+<a name="180"><span class="lineNum">     180 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_mis.c.func-sort-c.html b/experimental/test/LG_check_mis.c.func-sort-c.html
new file mode 100644
index 0000000000..5d1b439e61
--- /dev/null
+++ b/experimental/test/LG_check_mis.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
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+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_mis.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_mis.c<span style="font-size: 80%;"> (<a href="LG_check_mis.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_mis.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_mis.c.gcov.html#31">LG_check_mis</a></td>
+              <td class="coverFnHi">339</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_mis.c.func.html b/experimental/test/LG_check_mis.c.func.html
new file mode 100644
index 0000000000..f2dd86e7a1
--- /dev/null
+++ b/experimental/test/LG_check_mis.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_mis.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_mis.c<span style="font-size: 80%;"> (<a href="LG_check_mis.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_mis.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_mis.c.gcov.html#31">LG_check_mis</a></td>
+              <td class="coverFnHi">339</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/LG_check_mis.c.gcov.html b/experimental/test/LG_check_mis.c.gcov.html
new file mode 100644
index 0000000000..859e2876b8
--- /dev/null
+++ b/experimental/test/LG_check_mis.c.gcov.html
@@ -0,0 +1,203 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/LG_check_mis.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - LG_check_mis.c<span style="font-size: 80%;"> (source / <a href="LG_check_mis.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_mis: test if iset is a maximal independent set</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                                       \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;C) ;                     \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ; \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LAGraph_Free ((void **) &amp;X, NULL) ; \</a>
+<a name="23"><span class="lineNum">      23 </span>            : }</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_FREE_ALL                     \</a>
+<a name="26"><span class="lineNum">      26 </span>            : {                                       \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LG_FREE_WORK ;                      \</a>
+<a name="28"><span class="lineNum">      28 </span>            : }</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="31"><span class="lineNum">      31 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        339 : int LG_check_mis        // check if iset is a valid MIS of A</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : (</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_Matrix A,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_Vector iset,</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_Vector ignore_node,     // if NULL, no nodes are ignored.  otherwise,</a>
+<a name="38"><span class="lineNum">      38 </span>            :                         // ignore_node(i)=true if node i is to be ignored, and</a>
+<a name="39"><span class="lineNum">      39 </span>            :                         // not added to the independent set.</a>
+<a name="40"><span class="lineNum">      40 </span>            :     char *msg</a>
+<a name="41"><span class="lineNum">      41 </span>            : )</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // check and report the results</a>
+<a name="46"><span class="lineNum">      46 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        339 :     LG_CLEAR_MSG ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        339 :     GrB_Matrix C = NULL ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        339 :     GrB_Index *I = NULL ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">        339 :     bool *X = NULL ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Index n ;</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            :     int64_t isize ;</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Vector_reduce_INT64 (&amp;isize, NULL, GrB_PLUS_MONOID_INT64,</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :         iset, NULL)) ;</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_Index nvals ;</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, iset)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        339 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg));</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        339 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (bool), msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Vector_extractTuples_BOOL (I, X, &amp;nvals, iset)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            :     // I [0..isize-1] is the independent set</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        339 :     isize = 0 ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">      46320 :     for (int64_t k = 0 ; k &lt; nvals ; k++)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">      45981 :         if (X [k])</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :         {</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">      45981 :             I [isize++] = I [k] ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :         }</a>
+<a name="75"><span class="lineNum">      75 </span>            :     }</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        339 :     LAGraph_Free ((void **) &amp;X, NULL) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :     // printf (&quot;independent set found: %.16g of %.16g nodes\n&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     // (double) isize, (double) n) ;</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            :     // verify the result</a>
+<a name="84"><span class="lineNum">      84 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            :     // C = A(I,I) must be empty, except for diagonal entries</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, isize, isize)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Matrix_extract (C, NULL, NULL, A, I, isize, I, isize, NULL)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        339 :     GRB_TRY (GrB_select (C, NULL, NULL, GrB_OFFDIAG, C, 0, NULL)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, C)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        339 :     LG_ASSERT_MSG (nvals == 0, -1, &quot;error!  A(I,I) has an edge!\n&quot;) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        339 :     GrB_Matrix_free (&amp;C) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span>            :     // now check if all other nodes are adjacent to the iset</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     // e = iset</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">        339 :     GrB_Vector e = NULL ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Vector_dup (&amp;e, iset)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            :     // e = e || ignore_node</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        339 :     int64_t ignored = 0 ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        339 :     if (ignore_node != NULL)</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :     {</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        160 :         GRB_TRY (GrB_eWiseAdd (e, NULL, NULL, GrB_LOR, e, ignore_node, NULL)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        160 :         GRB_TRY (GrB_reduce (&amp;ignored, NULL, GrB_PLUS_MONOID_INT64,</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :             ignore_node, NULL)) ;</a>
+<a name="107"><span class="lineNum">     107 </span>            :     }</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // e = (e || A*iset), using the structural semiring</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">        339 :     GRB_TRY (GrB_vxm (e, NULL, GrB_LOR, LAGraph_any_one_bool, iset, A, NULL)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :     // drop explicit zeros from e</a>
+<a name="113"><span class="lineNum">     113 </span>            :     // e&lt;e.replace&gt; = e</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">        339 :     GRB_TRY (GrB_assign (e, e, NULL, e, GrB_ALL, n, GrB_DESC_R)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        339 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, e)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">        339 :     GrB_Vector_free (&amp;e) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">        339 :     LG_ASSERT_MSG (nvals == n, -1, &quot;error! A (I,I is not maximal!\n&quot;) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        339 :     LAGraph_Free ((void **) &amp;I, NULL) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        339 :     printf (&quot;maximal independent set OK %.16g of %.16g nodes&quot;,</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :         (double) isize, (double) n) ;</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">        339 :     if (ignored &gt; 0) printf (&quot; (%g nodes ignored)\n&quot;, (double) ignored) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">        339 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">        339 :     return (GrB_SUCCESS) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/index-sort-f.html b/experimental/test/index-sort-f.html
new file mode 100644
index 0000000000..33433eaf3b
--- /dev/null
+++ b/experimental/test/index-sort-f.html
@@ -0,0 +1,323 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcore.c.gcov.html">LG_check_kcore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">65 / 65</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random.c.gcov.html">test_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">31 / 31</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcoredecompose.c.gcov.html">LG_check_kcoredecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_FastGraphletTransform.c.gcov.html">test_FastGraphletTransform.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">44 / 44</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_mis.c.gcov.html">LG_check_mis.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">38 / 38</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random_Matrix.c.gcov.html">test_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">67 / 67</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_HelloWorld.c.gcov.html">test_HelloWorld.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">19 / 19</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SSaveSet.c.gcov.html">test_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">34 / 34</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_ktruss.c.gcov.html">LG_check_ktruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">49 / 49</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_scc.c.gcov.html">test_scc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">50 / 50</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCore.c.gcov.html">test_KCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_cdlp.c.gcov.html">test_cdlp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">61 / 61</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKCore.c.gcov.html">test_AllKCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">76 / 76</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KTruss.c.gcov.html">test_KTruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">89 / 89</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_TriangleCentrality.c.gcov.html">test_TriangleCentrality.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">78 / 78</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCoreDecompose.c.gcov.html">test_KCoreDecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">75 / 75</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_lcc.c.gcov.html">test_lcc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">64 / 64</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SquareClustering.c.gcov.html">test_SquareClustering.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">27 / 27</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SWrite.c.gcov.html">test_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">142 / 142</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKtruss.c.gcov.html">test_AllKtruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">118 / 118</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_msf.c.gcov.html">test_msf.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">58 / 58</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_dnn.c.gcov.html">test_dnn.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">73 / 73</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_BF.c.gcov.html">test_BF.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">238 / 238</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_MaximalIndependentSet.c.gcov.html">test_MaximalIndependentSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">97 / 97</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/index-sort-l.html b/experimental/test/index-sort-l.html
new file mode 100644
index 0000000000..d34f503ae8
--- /dev/null
+++ b/experimental/test/index-sort-l.html
@@ -0,0 +1,323 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_HelloWorld.c.gcov.html">test_HelloWorld.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">19 / 19</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SquareClustering.c.gcov.html">test_SquareClustering.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">27 / 27</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random.c.gcov.html">test_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">31 / 31</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SSaveSet.c.gcov.html">test_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">34 / 34</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_mis.c.gcov.html">LG_check_mis.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">38 / 38</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcoredecompose.c.gcov.html">LG_check_kcoredecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_FastGraphletTransform.c.gcov.html">test_FastGraphletTransform.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">44 / 44</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_ktruss.c.gcov.html">LG_check_ktruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">49 / 49</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_scc.c.gcov.html">test_scc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">50 / 50</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_msf.c.gcov.html">test_msf.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">58 / 58</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_cdlp.c.gcov.html">test_cdlp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">61 / 61</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_lcc.c.gcov.html">test_lcc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">64 / 64</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcore.c.gcov.html">LG_check_kcore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">65 / 65</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random_Matrix.c.gcov.html">test_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">67 / 67</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCore.c.gcov.html">test_KCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_dnn.c.gcov.html">test_dnn.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">73 / 73</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCoreDecompose.c.gcov.html">test_KCoreDecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">75 / 75</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKCore.c.gcov.html">test_AllKCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">76 / 76</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_TriangleCentrality.c.gcov.html">test_TriangleCentrality.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">78 / 78</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KTruss.c.gcov.html">test_KTruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">89 / 89</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_MaximalIndependentSet.c.gcov.html">test_MaximalIndependentSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">97 / 97</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKtruss.c.gcov.html">test_AllKtruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">118 / 118</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SWrite.c.gcov.html">test_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">142 / 142</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_BF.c.gcov.html">test_BF.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">238 / 238</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/index.html b/experimental/test/index.html
new file mode 100644
index 0000000000..eb878afc81
--- /dev/null
+++ b/experimental/test/index.html
@@ -0,0 +1,323 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntry">1702</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntry">42</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcore.c.gcov.html">LG_check_kcore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">65 / 65</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_kcoredecompose.c.gcov.html">LG_check_kcoredecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_ktruss.c.gcov.html">LG_check_ktruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">49 / 49</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_mis.c.gcov.html">LG_check_mis.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">38 / 38</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKCore.c.gcov.html">test_AllKCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">76 / 76</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_AllKtruss.c.gcov.html">test_AllKtruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">118 / 118</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_BF.c.gcov.html">test_BF.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">238 / 238</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_FastGraphletTransform.c.gcov.html">test_FastGraphletTransform.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">44 / 44</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_HelloWorld.c.gcov.html">test_HelloWorld.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">19 / 19</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCore.c.gcov.html">test_KCore.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KCoreDecompose.c.gcov.html">test_KCoreDecompose.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">75 / 75</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_KTruss.c.gcov.html">test_KTruss.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">89 / 89</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_MaximalIndependentSet.c.gcov.html">test_MaximalIndependentSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">97 / 97</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random.c.gcov.html">test_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">31 / 31</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Random_Matrix.c.gcov.html">test_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">67 / 67</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SSaveSet.c.gcov.html">test_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">34 / 34</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SWrite.c.gcov.html">test_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">142 / 142</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SquareClustering.c.gcov.html">test_SquareClustering.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">27 / 27</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_TriangleCentrality.c.gcov.html">test_TriangleCentrality.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">78 / 78</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_cdlp.c.gcov.html">test_cdlp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">61 / 61</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_dnn.c.gcov.html">test_dnn.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">73 / 73</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_lcc.c.gcov.html">test_lcc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">64 / 64</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_msf.c.gcov.html">test_msf.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">58 / 58</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_scc.c.gcov.html">test_scc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">50 / 50</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_AllKCore.c.func-sort-c.html b/experimental/test/test_AllKCore.c.func-sort-c.html
new file mode 100644
index 0000000000..38f44d42f2
--- /dev/null
+++ b/experimental/test/test_AllKCore.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKCore.c<span style="font-size: 80%;"> (<a href="test_AllKCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_AllKCore.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKCore.c.gcov.html#50">test_AllKCore</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKCore.c.gcov.html#130">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_AllKCore.c.func.html b/experimental/test/test_AllKCore.c.func.html
new file mode 100644
index 0000000000..4ca3947de6
--- /dev/null
+++ b/experimental/test/test_AllKCore.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKCore.c<span style="font-size: 80%;"> (<a href="test_AllKCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
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+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_AllKCore.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
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+              <td class="coverFn"><a href="test_AllKCore.c.gcov.html#50">test_AllKCore</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKCore.c.gcov.html#130">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/experimental/test/test_AllKCore.c.gcov.html b/experimental/test/test_AllKCore.c.gcov.html
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@@ -0,0 +1,262 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKCore.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKCore.c<span style="font-size: 80%;"> (source / <a href="test_AllKCore.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/expirimental/test/test_AllKCore.c: test cases for full k-core</a>
+<a name="3"><span class="lineNum">       3 </span>            : // decomposition</a>
+<a name="4"><span class="lineNum">       4 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Vector c1 = NULL, c2 = NULL;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : typedef struct</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     uint64_t kmax ;</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const char *name ;</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : matrix_info ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : const matrix_info files [ ] =</a>
+<a name="41"><span class="lineNum">      41 </span>            : {</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {     4, &quot;karate.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     {     6, &quot;west0067.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // {   10, &quot;amazon0601.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // {   64, &quot;cit-Patents.mtx&quot;},</a>
+<a name="46"><span class="lineNum">      46 </span>            :     // {   2208, &quot;hollywood-2009.mtx&quot;},</a>
+<a name="47"><span class="lineNum">      47 </span>            :     // {   111, &quot;as-Skitter.mtx&quot;},</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { 0, &quot;&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            : } ;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 : void test_AllKCore (void)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          2 :     {</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :         // load the matrix as A</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          3 :         const char *aname = files [k].name ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          3 :         uint64_t kmax = files [k].kmax ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          3 :         if (strlen (aname) == 0) break;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          2 :         printf (&quot;\n================================== %s: ==================================\n&quot;, aname) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          2 :         TEST_CASE (aname) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          2 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          2 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          2 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          2 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          2 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :         // construct an undirected graph G with adjacency matrix A</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          2 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          2 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :         // check if the pattern is symmetric - if it isn't make it.</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          2 :         if (G-&gt;is_symmetric_structure == LAGraph_FALSE)</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :         {</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :             printf(&quot;This matrix is not symmetric. \n&quot;);</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :             // make the adjacency matrix symmetric</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :             OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :             OK (GrB_eWiseAdd (G-&gt;A, NULL, NULL, GrB_LOR, G-&gt;A, G-&gt;AT, NULL)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :             G-&gt;is_symmetric_structure = true ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :             // consider the graph as directed</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         }</a>
+<a name="87"><span class="lineNum">      87 </span>            :         else</a>
+<a name="88"><span class="lineNum">      88 </span>            :         {</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :         }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :         // check for self-edges, and remove them.</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          2 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :         {</a>
+<a name="96"><span class="lineNum">      96 </span>            :             // remove self-edges</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          2 :         int64_t check_kmax = -1; //flag to check kmax in LG_check_kcore</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :         uint64_t km1;</a>
+<a name="105"><span class="lineNum">     105 </span>            :         uint64_t km2;</a>
+<a name="106"><span class="lineNum">     106 </span>            :         bool ok;</a>
+<a name="107"><span class="lineNum">     107 </span>            :         //test the k-core</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          2 :         OK(LAGraph_KCore_All(&amp;c1, &amp;km1, G, msg)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :         // printf (&quot;kmax: %lu km1 %lu\n&quot;,  kmax, km1) ;</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          2 :         TEST_CHECK(kmax == km1) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          2 :         OK(LG_check_kcore(&amp;c2, &amp;km2, G, check_kmax, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :         // printf (&quot;kmax: %lu km1 %lu\n&quot;,  kmax, km2) ;</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :         TEST_CHECK(kmax == km2) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          2 :         TEST_CHECK(km1 == km2) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          2 :         OK (LAGraph_Vector_IsEqual (&amp;ok, c1, c2, msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          2 :         TEST_CHECK (ok) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          2 :         GrB_free (&amp;c1) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :         GrB_free (&amp;c2) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          2 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 : }</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            : //------------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : // test_errors</a>
+<a name="130"><span class="lineNum">     130 </span>            : //------------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : {</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :     uint64_t kmax ;</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :     // c is NULL</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     int result = LAGraph_KCore_All (NULL, &amp;kmax, G, msg) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // G is invalid</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     result = LAGraph_KCore_All (&amp;c, &amp;kmax, NULL, msg) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span>            :     // G may have self edges</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     result = LAGraph_KCore_All (&amp;c, &amp;kmax, G, msg) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            :     // G is undirected</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     result = LAGraph_KCore_All (&amp;c, &amp;kmax, G, msg) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 : }</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span>            : TEST_LIST = {</a>
+<a name="183"><span class="lineNum">     183 </span>            :     {&quot;AllKCore&quot;, test_AllKCore},</a>
+<a name="184"><span class="lineNum">     184 </span>            :     {&quot;AllKCore_errors&quot;, test_errors},</a>
+<a name="185"><span class="lineNum">     185 </span>            :     {NULL, NULL}</a>
+<a name="186"><span class="lineNum">     186 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_AllKtruss.c.func-sort-c.html b/experimental/test/test_AllKtruss.c.func-sort-c.html
new file mode 100644
index 0000000000..8088d50ccc
--- /dev/null
+++ b/experimental/test/test_AllKtruss.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKtruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKtruss.c<span style="font-size: 80%;"> (<a href="test_AllKtruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_AllKtruss.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKtruss.c.gcov.html#52">test_AllKTruss</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKtruss.c.gcov.html#194">test_allktruss_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_AllKtruss.c.func.html b/experimental/test/test_AllKtruss.c.func.html
new file mode 100644
index 0000000000..b47b7ae4b8
--- /dev/null
+++ b/experimental/test/test_AllKtruss.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKtruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKtruss.c<span style="font-size: 80%;"> (<a href="test_AllKtruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_AllKtruss.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKtruss.c.gcov.html#52">test_AllKTruss</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_AllKtruss.c.gcov.html#194">test_allktruss_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_AllKtruss.c.gcov.html b/experimental/test/test_AllKtruss.c.gcov.html
new file mode 100644
index 0000000000..83d99b7f51
--- /dev/null
+++ b/experimental/test/test_AllKtruss.c.gcov.html
@@ -0,0 +1,338 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_AllKtruss.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_AllKtruss.c<span style="font-size: 80%;"> (source / <a href="test_AllKtruss.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntry">118</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_AllKtest.c: test cases for all-k-truss</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix C1 = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : typedef struct</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            :     uint32_t ntriangles ;</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const char *name ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : matrix_info ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : const matrix_info files [ ] =</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            :     {     11, &quot;A.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {   2016, &quot;jagmesh7.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     { 342300, &quot;bcsstk13.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     {     45, &quot;karate.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     {      6, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {      4, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {      4, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     {      4, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {      5, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { 0, &quot;&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            : } ;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //****************************************************************************</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 : void test_AllKTruss (void)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     for (int id = 0 ; ; id++)</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          9 :     {</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :         // load the matrix as A</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         10 :         const char *aname = files [id].name ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         10 :         uint32_t ntriangles = files [id].ntriangles ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          9 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          9 :         fclose (f) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :         // construct an undirected graph G with adjacency matrix A</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          9 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :         // check for self-edges</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          9 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          9 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="81"><span class="lineNum">      81 </span>            :         {</a>
+<a name="82"><span class="lineNum">      82 </span>            :             // remove self-edges</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          2 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          2 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          2 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          2 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :         }</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // compute each k-truss</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          9 :         bool ok = false ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :         GrB_Index n ;</a>
+<a name="92"><span class="lineNum">      92 </span>            :         int64_t kmax ;</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          9 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :         GrB_Matrix *Cset ;</a>
+<a name="95"><span class="lineNum">      95 </span>            :         int64_t *ntris, *nedges, *nsteps ;</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          9 :         OK (LAGraph_Calloc ((void **) &amp;Cset  , n, sizeof (GrB_Matrix), msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;ntris , n, sizeof (int64_t), msg)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;nedges, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;nsteps, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          9 :         OK (LAGraph_AllKTruss (Cset, &amp;kmax, ntris, nedges, nsteps, G, msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          9 :         printf (&quot;all k-truss: kmax %g\n&quot;, (double) kmax) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :         // compute each k-truss using LAGraph_KTruss, and compare</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         48 :         for (int k = 3 ; k &lt; n ; k++)</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :         {</a>
+<a name="107"><span class="lineNum">     107 </span>            :             // printf (&quot;\n%d-truss:\n&quot;, k) ;</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         48 :             TEST_CHECK (k &lt;= kmax) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :             // compute the k-truss</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         48 :             OK (LAGraph_KTruss (&amp;C1, G, k, msg)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :             // check the result</a>
+<a name="113"><span class="lineNum">     113 </span>            :             GrB_Index nvals ;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         48 :             OK (GrB_Matrix_nvals (&amp;nvals, C1)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         48 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, C1, Cset [k], msg)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         48 :             TEST_CHECK (ok) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            :             // count the triangles in the 3-truss</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         48 :             uint32_t nt = 0 ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         48 :             OK (GrB_reduce (&amp;nt, NULL, GrB_PLUS_MONOID_UINT32, C1, NULL)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         48 :             nt = nt / 6 ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         48 :             if (k == 3)</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :             {</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          9 :                 TEST_CHECK (nt == ntriangles) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :             }</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         48 :             TEST_CHECK (nt == ntris [k]) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         48 :             TEST_CHECK (nvals == 2 * nedges [k]) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         48 :             TEST_CHECK (nsteps [k] &gt;= 0) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :             // free C1, and break if C1 is empty</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         48 :             OK (GrB_free (&amp;C1)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         48 :             if (nvals == 0)</span></a>
+<a name="133"><span class="lineNum">     133 </span>            :             {</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          9 :                 TEST_CHECK (k == kmax) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          9 :                 break ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :             }</a>
+<a name="137"><span class="lineNum">     137 </span>            :         }</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :         // convert to directed with symmetric structure and recompute</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          9 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          9 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :         int64_t k2 ;</a>
+<a name="143"><span class="lineNum">     143 </span>            :         GrB_Matrix *Cset2 ;</a>
+<a name="144"><span class="lineNum">     144 </span>            :         int64_t *ntris2, *nedges2, *nsteps2 ;</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          9 :         OK (LAGraph_Calloc ((void **) &amp;Cset2  , n, sizeof (GrB_Matrix), msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;ntris2 , n, sizeof (int64_t), msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;nedges2, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          9 :         OK (LAGraph_Malloc ((void **) &amp;nsteps2, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          9 :         OK (LAGraph_AllKTruss (Cset2, &amp;k2, ntris2, nedges2, nsteps2, G, msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          9 :         TEST_CHECK (k2 == kmax) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         84 :         for (int k = 0 ; k &lt;= kmax ; k++)</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :         {</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         75 :             TEST_CHECK (ntris2  [k] == ntris  [k]) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         75 :             TEST_CHECK (nedges2 [k] == nedges [k]) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         75 :             TEST_CHECK (nsteps2 [k] == nsteps [k]) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         75 :             if (k &lt; 3)</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :             {</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         27 :                 TEST_CHECK (Cset [k] == NULL) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         27 :                 TEST_CHECK (Cset2 [k] == NULL) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :             }</a>
+<a name="162"><span class="lineNum">     162 </span>            :             else</a>
+<a name="163"><span class="lineNum">     163 </span>            :             {</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         48 :                 OK (LAGraph_Matrix_IsEqual (&amp;ok, Cset [k], Cset2 [k], msg)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :             }</a>
+<a name="166"><span class="lineNum">     166 </span>            : //          if (!ok)</a>
+<a name="167"><span class="lineNum">     167 </span>            : //          {</a>
+<a name="168"><span class="lineNum">     168 </span>            : //              GxB_print (Cset [k], 2) ;</a>
+<a name="169"><span class="lineNum">     169 </span>            : //              GxB_print (Cset2 [k], 2) ;</a>
+<a name="170"><span class="lineNum">     170 </span>            : //          }</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         75 :             TEST_CHECK (ok) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         75 :             OK (GrB_free (&amp;(Cset [k]))) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         75 :             OK (GrB_free (&amp;(Cset2 [k]))) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :         }</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;Cset, NULL) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;ntris, NULL) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;nedges, NULL) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;nsteps, NULL) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;Cset2, NULL) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;ntris2, NULL) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;nedges2, NULL) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          9 :         LAGraph_Free ((void **) &amp;nsteps2, NULL) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            :     }</a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 : }</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span>            : //------------------------------------------------------------------------------</a>
+<a name="193"><span class="lineNum">     193 </span>            : // test_AllKTruss_errors</a>
+<a name="194"><span class="lineNum">     194 </span>            : //------------------------------------------------------------------------------</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 : void test_allktruss_errors (void)</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : {</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            :     GrB_Index n ;</a>
+<a name="214"><span class="lineNum">     214 </span>            :     int64_t kmax ;</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          1 :     OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :     int64_t *ntris, *nedges, *nsteps ;</a>
+<a name="217"><span class="lineNum">     217 </span>            :     GrB_Matrix *Cset ;</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     OK (LAGraph_Calloc ((void **) &amp;Cset  , n, sizeof (GrB_Matrix), msg)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;ntris , n, sizeof (int64_t), msg)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;nedges, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;nsteps, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :     // kmax is NULL</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :     int result = LAGraph_AllKTruss (Cset, NULL, ntris, nedges, nsteps, G, msg) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            :     // G is invalid</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :     result = LAGraph_AllKTruss (Cset, &amp;kmax, ntris, nedges, nsteps, NULL, msg) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :     // G may have self edges</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     result = LAGraph_AllKTruss (Cset, &amp;kmax, ntris, nedges, nsteps, G, msg) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            :     // G is undirected</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :     result = LAGraph_AllKTruss (Cset, &amp;kmax, ntris, nedges, nsteps, G, msg) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;Cset, NULL) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;ntris, NULL) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;nedges, NULL) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;nsteps, NULL) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          1 : }</span></a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            : //****************************************************************************</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            : TEST_LIST = {</a>
+<a name="259"><span class="lineNum">     259 </span>            :     {&quot;allktruss&quot;, test_AllKTruss},</a>
+<a name="260"><span class="lineNum">     260 </span>            :     {&quot;allktruss_errors&quot;, test_allktruss_errors},</a>
+<a name="261"><span class="lineNum">     261 </span>            :     {NULL, NULL}</a>
+<a name="262"><span class="lineNum">     262 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_BF.c.func-sort-c.html b/experimental/test/test_BF.c.func-sort-c.html
new file mode 100644
index 0000000000..62af53d2f7
--- /dev/null
+++ b/experimental/test/test_BF.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_BF.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_BF.c<span style="font-size: 80%;"> (<a href="test_BF.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_BF.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#54">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#64">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#70">test_BF</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_BF.c.func.html b/experimental/test/test_BF.c.func.html
new file mode 100644
index 0000000000..3bc93092a3
--- /dev/null
+++ b/experimental/test/test_BF.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_BF.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_BF.c<span style="font-size: 80%;"> (<a href="test_BF.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_BF.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#54">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#64">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BF.c.gcov.html#70">test_BF</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_BF.c.gcov.html b/experimental/test/test_BF.c.gcov.html
new file mode 100644
index 0000000000..67107e4a0c
--- /dev/null
+++ b/experimental/test/test_BF.c.gcov.html
@@ -0,0 +1,592 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_BF.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_BF.c<span style="font-size: 80%;"> (source / <a href="test_BF.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntry">238</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_BF</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen and Tim Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LG_Xtest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // globals</a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // test cases</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : typedef struct</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            :     bool has_negative_cycle ;</a>
+<a name="39"><span class="lineNum">      39 </span>            :     bool has_integer_weights ;</a>
+<a name="40"><span class="lineNum">      40 </span>            :     const char *name ;</a>
+<a name="41"><span class="lineNum">      41 </span>            : }</a>
+<a name="42"><span class="lineNum">      42 </span>            : matrix_info ;</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : const matrix_info files [ ] =</a>
+<a name="45"><span class="lineNum">      45 </span>            : {</a>
+<a name="46"><span class="lineNum">      46 </span>            :     0, 1, &quot;karate.mtx&quot;,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     1, 0, &quot;west0067.mtx&quot;,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     1, 1, &quot;matrix_int8.mtx&quot;,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     0, 0, &quot;&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : } ;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : // setup: start a test</a>
+<a name="54"><span class="lineNum">      54 </span>            : //------------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : {</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Init (msg)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 : }</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            : //------------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            : // teardown: finalize a test</a>
+<a name="64"><span class="lineNum">      64 </span>            : //------------------------------------------------------------------------------</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : {</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Finalize (msg)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 : }</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 : void test_BF (void)</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : {</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_Info info ;</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          3 :     {</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          4 :         GrB_Matrix A = NULL, AT = NULL, A_orig = NULL ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          4 :         GrB_Index *I = NULL, *J = NULL ; // for col/row indices of entries in A</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          4 :         double *W = NULL, *d = NULL ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          4 :         int64_t *pi = NULL, *pi10 = NULL ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          4 :         int32_t *W_int32 = NULL, *d10 = NULL ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          4 :         GrB_Vector d1 = NULL, d2 = NULL, d3 = NULL, d4 = NULL, d5 = NULL,</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          4 :             d5a = NULL, d6 = NULL, d7 = NULL, d8 = NULL, d9 = NULL, h1 = NULL,</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          4 :             h2 = NULL, h5 = NULL, h5a = NULL, h6 = NULL, pi1 = NULL, pi2 = NULL,</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          4 :             pi5 = NULL, pi5a = NULL, pi6 = NULL ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :         //----------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :         // read in a matrix from a file</a>
+<a name="92"><span class="lineNum">      92 </span>            :         //----------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span>            :         // load the matrix as A_orig</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A_orig, f, msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of valued matrix failed&quot;) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          3 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_Print (A_orig, LAGraph_SHORT, stdout, NULL)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          3 :         bool has_negative_cycle  = files [k].has_negative_cycle ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          3 :         bool has_integer_weights = files [k].has_integer_weights ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          3 :         int ktrials = (has_negative_cycle) ? 2 : 1 ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :         //----------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            :         // get the size of the problem</a>
+<a name="113"><span class="lineNum">     113 </span>            :         //----------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span>            :         GrB_Index nvals ;</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          3 :         GrB_Matrix_nvals (&amp;nvals, A_orig) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :         GrB_Index nrows, ncols ;</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          3 :         OK (GrB_Matrix_nrows (&amp;nrows, A_orig)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          3 :         OK (GrB_Matrix_ncols (&amp;ncols, A_orig)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          3 :         GrB_Index n = nrows ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          3 :         OK (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          3 :         OK (LAGraph_Malloc ((void **) &amp;J, nvals, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          3 :         OK (LAGraph_Malloc ((void **) &amp;W, nvals, sizeof (double), msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          3 :         OK (LAGraph_Malloc ((void **) &amp;W_int32, nvals, sizeof (int32_t), msg)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          3 :         OK (GrB_Matrix_extractTuples_FP64 (I, J, W, &amp;nvals, A_orig)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          3 :         if (has_integer_weights)</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :         {</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          2 :             OK (GrB_Matrix_extractTuples_INT32 (I, J, W_int32, &amp;nvals,</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :                 A_orig)) ;</a>
+<a name="131"><span class="lineNum">     131 </span>            :         }</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         //----------------------------------------------------------------------</a>
+<a name="134"><span class="lineNum">     134 </span>            :         // copy the matrix and set its diagonal to 0</a>
+<a name="135"><span class="lineNum">     135 </span>            :         //----------------------------------------------------------------------</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          3 :         OK (GrB_Matrix_dup (&amp;A, A_orig)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">        111 :         for (GrB_Index i = 0; i &lt; n; i++)</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :         {</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        108 :             OK (GrB_Matrix_setElement_FP64 (A, 0, i, i)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :         }</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         //----------------------------------------------------------------------</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // AT = A'</a>
+<a name="145"><span class="lineNum">     145 </span>            :         //----------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          3 :         double tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          3 :         OK (GrB_Matrix_free (&amp;AT)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          3 :         OK (GrB_Matrix_new (&amp;AT, GrB_FP64, ncols, nrows)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          3 :         OK (GrB_transpose (AT, NULL, NULL, A, NULL)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          3 :         double transpose_time = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          3 :         fprintf (stderr, &quot;transpose     time: %g\n&quot;, transpose_time) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            :         //----------------------------------------------------------------------</a>
+<a name="155"><span class="lineNum">     155 </span>            :         // get the source node</a>
+<a name="156"><span class="lineNum">     156 </span>            :         //----------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          3 :         GrB_Index s = 0 ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          3 :         fprintf (stderr, &quot;\n==========input graph: nodes: %g edges: %g &quot;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            :             &quot;source node: %g\n&quot;, (double) n, (double) nvals, (double) s) ;</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span>            :         //----------------------------------------------------------------------</a>
+<a name="163"><span class="lineNum">     163 </span>            :         // run 1 or 2 trials (2 negative weight cycles)</a>
+<a name="164"><span class="lineNum">     164 </span>            :         //----------------------------------------------------------------------</a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          8 :         for (int kk = 1 ; kk &lt;= ktrials ; kk++)</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :         {</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          5 :             int valid = (has_negative_cycle) ? GrB_NO_VALUE : GrB_SUCCESS ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :             //------------------------------------------------------------------</a>
+<a name="171"><span class="lineNum">     171 </span>            :             // run LAGraph_BF_full1 before setting the diagonal to 0</a>
+<a name="172"><span class="lineNum">     172 </span>            :             //------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          5 :             int ntrials = 1 ;   // increase this to 10, 100, whatever, for more</span></a>
+<a name="175"><span class="lineNum">     175 </span>            :                                 // accurate timing</a>
+<a name="176"><span class="lineNum">     176 </span>            :             // start the timer</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          5 :             double t5 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :             int result ;</a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :             {</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          5 :                 GrB_free (&amp;d5) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :                 GrB_free (&amp;pi5) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          5 :                 GrB_free (&amp;h5) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          5 :                 result = (LAGraph_BF_full1 (&amp;d5, &amp;pi5, &amp;h5, A_orig, s)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          5 :                 printf (&quot;result: %d\n&quot;, result) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             }</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :             // stop the timer</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          5 :             t5 = LAGraph_WallClockTime ( ) - t5 ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          5 :             t5 = t5 / ntrials;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_full1      time: %12.6e (sec), rate:&quot;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t5, 1e-6*((double) nvals) / t5) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            :             //------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            :             // run LAGraph_BF_full1a before setting the diagonal to 0</a>
+<a name="198"><span class="lineNum">     198 </span>            :             //------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span>            :             // start the timer</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          5 :             double t5a = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="204"><span class="lineNum">     204 </span>            :             {</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          5 :                 GrB_free (&amp;d5a) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          5 :                 GrB_free (&amp;pi5a) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          5 :                 GrB_free (&amp;h5a) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          5 :                 result = (LAGraph_BF_full1a (&amp;d5a, &amp;pi5a, &amp;h5a, A_orig, s)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :             }</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :             // stop the timer</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          5 :             t5a = LAGraph_WallClockTime ( ) - t5a ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          5 :             t5a = t5a / ntrials;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_full1a     time: %12.6e (sec), rate:&quot;</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t5a, 1e-6*((double) nvals) / t5a) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            :             //------------------------------------------------------------------</a>
+<a name="219"><span class="lineNum">     219 </span>            :             // run LAGraph_BF_full2 before setting the diagonal to 0</a>
+<a name="220"><span class="lineNum">     220 </span>            :             //------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            :             // start the timer</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          5 :             double t6 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :             {</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          5 :                 GrB_free (&amp;d6) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          5 :                 GrB_free (&amp;pi6) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          5 :                 GrB_free (&amp;h6) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          5 :                 result = LAGraph_BF_full2 (&amp;d6, &amp;pi6, &amp;h6, A_orig, s) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :             }</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :             // stop the timer</a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          5 :             t6 = LAGraph_WallClockTime ( ) - t6 ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          5 :             t6 = t6 / ntrials;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_full2      time: %12.6e (sec), rate:&quot;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t6, 1e-6*((double) nvals) / t6) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span>            :             //------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            :             // run the LAGraph_BF_full on node s</a>
+<a name="242"><span class="lineNum">     242 </span>            :             //------------------------------------------------------------------</a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :             // start the timer</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          5 :             double t1 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :             {</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          5 :                 GrB_free (&amp;d1) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          5 :                 GrB_free (&amp;pi1) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          5 :                 GrB_free (&amp;h1) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          5 :                 result = LAGraph_BF_full (&amp;d1, &amp;pi1, &amp;h1, A, s) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          5 :                 printf (&quot;result %d\n&quot;, result) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :             }</a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span>            :             // stop the timer</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          5 :             t1 = LAGraph_WallClockTime ( ) - t1 ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          5 :             t1 = t1 / ntrials;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_full       time: %12.6e (sec), rate:&quot;</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t1, 1e-6*((double) nvals) / t1) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;t(BF_full1) / t(BF_full):      %g\n&quot;, t5/t1) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span>            :             //------------------------------------------------------------------</a>
+<a name="265"><span class="lineNum">     265 </span>            :             // run the BF on node s with LAGraph_BF_basic</a>
+<a name="266"><span class="lineNum">     266 </span>            :             //------------------------------------------------------------------</a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            :             // start the timer</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          5 :             double t2 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :             {</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          5 :                 GrB_free (&amp;d3) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          5 :                 result = LAGraph_BF_basic (&amp;d3, A, s) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="276"><span class="lineNum">     276 </span>            :             }</a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            :             // stop the timer</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          5 :             t2 = LAGraph_WallClockTime ( ) - t2 ;</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">          5 :             t2 = t2 / ntrials;</span></a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_basic      time: %12.6e (sec), rate:&quot;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t2, 1e-6*((double) nvals) / t2) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;speedup of BF_basic:       %g\n&quot;, t1/t2) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :             //------------------------------------------------------------------</a>
+<a name="286"><span class="lineNum">     286 </span>            :             // run the BF on node s with LAGraph_pure_c</a>
+<a name="287"><span class="lineNum">     287 </span>            :             //------------------------------------------------------------------</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            :             // start the timer</a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          5 :             double t3 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="293"><span class="lineNum">     293 </span>            :             {</a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          5 :                 LAGraph_Free ((void **) &amp;d, NULL) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          5 :                 LAGraph_Free ((void **) &amp;pi, NULL) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          5 :                 result = LAGraph_BF_pure_c_double (&amp;d, &amp;pi, s, n, nvals,</span></a>
+<a name="297"><span class="lineNum">     297 </span>            :                     (const int64_t *) I, (const int64_t *) J, W) ;</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :             }</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            :             // stop the timer</a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">          5 :             t3 = LAGraph_WallClockTime ( ) - t3 ;</span></a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          5 :             t3 = t3 / ntrials;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_pure_c_double  : %12.6e (sec), rate:&quot;</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t3, 1e-6*((double) nvals) / t3) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;speedup of BF_pure_c:      %g\n&quot;, t1/t3) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          5 :             if (has_integer_weights)</span></a>
+<a name="309"><span class="lineNum">     309 </span>            :             {</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          3 :                 printf (&quot;pure_c integer:\n&quot;) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">          3 :                 LAGraph_Free ((void **) &amp;d10, NULL) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          3 :                 LAGraph_Free ((void **) &amp;pi10, NULL) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">          3 :                 result = LAGraph_BF_pure_c (&amp;d10, &amp;pi10, s, n, nvals,</span></a>
+<a name="314"><span class="lineNum">     314 </span>            :                     (const int64_t *) I, (const int64_t *) J, W_int32) ;</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">          3 :                 LAGraph_Free ((void **) &amp;pi10, NULL) ;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          3 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span>            :             }</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            :             //------------------------------------------------------------------</a>
+<a name="320"><span class="lineNum">     320 </span>            :             // run the LAGraph_BF_full_mxv on node s</a>
+<a name="321"><span class="lineNum">     321 </span>            :             //------------------------------------------------------------------</a>
+<a name="322"><span class="lineNum">     322 </span>            : </a>
+<a name="323"><span class="lineNum">     323 </span>            :             // start the timer</a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">          5 :             double t4 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :             {</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">          5 :                 GrB_free (&amp;d2) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          5 :                 GrB_free (&amp;pi2) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          5 :                 GrB_free (&amp;h2) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">          5 :                 result = LAGraph_BF_full_mxv (&amp;d2, &amp;pi2, &amp;h2, AT, s) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span>            :             }</a>
+<a name="334"><span class="lineNum">     334 </span>            : </a>
+<a name="335"><span class="lineNum">     335 </span>            :             // stop the timer</a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          5 :             t4 = LAGraph_WallClockTime ( ) - t4 ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          5 :             t4 = t4 / ntrials;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_full_mxv   time: %12.6e (sec), rate:&quot;</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t4, 1e-6*((double) nvals) / t4) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;speedup of BF_full_mxv:    %g\n&quot;, t1/t4) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            :             //------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            :             // run the BF on node s with LAGraph_BF_basic_mxv</a>
+<a name="344"><span class="lineNum">     344 </span>            :             //------------------------------------------------------------------</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span>            :             // start the timer</a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          5 :             double t7 = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span>            : </a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">         10 :             for (int trial = 0 ; trial &lt; ntrials ; trial++)</span></a>
+<a name="350"><span class="lineNum">     350 </span>            :             {</a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">          5 :                 GrB_free (&amp;d4) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">          5 :                 result = LAGraph_BF_basic_mxv (&amp;d4, AT, s) ;</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">          5 :                 TEST_CHECK (result == valid) ;</span></a>
+<a name="354"><span class="lineNum">     354 </span>            :             }</a>
+<a name="355"><span class="lineNum">     355 </span>            : </a>
+<a name="356"><span class="lineNum">     356 </span>            :             // stop the timer</a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          5 :             t7 = LAGraph_WallClockTime ( ) - t7 ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">          5 :             t7 = t7 / ntrials;</span></a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;BF_basic_mxv  time: %12.6e (sec), rate:&quot;</span></a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">          5 :                 &quot; %g (1e6 edges/sec)\n&quot;, t7, 1e-6*((double) nvals) / t7) ;</span></a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          5 :             fprintf (stderr, &quot;speedup of BF_basic_mxv:   %g\n&quot;, t1/t7) ;</span></a>
+<a name="362"><span class="lineNum">     362 </span>            : </a>
+<a name="363"><span class="lineNum">     363 </span>            :             //------------------------------------------------------------------</a>
+<a name="364"><span class="lineNum">     364 </span>            :             // run the BF on node s with LAGraph_BF_basic_pushpull</a>
+<a name="365"><span class="lineNum">     365 </span>            :             //------------------------------------------------------------------</a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          5 :             GrB_free (&amp;d7) ;</span></a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          5 :             result = (LAGraph_BF_basic_pushpull (&amp;d7, A, AT, s)) ;</span></a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          5 :             TEST_CHECK (result == valid) ;</span></a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          5 :             GrB_free (&amp;d8) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          5 :             result = (LAGraph_BF_basic_pushpull (&amp;d8, NULL, AT, s)) ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          5 :             TEST_CHECK (result == valid) ;</span></a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          5 :             GrB_free (&amp;d9) ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          5 :             result = (LAGraph_BF_basic_pushpull (&amp;d9, A, NULL, s)) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          5 :             TEST_CHECK (result == valid) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span>            : </a>
+<a name="379"><span class="lineNum">     379 </span>            :             //------------------------------------------------------------------</a>
+<a name="380"><span class="lineNum">     380 </span>            :             // check results</a>
+<a name="381"><span class="lineNum">     381 </span>            :             //------------------------------------------------------------------</a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          5 :             bool isequal = false ;</span></a>
+<a name="384"><span class="lineNum">     384 </span>            : </a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">          5 :             if (!has_negative_cycle)</span></a>
+<a name="386"><span class="lineNum">     386 </span>            :             {</a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          3 :                 TEST_CHECK (d != NULL &amp;&amp; d1 != NULL) ;</span></a>
+<a name="388"><span class="lineNum">     388 </span>            : </a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">        111 :                 for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="390"><span class="lineNum">     390 </span>            :                 {</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">        108 :                     double di = INFINITY ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">        108 :                     int64_t pii = 0;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">        108 :                     OK (GrB_Vector_extractElement (&amp;di, d1, i)) ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">        108 :                     TEST_CHECK (di == d[i]) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span>            : </a>
+<a name="396"><span class="lineNum">     396 </span>            :                     // since d5 is a dense vector filled with infinity, we have</a>
+<a name="397"><span class="lineNum">     397 </span>            :                     // to compare it against d seperaterly</a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">        108 :                     OK (GrB_Vector_extractElement (&amp;di, d5, i)) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">        108 :                     TEST_CHECK (di == d[i]) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span>            : </a>
+<a name="401"><span class="lineNum">     401 </span>            :                     // since d5a is a dense vector filled with infinity, we</a>
+<a name="402"><span class="lineNum">     402 </span>            :                     // have to compare it against d seperaterly</a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">        108 :                     OK (GrB_Vector_extractElement (&amp;di, d5a, i)) ;</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">        108 :                     TEST_CHECK (di == d[i]) ;</span></a>
+<a name="405"><span class="lineNum">     405 </span>            :                     /*</a>
+<a name="406"><span class="lineNum">     406 </span>            :                     OK (GrB_Vector_extractElement (&amp;pii, pi1, i)) ;</a>
+<a name="407"><span class="lineNum">     407 </span>            :                     TEST_CHECK (pii == pi[i]+1) ;</a>
+<a name="408"><span class="lineNum">     408 </span>            :                     */</a>
+<a name="409"><span class="lineNum">     409 </span>            :                 }</a>
+<a name="410"><span class="lineNum">     410 </span>            : </a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          3 :                 if (has_integer_weights)</span></a>
+<a name="412"><span class="lineNum">     412 </span>            :                 {</a>
+<a name="413"><span class="lineNum">     413 </span>            :                     // compare d and d10</a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">         43 :                     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="415"><span class="lineNum">     415 </span>            :                     {</a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">         41 :                         double d10i = (double) d10 [i] ;</span></a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">         41 :                         double di = (isinf (d [i])) ? INT32_MAX : d [i] ;</span></a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">         41 :                         TEST_CHECK (d10i == di) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span>            :                     }</a>
+<a name="420"><span class="lineNum">     420 </span>            :                 }</a>
+<a name="421"><span class="lineNum">     421 </span>            : </a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d3, NULL)) ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span>            : </a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d4, NULL)) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span>            : </a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d2, NULL)) ;</span></a>
+<a name="429"><span class="lineNum">     429 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="430"><span class="lineNum">     430 </span>            : </a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d6, NULL)) ;</span></a>
+<a name="432"><span class="lineNum">     432 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="433"><span class="lineNum">     433 </span>            : </a>
+<a name="434"><span class="lineNum">     434 </span>            :                 /*</a>
+<a name="435"><span class="lineNum">     435 </span>            :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, pi1, pi2, NULL)) ;</a>
+<a name="436"><span class="lineNum">     436 </span>            :                 TEST_CHECK (isequal) ;</a>
+<a name="437"><span class="lineNum">     437 </span>            :                 */</a>
+<a name="438"><span class="lineNum">     438 </span>            : </a>
+<a name="439"><span class="lineNum">     439 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d7, NULL)) ;</span></a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="441"><span class="lineNum">     441 </span>            : </a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d8, NULL)) ;</span></a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="444"><span class="lineNum">     444 </span>            : </a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          3 :                 OK (LAGraph_Vector_IsEqual (&amp;isequal, d1, d9, NULL)) ;</span></a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">          3 :                 TEST_CHECK (isequal) ;</span></a>
+<a name="447"><span class="lineNum">     447 </span>            :             }</a>
+<a name="448"><span class="lineNum">     448 </span>            : </a>
+<a name="449"><span class="lineNum">     449 </span>            :             //------------------------------------------------------------------</a>
+<a name="450"><span class="lineNum">     450 </span>            :             // ensure the matrix has all positive weights for next trial</a>
+<a name="451"><span class="lineNum">     451 </span>            :             //------------------------------------------------------------------</a>
+<a name="452"><span class="lineNum">     452 </span>            : </a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">          5 :             if (has_negative_cycle)</span></a>
+<a name="454"><span class="lineNum">     454 </span>            :             {</a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">          2 :                 printf (&quot;\n-------------------------- A = abs (A)\n&quot;) ;</span></a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">          2 :                 OK (GrB_apply (A,  NULL, NULL, GrB_ABS_FP64, A,  NULL)) ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">          2 :                 OK (GrB_apply (AT, NULL, NULL, GrB_ABS_FP64, AT, NULL)) ;</span></a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">          2 :                 OK (GrB_apply (A_orig, NULL, NULL, GrB_ABS_FP64, A_orig, NULL));</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">          2 :                 OK (GrB_Matrix_extractTuples_FP64  (I, J, W, &amp;nvals, A_orig)) ;</span></a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">          2 :                 if (has_integer_weights)</span></a>
+<a name="461"><span class="lineNum">     461 </span>            :                 {</a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">          1 :                     OK (GrB_Matrix_extractTuples_INT32 (I, J, W_int32, &amp;nvals,</span></a>
+<a name="463"><span class="lineNum">     463 </span>            :                         A_orig)) ;</a>
+<a name="464"><span class="lineNum">     464 </span>            :                 }</a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">          2 :                 has_negative_cycle = false ;</span></a>
+<a name="466"><span class="lineNum">     466 </span>            :             }</a>
+<a name="467"><span class="lineNum">     467 </span>            :         }</a>
+<a name="468"><span class="lineNum">     468 </span>            : </a>
+<a name="469"><span class="lineNum">     469 </span>            :         //----------------------------------------------------------------------</a>
+<a name="470"><span class="lineNum">     470 </span>            :         // free all workspace and finish</a>
+<a name="471"><span class="lineNum">     471 </span>            :         //----------------------------------------------------------------------</a>
+<a name="472"><span class="lineNum">     472 </span>            : </a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">          3 :         GrB_free (&amp;A) ;</span></a>
+<a name="474"><span class="lineNum">     474 </span><span class="lineCov">          3 :         GrB_free (&amp;A_orig) ;</span></a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">          3 :         GrB_free (&amp;AT) ;</span></a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;I, NULL) ;</span></a>
+<a name="477"><span class="lineNum">     477 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;J, NULL) ;</span></a>
+<a name="478"><span class="lineNum">     478 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;W, NULL) ;</span></a>
+<a name="479"><span class="lineNum">     479 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;W_int32, NULL) ;</span></a>
+<a name="480"><span class="lineNum">     480 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;d, NULL) ;</span></a>
+<a name="481"><span class="lineNum">     481 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;pi, NULL) ;</span></a>
+<a name="482"><span class="lineNum">     482 </span><span class="lineCov">          3 :         GrB_free (&amp;d1) ;</span></a>
+<a name="483"><span class="lineNum">     483 </span><span class="lineCov">          3 :         GrB_free (&amp;pi1) ;</span></a>
+<a name="484"><span class="lineNum">     484 </span><span class="lineCov">          3 :         GrB_free (&amp;h1) ;</span></a>
+<a name="485"><span class="lineNum">     485 </span><span class="lineCov">          3 :         GrB_free (&amp;d2) ;</span></a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">          3 :         GrB_free (&amp;pi2) ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">          3 :         GrB_free (&amp;h2) ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">          3 :         GrB_free (&amp;d3) ;</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">          3 :         GrB_free (&amp;d4) ;</span></a>
+<a name="490"><span class="lineNum">     490 </span><span class="lineCov">          3 :         GrB_free (&amp;d5) ;</span></a>
+<a name="491"><span class="lineNum">     491 </span><span class="lineCov">          3 :         GrB_free (&amp;pi5) ;</span></a>
+<a name="492"><span class="lineNum">     492 </span><span class="lineCov">          3 :         GrB_free (&amp;h5) ;</span></a>
+<a name="493"><span class="lineNum">     493 </span><span class="lineCov">          3 :         GrB_free (&amp;d5a) ;</span></a>
+<a name="494"><span class="lineNum">     494 </span><span class="lineCov">          3 :         GrB_free (&amp;pi5a) ;</span></a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">          3 :         GrB_free (&amp;h5a) ;</span></a>
+<a name="496"><span class="lineNum">     496 </span><span class="lineCov">          3 :         GrB_free (&amp;d6) ;</span></a>
+<a name="497"><span class="lineNum">     497 </span><span class="lineCov">          3 :         GrB_free (&amp;d7) ;</span></a>
+<a name="498"><span class="lineNum">     498 </span><span class="lineCov">          3 :         GrB_free (&amp;d8) ;</span></a>
+<a name="499"><span class="lineNum">     499 </span><span class="lineCov">          3 :         GrB_free (&amp;d9) ;</span></a>
+<a name="500"><span class="lineNum">     500 </span><span class="lineCov">          3 :         GrB_free (&amp;pi6) ;</span></a>
+<a name="501"><span class="lineNum">     501 </span><span class="lineCov">          3 :         GrB_free (&amp;h6) ;</span></a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">          3 :         LAGraph_Free ((void **) &amp;d10, NULL) ;</span></a>
+<a name="503"><span class="lineNum">     503 </span>            :     }</a>
+<a name="504"><span class="lineNum">     504 </span>            : </a>
+<a name="505"><span class="lineNum">     505 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="506"><span class="lineNum">     506 </span><span class="lineCov">          1 : }</span></a>
+<a name="507"><span class="lineNum">     507 </span>            : </a>
+<a name="508"><span class="lineNum">     508 </span>            : //------------------------------------------------------------------------------</a>
+<a name="509"><span class="lineNum">     509 </span>            : // TEST_LIST: list of tasks for this entire test</a>
+<a name="510"><span class="lineNum">     510 </span>            : //------------------------------------------------------------------------------</a>
+<a name="511"><span class="lineNum">     511 </span>            : </a>
+<a name="512"><span class="lineNum">     512 </span>            : TEST_LIST =</a>
+<a name="513"><span class="lineNum">     513 </span>            : {</a>
+<a name="514"><span class="lineNum">     514 </span>            :     { &quot;test_BF&quot;, test_BF },</a>
+<a name="515"><span class="lineNum">     515 </span>            :     { NULL, NULL }</a>
+<a name="516"><span class="lineNum">     516 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_FastGraphletTransform.c.func-sort-c.html b/experimental/test/test_FastGraphletTransform.c.func-sort-c.html
new file mode 100644
index 0000000000..5155196a85
--- /dev/null
+++ b/experimental/test/test_FastGraphletTransform.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_FastGraphletTransform.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_FastGraphletTransform.c<span style="font-size: 80%;"> (<a href="test_FastGraphletTransform.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_FastGraphletTransform.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_FastGraphletTransform.c.gcov.html#77">test_FastGraphletTransform</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_FastGraphletTransform.c.func.html b/experimental/test/test_FastGraphletTransform.c.func.html
new file mode 100644
index 0000000000..011455727e
--- /dev/null
+++ b/experimental/test/test_FastGraphletTransform.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_FastGraphletTransform.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_FastGraphletTransform.c<span style="font-size: 80%;"> (<a href="test_FastGraphletTransform.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_FastGraphletTransform.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_FastGraphletTransform.c.gcov.html#77">test_FastGraphletTransform</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_FastGraphletTransform.c.gcov.html b/experimental/test/test_FastGraphletTransform.c.gcov.html
new file mode 100644
index 0000000000..0bf3a4d60a
--- /dev/null
+++ b/experimental/test/test_FastGraphletTransform.c.gcov.html
@@ -0,0 +1,251 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_FastGraphletTransform.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_FastGraphletTransform.c<span style="font-size: 80%;"> (source / <a href="test_FastGraphletTransform.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntry">44</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_TriangleCount.cpp: test cases for triangle</a>
+<a name="3"><span class="lineNum">       3 </span>            : </a>
+<a name="4"><span class="lineNum">       4 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="5"><span class="lineNum">       5 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="6"><span class="lineNum">       6 </span>            : //</a>
+<a name="7"><span class="lineNum">       7 </span>            : // For additional details (including references to third party source code and</a>
+<a name="8"><span class="lineNum">       8 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="9"><span class="lineNum">       9 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="10"><span class="lineNum">      10 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="11"><span class="lineNum">      11 </span>            : // DM22-0790</a>
+<a name="12"><span class="lineNum">      12 </span>            : </a>
+<a name="13"><span class="lineNum">      13 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="16"><span class="lineNum">      16 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="17"><span class="lineNum">      17 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;LG_Xtest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LG_test.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;graph_zachary_karate.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg[LAGRAPH_MSG_LEN];</a>
+<a name="25"><span class="lineNum">      25 </span>            : LAGraph_Graph G = NULL;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char filename [LEN+1] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : int64_t karate_graphlet_counts [ ] =</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            :     1,16,17,102,18,81,197,13,352,6,34,171,10,2,30,7,</a>
+<a name="33"><span class="lineNum">      33 </span>            :     1,9,19,24,12,73,56,33,32,8,80,27,6,2,18,7,</a>
+<a name="34"><span class="lineNum">      34 </span>            :     1,10,34,34,11,72,179,84,54,17,75,51,20,6,8,7,</a>
+<a name="35"><span class="lineNum">      35 </span>            :     1,6,20,5,10,49,11,56,1,5,81,5,0,4,7,7,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     1,3,16,1,2,17,1,64,0,15,25,0,1,2,1,0,</a>
+<a name="37"><span class="lineNum">      37 </span>            :     1,4,15,3,3,15,14,64,0,14,25,2,1,2,2,0,</a>
+<a name="38"><span class="lineNum">      38 </span>            :     1,4,15,3,3,15,14,64,0,14,25,2,1,2,2,0,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     1,4,25,0,6,37,0,87,0,5,53,0,0,11,0,4,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     1,5,44,5,5,31,74,208,0,23,58,6,10,12,3,1,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     1,2,25,1,0,40,15,130,0,26,0,0,5,0,0,0,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     1,3,16,1,2,17,1,64,0,15,25,0,1,2,1,0,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     1,1,15,0,0,17,0,87,0,18,0,0,0,0,0,0,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     1,2,18,0,1,27,0,79,0,18,10,0,0,4,0,0,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     1,5,41,4,6,27,69,192,0,20,53,6,10,11,0,4,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     1,2,25,0,1,34,0,142,0,8,7,0,0,9,0,0,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     1,2,25,0,1,34,0,142,0,8,7,0,0,9,0,0,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     1,2,4,0,1,28,0,0,0,2,2,0,0,1,0,0,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     1,2,21,0,1,27,0,96,0,16,9,0,0,6,0,0,</a>
+<a name="50"><span class="lineNum">      50 </span>            :     1,2,25,0,1,34,0,142,0,8,7,0,0,9,0,0,</a>
+<a name="51"><span class="lineNum">      51 </span>            :     1,3,37,2,1,31,43,201,0,31,9,1,5,6,0,0,</a>
+<a name="52"><span class="lineNum">      52 </span>            :     1,2,25,0,1,34,0,142,0,8,7,0,0,9,0,0,</a>
+<a name="53"><span class="lineNum">      53 </span>            :     1,2,21,0,1,27,0,96,0,16,9,0,0,6,0,0,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     1,2,25,0,1,34,0,142,0,8,7,0,0,9,0,0,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     1,5,27,6,4,36,39,111,2,5,43,5,4,9,2,1,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     1,3,8,2,1,67,7,6,0,3,5,1,2,0,0,0,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     1,3,9,2,1,62,7,6,0,6,5,1,3,0,0,0,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     1,2,17,0,1,29,0,93,0,13,13,0,0,2,0,0,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     1,4,29,5,1,47,53,120,2,25,14,2,8,2,0,0,</a>
+<a name="60"><span class="lineNum">      60 </span>            :     1,3,28,2,1,59,23,122,0,25,17,1,7,1,0,0,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     1,4,24,2,4,34,11,111,0,4,43,1,0,9,2,1,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     1,4,33,3,3,56,39,138,0,18,32,3,5,9,0,1,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     1,6,42,12,3,34,149,216,9,25,23,10,10,9,1,0,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     1,12,23,53,13,56,150,40,139,10,75,34,10,4,45,2,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     1,17,18,121,15,81,210,3,507,9,26,123,25,1,48,2</a>
+<a name="66"><span class="lineNum">      66 </span>            : };</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            : int64_t A_graphlet_counts [ ] =</a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span>            :     1,3,8,1,2,1,0,2,0,5,2,0,3,4,1,0,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     1,5,5,5,5,0,0,0,1,0,0,4,5,5,4,1,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     1,5,3,3,7,0,1,0,0,0,5,1,1,2,7,2,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     1,5,3,3,7,0,1,0,0,0,5,1,1,2,7,2,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     1,3,8,1,2,1,0,2,0,5,2,0,3,4,1,0,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     1,4,6,1,5,0,0,2,0,0,6,0,2,4,2,2,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     1,5,5,5,5,0,0,0,1,0,0,4,5,5,4,1</a>
+<a name="77"><span class="lineNum">      77 </span>            : };</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 : void test_FastGraphletTransform(void)</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : {</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, F_net = NULL ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :     GrB_Index n ;</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     bool ok = 1 ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="89"><span class="lineNum">      89 </span>            :     // karate</a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :     {</a>
+<a name="93"><span class="lineNum">      93 </span>            :         // create the karate graph</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :         OK (fclose (f)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :         OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :         // get the net frequency matrix</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :         OK (LAGraph_FastGraphletTransform (&amp;F_net, G, true, msg)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :         printf (&quot;# Matrix: %s\n&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :         // check that each element matches fglt result</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         35 :         for (int i = 0 ; i &lt; n ; i++) {</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">        578 :             for (int j = 0 ; j &lt; 16 ; j++) {</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :                 int64_t x;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">        544 :                 if (GrB_Matrix_extractElement (&amp;x, F_net, j, i) == GrB_NO_VALUE)</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :                     x = 0 ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        544 :                 ok &amp;= (x == karate_graphlet_counts [16 * i + j]) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :             }</a>
+<a name="118"><span class="lineNum">     118 </span>            :         }</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 :         TEST_CHECK (ok) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 :         OK (GrB_free (&amp;F_net)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :     }</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            :     // A</a>
+<a name="128"><span class="lineNum">     128 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     {</a>
+<a name="131"><span class="lineNum">     131 </span>            :         // create the A graph</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;A.mtx&quot;) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :         OK (fclose (f)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :         OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :         // get the net frequency matrix</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :         OK (LAGraph_FastGraphletTransform (&amp;F_net, G, true, msg)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :         printf (&quot;# Matrix: %s\n&quot;, &quot;A.mtx&quot;) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :         // check that each element matches fglt result</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          8 :         for (int i = 0 ; i &lt; n ; i++) {</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        119 :             for (int j = 0 ; j &lt; 16 ; j++) {</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        112 :                 int64_t x = 0 ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        112 :                 OK (GrB_Matrix_extractElement (&amp;x, F_net, j, i)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        112 :                 ok &amp;= (x == A_graphlet_counts [16 * i + j]) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :             }</a>
+<a name="155"><span class="lineNum">     155 </span>            :         }</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :         TEST_CHECK (ok) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :         OK (GrB_free (&amp;F_net)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :     }</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            :     #endif</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 : }</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            : //****************************************************************************</a>
+<a name="171"><span class="lineNum">     171 </span>            : //****************************************************************************</a>
+<a name="172"><span class="lineNum">     172 </span>            : TEST_LIST = {</a>
+<a name="173"><span class="lineNum">     173 </span>            :     {&quot;FastGraphletTransform&quot;, test_FastGraphletTransform},</a>
+<a name="174"><span class="lineNum">     174 </span>            :     {NULL, NULL}</a>
+<a name="175"><span class="lineNum">     175 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_HelloWorld.c.func-sort-c.html b/experimental/test/test_HelloWorld.c.func-sort-c.html
new file mode 100644
index 0000000000..e9038f653e
--- /dev/null
+++ b/experimental/test/test_HelloWorld.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_HelloWorld.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_HelloWorld.c<span style="font-size: 80%;"> (<a href="test_HelloWorld.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_HelloWorld.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_HelloWorld.c.gcov.html#30">test_HelloWorld</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_HelloWorld.c.func.html b/experimental/test/test_HelloWorld.c.func.html
new file mode 100644
index 0000000000..83def21085
--- /dev/null
+++ b/experimental/test/test_HelloWorld.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_HelloWorld.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_HelloWorld.c<span style="font-size: 80%;"> (<a href="test_HelloWorld.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_HelloWorld.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_HelloWorld.c.gcov.html#30">test_HelloWorld</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_HelloWorld.c.gcov.html b/experimental/test/test_HelloWorld.c.gcov.html
new file mode 100644
index 0000000000..7a1cb0c02e
--- /dev/null
+++ b/experimental/test/test_HelloWorld.c.gcov.html
@@ -0,0 +1,161 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_HelloWorld.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_HelloWorld.c<span style="font-size: 80%;"> (source / <a href="test_HelloWorld.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntry">19</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_HelloWorld.c: test cases for LAGraph_HelloWorld</a>
+<a name="3"><span class="lineNum">       3 </span>            : //----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : // This is a very simple &quot;hello world&quot; example of a test program for an</a>
+<a name="17"><span class="lineNum">      17 </span>            : // algorithm in the experimental/algorithm folder.</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LG_Xtest.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;LG_test.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          1 : void test_HelloWorld (void)</span></a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // start LAGraph</a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     GrB_Matrix Y = NULL, A = NULL ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // test with the west0067 matrix</a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            :     // create the graph</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;west0067.mtx&quot;) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            :     // test the algorithm</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     OK (LAGraph_HelloWorld (&amp;Y, G, msg)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     // print the result</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     printf (&quot;\nOutput of LAGraph_HelloWorld:\n&quot;) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (Y, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     // check the result (ensure Y is equal to G-&gt;A)</a>
+<a name="63"><span class="lineNum">      63 </span>            :     bool ok ;</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;ok, Y, G-&gt;A, msg)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 :     TEST_CHECK (ok) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            :     // free everything and finalize LAGraph</a>
+<a name="69"><span class="lineNum">      69 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;Y)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 : }</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : //----------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            : // the make program is created by acutest, and it runs a list of tests:</a>
+<a name="79"><span class="lineNum">      79 </span>            : //----------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : TEST_LIST =</a>
+<a name="82"><span class="lineNum">      82 </span>            : {</a>
+<a name="83"><span class="lineNum">      83 </span>            :     {&quot;HelloWorld&quot;, test_HelloWorld},    // just one test in this example</a>
+<a name="84"><span class="lineNum">      84 </span>            :     {NULL, NULL}</a>
+<a name="85"><span class="lineNum">      85 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KCore.c.func-sort-c.html b/experimental/test/test_KCore.c.func-sort-c.html
new file mode 100644
index 0000000000..081c6b5c49
--- /dev/null
+++ b/experimental/test/test_KCore.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCore.c<span style="font-size: 80%;"> (<a href="test_KCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_KCore.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCore.c.gcov.html#48">test_KCore</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCore.c.gcov.html#117">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KCore.c.func.html b/experimental/test/test_KCore.c.func.html
new file mode 100644
index 0000000000..2c9310d6cb
--- /dev/null
+++ b/experimental/test/test_KCore.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KCore.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCore.c<span style="font-size: 80%;"> (<a href="test_KCore.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_KCore.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCore.c.gcov.html#48">test_KCore</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCore.c.gcov.html#117">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KCore.c.gcov.html b/experimental/test/test_KCore.c.gcov.html
new file mode 100644
index 0000000000..63c90ed984
--- /dev/null
+++ b/experimental/test/test_KCore.c.gcov.html
@@ -0,0 +1,249 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KCore.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCore.c<span style="font-size: 80%;"> (source / <a href="test_KCore.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/expirimental/test/test_KCore.c: test cases for single k-core</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Vector c1 = NULL, c2 = NULL;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : typedef struct</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            :     const char *name ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : }</a>
+<a name="36"><span class="lineNum">      36 </span>            : matrix_info ;</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : const matrix_info files [ ] =</a>
+<a name="39"><span class="lineNum">      39 </span>            : {</a>
+<a name="40"><span class="lineNum">      40 </span>            :     {&quot;karate.mtx&quot; },</a>
+<a name="41"><span class="lineNum">      41 </span>            :     {&quot;west0067.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     // {&quot;amazon0601.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // {&quot;cit-Patents.mtx&quot;},</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // {&quot;hollywood-2009.mtx&quot;},</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // {&quot;as-Skitter.mtx&quot;},</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {&quot;&quot;},</a>
+<a name="47"><span class="lineNum">      47 </span>            : } ;</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 : void test_KCore (void)</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : {</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          2 :     {</span></a>
+<a name="56"><span class="lineNum">      56 </span>            :         // load the matrix as A</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          3 :         const char *aname = files [k].name ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          3 :         if (strlen (aname) == 0) break;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          2 :         printf (&quot;\n================================== %s: ==================================\n&quot;, aname) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          2 :         TEST_CASE (aname) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          2 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          2 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          2 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          2 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          2 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            :         // construct an undirected graph G with adjacency matrix A</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          2 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          2 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :         // check if the pattern is symmetric - if it isn't make it.</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          2 :         if (G-&gt;is_symmetric_structure == LAGraph_FALSE)</span></a>
+<a name="75"><span class="lineNum">      75 </span>            :         {</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :             printf(&quot;This matrix is not symmetric. \n&quot;);</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :             // make the adjacency matrix symmetric</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :             OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :             OK (GrB_eWiseAdd (G-&gt;A, NULL, NULL, GrB_LOR, G-&gt;A, G-&gt;AT, NULL)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :             G-&gt;is_symmetric_structure = true ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            :             // consider the graph as directed</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :         }</a>
+<a name="84"><span class="lineNum">      84 </span>            :         else</a>
+<a name="85"><span class="lineNum">      85 </span>            :         {</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :         }</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // check for self-edges, and remove them.</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          2 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :         {</a>
+<a name="93"><span class="lineNum">      93 </span>            :             // remove self-edges</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :         }</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            :         uint64_t kmax;</a>
+<a name="101"><span class="lineNum">     101 </span>            :         bool ok;</a>
+<a name="102"><span class="lineNum">     102 </span>            :         //test the k-core</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          2 :         OK(LAGraph_KCore(&amp;c1, G, 2, msg)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          2 :         OK(LG_check_kcore(&amp;c2, &amp;kmax, G, 2, msg)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          2 :         OK (LAGraph_Vector_IsEqual (&amp;ok, c1, c2, msg)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          2 :         TEST_CHECK (ok) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          2 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     }</a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 : }</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span>            : //------------------------------------------------------------------------------</a>
+<a name="116"><span class="lineNum">     116 </span>            : // test_errors</a>
+<a name="117"><span class="lineNum">     117 </span>            : //------------------------------------------------------------------------------</a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : {</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     uint64_t k = 1; //some test k</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :     // c is NULL</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     int result = LAGraph_KCore (NULL, G, k, msg) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :     // G is invalid</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     result = LAGraph_KCore (&amp;c, NULL, k, msg) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :     // G may have self edges</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     result = LAGraph_KCore (&amp;c, G, k, msg) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // G is undirected</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     result = LAGraph_KCore (&amp;c, G, k, msg) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 : }</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            : TEST_LIST = {</a>
+<a name="170"><span class="lineNum">     170 </span>            :     {&quot;KCore&quot;, test_KCore},</a>
+<a name="171"><span class="lineNum">     171 </span>            :     {&quot;KCore_errors&quot;, test_errors},</a>
+<a name="172"><span class="lineNum">     172 </span>            :     {NULL, NULL}</a>
+<a name="173"><span class="lineNum">     173 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KCoreDecompose.c.func-sort-c.html b/experimental/test/test_KCoreDecompose.c.func-sort-c.html
new file mode 100644
index 0000000000..31b081a77e
--- /dev/null
+++ b/experimental/test/test_KCoreDecompose.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KCoreDecompose.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCoreDecompose.c<span style="font-size: 80%;"> (<a href="test_KCoreDecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_KCoreDecompose.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCoreDecompose.c.gcov.html#50">test_KCoreDecompose</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCoreDecompose.c.gcov.html#126">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KCoreDecompose.c.func.html b/experimental/test/test_KCoreDecompose.c.func.html
new file mode 100644
index 0000000000..e1d5b7cb9c
--- /dev/null
+++ b/experimental/test/test_KCoreDecompose.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCoreDecompose.c<span style="font-size: 80%;"> (<a href="test_KCoreDecompose.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+              <td class="coverFn"><a href="test_KCoreDecompose.c.gcov.html#50">test_KCoreDecompose</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KCoreDecompose.c.gcov.html#126">test_errors</a></td>
+              <td class="coverFnHi">1</td>
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diff --git a/experimental/test/test_KCoreDecompose.c.gcov.html b/experimental/test/test_KCoreDecompose.c.gcov.html
new file mode 100644
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KCoreDecompose.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KCoreDecompose.c<span style="font-size: 80%;"> (source / <a href="test_KCoreDecompose.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntry">75</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/expirimental/test/test_KCoreDecompose.c: test cases for k-core</a>
+<a name="3"><span class="lineNum">       3 </span>            : // decomposition</a>
+<a name="4"><span class="lineNum">       4 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Pranav Konduri, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix A = NULL, D1 = NULL, D2 = NULL;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Vector c = NULL;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : typedef struct</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     uint64_t kval ;</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const char *name ;</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : matrix_info ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : const matrix_info files [ ] =</a>
+<a name="41"><span class="lineNum">      41 </span>            : {</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {     4, &quot;karate.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     {     6, &quot;west0067.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // {   10, &quot;amazon0601.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // {   64, &quot;cit-Patents.mtx&quot;},</a>
+<a name="46"><span class="lineNum">      46 </span>            :     // {   2208, &quot;hollywood-2009.mtx&quot;},</a>
+<a name="47"><span class="lineNum">      47 </span>            :     // {   111, &quot;as-Skitter.mtx&quot;},</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { 0, &quot;&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            : } ;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 : void test_KCoreDecompose (void)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          2 :     {</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :         // load the matrix as A</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          3 :         const char *aname = files [k].name ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          3 :         uint64_t kval = files [k].kval ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          3 :         if (strlen (aname) == 0) break;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          2 :         TEST_CASE (aname) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          2 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          2 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          2 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          2 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          2 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :         // construct an undirected graph G with adjacency matrix A</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          2 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          2 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :         // check if the pattern is symmetric - if it isn't make it.</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          2 :         if (G-&gt;is_symmetric_structure == LAGraph_FALSE)</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :         {</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :             printf(&quot;This matrix is not symmetric. \n&quot;);</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :             // make the adjacency matrix symmetric</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :             OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :             OK (GrB_eWiseAdd (G-&gt;A, NULL, NULL, GrB_LOR, G-&gt;A, G-&gt;AT, NULL)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :             G-&gt;is_symmetric_structure = true ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :             // consider the graph as directed</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         }</a>
+<a name="87"><span class="lineNum">      87 </span>            :         else</a>
+<a name="88"><span class="lineNum">      88 </span>            :         {</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :             G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :         }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :         // check for self-edges, and remove them.</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          2 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          2 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :         {</a>
+<a name="96"><span class="lineNum">      96 </span>            :             // remove self-edges</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :         bool ok;</a>
+<a name="104"><span class="lineNum">     104 </span>            :         //get the kcore at the designated k-value</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          2 :         LAGraph_KCore(&amp;c, G, kval, msg) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :         //decompose the k-core from vector c into D1</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          2 :         LAGraph_KCore_Decompose(&amp;D1, G, c, kval, msg);</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :         //decompose the k-core from vector c into D2</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          2 :         LG_check_kcore_decompose(&amp;D2, G, c, kval, msg);</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            :         //check equality</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          2 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, D1, D2, msg)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :         TEST_CHECK(ok);</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          2 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     }</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :     #endif</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 : }</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            : //------------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : // test_errors</a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : {</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     uint64_t kval = 2 ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :     // c is NULL</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     int result = LAGraph_KCore_Decompose (&amp;D1, G, NULL, kval, msg) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :     // G is invalid</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     result = LAGraph_KCore_Decompose (&amp;D1, NULL, c, kval, msg) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :     // G may have self edges</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 :     result = LAGraph_KCore_Decompose(&amp;D1, G, c, kval, msg);</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :     // G is directed</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     result = LAGraph_KCore_Decompose(&amp;D1, G, c, kval, msg);</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     result = LG_check_kcore_decompose(&amp;D1, G, c, kval, msg);</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :     #endif</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          1 : }</span></a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            : TEST_LIST = {</a>
+<a name="186"><span class="lineNum">     186 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="187"><span class="lineNum">     187 </span>            :     {&quot;KCoreDecompose&quot;, test_KCoreDecompose},</a>
+<a name="188"><span class="lineNum">     188 </span>            :     {&quot;KCoreDecompose_errors&quot;, test_errors},</a>
+<a name="189"><span class="lineNum">     189 </span>            :     #endif</a>
+<a name="190"><span class="lineNum">     190 </span>            :     {NULL, NULL}</a>
+<a name="191"><span class="lineNum">     191 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KTruss.c.func-sort-c.html b/experimental/test/test_KTruss.c.func-sort-c.html
new file mode 100644
index 0000000000..356e900726
--- /dev/null
+++ b/experimental/test/test_KTruss.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KTruss.c<span style="font-size: 80%;"> (<a href="test_KTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_KTruss.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KTruss.c.gcov.html#52">test_ktruss</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KTruss.c.gcov.html#138">test_ktruss_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KTruss.c.func.html b/experimental/test/test_KTruss.c.func.html
new file mode 100644
index 0000000000..6203e8b584
--- /dev/null
+++ b/experimental/test/test_KTruss.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KTruss.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KTruss.c<span style="font-size: 80%;"> (<a href="test_KTruss.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_KTruss.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KTruss.c.gcov.html#52">test_ktruss</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KTruss.c.gcov.html#138">test_ktruss_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_KTruss.c.gcov.html b/experimental/test/test_KTruss.c.gcov.html
new file mode 100644
index 0000000000..e0fa428e95
--- /dev/null
+++ b/experimental/test/test_KTruss.c.gcov.html
@@ -0,0 +1,280 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_KTruss.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_KTruss.c<span style="font-size: 80%;"> (source / <a href="test_KTruss.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntry">89</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_KTruss.c: test cases for k-truss</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix C1 = NULL, C2 = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : typedef struct</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            :     uint32_t ntriangles ;</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const char *name ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : matrix_info ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : const matrix_info files [ ] =</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            :     {     11, &quot;A.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {   2016, &quot;jagmesh7.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            : //  { 342300, &quot;bcsstk13.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     {     45, &quot;karate.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     {      6, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {      4, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {      4, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     {      4, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {      5, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { 0, &quot;&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            : } ;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //****************************************************************************</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 : void test_ktruss (void)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     for (int id = 0 ; ; id++)</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          8 :     {</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :         // load the matrix as A</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          9 :         const char *aname = files [id].name ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          9 :         uint32_t ntriangles = files [id].ntriangles ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          9 :         if (strlen (aname) == 0) break;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          8 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          8 :         TEST_CASE (aname) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          8 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          8 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          8 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          8 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          8 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :         // construct an undirected graph G with adjacency matrix A</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          8 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          8 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :         // check for self-edges</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          8 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          8 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :         {</a>
+<a name="81"><span class="lineNum">      81 </span>            :             // remove self-edges</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         }</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :         // compute each k-truss until the result is empty</a>
+<a name="89"><span class="lineNum">      89 </span>            :         bool ok ;</a>
+<a name="90"><span class="lineNum">      90 </span>            :         GrB_Index n ;</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          8 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         21 :         for (int k = 3 ; k &lt; n ; k++)</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :         {</a>
+<a name="94"><span class="lineNum">      94 </span>            :             // compute the k-truss</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         21 :             printf (&quot;\n%d-truss:\n&quot;, k) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         21 :             OK (LAGraph_KTruss (&amp;C1, G, k, msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            :             // compute it again to check the result</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         21 :             OK (LG_check_ktruss (&amp;C2, G, k, msg)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         21 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, C1, C2, msg)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         21 :             TEST_CHECK (ok) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :             // count the triangles in the 3-truss</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         21 :             if (k == 3)</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :             {</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          8 :                 uint32_t nt = 0 ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          8 :                 OK (GrB_reduce (&amp;nt, NULL, GrB_PLUS_MONOID_UINT32, C1, NULL)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          8 :                 nt = nt / 6 ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          8 :                 TEST_CHECK (nt == ntriangles) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :             }</a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :             // free C1 and C2, and break if C1 is empty</a>
+<a name="113"><span class="lineNum">     113 </span>            :             GrB_Index nvals ;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         21 :             OK (GrB_Matrix_nvals (&amp;nvals, C1)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         21 :             OK (GrB_free (&amp;C1)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         21 :             OK (GrB_free (&amp;C2)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         21 :             if (nvals == 0) break ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :         }</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :         // convert to directed with symmetric structure and recompute</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          8 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          8 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          8 :         OK (LAGraph_KTruss (&amp;C1, G, 3, msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          8 :         OK (LG_check_ktruss (&amp;C2, G, 3, msg)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          8 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, C1, C2, msg)) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          8 :         TEST_CHECK (ok) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          8 :         OK (GrB_free (&amp;C1)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          8 :         OK (GrB_free (&amp;C2)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          8 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :     }</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 : }</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            : //------------------------------------------------------------------------------</a>
+<a name="137"><span class="lineNum">     137 </span>            : // test_ktruss_error</a>
+<a name="138"><span class="lineNum">     138 </span>            : //------------------------------------------------------------------------------</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 : void test_ktruss_errors (void)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : {</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // C is NULL</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     int result = LAGraph_KTruss (NULL, G, 3, msg) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     // k is invalid</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     result = LAGraph_KTruss (&amp;C1, G, 2, msg) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     TEST_CHECK (C1 == NULL) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span>            :     // G is invalid</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     result = LAGraph_KTruss (&amp;C1, NULL, 3, msg) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     TEST_CHECK (C1 == NULL) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :     // G may have self edges</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     result = LAGraph_KTruss (&amp;C1, G, 3, msg) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     TEST_CHECK (C1 == NULL) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span>            :     // G is undirected</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     result = LAGraph_KTruss (&amp;C1, G, 3, msg) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     TEST_CHECK (C1 == NULL) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          1 :     result = LG_check_ktruss (&amp;C1, G, 3, msg) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     TEST_CHECK (C1 == NULL) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 : }</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            : //****************************************************************************</a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span>            : TEST_LIST = {</a>
+<a name="201"><span class="lineNum">     201 </span>            :     {&quot;ktruss&quot;, test_ktruss},</a>
+<a name="202"><span class="lineNum">     202 </span>            :     {&quot;ktruss_errors&quot;, test_ktruss_errors},</a>
+<a name="203"><span class="lineNum">     203 </span>            :     {NULL, NULL}</a>
+<a name="204"><span class="lineNum">     204 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_MaximalIndependentSet.c.func-sort-c.html b/experimental/test/test_MaximalIndependentSet.c.func-sort-c.html
new file mode 100644
index 0000000000..7cb1b98d66
--- /dev/null
+++ b/experimental/test/test_MaximalIndependentSet.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_MaximalIndependentSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_MaximalIndependentSet.c<span style="font-size: 80%;"> (<a href="test_MaximalIndependentSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_MaximalIndependentSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#59">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#69">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#79">test_MIS</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_MaximalIndependentSet.c.func.html b/experimental/test/test_MaximalIndependentSet.c.func.html
new file mode 100644
index 0000000000..5e412979f9
--- /dev/null
+++ b/experimental/test/test_MaximalIndependentSet.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_MaximalIndependentSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_MaximalIndependentSet.c<span style="font-size: 80%;"> (<a href="test_MaximalIndependentSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
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+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
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+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_MaximalIndependentSet.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#59">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#69">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MaximalIndependentSet.c.gcov.html#79">test_MIS</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</body>
+</html>
diff --git a/experimental/test/test_MaximalIndependentSet.c.gcov.html b/experimental/test/test_MaximalIndependentSet.c.gcov.html
new file mode 100644
index 0000000000..e7583ab726
--- /dev/null
+++ b/experimental/test/test_MaximalIndependentSet.c.gcov.html
@@ -0,0 +1,327 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_MaximalIndependentSet.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_MaximalIndependentSet.c<span style="font-size: 80%;"> (source / <a href="test_MaximalIndependentSet.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_MaximalIndependentSet</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LG_Xtest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // test cases</a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : const char *files [ ] =</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            :     &quot;A.mtx&quot;,</a>
+<a name="31"><span class="lineNum">      31 </span>            :     &quot;jagmesh7.mtx&quot;,</a>
+<a name="32"><span class="lineNum">      32 </span>            :     &quot;bcsstk13.mtx&quot;,</a>
+<a name="33"><span class="lineNum">      33 </span>            :     &quot;karate.mtx&quot;,</a>
+<a name="34"><span class="lineNum">      34 </span>            :     &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="35"><span class="lineNum">      35 </span>            :     &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="37"><span class="lineNum">      37 </span>            :     &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="38"><span class="lineNum">      38 </span>            :     &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     &quot;LFAT5.mtx&quot;,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     &quot;LFAT5_two.mtx&quot;,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     &quot;cryg2500.mtx&quot;,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     &quot;msf2.mtx&quot;,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     &quot;olm1000.mtx&quot;,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     &quot;west0067.mtx&quot;,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     &quot;&quot;</a>
+<a name="47"><span class="lineNum">      47 </span>            : } ;</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #define LEN 512</a>
+<a name="50"><span class="lineNum">      50 </span>            : char filename [LEN+1] ;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="53"><span class="lineNum">      53 </span>            : GrB_Vector mis = NULL, ignore = NULL ;</a>
+<a name="54"><span class="lineNum">      54 </span>            : GrB_Matrix A = NULL, C = NULL, empty_row = NULL, empty_col = NULL ;</a>
+<a name="55"><span class="lineNum">      55 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : //------------------------------------------------------------------------------</a>
+<a name="58"><span class="lineNum">      58 </span>            : // setup: start a test</a>
+<a name="59"><span class="lineNum">      59 </span>            : //------------------------------------------------------------------------------</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : {</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Init (msg)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 : }</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : //------------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : // teardown: finalize a test</a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : {</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Finalize (msg)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 : }</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : //------------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            : // test_MaximalIndependentSet:  test MIS</a>
+<a name="79"><span class="lineNum">      79 </span>            : //------------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 : void test_MIS (void)</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : {</a>
+<a name="83"><span class="lineNum">      83 </span>            :     GrB_Info info ;</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         16 :     {</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // load the matrix as A</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         17 :         const char *aname = files [k] ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         17 :         if (strlen (aname) == 0) break;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         16 :         TEST_CASE (aname) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         16 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         16 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         16 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         16 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         16 :         OK (fclose (f)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         16 :         TEST_MSG (&quot;Loading of valued matrix failed&quot;) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         16 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :         // C = structure of A</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_Structure (&amp;C, A, msg)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :         // construct a directed graph G with adjacency matrix C</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         16 :         OK (LAGraph_New (&amp;G, &amp;C, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         16 :         TEST_CHECK (C == NULL) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :         // error handling test</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         16 :         int result = LAGraph_MaximalIndependentSet (&amp;mis, G, 0, NULL, msg) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         16 :         TEST_CHECK (result == -105) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         16 :         TEST_CHECK (mis == NULL) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :         // check if the pattern is symmetric</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         16 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         16 :         if (G-&gt;is_symmetric_structure == LAGraph_FALSE)</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :         {</a>
+<a name="119"><span class="lineNum">     119 </span>            :             // make the adjacency matrix symmetric</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          5 :             OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          5 :             OK (GrB_eWiseAdd (G-&gt;A, NULL, NULL, GrB_LOR, G-&gt;A, G-&gt;AT, NULL)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          5 :             G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :         }</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         16 :         G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :         // check for self-edges</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         16 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         16 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :         {</a>
+<a name="130"><span class="lineNum">     130 </span>            :             // remove self-edges</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          7 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          7 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          7 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          7 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :         }</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :         // compute the row degree</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         16 :         OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :         GrB_Index n ;</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         16 :         GrB_Matrix_nrows (&amp;n, G-&gt;A) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         // create ignore</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         16 :         OK (GrB_Vector_new (&amp;ignore, GrB_BOOL, n)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        880 :         for (int i = 0 ; i &lt; n ; i += 8)</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :         {</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        864 :             OK (GrB_Vector_setElement (ignore, (bool) true, i)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :         }</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         96 :         for (int64_t seed = 0 ; seed &lt;= 4*n ; seed += n)</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :         {</a>
+<a name="152"><span class="lineNum">     152 </span>            :             // compute the MIS with no ignored nodes</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         80 :             OK (LAGraph_MaximalIndependentSet (&amp;mis, G, seed, NULL, msg)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :             // check the result</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         80 :             OK (LG_check_mis (G-&gt;A, mis, NULL, msg)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         80 :             OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :             // compute the MIS with ignored nodes</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         80 :             OK (LAGraph_MaximalIndependentSet (&amp;mis, G, seed, ignore, msg)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            :             // check the result</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         80 :             OK (LG_check_mis (G-&gt;A, mis, ignore, msg)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         80 :             OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :         }</a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :         // create some singletons</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         16 :         GrB_Index nsingletons = 0 ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :         GrB_Index I [1] ;</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         16 :         OK (GrB_Matrix_new (&amp;empty_col, GrB_BOOL, n, 1)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         16 :         OK (GrB_Matrix_new (&amp;empty_row, GrB_BOOL, 1, n)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">        705 :         for (int64_t i = 0 ; i &lt; n ; i += 10)</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :         {</a>
+<a name="173"><span class="lineNum">     173 </span>            :             // make node i a singleton</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">        689 :             I [0] = i ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">        689 :             OK (GrB_assign (G-&gt;A, NULL, NULL, empty_col, GrB_ALL, n, I, 1,</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :                 NULL)) ;</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">        689 :             OK (GrB_assign (G-&gt;A, NULL, NULL, empty_row, I, 1, GrB_ALL, n,</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :                 NULL)) ;</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        689 :             nsingletons++ ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :         }</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         16 :         printf (&quot;creating at least %g singletons\n&quot;, (double) nsingletons) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         16 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         16 :         G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         16 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         16 :         G-&gt;nself_edges = 0 ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :         // recompute the out degree</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         16 :         OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :         GrB_Index nonsingletons, nsingletons_actual ;</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         16 :         OK (GrB_Vector_nvals (&amp;nonsingletons, G-&gt;out_degree)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         16 :         nsingletons_actual = n - nonsingletons ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         16 :         printf (&quot;actual # of singletons: %g\n&quot;, (double) nsingletons_actual) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         16 :         TEST_CHECK (nsingletons &lt;= nsingletons_actual) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         96 :         for (int64_t seed = 0 ; seed &lt;= 4*n ; seed += n)</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :         {</a>
+<a name="199"><span class="lineNum">     199 </span>            :             // compute the MIS with no ignored nodes</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">         80 :             OK (LAGraph_MaximalIndependentSet (&amp;mis, G, seed, NULL, msg)) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span>            :             // check the result</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         80 :             OK (LG_check_mis (G-&gt;A, mis, NULL, msg)) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         80 :             OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span>            :             // compute the MIS with ignored nodes</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">         80 :             OK (LAGraph_MaximalIndependentSet (&amp;mis, G, seed, ignore, msg)) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span>            :             // check the result</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         80 :             OK (LG_check_mis (G-&gt;A, mis, ignore, msg)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         80 :             OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            :         }</a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            :         // convert to directed with symmetric structure and recompute the MIS</a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         16 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">         16 :         OK (LAGraph_MaximalIndependentSet (&amp;mis, G, 0, NULL, msg)) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         // check the result</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         16 :         OK (LG_check_mis (G-&gt;A, mis, NULL, msg)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :         // hack the random number generator to induce an error condition</a>
+<a name="221"><span class="lineNum">     221 </span>            :         #if defined ( COVERAGE )</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         16 :         printf (&quot;Hack the random number generator to induce a stall:\n&quot;) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         16 :         random_hack = true ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         16 :         result = LAGraph_MaximalIndependentSet (&amp;mis, G, 0, NULL, msg) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         16 :         random_hack = false ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         16 :         printf (&quot;hack msg: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         16 :         TEST_CHECK (result == -111 || result == 0) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         16 :         if (result == 0)</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :         {</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          3 :             OK (LG_check_mis (G-&gt;A, mis, NULL, msg)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span>            :         }</a>
+<a name="232"><span class="lineNum">     232 </span>            :         #endif</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;mis)) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;ignore)) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;empty_col)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;empty_row)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         16 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :     }</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 : }</span></a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="244"><span class="lineNum">     244 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="245"><span class="lineNum">     245 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span>            : TEST_LIST =</a>
+<a name="248"><span class="lineNum">     248 </span>            : {</a>
+<a name="249"><span class="lineNum">     249 </span>            :     { &quot;MIS&quot;, test_MIS },</a>
+<a name="250"><span class="lineNum">     250 </span>            :     { NULL, NULL }</a>
+<a name="251"><span class="lineNum">     251 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random.c.func-sort-c.html b/experimental/test/test_Random.c.func-sort-c.html
new file mode 100644
index 0000000000..69f80be50c
--- /dev/null
+++ b/experimental/test/test_Random.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random.c<span style="font-size: 80%;"> (<a href="test_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Random.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Random.c.gcov.html#29">test_Random</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random.c.func.html b/experimental/test/test_Random.c.func.html
new file mode 100644
index 0000000000..333b187674
--- /dev/null
+++ b/experimental/test/test_Random.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random.c<span style="font-size: 80%;"> (<a href="test_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Random.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Random.c.gcov.html#29">test_Random</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random.c.gcov.html b/experimental/test/test_Random.c.gcov.html
new file mode 100644
index 0000000000..34a30daf78
--- /dev/null
+++ b/experimental/test/test_Random.c.gcov.html
@@ -0,0 +1,162 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random.c<span style="font-size: 80%;"> (source / <a href="test_Random.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntry">31</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Random.c: test cases for random vector generator</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Vector Seed = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // test_Random</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 : void test_Random (void)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : {</a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Init (msg)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     uint64_t seed = 42 ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_COMPLETE_VERBOSE ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          6 :     for (int trial = 0 ; trial &lt;= 4 ; trial++)</span></a>
+<a name="40"><span class="lineNum">      40 </span>            :     {</a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          5 :         seed++ ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          5 :         printf (&quot;\n=============================== seed: %g\n&quot;, (double) seed) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :         // generate a seed vector (all entries present)</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          5 :         printf (&quot;\nDense random vector:\n&quot;) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          5 :         GrB_Index n = 8 ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          5 :         OK (GrB_Vector_new (&amp;Seed, GrB_UINT64, n)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          5 :         OK (GrB_Vector_assign_UINT64 (Seed, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Seed (Seed, seed, msg)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          5 :         OK (LAGraph_Vector_Print (Seed, pr, stdout, NULL)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          5 :         printf (&quot;\nnext dense random vector:\n&quot;) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Next (Seed, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          5 :         OK (LAGraph_Vector_Print (Seed, pr, stdout, NULL)) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            :         // free all workspace</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          5 :         OK (GrB_Vector_free (&amp;Seed)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :         // generate a sparse seed vector</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          5 :         printf (&quot;\nSparse random vector (same seed):\n&quot;) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          5 :         OK (GrB_Vector_new (&amp;Seed, GrB_UINT64, n)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         25 :         for (int i = 0 ; i &lt; n ; i += 2)</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :         {</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         20 :             OK (GrB_Vector_setElement_UINT64 (Seed, 0, i)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :         }</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Seed (Seed, seed, msg)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          5 :         OK (LAGraph_Vector_Print (Seed, pr, stdout, NULL)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          5 :         printf (&quot;\nnext sparse random vector:\n&quot;) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Next (Seed, msg)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          5 :         OK (LAGraph_Vector_Print (Seed, pr, stdout, NULL)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :         // free all workspace</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          5 :         OK (GrB_Vector_free (&amp;Seed)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :     }</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Finalize (msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 : }</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            : //------------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : // Test list</a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : TEST_LIST = {</a>
+<a name="84"><span class="lineNum">      84 </span>            :     {&quot;Random&quot;, test_Random},</a>
+<a name="85"><span class="lineNum">      85 </span>            :     {NULL, NULL}</a>
+<a name="86"><span class="lineNum">      86 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random_Matrix.c.func-sort-c.html b/experimental/test/test_Random_Matrix.c.func-sort-c.html
new file mode 100644
index 0000000000..118717905d
--- /dev/null
+++ b/experimental/test/test_Random_Matrix.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random_Matrix.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random_Matrix.c<span style="font-size: 80%;"> (<a href="test_Random_Matrix.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Random_Matrix.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Random_Matrix.c.gcov.html#31">test_Random_Matrix</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random_Matrix.c.func.html b/experimental/test/test_Random_Matrix.c.func.html
new file mode 100644
index 0000000000..9dc041260c
--- /dev/null
+++ b/experimental/test/test_Random_Matrix.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random_Matrix.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random_Matrix.c<span style="font-size: 80%;"> (<a href="test_Random_Matrix.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Random_Matrix.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Random_Matrix.c.gcov.html#31">test_Random_Matrix</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_Random_Matrix.c.gcov.html b/experimental/test/test_Random_Matrix.c.gcov.html
new file mode 100644
index 0000000000..09348fea6f
--- /dev/null
+++ b/experimental/test/test_Random_Matrix.c.gcov.html
@@ -0,0 +1,205 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_Random_Matrix.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_Random_Matrix.c<span style="font-size: 80%;"> (source / <a href="test_Random_Matrix.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Random_Matrix.c: test cases for random matrix generator</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : GrB_Vector Seed = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Type MyInt = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : typedef int myint ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : // test_Random_Matrix</a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 : void test_Random_Matrix (void)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     uint64_t seed = 42 ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_COMPLETE_VERBOSE ;</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          6 :     for (int trial = 0 ; trial &lt;= 4 ; trial++)</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :     {</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          5 :         seed++ ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          5 :         printf (&quot;\n=============================== seed: %g\n&quot;, (double) seed) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          5 :         double d = (trial == 4) ? INFINITY : ((double) trial / 4) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          5 :         printf (&quot;density: %g, expected values: %g\n&quot;, d, d*20) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          5 :         printf (&quot;\n----------------bool:\n&quot;) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_BOOL, 4, 5, d, seed, msg)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          5 :         printf (&quot;\n----------------int8:\n&quot;) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_INT8, 4, 5, d, seed, msg)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          5 :         printf (&quot;\n----------------int16:\n&quot;) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_INT16, 4, 5, d, seed, msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          5 :         printf (&quot;\n----------------int32:\n&quot;) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_INT32, 4, 5, d, seed, msg)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          5 :         printf (&quot;\n----------------int64:\n&quot;) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_INT64, 4, 5, d, seed, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          5 :         printf (&quot;\n----------------uint8:\n&quot;) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_UINT8, 4, 5, d, seed, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :         printf (&quot;\n----------------uint16:\n&quot;) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_UINT16, 4, 5, d, seed, msg)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          5 :         printf (&quot;\n----------------uint32:\n&quot;) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_UINT32, 4, 5, d, seed, msg)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          5 :         printf (&quot;\n----------------uint64:\n&quot;) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_UINT64, 4, 5, d, seed, msg)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          5 :         printf (&quot;\n----------------fp32:\n&quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_FP32, 4, 5, d, seed, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          5 :         printf (&quot;\n----------------fp64:\n&quot;) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          5 :         OK (LAGraph_Random_Matrix (&amp;A, GrB_FP64, 4, 5, d, seed, msg)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          5 :         OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          5 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     printf (&quot;\n----------------empty bool:\n&quot;) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Matrix (&amp;A, GrB_BOOL, 0, 5, 0.5, seed, msg)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (A, pr, stdout, NULL)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 :     printf (&quot;\n----------------invalid type:\n&quot;) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;MyInt, sizeof (myint))) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     int result = LAGraph_Random_Matrix (&amp;A, MyInt, 0, 5, 0.5, seed, msg) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     printf (&quot;result %d msg [%s]\n&quot;, result, msg) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;MyInt)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Finalize (msg)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 : }</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            : //------------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            : // Test list</a>
+<a name="124"><span class="lineNum">     124 </span>            : //------------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            : TEST_LIST = {</a>
+<a name="127"><span class="lineNum">     127 </span>            :     {&quot;Random_Matrix&quot;, test_Random_Matrix},</a>
+<a name="128"><span class="lineNum">     128 </span>            :     {NULL, NULL}</a>
+<a name="129"><span class="lineNum">     129 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SSaveSet.c.func-sort-c.html b/experimental/test/test_SSaveSet.c.func-sort-c.html
new file mode 100644
index 0000000000..ce3d7ae33d
--- /dev/null
+++ b/experimental/test/test_SSaveSet.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SSaveSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SSaveSet.c<span style="font-size: 80%;"> (<a href="test_SSaveSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SSaveSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SSaveSet.c.gcov.html#88">test_SSaveSet</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SSaveSet.c.func.html b/experimental/test/test_SSaveSet.c.func.html
new file mode 100644
index 0000000000..7c97503347
--- /dev/null
+++ b/experimental/test/test_SSaveSet.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SSaveSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SSaveSet.c<span style="font-size: 80%;"> (<a href="test_SSaveSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SSaveSet.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SSaveSet.c.gcov.html#88">test_SSaveSet</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SSaveSet.c.gcov.html b/experimental/test/test_SSaveSet.c.gcov.html
new file mode 100644
index 0000000000..056e31e409
--- /dev/null
+++ b/experimental/test/test_SSaveSet.c.gcov.html
@@ -0,0 +1,244 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SSaveSet.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SSaveSet.c<span style="font-size: 80%;"> (source / <a href="test_SSaveSet.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntry">34</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_SWrite.c: test cases for LAGraph_SWrite and SRead</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix B = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix *S = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #define NFILES 51</a>
+<a name="33"><span class="lineNum">      33 </span>            : const char *files [ ] =</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     &quot;A.mtx&quot;,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     &quot;cover.mtx&quot;,</a>
+<a name="37"><span class="lineNum">      37 </span>            :     &quot;cover_structure.mtx&quot;,</a>
+<a name="38"><span class="lineNum">      38 </span>            :     &quot;jagmesh7.mtx&quot;,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     &quot;LFAT5.mtx&quot;,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     &quot;msf1.mtx&quot;,</a>
+<a name="50"><span class="lineNum">      50 </span>            :     &quot;msf2.mtx&quot;,</a>
+<a name="51"><span class="lineNum">      51 </span>            :     &quot;msf3.mtx&quot;,</a>
+<a name="52"><span class="lineNum">      52 </span>            :     &quot;sample2.mtx&quot;,</a>
+<a name="53"><span class="lineNum">      53 </span>            :     &quot;sample.mtx&quot;,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     &quot;sources_7.mtx&quot;,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     &quot;olm1000.mtx&quot;,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     &quot;bcsstk13.mtx&quot;,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     &quot;cryg2500.mtx&quot;,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     &quot;tree-example.mtx&quot;,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     &quot;west0067.mtx&quot;,</a>
+<a name="60"><span class="lineNum">      60 </span>            :     &quot;lp_afiro.mtx&quot;,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     &quot;lp_afiro_structure.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     &quot;karate.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     &quot;matrix_bool.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     &quot;matrix_int8.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     &quot;matrix_int16.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     &quot;matrix_int32.mtx&quot;,</a>
+<a name="67"><span class="lineNum">      67 </span>            :     &quot;matrix_int64.mtx&quot;,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     &quot;matrix_uint8.mtx&quot;,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     &quot;matrix_uint16.mtx&quot;,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     &quot;matrix_uint32.mtx&quot;,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     &quot;matrix_uint64.mtx&quot;,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     &quot;matrix_fp32.mtx&quot;,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     &quot;matrix_fp32_structure.mtx&quot;,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     &quot;matrix_fp64.mtx&quot;,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     &quot;west0067_jumbled.mtx&quot;,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     &quot;skew_fp32.mtx&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     &quot;skew_fp64.mtx&quot;,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     &quot;skew_int8.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     &quot;skew_int16.mtx&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     &quot;skew_int32.mtx&quot;,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     &quot;skew_int64.mtx&quot;,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     &quot;structure.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     &quot;full.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     &quot;full_symmetric.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     &quot;empty.mtx&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     &quot;&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            : } ;</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            : //****************************************************************************</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 : void test_SSaveSet (void)</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          1 :     GrB_Descriptor desc = NULL ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :     OK (GrB_Descriptor_new (&amp;desc)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     OK (GxB_set (desc, GxB_COMPRESSION, GxB_COMPRESSION_LZ4HC + 9)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     #endif</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     // load all matrices into a single set</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     GrB_Matrix *Set = NULL ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;Set, NFILES, sizeof (GrB_Matrix), msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         52 :     for (int k = 0 ; k &lt; NFILES ; k++)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // load the matrix as Set [k]</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         51 :         const char *aname = files [k] ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         51 :         if (strlen (aname) == 0) break;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         51 :         TEST_CASE (aname) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         51 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         51 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         51 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;(Set [k]), f, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         51 :         fclose (f) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :     // workaround for bug in v6.0.0 to v6.0.2:</a>
+<a name="117"><span class="lineNum">     117 </span>            :     // ensure the matrix is not iso</a>
+<a name="118"><span class="lineNum">     118 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="119"><span class="lineNum">     119 </span>            :     #if GxB_IMPLEMENTATION &lt; GxB_VERSION (6,0,3)</a>
+<a name="120"><span class="lineNum">     120 </span>            :     printf (&quot;\nworkaround for bug in SS:GrB v6.0.2 (fixed in v6.0.3)\n&quot;) ;</a>
+<a name="121"><span class="lineNum">     121 </span>            :     for (int k = 0 ; k &lt; NFILES ; k++)</a>
+<a name="122"><span class="lineNum">     122 </span>            :     {</a>
+<a name="123"><span class="lineNum">     123 </span>            :         OK (GrB_Matrix_setElement (Set [k], 0, 0, 0)) ;</a>
+<a name="124"><span class="lineNum">     124 </span>            :         OK (GrB_wait (Set [k], GrB_MATERIALIZE)) ;</a>
+<a name="125"><span class="lineNum">     125 </span>            :     }</a>
+<a name="126"><span class="lineNum">     126 </span>            :     #endif</a>
+<a name="127"><span class="lineNum">     127 </span>            :     #endif</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     // save the set of matrices in a single file</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     OK (LAGraph_SSaveSet (&quot;matrices.lagraph&quot;, Set, NFILES, &quot;many test matrices&quot;,</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :         msg)) ;</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     // load the matrices back in</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     GrB_Matrix *Set2 = NULL ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     GrB_Index nmatrices = 0 ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     char *collection = NULL ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :     int r =</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :         LAGraph_SLoadSet (&quot;matrices.lagraph&quot;, &amp;Set2, &amp;nmatrices, &amp;collection,</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :         msg) ;</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     printf (&quot;nmatrices %g r %d msg %s\n&quot;, (double) nmatrices, r, msg) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     TEST_CHECK (nmatrices == NFILES) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     TEST_CHECK (Set2 != NULL) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     TEST_CHECK (strcmp (collection, &quot;many test matrices&quot;) == 0) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :     // check the matrices</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">         52 :     for (int k = 0 ; k &lt; NFILES ; k++)</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :     {</a>
+<a name="148"><span class="lineNum">     148 </span>            :         // ensure the matrices Set [k] and Set2 [k] are the same</a>
+<a name="149"><span class="lineNum">     149 </span>            :         bool ok ;</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, Set [k], Set2 [k], msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         51 :         TEST_CHECK (ok) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :     }</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            :     // free all matrices</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          1 :     LAGraph_SFreeSet (&amp;Set, NFILES) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     LAGraph_SFreeSet (&amp;Set2, NFILES) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;collection, NULL) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;desc)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 : }</span></a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            : //****************************************************************************</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            : TEST_LIST = {</a>
+<a name="166"><span class="lineNum">     166 </span>            :     {&quot;SSaveSet&quot;, test_SSaveSet},</a>
+<a name="167"><span class="lineNum">     167 </span>            :     {NULL, NULL}</a>
+<a name="168"><span class="lineNum">     168 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SWrite.c.func-sort-c.html b/experimental/test/test_SWrite.c.func-sort-c.html
new file mode 100644
index 0000000000..1299e53473
--- /dev/null
+++ b/experimental/test/test_SWrite.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SWrite.c<span style="font-size: 80%;"> (<a href="test_SWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SWrite.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SWrite.c.gcov.html#92">test_SWrite</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SWrite.c.gcov.html#246">test_SWrite_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SWrite.c.func.html b/experimental/test/test_SWrite.c.func.html
new file mode 100644
index 0000000000..a46307de2b
--- /dev/null
+++ b/experimental/test/test_SWrite.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SWrite.c<span style="font-size: 80%;"> (<a href="test_SWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SWrite.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SWrite.c.gcov.html#92">test_SWrite</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SWrite.c.gcov.html#246">test_SWrite_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SWrite.c.gcov.html b/experimental/test/test_SWrite.c.gcov.html
new file mode 100644
index 0000000000..69b9bac749
--- /dev/null
+++ b/experimental/test/test_SWrite.c.gcov.html
@@ -0,0 +1,467 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SWrite.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SWrite.c<span style="font-size: 80%;"> (source / <a href="test_SWrite.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_SWrite.c: test cases for LAGraph_SWrite and SRead</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix B = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix *S = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : GrB_Type atype = NULL ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : char atypename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : #define NFILES 51</a>
+<a name="36"><span class="lineNum">      36 </span>            : const char *files [ ] =</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            :     &quot;A.mtx&quot;,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     &quot;cover.mtx&quot;,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     &quot;cover_structure.mtx&quot;,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     &quot;jagmesh7.mtx&quot;,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="50"><span class="lineNum">      50 </span>            :     &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="51"><span class="lineNum">      51 </span>            :     &quot;LFAT5.mtx&quot;,</a>
+<a name="52"><span class="lineNum">      52 </span>            :     &quot;msf1.mtx&quot;,</a>
+<a name="53"><span class="lineNum">      53 </span>            :     &quot;msf2.mtx&quot;,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     &quot;msf3.mtx&quot;,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     &quot;sample2.mtx&quot;,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     &quot;sample.mtx&quot;,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     &quot;sources_7.mtx&quot;,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     &quot;olm1000.mtx&quot;,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     &quot;bcsstk13.mtx&quot;,</a>
+<a name="60"><span class="lineNum">      60 </span>            :     &quot;cryg2500.mtx&quot;,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     &quot;tree-example.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     &quot;west0067.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     &quot;lp_afiro.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     &quot;lp_afiro_structure.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     &quot;karate.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     &quot;matrix_bool.mtx&quot;,</a>
+<a name="67"><span class="lineNum">      67 </span>            :     &quot;matrix_int8.mtx&quot;,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     &quot;matrix_int16.mtx&quot;,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     &quot;matrix_int32.mtx&quot;,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     &quot;matrix_int64.mtx&quot;,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     &quot;matrix_uint8.mtx&quot;,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     &quot;matrix_uint16.mtx&quot;,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     &quot;matrix_uint32.mtx&quot;,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     &quot;matrix_uint64.mtx&quot;,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     &quot;matrix_fp32.mtx&quot;,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     &quot;matrix_fp32_structure.mtx&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     &quot;matrix_fp64.mtx&quot;,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     &quot;west0067_jumbled.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     &quot;skew_fp32.mtx&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     &quot;skew_fp64.mtx&quot;,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     &quot;skew_int8.mtx&quot;,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     &quot;skew_int16.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     &quot;skew_int32.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     &quot;skew_int64.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     &quot;structure.mtx&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     &quot;full.mtx&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     &quot;full_symmetric.mtx&quot;,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     &quot;empty.mtx&quot;,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     &quot;&quot;,</a>
+<a name="90"><span class="lineNum">      90 </span>            : } ;</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            : //****************************************************************************</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 : void test_SWrite (void)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : {</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     GrB_Descriptor desc = NULL ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :     OK (GrB_Descriptor_new (&amp;desc)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     OK (GxB_set (desc, GxB_COMPRESSION, GxB_COMPRESSION_LZ4HC + 9)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     #endif</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         52 :     for (int k = 0 ; k &lt; NFILES ; k++)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :         // load the matrix as A</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         51 :         const char *aname = files [k] ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         51 :         if (strlen (aname) == 0) break;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         51 :         printf (&quot;\n================================== %d %s:\n&quot;, k, aname) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         51 :         TEST_CASE (aname) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         51 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         51 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         51 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         51 :         fclose (f) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :         // GxB_print (A, 3) ;</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            :         // get the name of the C typedef for the matrix</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_TypeName (atypename, A, msg)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         51 :         OK (LAGraph_TypeFromName (&amp;atype, atypename, msg)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        255 :         for (int scon = 1 ; scon &lt;= 8 ; scon = 2*scon)</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :         #endif</a>
+<a name="125"><span class="lineNum">     125 </span>            :         {</a>
+<a name="126"><span class="lineNum">     126 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="127"><span class="lineNum">     127 </span>            :             // for SuiteSparse only: test all sparsity formats</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">        204 :             OK (GxB_set (A, GxB_SPARSITY_CONTROL, scon)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :             #endif</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            :             // workaround for bug in v6.0.0 to v6.0.2:</a>
+<a name="132"><span class="lineNum">     132 </span>            :             // ensure the matrix is not iso</a>
+<a name="133"><span class="lineNum">     133 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="134"><span class="lineNum">     134 </span>            :             #if GxB_IMPLEMENTATION &lt; GxB_VERSION (6,0,3)</a>
+<a name="135"><span class="lineNum">     135 </span>            :             printf (&quot;workaround for bug in SS:GrB v6.0.2 (fixed in v6.0.3)\n&quot;) ;</a>
+<a name="136"><span class="lineNum">     136 </span>            :             OK (GrB_Matrix_setElement (A, 0, 0, 0)) ;</a>
+<a name="137"><span class="lineNum">     137 </span>            :             OK (GrB_wait (A, GrB_MATERIALIZE)) ;</a>
+<a name="138"><span class="lineNum">     138 </span>            :             #endif</a>
+<a name="139"><span class="lineNum">     139 </span>            :             #endif</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :             // open a temporary *.lagraph file to hold the matrix</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">        204 :             f = tmpfile ( ) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :             // snprintf (filename, LEN, &quot;%s.lagraph&quot;, aname) ;</a>
+<a name="144"><span class="lineNum">     144 </span>            :             // f = fopen (filename, &quot;w&quot;) ;</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        204 :             TEST_CHECK (f != NULL) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :             // serialize the matrix</a>
+<a name="148"><span class="lineNum">     148 </span>            :             // GxB_set (GxB_BURBLE, true) ;</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        204 :             void *blob = NULL ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        204 :             GrB_Index blob_size = 0 ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        204 :             if (k % 2 == 0)</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :             {</a>
+<a name="154"><span class="lineNum">     154 </span>            :                 // for SuiteSparse: try GxB for every other matrix</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        104 :                 OK (GxB_Matrix_serialize (&amp;blob, &amp;blob_size, A, desc)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :             }</a>
+<a name="157"><span class="lineNum">     157 </span>            :             else</a>
+<a name="158"><span class="lineNum">     158 </span>            :             #endif</a>
+<a name="159"><span class="lineNum">     159 </span>            :             {</a>
+<a name="160"><span class="lineNum">     160 </span>            :                 // try GrB version</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">        100 :                 OK (GrB_Matrix_serializeSize (&amp;blob_size, A)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        100 :                 GrB_Index blob_size_old = blob_size ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        100 :                 OK (LAGraph_Malloc ((void **) &amp;blob, blob_size,</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :                     sizeof (uint8_t), msg)) ;</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">        100 :                 TEST_CHECK (blob != NULL) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">        100 :                 OK (GrB_Matrix_serialize (blob, &amp;blob_size, A)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">        100 :                 OK (LAGraph_Realloc ((void **) &amp;blob, blob_size,</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :                     blob_size_old, sizeof (uint8_t), msg)) ;</a>
+<a name="169"><span class="lineNum">     169 </span>            :             }</a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :             // deserialize the matrix</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">        204 :             int rr = (GrB_Matrix_deserialize (&amp;B, atype, blob, blob_size)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :             // printf (&quot;A:\n&quot;) ; GxB_print (A, 2) ;</a>
+<a name="174"><span class="lineNum">     174 </span>            :             // printf (&quot;B:\n&quot;) ; GxB_print (B, 2) ;</a>
+<a name="175"><span class="lineNum">     175 </span>            :             // printf (&quot;rr: %d\n&quot;, rr) ;</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">        204 :             OK (rr) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :             // GxB_set (GxB_BURBLE, false) ;</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :             // ensure the matrices A and B are the same</a>
+<a name="180"><span class="lineNum">     180 </span>            :             // GxB_print (A,3) ;</a>
+<a name="181"><span class="lineNum">     181 </span>            :             // GxB_print (B,3) ;</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        204 :             bool ok = false ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">        204 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">        204 :             TEST_CHECK (ok) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">        204 :             OK (GrB_free (&amp;B)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :             // write the header for a single matrix</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">        204 :             OK (LAGraph_SWrite_HeaderStart (f, &quot;lagraph_test&quot;, msg)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">        204 :             OK (LAGraph_SWrite_HeaderItem (f, LAGraph_matrix_kind, &quot;A&quot;,</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :                 atypename, 0, blob_size, msg)) ;</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">        204 :             OK (LAGraph_SWrite_HeaderEnd (f, msg)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :             // write the binary blob to the file then free the blob</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">        204 :             OK (LAGraph_SWrite_Item (f, blob, blob_size, msg)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        204 :             LAGraph_Free (&amp;blob, NULL) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :             // open the file and load back the contents</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">        204 :             rewind (f) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :             // fclose (f) ;</a>
+<a name="200"><span class="lineNum">     200 </span>            :             // f = fopen (filename, &quot;r&quot;) ;</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">        204 :             char *collection = NULL ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">        204 :             LAGraph_Contents *Contents = NULL ;</span></a>
+<a name="204"><span class="lineNum">     204 </span>            :             GrB_Index ncontents ;</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">        204 :             OK (LAGraph_SRead (f, &amp;collection, &amp;Contents, &amp;ncontents, msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">        204 :             TEST_CHECK (collection != NULL) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">        204 :             if (collection == NULL) abort ( ) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :             // printf (&quot;collection %s\n&quot;, collection) ;</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        204 :             TEST_CHECK (strcmp (collection, &quot;lagraph_test&quot;) == 0) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">        204 :             TEST_CHECK (ncontents == 1) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">        204 :             fclose (f) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            :             // convert the contents to a matrix B</a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">        204 :             void *blob2 = Contents [0].blob ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">        204 :             size_t blob_size2 = Contents [0].blob_size ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :             // printf (&quot;blob_size2 %lu\n&quot;, blob_size2) ;</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">        204 :             TEST_CHECK (blob_size == blob_size2) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">        204 :             OK (GrB_Matrix_deserialize (&amp;B, atype, blob2, blob_size2)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :             // GxB_set (GxB_BURBLE, false) ;</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            :             // ensure the matrices A and B are the same</a>
+<a name="223"><span class="lineNum">     223 </span>            :             // GxB_print (A,3) ;</a>
+<a name="224"><span class="lineNum">     224 </span>            :             // GxB_print (B,3) ;</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">        204 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">        204 :             TEST_CHECK (ok) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">        204 :             OK (GrB_free (&amp;B)) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            :             // free the contents: todo make this a utility function</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">        204 :             LAGraph_Free ((void **) &amp;collection, NULL) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">        408 :             for (int i = 0 ; i &lt; ncontents ; i++)</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :             {</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">        204 :                 LAGraph_Contents *Item = &amp;(Contents [i]) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">        204 :                 LAGraph_Free ((void **) &amp;(Item-&gt;blob), NULL) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :             }</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        204 :             LAGraph_Free ((void **) &amp;Contents, NULL) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :         }</a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :     }</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;desc)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 : }</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            : //------------------------------------------------------------------------------</a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 : void test_SWrite_errors (void)</span></a>
+<a name="249"><span class="lineNum">     249 </span>            : {</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :     // create a simple test matrix</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          1 :     GrB_Index n = 5 ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_FP32, n, n)) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     OK (GrB_assign (A, NULL, NULL, 0, GrB_ALL, n, GrB_ALL, n, NULL)) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          1 :     OK (GrB_apply (A, NULL, NULL, GrB_ROWINDEX_INT64, A, 0, NULL)) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :     printf (&quot;\nTest matrix:\n&quot;) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (A, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span>            :     // serialize the matrix</a>
+<a name="261"><span class="lineNum">     261 </span>            :     bool ok ;</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :     void *blob = NULL ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     GrB_Index blob_size = 0 ;</span></a>
+<a name="264"><span class="lineNum">     264 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="265"><span class="lineNum">     265 </span>            :     {</a>
+<a name="266"><span class="lineNum">     266 </span>            :         // for SuiteSparse</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          1 :         OK (GxB_Matrix_serialize (&amp;blob, &amp;blob_size, A, NULL)) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :     }</a>
+<a name="269"><span class="lineNum">     269 </span>            :     #else</a>
+<a name="270"><span class="lineNum">     270 </span>            :     {</a>
+<a name="271"><span class="lineNum">     271 </span>            :         // use GrB version</a>
+<a name="272"><span class="lineNum">     272 </span>            :         OK (GrB_Matrix_serializeSize (&amp;blob_size, A)) ;</a>
+<a name="273"><span class="lineNum">     273 </span>            :         GrB_Index blob_size_old = blob_size ;</a>
+<a name="274"><span class="lineNum">     274 </span>            :         OK (LAGraph_Malloc ((void **) &amp;blob, blob_size, sizeof (uint8_t), msg));</a>
+<a name="275"><span class="lineNum">     275 </span>            :         TEST_CHECK (blob != NULL) ;</a>
+<a name="276"><span class="lineNum">     276 </span>            :         OK (GrB_Matrix_serialize (blob, &amp;blob_size, A)) ;</a>
+<a name="277"><span class="lineNum">     277 </span>            :         OK (LAGraph_Realloc ((void **) &amp;blob, blob_size,</a>
+<a name="278"><span class="lineNum">     278 </span>            :             blob_size_old, sizeof (uint8_t), msg)) ;</a>
+<a name="279"><span class="lineNum">     279 </span>            :     }</a>
+<a name="280"><span class="lineNum">     280 </span>            :     #endif</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 :     FILE *f = tmpfile ( )  ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">          1 :     int result = LAGraph_SWrite_HeaderItem (f, -2, &quot;A&quot;,</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :         &quot;float&quot;, 0, blob_size, msg) ;</a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     printf (&quot;result: %d [%s]\n&quot;, result, msg) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span>            : </a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     f = fopen (&quot;error.lagraph&quot;, &quot;wb&quot;) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_HeaderStart (f, NULL, msg) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_HeaderStart (NULL, &quot;stuff&quot;, msg) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          1 :     OK (LAGraph_SWrite_HeaderStart (f, &quot;lagraph_test&quot;, msg)) ;</span></a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_HeaderItem (NULL, LAGraph_matrix_kind, &quot;A&quot;,</span></a>
+<a name="303"><span class="lineNum">     303 </span>            :         &quot;float&quot;, 0, blob_size, msg) ;</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_HeaderItem (NULL, -2, &quot;A&quot;,</span></a>
+<a name="307"><span class="lineNum">     307 </span>            :         &quot;float&quot;, 0, blob_size, msg) ;</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          1 :     OK (LAGraph_SWrite_HeaderItem (f, LAGraph_matrix_kind, &quot;A&quot;,</span></a>
+<a name="311"><span class="lineNum">     311 </span>            :         &quot;float&quot;, 0, blob_size, msg)) ;</a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_HeaderEnd (NULL, msg) ;</span></a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span>            : </a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          1 :     OK (LAGraph_SWrite_HeaderEnd (f, msg)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span>            : </a>
+<a name="318"><span class="lineNum">     318 </span>            :     // write the binary blob to the file then free the blob</a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">          1 :     OK (LAGraph_SWrite_Item (f, blob, blob_size, msg)) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          1 :     LAGraph_Free (&amp;blob, NULL) ;</span></a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_Item (NULL, blob, blob_size, msg) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          1 :     result = LAGraph_SWrite_Item (f, NULL, blob_size, msg) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span>            :     // close the file and reopen it</a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          1 :     f = fopen (&quot;error.lagraph&quot;, &quot;r&quot;) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span>            : </a>
+<a name="333"><span class="lineNum">     333 </span>            :     // load in the matrix</a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          1 :     GrB_Matrix *Set = NULL ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">          1 :     GrB_Index nmatrices = 0 ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          1 :     char *collection = NULL ;</span></a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          1 :     result = LAGraph_SLoadSet (&quot;error.lagraph&quot;, NULL, &amp;nmatrices,</span></a>
+<a name="339"><span class="lineNum">     339 </span>            :         &amp;collection, msg) ;</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          1 :     result = LAGraph_SLoadSet (&quot;unknown.lagraph&quot;, &amp;Set, &amp;nmatrices,</span></a>
+<a name="343"><span class="lineNum">     343 </span>            :         &amp;collection, msg) ;</a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">          1 :     printf (&quot;\nresult %d, [%s]\n&quot;, result, msg) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1002) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span>            : </a>
+<a name="347"><span class="lineNum">     347 </span>            :     // mangled file</a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">          1 :     result = LAGraph_SLoadSet (LG_DATA_DIR &quot;garbage.lagraph&quot;,</span></a>
+<a name="349"><span class="lineNum">     349 </span>            :         &amp;Set, &amp;nmatrices, &amp;collection, msg) ;</a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">          1 :     printf (&quot;\nresult %d, [%s]\n&quot;, result, msg) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_IO_ERROR) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span>            :     // finally works</a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">          1 :     OK (LAGraph_SLoadSet (&quot;error.lagraph&quot;, &amp;Set, &amp;nmatrices, &amp;collection,</span></a>
+<a name="355"><span class="lineNum">     355 </span>            :         msg)) ;</a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">          1 :     TEST_CHECK (Set != NULL) ;</span></a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          1 :     TEST_CHECK (collection != NULL) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">          1 :     TEST_CHECK (nmatrices == 1) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span>            : </a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">          1 :     ok = false ;</span></a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;ok, A, Set [0], msg)) ;</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">          1 :     TEST_CHECK (ok) ;</span></a>
+<a name="363"><span class="lineNum">     363 </span>            : </a>
+<a name="364"><span class="lineNum">     364 </span>            :     // free everything</a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">          1 :     LAGraph_SFreeSet (&amp;Set, nmatrices) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;collection, NULL) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="368"><span class="lineNum">     368 </span>            : </a>
+<a name="369"><span class="lineNum">     369 </span>            :     // read garbage with LAGraph_SRead</a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">          1 :     f = fopen (LG_DATA_DIR &quot;garbage.lagraph&quot;, &quot;r&quot;) ;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          1 :     LAGraph_Contents *Contents = NULL ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          1 :     GrB_Index ncontents = 0 ;</span></a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">          1 :     result = LAGraph_SRead (f, &amp;collection, &amp;Contents, &amp;ncontents, msg) ;</span></a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          1 :     TEST_CHECK (result = -1001) ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          1 :     TEST_CHECK (collection == NULL) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          1 :     TEST_CHECK (Contents == NULL) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">          1 :     TEST_CHECK (ncontents == 0) ;</span></a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span>            : </a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          1 : }</span></a>
+<a name="384"><span class="lineNum">     384 </span>            : </a>
+<a name="385"><span class="lineNum">     385 </span>            : //****************************************************************************</a>
+<a name="386"><span class="lineNum">     386 </span>            : </a>
+<a name="387"><span class="lineNum">     387 </span>            : TEST_LIST = {</a>
+<a name="388"><span class="lineNum">     388 </span>            :     {&quot;SWrite&quot;, test_SWrite},</a>
+<a name="389"><span class="lineNum">     389 </span>            :     {&quot;SWrite_errors&quot;, test_SWrite_errors},</a>
+<a name="390"><span class="lineNum">     390 </span>            :     {NULL, NULL}</a>
+<a name="391"><span class="lineNum">     391 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SquareClustering.c.func-sort-c.html b/experimental/test/test_SquareClustering.c.func-sort-c.html
new file mode 100644
index 0000000000..6b0af3d0e2
--- /dev/null
+++ b/experimental/test/test_SquareClustering.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SquareClustering.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SquareClustering.c<span style="font-size: 80%;"> (<a href="test_SquareClustering.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SquareClustering.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SquareClustering.c.gcov.html#55">test_SquareClustering</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SquareClustering.c.gcov.html#49">is_close</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SquareClustering.c.func.html b/experimental/test/test_SquareClustering.c.func.html
new file mode 100644
index 0000000000..482963c8fb
--- /dev/null
+++ b/experimental/test/test_SquareClustering.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SquareClustering.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SquareClustering.c<span style="font-size: 80%;"> (<a href="test_SquareClustering.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SquareClustering.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SquareClustering.c.gcov.html#49">is_close</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SquareClustering.c.gcov.html#55">test_SquareClustering</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_SquareClustering.c.gcov.html b/experimental/test/test_SquareClustering.c.gcov.html
new file mode 100644
index 0000000000..c9e407b917
--- /dev/null
+++ b/experimental/test/test_SquareClustering.c.gcov.html
@@ -0,0 +1,183 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_SquareClustering.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_SquareClustering.c<span style="font-size: 80%;"> (source / <a href="test_SquareClustering.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/expirimental/test/test_SquareClustering.c: test cases for</a>
+<a name="3"><span class="lineNum">       3 </span>            : // square clustering</a>
+<a name="4"><span class="lineNum">       4 </span>            : // -----------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Erik Welch, NVIDIA</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // Data from NetworkX, test_lind_square_clustering: https://github.com/networkx\</a>
+<a name="29"><span class="lineNum">      29 </span>            : //      /networkx/blob/main/networkx/algorithms/tests/test_cluster.py</a>
+<a name="30"><span class="lineNum">      30 </span>            : GrB_Index rows[19] = {1, 1, 1, 1, 2, 2, 3, 3, 6, 7, 6, 7, 7, 6, 6, 2, 2, 3, 3} ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : GrB_Index cols[19] = {2, 3, 6, 7, 4, 5, 4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14,</a>
+<a name="32"><span class="lineNum">      32 </span>            :     15, 16} ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : int64_t vals[19] = {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : GrB_Index soln_indices[8] = {1, 2, 3, 4, 5, 6, 7, 8} ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : double soln_values[8] = {</a>
+<a name="37"><span class="lineNum">      37 </span>            :     3.0 / 43.0,</a>
+<a name="38"><span class="lineNum">      38 </span>            :     3.0 / 17.0,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     3.0 / 17.0,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     1.0 / 3.0,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     1.0 / 3.0,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     1.0 / 27.0,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     1.0 / 27.0,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     1.0 / 5.0</a>
+<a name="45"><span class="lineNum">      45 </span>            : };</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : // is_close: check whether two floats are close</a>
+<a name="49"><span class="lineNum">      49 </span>            : //------------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          8 : bool is_close (double a, double b)</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : {</a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          8 :     double abs_diff = fabs(a - b) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          8 :     return abs_diff &lt; 1e-6 ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : }</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 : void test_SquareClustering (void)</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : {</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     LAGraph_Graph G = NULL ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     GrB_Index n = 17;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_INT64, n, n)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     OK (GrB_Matrix_build_INT64 (A, rows, cols, vals, 19, GrB_PLUS_INT64)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     // Symmetrize A</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     OK (GrB_Matrix_eWiseAdd_BinaryOp(A, NULL, NULL, GrB_FIRST_INT64, A, A,</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :         GrB_DESC_T1));</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     // check for self-edges</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     bool sanitize = (G-&gt;nself_edges != 0) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     OK (LAGraph_SquareClustering (&amp;c, G, msg)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     GrB_Index nvals;</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :     OK (GrB_Vector_nvals(&amp;nvals, c)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     TEST_CHECK (nvals == 8) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            :     // OK (GrB_Vector_new(&amp;soln, GrB_FP64, n)) ;</a>
+<a name="87"><span class="lineNum">      87 </span>            :     // OK (GrB_Vector_build_FP64(soln, soln_indices, soln_values, 8,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     //     GrB_PLUS_FP64)) ;</a>
+<a name="89"><span class="lineNum">      89 </span>            :     double val;</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          9 :     for (GrB_Index i = 0 ; i &lt; 8 ; ++i)</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          8 :         GrB_Vector_extractElement_FP64(&amp;val, c, soln_indices[i]) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          8 :         TEST_CHECK (is_close(val, soln_values[i])) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :     }</a>
+<a name="95"><span class="lineNum">      95 </span>            :     // OK (GrB_free (&amp;soln)) ;</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;c)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 : };</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            : TEST_LIST = {</a>
+<a name="104"><span class="lineNum">     104 </span>            :     {&quot;SquareClustering&quot;, test_SquareClustering},</a>
+<a name="105"><span class="lineNum">     105 </span>            :     // {&quot;SquareClustering_errors&quot;, test_errors},</a>
+<a name="106"><span class="lineNum">     106 </span>            :     {NULL, NULL}</a>
+<a name="107"><span class="lineNum">     107 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_TriangleCentrality.c.func-sort-c.html b/experimental/test/test_TriangleCentrality.c.func-sort-c.html
new file mode 100644
index 0000000000..af8798cf6b
--- /dev/null
+++ b/experimental/test/test_TriangleCentrality.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_TriangleCentrality.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_TriangleCentrality.c<span style="font-size: 80%;"> (<a href="test_TriangleCentrality.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_TriangleCentrality.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCentrality.c.gcov.html#52">test_TriangleCentrality</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCentrality.c.gcov.html#130">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_TriangleCentrality.c.func.html b/experimental/test/test_TriangleCentrality.c.func.html
new file mode 100644
index 0000000000..8f7f4ceaad
--- /dev/null
+++ b/experimental/test/test_TriangleCentrality.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_TriangleCentrality.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_TriangleCentrality.c<span style="font-size: 80%;"> (<a href="test_TriangleCentrality.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_TriangleCentrality.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCentrality.c.gcov.html#52">test_TriangleCentrality</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCentrality.c.gcov.html#130">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
+</body>
+</html>
diff --git a/experimental/test/test_TriangleCentrality.c.gcov.html b/experimental/test/test_TriangleCentrality.c.gcov.html
new file mode 100644
index 0000000000..15d60a12cf
--- /dev/null
+++ b/experimental/test/test_TriangleCentrality.c.gcov.html
@@ -0,0 +1,265 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_TriangleCentrality.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_TriangleCentrality.c<span style="font-size: 80%;"> (source / <a href="test_TriangleCentrality.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_TriangleCentrality.c: test cases for triangle</a>
+<a name="3"><span class="lineNum">       3 </span>            : // centrality</a>
+<a name="4"><span class="lineNum">       4 </span>            : //------------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix C = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : typedef struct</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            :     uint64_t ntriangles ;</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const char *name ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : matrix_info ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : const matrix_info files [ ] =</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            :     {     11, &quot;A.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {   2016, &quot;jagmesh7.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     { 342300, &quot;bcsstk13.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     {     45, &quot;karate.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     {      6, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {      4, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {      4, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     {      4, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {      5, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { 0, &quot;&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            : } ;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //****************************************************************************</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 : void test_TriangleCentrality (void)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          9 :     {</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :         // load the matrix as A</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         10 :         const char *aname = files [k].name ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         10 :         uint64_t ntriangles = files [k].ntriangles ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          9 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :         // C = spones (A), in FP64, required for methods 1 and 1.5</a>
+<a name="73"><span class="lineNum">      73 </span>            :         GrB_Index n ;</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          9 :         OK (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          9 :         OK (GrB_Matrix_new (&amp;C, GrB_FP64, n, n)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          9 :         OK (GrB_assign (C, A, NULL, (double) 1, GrB_ALL, n, GrB_ALL, n,</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :             GrB_DESC_S)) ;</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          9 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          9 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          9 :         OK (fclose (f)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :         // construct an undirected graph G with adjacency matrix C</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;C, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          9 :         TEST_CHECK (C == NULL) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :         // check for self-edges</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          9 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          9 :         if (G-&gt;nself_edges != 0)</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :         {</a>
+<a name="91"><span class="lineNum">      91 </span>            :             // remove self-edges</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          2 :             printf (&quot;graph has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          2 :             OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          2 :             printf (&quot;now has %g self edges\n&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          2 :             TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :         }</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            :         uint64_t ntri ;</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          9 :         GrB_Vector c = NULL ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         45 :         for (int method = 0 ; method &lt;= 3 ; method++)</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         36 :             printf (&quot;\nMethod: %d\n&quot;, method) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :             // compute the triangle centrality</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         36 :             OK (LAGraph_VertexCentrality_Triangle (&amp;c, &amp;ntri, method, G, msg)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         36 :             printf (&quot;# of triangles: %g\n&quot;, (double) ntri) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         36 :             TEST_CHECK (ntri == ntriangles) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :             LAGraph_PrintLevel</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         36 :                 pr = (n &lt;= 100) ? LAGraph_COMPLETE : LAGraph_SHORT ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         36 :             printf (&quot;\ncentrality:\n&quot;) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         36 :             OK (LAGraph_Vector_Print (c, pr, stdout, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         36 :             OK (GrB_free (&amp;c)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :         }</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :         // convert to directed with symmetric structure and recompute</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          9 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          9 :         OK (LAGraph_VertexCentrality_Triangle (&amp;c, &amp;ntri, 0, G, msg)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          9 :         TEST_CHECK (ntri == ntriangles) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          9 :         GrB_free (&amp;c) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 : }</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            : //------------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : // test_errors</a>
+<a name="130"><span class="lineNum">     130 </span>            : //------------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : {</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :     uint64_t ntri ;</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :     // c is NULL</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     int result = LAGraph_VertexCentrality_Triangle (NULL, &amp;ntri, 3, G, msg) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // G is invalid</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     result = LAGraph_VertexCentrality_Triangle (&amp;c, &amp;ntri, 3, NULL, msg) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span>            :     // G may have self edges</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     result = LAGraph_VertexCentrality_Triangle (&amp;c, &amp;ntri, 3, G, msg) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1004) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            :     // G is undirected</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     result = LAGraph_VertexCentrality_Triangle (&amp;c, &amp;ntri, 3, G, msg) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d %s\n&quot;, result, msg) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1005) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 : }</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            : //****************************************************************************</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            : TEST_LIST = {</a>
+<a name="186"><span class="lineNum">     186 </span>            :     {&quot;TriangleCentrality&quot;, test_TriangleCentrality},</a>
+<a name="187"><span class="lineNum">     187 </span>            :     {&quot;TriangleCentrality_errors&quot;, test_errors},</a>
+<a name="188"><span class="lineNum">     188 </span>            :     {NULL, NULL}</a>
+<a name="189"><span class="lineNum">     189 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_cdlp.c.func-sort-c.html b/experimental/test/test_cdlp.c.func-sort-c.html
new file mode 100644
index 0000000000..8c8cfeb7b4
--- /dev/null
+++ b/experimental/test/test_cdlp.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_cdlp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_cdlp.c<span style="font-size: 80%;"> (<a href="test_cdlp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_cdlp.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_cdlp.c.gcov.html#132">test_cdlp</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_cdlp.c.gcov.html#200">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_cdlp.c.func.html b/experimental/test/test_cdlp.c.func.html
new file mode 100644
index 0000000000..62a3c5105a
--- /dev/null
+++ b/experimental/test/test_cdlp.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_cdlp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_cdlp.c<span style="font-size: 80%;"> (<a href="test_cdlp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_cdlp.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_cdlp.c.gcov.html#132">test_cdlp</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_cdlp.c.gcov.html#200">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_cdlp.c.gcov.html b/experimental/test/test_cdlp.c.gcov.html
new file mode 100644
index 0000000000..e0e79de96d
--- /dev/null
+++ b/experimental/test/test_cdlp.c.gcov.html
@@ -0,0 +1,321 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_cdlp.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_cdlp.c<span style="font-size: 80%;"> (source / <a href="test_cdlp.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntry">61</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_cdlp.c: test cases for CDLP</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // todo: write a simple cdlp method, as LG_check_cdlp, and compare its results</a>
+<a name="19"><span class="lineNum">      19 </span>            : // with LAGraph_cdlp</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : typedef struct</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     bool symmetric ;</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const char *name ;</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : matrix_info ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : double cdlp_jagmesh7 [1138] = {</a>
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+<a name="105"><span class="lineNum">     105 </span>            :     990, 990, 994, 990, 996, 996, 996, 927, 954, 990, 990, 990, 954, 954, 996,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     954, 996, 954, 927, 1011, 1011, 1011, 1011, 1011, 1011, 1017, 1017, 1017,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     969, 927, 1011, 1011, 1011, 969, 969, 1017, 969, 1017, 969, 994, 1032,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     1032, 1032, 1011, 927, 996, 996, 996, 1011, 996, 1032, 1011, 1032, 1011,</a>
+<a name="109"><span class="lineNum">     109 </span>            :     994, 994, 1047, 1047, 1047, 1047, 1047, 1053, 1053, 1053, 1011, 1032, 1032,</a>
+<a name="110"><span class="lineNum">     110 </span>            :     1032, 994, 1053, 1032, 1047, 1053, 1047, 1047, 994, 1068, 1068, 1068, 1068,</a>
+<a name="111"><span class="lineNum">     111 </span>            :     1068, 1068, 1074, 1074, 1074, 1047, 994, 1068, 1068, 1068, 1047, 1047,</a>
+<a name="112"><span class="lineNum">     112 </span>            :     1074, 1047, 1074, 1047, 1068, 1089, 1089, 729, 729, 729, 1094, 1094, 1094,</a>
+<a name="113"><span class="lineNum">     113 </span>            :     1047, 1074, 1089, 1089, 729, 1074, 1074, 1094, 1074, 1094, 1074, 1068,</a>
+<a name="114"><span class="lineNum">     114 </span>            :     1109, 1109, 771, 771, 1068, 1109, 1109, 771, 1089, 778, 778, 1089, 778,</a>
+<a name="115"><span class="lineNum">     115 </span>            :     729, 692, 1124, 1124, 1047, 1047, 729, 736, 736, 692, 1094, 736, 1124,</a>
+<a name="116"><span class="lineNum">     116 </span>            :     1094, 1124, 1047 } ;</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            : const matrix_info files [ ] =</a>
+<a name="119"><span class="lineNum">     119 </span>            : {</a>
+<a name="120"><span class="lineNum">     120 </span>            :     { 1, &quot;A.mtx&quot; },</a>
+<a name="121"><span class="lineNum">     121 </span>            :     { 1, &quot;jagmesh7.mtx&quot; },</a>
+<a name="122"><span class="lineNum">     122 </span>            :     { 0, &quot;west0067.mtx&quot; }, // unsymmetric</a>
+<a name="123"><span class="lineNum">     123 </span>            :     { 1, &quot;bcsstk13.mtx&quot; },</a>
+<a name="124"><span class="lineNum">     124 </span>            :     { 1, &quot;karate.mtx&quot; },</a>
+<a name="125"><span class="lineNum">     125 </span>            :     { 1, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="126"><span class="lineNum">     126 </span>            :     { 1, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="127"><span class="lineNum">     127 </span>            :     { 1, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="128"><span class="lineNum">     128 </span>            :     { 1, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="129"><span class="lineNum">     129 </span>            :     { 1, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="130"><span class="lineNum">     130 </span>            :     { 0, &quot;&quot; },</a>
+<a name="131"><span class="lineNum">     131 </span>            : } ;</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            : //****************************************************************************</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 : void test_cdlp (void)</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : {</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         10 :     {</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :         // load the matrix as A</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         11 :         const char *aname = files [k].name ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         11 :         bool symmetric = files [k].symmetric ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         11 :         if (strlen (aname) == 0) break;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         10 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">         10 :         TEST_CASE (aname) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         10 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         10 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         10 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         10 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span>            :         // construct a directed graph G with adjacency matrix A</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         10 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         10 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :         // check for self-edges</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         10 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         10 :         bool sanitize = (G-&gt;nself_edges != 0) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         10 :         GrB_Vector c = NULL ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :         double t [2] ;</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            :         // compute the communities with LAGraph_cdlp</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         10 :         OK (LAGraph_cdlp (&amp;c, G-&gt;A, symmetric, sanitize, 100, t, msg)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :         GrB_Index n ;</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         10 :         OK (GrB_Vector_size (&amp;n, c)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         10 :         LAGraph_PrintLevel pr = (n &lt;= 100) ? LAGraph_COMPLETE : LAGraph_SHORT ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :         // check result c for jagmesh7</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         10 :         if (strcmp (aname, &quot;jagmesh7.mtx&quot;) == 0)</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :         {</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :             GrB_Vector cgood = NULL ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :             OK (GrB_Vector_new (&amp;cgood, GrB_UINT64, n)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">       1139 :             for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :             {</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">       1138 :                 OK (GrB_Vector_setElement (cgood, cdlp_jagmesh7 [k], k)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :             }</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :             OK (GrB_wait (cgood, GrB_MATERIALIZE)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :             printf (&quot;\ncdlp (known result):\n&quot;) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :             OK (LAGraph_Vector_Print (cgood, pr, stdout, msg)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :             bool ok = false ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          1 :             OK (LAGraph_Vector_IsEqual (&amp;ok, c, cgood, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :             TEST_CHECK (ok) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;cgood)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :         }</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         10 :         printf (&quot;\ncdlp:\n&quot;) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         10 :         OK (LAGraph_Vector_Print (c, pr, stdout, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         10 :         OK (GrB_free (&amp;c)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         10 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :     }</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 : }</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            : //------------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            : // test_errors</a>
+<a name="200"><span class="lineNum">     200 </span>            : //------------------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="203"><span class="lineNum">     203 </span>            : {</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :     double t [2] ;</a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span>            :     // c is NULL</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          1 :     int result = LAGraph_cdlp (NULL, G-&gt;A, true, false, 100, t, msg) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d\n&quot;, result) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="227"><span class="lineNum">     227 </span>            :     // G-&gt;A is held by column</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          1 :     OK (GxB_set (G-&gt;A, GxB_FORMAT, GxB_BY_COL)) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :     result = LAGraph_cdlp (&amp;c, G-&gt;A, true, true, 100, t, msg) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d\n&quot;, result) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :     #endif</a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 : }</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            : //****************************************************************************</a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            : TEST_LIST = {</a>
+<a name="242"><span class="lineNum">     242 </span>            :     {&quot;cdlp&quot;, test_cdlp},</a>
+<a name="243"><span class="lineNum">     243 </span>            :     {&quot;cdlp_errors&quot;, test_errors},</a>
+<a name="244"><span class="lineNum">     244 </span>            :     {NULL, NULL}</a>
+<a name="245"><span class="lineNum">     245 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_dnn.c.func-sort-c.html b/experimental/test/test_dnn.c.func-sort-c.html
new file mode 100644
index 0000000000..acce8fa953
--- /dev/null
+++ b/experimental/test/test_dnn.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_dnn.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_dnn.c<span style="font-size: 80%;"> (<a href="test_dnn.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_dnn.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#29">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#39">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#57">test_dnn</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
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+
+</body>
+</html>
diff --git a/experimental/test/test_dnn.c.func.html b/experimental/test/test_dnn.c.func.html
new file mode 100644
index 0000000000..0327ad8967
--- /dev/null
+++ b/experimental/test/test_dnn.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_dnn.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_dnn.c<span style="font-size: 80%;"> (<a href="test_dnn.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_dnn.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#29">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#39">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_dnn.c.gcov.html#57">test_dnn</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_dnn.c.gcov.html b/experimental/test/test_dnn.c.gcov.html
new file mode 100644
index 0000000000..2b343c77ac
--- /dev/null
+++ b/experimental/test/test_dnn.c.gcov.html
@@ -0,0 +1,278 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_dnn.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_dnn.c<span style="font-size: 80%;"> (source / <a href="test_dnn.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntry">73</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_dnn: test a small sparse deep neural network</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_Xtest.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // setup: start a test</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : {</a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Init (msg)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 : }</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : // teardown: finalize a test</a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     OK (LAGraph_Random_Finalize (msg)) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 : }</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : // test_dnn: test a small DNN from https://graphchallenge.mit.edu/data-sets</a>
+<a name="49"><span class="lineNum">      49 </span>            : //------------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : // This test uses the smallest sparse deep neural network at</a>
+<a name="52"><span class="lineNum">      52 </span>            : // https://graphchallenge.mit.edu/data-sets .  The original problem has 120</a>
+<a name="53"><span class="lineNum">      53 </span>            : // layers, but the categories converge to the correct result in the first 27</a>
+<a name="54"><span class="lineNum">      54 </span>            : // layers, so only the first 32 layers are included in this test.</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : // The original problem also hase 60,000 features (images) but in this</a>
+<a name="57"><span class="lineNum">      57 </span>            : // truncated problem, only the first 2000 features are used.</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 : void test_dnn (void)</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span>            :     GrB_Info info ;</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            :     #define NLAYERS 30</a>
+<a name="65"><span class="lineNum">      65 </span>            :     #define NLAYERS_ORIG 120</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     int nlayers = NLAYERS ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     float bias = -0.3 ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     int nneurons = 1024 ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     int nfeatures = 60000 ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     int nfeatures_subset = 1200 ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     printf (&quot;\nSparse deep neural network from&quot;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :         &quot; https://graphchallenge.mit.edu/data-sets\n&quot;</a>
+<a name="74"><span class="lineNum">      74 </span>            :         &quot;# neurons: %d, bias: %g\n&quot;</a>
+<a name="75"><span class="lineNum">      75 </span>            :         &quot;original # of layers: %d, layers used here: %d\n&quot;</a>
+<a name="76"><span class="lineNum">      76 </span>            :         &quot;original # of features: %d, features used here: %d\n&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :         nneurons, bias, NLAYERS_ORIG, nlayers, nfeatures, nfeatures_subset) ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     GrB_Matrix Y0 = NULL, Y = NULL, W [NLAYERS], Bias [NLAYERS], T = NULL ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     GrB_Vector TrueCategories = NULL, Categories = NULL, C = NULL ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         31 :     for (int layer = 0 ; layer &lt; nlayers ; layer++)</span></a>
+<a name="82"><span class="lineNum">      82 </span>            :     {</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">         30 :         W [layer] = NULL ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         30 :         Bias [layer] = NULL ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :     }</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     #define LEN 512</a>
+<a name="88"><span class="lineNum">      88 </span>            :     char filename [LEN] ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // read in the problem</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :         &quot;/dnn_data/sparse-images-%d_subset.mtx&quot;, nneurons) ;</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;Y0, f, msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     char type_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (type_name, Y0, msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (type_name, &quot;float&quot;)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 :     OK (GrB_wait (Y0, GrB_MATERIALIZE)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         31 :     for (int layer = 0 ; layer &lt; nlayers ; layer++)</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :     {</a>
+<a name="107"><span class="lineNum">     107 </span>            :         // read the neuron layer: W [layer]</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         30 :         snprintf (filename, LEN, LG_DATA_DIR &quot;/dnn_data/n%d-l%d.mtx&quot;,</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :             nneurons, layer+1) ;</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         30 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         30 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         30 :         OK (LAGraph_MMRead (&amp;(W [layer]), f, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         30 :         fclose (f) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         30 :         OK (LAGraph_Matrix_TypeName (type_name, W [layer], msg)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         30 :         TEST_CHECK (MATCHNAME (type_name, &quot;float&quot;)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :         // construct the bias matrix: Bias [layer].  Note that all Bias</a>
+<a name="118"><span class="lineNum">     118 </span>            :         // matrices are the same for all layers, and all diagonal</a>
+<a name="119"><span class="lineNum">     119 </span>            :         // entries are also the same.</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         30 :         OK (GrB_Matrix_new (&amp;(Bias [layer]), GrB_FP32, nneurons, nneurons)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">      30750 :         for (int i = 0 ; i &lt; nneurons ; i++)</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         {</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">      30720 :             OK (GrB_Matrix_setElement (Bias [layer], bias, i, i)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :         }</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         30 :         OK (GrB_wait (Bias [layer], GrB_MATERIALIZE)) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :     }</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            :     // read T as a boolean nfeatures_subset-by-1 matrix</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :         &quot;/dnn_data/neuron%d-l%d-categories_subset.mtx&quot;,</a>
+<a name="131"><span class="lineNum">     131 </span>            :         nneurons, NLAYERS_ORIG) ;</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;T, f, msg)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (type_name, T, msg)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (type_name, &quot;bool&quot;)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :     // TrueCategories = T, as a boolean nfeatures-by-1 vector</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     printf (&quot;\nTrue categories:\n&quot;) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;TrueCategories, GrB_BOOL, nfeatures_subset)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     OK (GrB_Col_extract (TrueCategories, NULL, NULL, T, GrB_ALL,</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :         nfeatures_subset, 0, NULL)) ;</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (TrueCategories, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     GrB_free (&amp;T) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            :     // solve the problem</a>
+<a name="147"><span class="lineNum">     147 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     OK (LAGraph_dnn (&amp;Y, W, Bias, nlayers, Y0)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="152"><span class="lineNum">     152 </span>            :     // check the result</a>
+<a name="153"><span class="lineNum">     153 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            :     // C = sum (Y)</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;C, GrB_FP32, nfeatures_subset)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     OK (GrB_reduce (C, NULL, NULL, GrB_PLUS_FP32, Y, NULL));</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :     // Categories = pattern of C</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;Categories, GrB_BOOL, nfeatures_subset)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     OK (GrB_apply (Categories, NULL, NULL, GrB_ONEB_BOOL, C, (bool) true,</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :         NULL)) ;</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            :     // check if Categories and TrueCategories are the same</a>
+<a name="164"><span class="lineNum">     164 </span>            :     bool isequal ;</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     printf (&quot;\nComputed categories:\n&quot;) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (Categories, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqual (&amp;isequal, TrueCategories, Categories, NULL)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     TEST_CHECK (isequal) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="171"><span class="lineNum">     171 </span>            :     // free everything and finish the test</a>
+<a name="172"><span class="lineNum">     172 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     GrB_free (&amp;TrueCategories) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     GrB_free (&amp;Categories) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     GrB_free (&amp;C) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     GrB_free (&amp;Y) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     GrB_free (&amp;Y0) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         31 :     for (int layer = 0 ; layer &lt; nlayers ; layer++)</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :     {</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         30 :         GrB_free (&amp; (W [layer])) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         30 :         GrB_free (&amp; (Bias [layer])) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :     }</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="186"><span class="lineNum">     186 </span>            :     // error tests</a>
+<a name="187"><span class="lineNum">     187 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          1 :     int result = LAGraph_dnn (NULL, NULL, NULL, nlayers, NULL) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 : }</span></a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            : //------------------------------------------------------------------------------</a>
+<a name="196"><span class="lineNum">     196 </span>            : // TEST_LIST: all tests to run</a>
+<a name="197"><span class="lineNum">     197 </span>            : //------------------------------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            : TEST_LIST = {</a>
+<a name="200"><span class="lineNum">     200 </span>            :     {&quot;DNN&quot;, test_dnn},</a>
+<a name="201"><span class="lineNum">     201 </span>            :     {NULL, NULL}</a>
+<a name="202"><span class="lineNum">     202 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_lcc.c.func-sort-c.html b/experimental/test/test_lcc.c.func-sort-c.html
new file mode 100644
index 0000000000..aa43088087
--- /dev/null
+++ b/experimental/test/test_lcc.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_lcc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_lcc.c<span style="font-size: 80%;"> (<a href="test_lcc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_lcc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_lcc.c.gcov.html#203">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_lcc.c.gcov.html#125">test_lcc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_lcc.c.func.html b/experimental/test/test_lcc.c.func.html
new file mode 100644
index 0000000000..416dcb2415
--- /dev/null
+++ b/experimental/test/test_lcc.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_lcc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_lcc.c<span style="font-size: 80%;"> (<a href="test_lcc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_lcc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_lcc.c.gcov.html#203">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_lcc.c.gcov.html#125">test_lcc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_lcc.c.gcov.html b/experimental/test/test_lcc.c.gcov.html
new file mode 100644
index 0000000000..14213b1c4d
--- /dev/null
+++ b/experimental/test/test_lcc.c.gcov.html
@@ -0,0 +1,326 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_lcc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_lcc.c<span style="font-size: 80%;"> (source / <a href="test_lcc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntry">64</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_lcc.c: tests for Local Clustering Coefficient</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // todo: write a simple lcc method, as LG_check_lcc, and compare its results</a>
+<a name="19"><span class="lineNum">      19 </span>            : // with LAGraph_lcc</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : typedef struct</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     bool symmetric ;</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const char *name ;</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : matrix_info ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : // this known solution is listed here in lower precision than double allows</a>
+<a name="41"><span class="lineNum">      41 </span>            : double lcc_west0067 [67] = {</a>
+<a name="42"><span class="lineNum">      42 </span>            :     0.0909091,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     0.0238095,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     0.0714286,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     0.0238095,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     0.125,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     0.119048,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     0.178571,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     0.133333,</a>
+<a name="50"><span class="lineNum">      50 </span>            :     0.0952381,</a>
+<a name="51"><span class="lineNum">      51 </span>            :     0.0833333,</a>
+<a name="52"><span class="lineNum">      52 </span>            :     0.0666667,</a>
+<a name="53"><span class="lineNum">      53 </span>            :     0.1,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     0.0892857,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     0.0714286,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     0.138889,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     0.0555556,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     0.0694444,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     0.0555556,</a>
+<a name="60"><span class="lineNum">      60 </span>            :     0.0714286,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     0.0769231,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     0.0333333,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     0.0666667,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     0.0666667,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     0.0333333,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     0.0694444,</a>
+<a name="67"><span class="lineNum">      67 </span>            :     0.0444444,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     0.0555556,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     0.0777778,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     0.0333333,</a>
+<a name="71"><span class="lineNum">      71 </span>            :             0,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     0.0904762,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     0.0535714,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     0.0714286,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     0.107143,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     0.0892857,</a>
+<a name="77"><span class="lineNum">      77 </span>            :             0,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     0.0681818,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     0.0357143,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     0.0178571,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     0.0666667,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     0.0555556,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     0.0694444,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     0.0666667,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     0.111111,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     0.0444444,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     0.142857,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     0.166667,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     0.2,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     0.0448718,</a>
+<a name="91"><span class="lineNum">      91 </span>            :     0.166667,</a>
+<a name="92"><span class="lineNum">      92 </span>            :     0.166667,</a>
+<a name="93"><span class="lineNum">      93 </span>            :     0.119048,</a>
+<a name="94"><span class="lineNum">      94 </span>            :     0.166667,</a>
+<a name="95"><span class="lineNum">      95 </span>            :     0.190476,</a>
+<a name="96"><span class="lineNum">      96 </span>            :     0.104167,</a>
+<a name="97"><span class="lineNum">      97 </span>            :     0.0333333,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     0.0444444,</a>
+<a name="99"><span class="lineNum">      99 </span>            :     0.0444444,</a>
+<a name="100"><span class="lineNum">     100 </span>            :     0.0777778,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     0.0416667,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     0.0222222,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     0.0972222,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     0.142857,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     0.0416667,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     0.0555556,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     0.196429,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     0.155556</a>
+<a name="109"><span class="lineNum">     109 </span>            : } ;</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            : const matrix_info files [ ] =</a>
+<a name="112"><span class="lineNum">     112 </span>            : {</a>
+<a name="113"><span class="lineNum">     113 </span>            :     { 1, &quot;A.mtx&quot; },</a>
+<a name="114"><span class="lineNum">     114 </span>            :     { 1, &quot;jagmesh7.mtx&quot; },</a>
+<a name="115"><span class="lineNum">     115 </span>            :     { 0, &quot;west0067.mtx&quot; }, // unsymmetric</a>
+<a name="116"><span class="lineNum">     116 </span>            :     { 1, &quot;bcsstk13.mtx&quot; },</a>
+<a name="117"><span class="lineNum">     117 </span>            :     { 1, &quot;karate.mtx&quot; },</a>
+<a name="118"><span class="lineNum">     118 </span>            :     { 1, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="119"><span class="lineNum">     119 </span>            :     { 1, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="120"><span class="lineNum">     120 </span>            :     { 1, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="121"><span class="lineNum">     121 </span>            :     { 1, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="122"><span class="lineNum">     122 </span>            :     { 1, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="123"><span class="lineNum">     123 </span>            :     { 0, &quot;&quot; },</a>
+<a name="124"><span class="lineNum">     124 </span>            : } ;</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            : //****************************************************************************</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 : void test_lcc (void)</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : {</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         10 :     {</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span>            :         // load the matrix as A</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         11 :         const char *aname = files [k].name ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         11 :         bool symmetric = files [k].symmetric ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         11 :         if (strlen (aname) == 0) break;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         10 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         10 :         TEST_CASE (aname) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         10 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         10 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         10 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         10 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :         // construct a directed graph G with adjacency matrix A</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         10 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         10 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :         // check for self-edges</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         10 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         10 :         bool sanitize = (G-&gt;nself_edges != 0) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         10 :         GrB_Vector c = NULL ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :         double t [2] ;</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            :         // compute the local clustering coefficient</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         10 :         OK (LAGraph_lcc (&amp;c, G-&gt;A, symmetric, sanitize, t, msg)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            :         GrB_Index n ;</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         10 :         OK (GrB_Vector_size (&amp;n, c)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         10 :         LAGraph_PrintLevel pr = (n &lt;= 100) ? LAGraph_COMPLETE : LAGraph_SHORT ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            :         // check result c for west0067</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         10 :         if (strcmp (aname, &quot;west0067.mtx&quot;) == 0)</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :         {</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :             GrB_Vector cgood = NULL ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :             OK (GrB_Vector_new (&amp;cgood, GrB_FP64, n)) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         68 :             for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :             {</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         67 :                 OK (GrB_Vector_setElement (cgood, lcc_west0067 [k], k)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :             }</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :             OK (GrB_wait (cgood, GrB_MATERIALIZE)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :             printf (&quot;\nlcc (known result, but with float precision):\n&quot;) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :             OK (LAGraph_Vector_Print (cgood, pr, stdout, msg)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :             // cgood = abs (cgood - c)</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :             OK (GrB_eWiseAdd (cgood, NULL, NULL, GrB_MINUS_FP64, cgood, c,</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :                 NULL)) ;</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :             OK (GrB_apply (cgood, NULL, NULL, GrB_ABS_FP64, cgood, NULL)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :             double err = 0 ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :             // err = max (cgood)</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :             OK (GrB_reduce (&amp;err, NULL, GrB_MAX_MONOID_FP64, cgood, NULL)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          1 :             printf (&quot;err: %g\n&quot;, err) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :             TEST_CHECK (err &lt; 1e-6) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;cgood)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :         }</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         10 :         printf (&quot;\nlcc:\n&quot;) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         10 :         OK (LAGraph_Vector_Print (c, pr, stdout, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         10 :         OK (GrB_free (&amp;c)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         10 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :     }</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :     #else</a>
+<a name="196"><span class="lineNum">     196 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="197"><span class="lineNum">     197 </span>            :     #endif</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 : }</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span>            : //------------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            : // test_errors</a>
+<a name="203"><span class="lineNum">     203 </span>            : //------------------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : {</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :     // construct an undirected graph G with adjacency matrix A</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :     double t [2] ;</a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            :     // c is NULL</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 :     int result = LAGraph_lcc (NULL, G-&gt;A, true, false, t, msg) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d\n&quot;, result) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span>            :     // G-&gt;A is held by column</a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     OK (GxB_set (G-&gt;A, GxB_FORMAT, GxB_BY_COL)) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :     result = LAGraph_lcc (&amp;c, G-&gt;A, true, true, t, msg) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d\n&quot;, result) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     TEST_CHECK (c == NULL) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :     #else</a>
+<a name="239"><span class="lineNum">     239 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="240"><span class="lineNum">     240 </span>            :     #endif</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 : }</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            : //****************************************************************************</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            : TEST_LIST = {</a>
+<a name="247"><span class="lineNum">     247 </span>            :     {&quot;lcc&quot;, test_lcc},</a>
+<a name="248"><span class="lineNum">     248 </span>            :     {&quot;lcc_errors&quot;, test_errors},</a>
+<a name="249"><span class="lineNum">     249 </span>            :     {NULL, NULL}</a>
+<a name="250"><span class="lineNum">     250 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_msf.c.func-sort-c.html b/experimental/test/test_msf.c.func-sort-c.html
new file mode 100644
index 0000000000..19ccb84290
--- /dev/null
+++ b/experimental/test/test_msf.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_msf.c - functions</title>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_msf.c<span style="font-size: 80%;"> (<a href="test_msf.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_msf.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_msf.c.gcov.html#133">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_msf.c.gcov.html#56">test_msf</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
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+
+</body>
+</html>
diff --git a/experimental/test/test_msf.c.func.html b/experimental/test/test_msf.c.func.html
new file mode 100644
index 0000000000..59cf956fd8
--- /dev/null
+++ b/experimental/test/test_msf.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_msf.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_msf.c<span style="font-size: 80%;"> (<a href="test_msf.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_msf.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_msf.c.gcov.html#133">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_msf.c.gcov.html#56">test_msf</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_msf.c.gcov.html b/experimental/test/test_msf.c.gcov.html
new file mode 100644
index 0000000000..de69718ad4
--- /dev/null
+++ b/experimental/test/test_msf.c.gcov.html
@@ -0,0 +1,238 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_msf.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_msf.c<span style="font-size: 80%;"> (source / <a href="test_msf.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntry">58</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_msf.c: test cases for Min Spanning Forest</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // todo: write a simple msf method, as LG_check_msf, and compare its results</a>
+<a name="19"><span class="lineNum">      19 </span>            : // with LAGraph_msf</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : GrB_Matrix S = NULL ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : GrB_Matrix C = NULL ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : #define LEN 512</a>
+<a name="33"><span class="lineNum">      33 </span>            : char filename [LEN+1] ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : typedef struct</a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span>            :     bool symmetric ;</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const char *name ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : }</a>
+<a name="40"><span class="lineNum">      40 </span>            : matrix_info ;</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : const matrix_info files [ ] =</a>
+<a name="43"><span class="lineNum">      43 </span>            : {</a>
+<a name="44"><span class="lineNum">      44 </span>            :     { 1, &quot;A.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     { 1, &quot;jagmesh7.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     { 0, &quot;west0067.mtx&quot; }, // unsymmetric</a>
+<a name="47"><span class="lineNum">      47 </span>            :     { 1, &quot;bcsstk13.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { 1, &quot;karate.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     { 1, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { 1, &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     { 1, &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     { 1, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     { 1, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     { 0, &quot;&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            : } ;</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : //****************************************************************************</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 : void test_msf (void)</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         10 :     {</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :         // load the matrix as A</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">         11 :         const char *aname = files [k].name ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">         11 :         bool symmetric = files [k].symmetric ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         11 :         if (strlen (aname) == 0) break;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         10 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         10 :         TEST_CASE (aname) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">         10 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">         10 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">         10 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">         10 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :         // ensure A is uint64</a>
+<a name="78"><span class="lineNum">      78 </span>            :         GrB_Index nrows, ncols ;</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         10 :         OK (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">         10 :         OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         10 :         OK (GrB_Matrix_new (&amp;S, GrB_UINT64, nrows, ncols)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         10 :         OK (GrB_assign (S, NULL, NULL, A, GrB_ALL, nrows, GrB_ALL, ncols,</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :             NULL)) ;</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         10 :         GrB_Index n = nrows ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">         10 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :         // construct a directed graph G with adjacency matrix S</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         10 :         OK (LAGraph_New (&amp;G, &amp;S, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         10 :         TEST_CHECK (S == NULL) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         10 :         bool sanitize = (!symmetric) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :         // compute the min spanning forest</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         10 :         C = NULL ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         10 :         int result = LAGraph_msf (&amp;C, G-&gt;A, sanitize, msg) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         10 :         printf (&quot;result: %d\n&quot;, result) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         10 :         LAGraph_PrintLevel pr = (n &lt;= 100) ? LAGraph_COMPLETE : LAGraph_SHORT ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :         // check result C for A.mtx</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         10 :         if (strcmp (aname, &quot;A.mtx&quot;) == 0)</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :             GrB_Matrix Cgood = NULL ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 :             OK (GrB_Matrix_new (&amp;Cgood, GrB_UINT64, n, n)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 1, 0)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 2, 0)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 3, 1)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 4, 1)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 5, 1)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (Cgood, 1, 6, 0)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :             OK (GrB_wait (Cgood, GrB_MATERIALIZE)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 :             printf (&quot;\nmsf (known result):\n&quot;) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :             OK (LAGraph_Matrix_Print (Cgood, pr, stdout, msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :             bool ok = false ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, C, Cgood, msg)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          1 :             TEST_CHECK (ok) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;Cgood)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :         }</a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         10 :         printf (&quot;\nmsf:\n&quot;) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         10 :         OK (LAGraph_Matrix_Print (C, pr, stdout, msg)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         10 :         OK (GrB_free (&amp;C)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         10 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     #else</a>
+<a name="126"><span class="lineNum">     126 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="127"><span class="lineNum">     127 </span>            :     #endif</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 : }</span></a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            : //------------------------------------------------------------------------------</a>
+<a name="132"><span class="lineNum">     132 </span>            : // test_errors</a>
+<a name="133"><span class="lineNum">     133 </span>            : //------------------------------------------------------------------------------</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : {</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :     // C and A are NULL</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     int result = LAGraph_msf (NULL, NULL, true, msg) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            :     // A must be square</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_UINT64, 3, 4)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     result = LAGraph_msf (&amp;C, A, true, msg) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_DIMENSION_MISMATCH) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     #else</a>
+<a name="151"><span class="lineNum">     151 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="152"><span class="lineNum">     152 </span>            :     #endif</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 : }</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            : //****************************************************************************</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            : TEST_LIST = {</a>
+<a name="159"><span class="lineNum">     159 </span>            :     {&quot;msf&quot;, test_msf},</a>
+<a name="160"><span class="lineNum">     160 </span>            :     {&quot;msf_errors&quot;, test_errors},</a>
+<a name="161"><span class="lineNum">     161 </span>            :     {NULL, NULL}</a>
+<a name="162"><span class="lineNum">     162 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_scc.c.func-sort-c.html b/experimental/test/test_scc.c.func-sort-c.html
new file mode 100644
index 0000000000..6d424ddb5f
--- /dev/null
+++ b/experimental/test/test_scc.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_scc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_scc.c<span style="font-size: 80%;"> (<a href="test_scc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_scc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_scc.c.gcov.html#161">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_scc.c.gcov.html#96">test_scc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_scc.c.func.html b/experimental/test/test_scc.c.func.html
new file mode 100644
index 0000000000..dc76a5a07b
--- /dev/null
+++ b/experimental/test/test_scc.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_scc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_scc.c<span style="font-size: 80%;"> (<a href="test_scc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_scc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_scc.c.gcov.html#161">test_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_scc.c.gcov.html#96">test_scc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/test/test_scc.c.gcov.html b/experimental/test/test_scc.c.gcov.html
new file mode 100644
index 0000000000..e9714cf558
--- /dev/null
+++ b/experimental/test/test_scc.c.gcov.html
@@ -0,0 +1,271 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/test/test_scc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/test</a> - test_scc.c<span style="font-size: 80%;"> (source / <a href="test_scc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntry">50</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/experimental/test/test_scc.c: tests for Strongly Connected Components</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // todo: write a simple scc method, as LG_check_scc, and compare its results</a>
+<a name="19"><span class="lineNum">      19 </span>            : // with LAGraph_scc</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;LAGraphX.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : typedef struct</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const char *name ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : matrix_info ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : int scc_cover [7] = { 0, 0, 2, 0, 4, 2, 0 } ;</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : const matrix_info files [ ] =</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            :     { &quot;A2.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     { &quot;A.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     { &quot;bcsstk13.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     { &quot;cover.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     { &quot;cover_structure.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { &quot;cryg2500.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     { &quot;full.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { &quot;full_noheader.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     { &quot;full_symmetric.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     { &quot;jagmesh7.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     { &quot;karate.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     { &quot;ldbc-cdlp-directed-example.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     { &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     { &quot;ldbc-directed-example-bool.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     { &quot;ldbc-directed-example.mtx&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            :     { &quot;ldbc-directed-example-unweighted.mtx&quot; },</a>
+<a name="59"><span class="lineNum">      59 </span>            :     { &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     { &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="61"><span class="lineNum">      61 </span>            :     { &quot;ldbc-undirected-example-unweighted.mtx&quot; },</a>
+<a name="62"><span class="lineNum">      62 </span>            :     { &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="63"><span class="lineNum">      63 </span>            :     { &quot;LFAT5.mtx&quot; },</a>
+<a name="64"><span class="lineNum">      64 </span>            :     { &quot;LFAT5_two.mtx&quot; },</a>
+<a name="65"><span class="lineNum">      65 </span>            :     { &quot;matrix_bool.mtx&quot; },</a>
+<a name="66"><span class="lineNum">      66 </span>            :     { &quot;matrix_fp32.mtx&quot; },</a>
+<a name="67"><span class="lineNum">      67 </span>            :     { &quot;matrix_fp32_structure.mtx&quot; },</a>
+<a name="68"><span class="lineNum">      68 </span>            :     { &quot;matrix_fp64.mtx&quot; },</a>
+<a name="69"><span class="lineNum">      69 </span>            :     { &quot;matrix_int16.mtx&quot; },</a>
+<a name="70"><span class="lineNum">      70 </span>            :     { &quot;matrix_int32.mtx&quot; },</a>
+<a name="71"><span class="lineNum">      71 </span>            :     { &quot;matrix_int64.mtx&quot; },</a>
+<a name="72"><span class="lineNum">      72 </span>            :     { &quot;matrix_int8.mtx&quot; },</a>
+<a name="73"><span class="lineNum">      73 </span>            :     { &quot;matrix_uint16.mtx&quot; },</a>
+<a name="74"><span class="lineNum">      74 </span>            :     { &quot;matrix_uint32.mtx&quot; },</a>
+<a name="75"><span class="lineNum">      75 </span>            :     { &quot;matrix_uint64.mtx&quot; },</a>
+<a name="76"><span class="lineNum">      76 </span>            :     { &quot;matrix_uint8.mtx&quot; },</a>
+<a name="77"><span class="lineNum">      77 </span>            :     { &quot;msf1.mtx&quot; },</a>
+<a name="78"><span class="lineNum">      78 </span>            :     { &quot;msf2.mtx&quot; },</a>
+<a name="79"><span class="lineNum">      79 </span>            :     { &quot;msf3.mtx&quot; },</a>
+<a name="80"><span class="lineNum">      80 </span>            :     { &quot;olm1000.mtx&quot; },</a>
+<a name="81"><span class="lineNum">      81 </span>            :     { &quot;pushpull.mtx&quot; },</a>
+<a name="82"><span class="lineNum">      82 </span>            :     { &quot;sample2.mtx&quot; },</a>
+<a name="83"><span class="lineNum">      83 </span>            :     { &quot;sample.mtx&quot; },</a>
+<a name="84"><span class="lineNum">      84 </span>            :     { &quot;structure.mtx&quot; },</a>
+<a name="85"><span class="lineNum">      85 </span>            :     { &quot;test_BF.mtx&quot; },</a>
+<a name="86"><span class="lineNum">      86 </span>            :     { &quot;test_FW_1000.mtx&quot; },</a>
+<a name="87"><span class="lineNum">      87 </span>            :     { &quot;test_FW_2003.mtx&quot; },</a>
+<a name="88"><span class="lineNum">      88 </span>            :     { &quot;test_FW_2500.mtx&quot; },</a>
+<a name="89"><span class="lineNum">      89 </span>            :     { &quot;tree-example.mtx&quot; },</a>
+<a name="90"><span class="lineNum">      90 </span>            :     { &quot;west0067_jumbled.mtx&quot; },</a>
+<a name="91"><span class="lineNum">      91 </span>            :     { &quot;west0067.mtx&quot; },</a>
+<a name="92"><span class="lineNum">      92 </span>            :     { &quot;west0067_noheader.mtx&quot; },</a>
+<a name="93"><span class="lineNum">      93 </span>            :     { &quot;zenios.mtx&quot; },</a>
+<a name="94"><span class="lineNum">      94 </span>            :     { &quot;&quot; },</a>
+<a name="95"><span class="lineNum">      95 </span>            : } ;</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : //****************************************************************************</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 : void test_scc (void)</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : {</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         51 :     {</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :         // load the matrix as A</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         52 :         const char *aname = files [k].name ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         52 :         if (strlen (aname) == 0) break;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         51 :         printf (&quot;\n================================== %s:\n&quot;, aname) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         51 :         TEST_CASE (aname) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         51 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         51 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         51 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :         // construct a directed graph G with adjacency matrix A</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         51 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         51 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         51 :         GrB_Vector c = NULL ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :         // find the strongly connected components with LAGraph_scc</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         51 :         OK (LAGraph_scc (&amp;c, G-&gt;A, msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :         GrB_Index n ;</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         51 :         OK (GrB_Vector_size (&amp;n, c)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         51 :         LAGraph_PrintLevel pr = (n &lt;= 100) ? LAGraph_COMPLETE : LAGraph_SHORT ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :         // check result c for cover</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         51 :         if (strcmp (aname, &quot;cover.mtx&quot;) == 0)</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :         {</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :             GrB_Vector cgood = NULL ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :             OK (GrB_Vector_new (&amp;cgood, GrB_UINT64, n)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          8 :             for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :             {</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          7 :                 OK (GrB_Vector_setElement (cgood, scc_cover [k], k)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :             }</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :             OK (GrB_wait (cgood, GrB_MATERIALIZE)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :             printf (&quot;\nscc (known result):\n&quot;) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :             OK (LAGraph_Vector_Print (cgood, pr, stdout, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :             bool ok = false ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :             OK (LAGraph_Vector_IsEqual (&amp;ok, c, cgood, msg)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :             TEST_CHECK (ok) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;cgood)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :         }</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         51 :         printf (&quot;\nscc:\n&quot;) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         51 :         OK (LAGraph_Vector_Print (c, pr, stdout, msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;c)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         51 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :     }</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :     #else</a>
+<a name="154"><span class="lineNum">     154 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="155"><span class="lineNum">     155 </span>            :     #endif</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 : }</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            : //------------------------------------------------------------------------------</a>
+<a name="160"><span class="lineNum">     160 </span>            : // test_errors</a>
+<a name="161"><span class="lineNum">     161 </span>            : //------------------------------------------------------------------------------</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 : void test_errors (void)</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : {</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     GrB_Vector c = NULL ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :     // c and A are NULL</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     int result = LAGraph_scc (NULL, A, msg) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d\n&quot;, result) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     // A is rectangular</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_BOOL, 3, 4)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     result = LAGraph_scc (&amp;c, A, msg) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_DIMENSION_MISMATCH) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;c)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :     #else</a>
+<a name="184"><span class="lineNum">     184 </span>            :     printf (&quot;test skipped\n&quot;) ;</a>
+<a name="185"><span class="lineNum">     185 </span>            :     #endif</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 : }</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span>            : //****************************************************************************</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            : TEST_LIST = {</a>
+<a name="192"><span class="lineNum">     192 </span>            :     {&quot;scc&quot;, test_scc},</a>
+<a name="193"><span class="lineNum">     193 </span>            :     {&quot;scc_errors&quot;, test_errors},</a>
+<a name="194"><span class="lineNum">     194 </span>            :     {NULL, NULL}</a>
+<a name="195"><span class="lineNum">     195 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random.c.func-sort-c.html b/experimental/utility/LAGraph_Random.c.func-sort-c.html
new file mode 100644
index 0000000000..dd7fe23d6e
--- /dev/null
+++ b/experimental/utility/LAGraph_Random.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random.c<span style="font-size: 80%;"> (<a href="LAGraph_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Random.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#84">LAGraph_Random_Finalize</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#71">LAGraph_Random_Init</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#107">LAGraph_Random_Seed</a></td>
+              <td class="coverFnHi">833</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#161">LAGraph_Random_Next</a></td>
+              <td class="coverFnHi">1108</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#50">LG_rand_next_f</a></td>
+              <td class="coverFnHi">285699</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random.c.func.html b/experimental/utility/LAGraph_Random.c.func.html
new file mode 100644
index 0000000000..3278055be2
--- /dev/null
+++ b/experimental/utility/LAGraph_Random.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random.c<span style="font-size: 80%;"> (<a href="LAGraph_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Random.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#84">LAGraph_Random_Finalize</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#71">LAGraph_Random_Init</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#161">LAGraph_Random_Next</a></td>
+              <td class="coverFnHi">1108</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#107">LAGraph_Random_Seed</a></td>
+              <td class="coverFnHi">833</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random.c.gcov.html#50">LG_rand_next_f</a></td>
+              <td class="coverFnHi">285699</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random.c.gcov.html b/experimental/utility/LAGraph_Random.c.gcov.html
new file mode 100644
index 0000000000..9b8629ab49
--- /dev/null
+++ b/experimental/utility/LAGraph_Random.c.gcov.html
@@ -0,0 +1,252 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Random.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntry">37</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Random: generate a random vector (of any sparsity structure)</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A very simple thread-safe parallel pseudo-random nuumber generator.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // FUTURE: add LAGraph_Random_Init to LAGraph_Init,</a>
+<a name="21"><span class="lineNum">      21 </span>            : // and added LAGraph_Random_Finalize to LAGraph_Finalize.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : // LG_RAND macros</a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : // Generate the next seed</a>
+<a name="31"><span class="lineNum">      31 </span>            : #define LG_RAND_NEXT(seed) ((seed) * 1103515245 + 12345)</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : // extract a random 15-bit value from a seed (no longer used)</a>
+<a name="34"><span class="lineNum">      34 </span>            : // #define LG_RAND_15_MAX 32767</a>
+<a name="35"><span class="lineNum">      35 </span>            : // #define LG_RAND_15(seed) (((seed)/65536) % (LG_RAND_15_MAX + 1))</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : // global operator</a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : // This operator can be shared by all threads in a user application, and thus</a>
+<a name="42"><span class="lineNum">      42 </span>            : // is safely declared as a global object.</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : GrB_UnaryOp LG_rand_next_op = NULL ;</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : //------------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : // LG_rand_next_f:  unary operator to construct the next seed</a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : // z = f(x), where x is the old seed and z is the new seed.</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">     285699 : void LG_rand_next_f (void *z, const void *x)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">     285699 :     uint64_t seed = (*((uint64_t *) x)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">     285699 :     seed = LG_RAND_NEXT (seed) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">     285699 :     seed = LG_RAND_NEXT (seed) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">     285699 :     seed = LG_RAND_NEXT (seed) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">     285699 :     seed = LG_RAND_NEXT (seed) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">     285699 :     seed = LG_RAND_NEXT (seed) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">     285699 :     (*((uint64_t *) z)) = seed ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">     285699 : }</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : //------------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            : // LAGraph_Random_Init:  create the random seed operator</a>
+<a name="65"><span class="lineNum">      65 </span>            : //------------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : #undef  LG_FREE_WORK</a>
+<a name="68"><span class="lineNum">      68 </span>            : #define LG_FREE_WORK                                        \</a>
+<a name="69"><span class="lineNum">      69 </span>            : {                                                           \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_UnaryOp_free (&amp;LG_rand_next_op) ;                   \</a>
+<a name="71"><span class="lineNum">      71 </span>            : }</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          5 : int LAGraph_Random_Init (char *msg)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          5 :     LG_CLEAR_MSG ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          5 :     LG_rand_next_op = NULL ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          5 :     GRB_TRY (GrB_UnaryOp_new (&amp;LG_rand_next_op, LG_rand_next_f,</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :         GrB_UINT64, GrB_UINT64)) ;</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :     return (GrB_SUCCESS) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : }</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            : //------------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : // LAGraph_Random_Finalize:  free the random seed operator</a>
+<a name="84"><span class="lineNum">      84 </span>            : //------------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          5 : int LAGraph_Random_Finalize (char *msg)</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : {</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          5 :     LG_CLEAR_MSG ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          5 :     LG_FREE_WORK ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          5 :     return (GrB_SUCCESS) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            : //------------------------------------------------------------------------------</a>
+<a name="94"><span class="lineNum">      94 </span>            : // LAGraph_Random_Seed:  create a vector of random seeds</a>
+<a name="95"><span class="lineNum">      95 </span>            : //------------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : // Initializes a vector with random seed values.  The Seed vector must be</a>
+<a name="98"><span class="lineNum">      98 </span>            : // allocated on input, and should be of type GrB_UINT64.  Its sparsity</a>
+<a name="99"><span class="lineNum">      99 </span>            : // structure is unchanged.</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            : #undef  LG_FREE_WORK</a>
+<a name="102"><span class="lineNum">     102 </span>            : #define LG_FREE_WORK GrB_free (&amp;T) ;</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : #if defined ( COVERAGE )</a>
+<a name="105"><span class="lineNum">     105 </span>            : // for testing only</a>
+<a name="106"><span class="lineNum">     106 </span>            : bool random_hack = false ;</a>
+<a name="107"><span class="lineNum">     107 </span>            : #endif</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">        833 : int LAGraph_Random_Seed     // construct a random seed vector</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : (</a>
+<a name="111"><span class="lineNum">     111 </span>            :     // input/output</a>
+<a name="112"><span class="lineNum">     112 </span>            :     GrB_Vector Seed,    // GrB_UINT64 vector of random number seeds</a>
+<a name="113"><span class="lineNum">     113 </span>            :     // input</a>
+<a name="114"><span class="lineNum">     114 </span>            :     uint64_t seed,      // scalar input seed</a>
+<a name="115"><span class="lineNum">     115 </span>            :     char *msg</a>
+<a name="116"><span class="lineNum">     116 </span>            : )</a>
+<a name="117"><span class="lineNum">     117 </span>            : {</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // check inputs</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        833 :     LG_CLEAR_MSG ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        833 :     GrB_Vector T = NULL ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        833 :     LG_ASSERT (Seed != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            :     // T = 1:n but only for entries present in the Seed vector.  This</a>
+<a name="124"><span class="lineNum">     124 </span>            :     // requires a typecast from int64 to uint64.</a>
+<a name="125"><span class="lineNum">     125 </span>            :     GrB_Index n ;</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">        833 :     GRB_TRY (GrB_Vector_size (&amp;n, Seed)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">        833 :     GRB_TRY (GrB_Vector_new (&amp;T, GrB_UINT64, n)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">        833 :     GRB_TRY (GrB_Vector_apply_IndexOp_INT64 (T, NULL, NULL,</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :         GrB_ROWINDEX_INT64, Seed, 1, NULL)) ;</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            :     // Seed = T * INT32_MAX</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">        833 :     GRB_TRY (GrB_apply (Seed, NULL, NULL, GrB_TIMES_UINT64, T,</span></a>
+<a name="133"><span class="lineNum">     133 </span>            :         (uint64_t) INT32_MAX, NULL)) ;</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span>            :     // Seed = Seed + seed</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">        833 :     GRB_TRY (GrB_apply (Seed, NULL, NULL, GrB_PLUS_UINT64, Seed, seed, NULL)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :     // Seed = next (Seed)</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">        833 :     GRB_TRY (GrB_Vector_apply (Seed, NULL, NULL, LG_rand_next_op, Seed, NULL)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :     #if defined ( COVERAGE )</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">        833 :     if (random_hack)</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :     {</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // Set all Seed values to 1, to break the random seed vector.</a>
+<a name="145"><span class="lineNum">     145 </span>            :         // This is just for testing, to test algorithms that need to handle</a>
+<a name="146"><span class="lineNum">     146 </span>            :         // extreme cases when the random number generator is non-random.</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        432 :         GRB_TRY (GrB_Vector_apply_BinaryOp2nd_UINT64 (Seed, NULL, NULL,</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :             GrB_ONEB_UINT64, Seed, 0, NULL)) ;</a>
+<a name="149"><span class="lineNum">     149 </span>            :     }</a>
+<a name="150"><span class="lineNum">     150 </span>            :     #endif</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        833 :     LG_FREE_WORK ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        833 :     return (GrB_SUCCESS) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            : }</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            : //------------------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            : // LAGraph_Random_Next: return next vector of random seeds</a>
+<a name="158"><span class="lineNum">     158 </span>            : //------------------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            : #undef  LG_FREE_WORK</a>
+<a name="161"><span class="lineNum">     161 </span>            : #define LG_FREE_WORK ;</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">       1108 : int LAGraph_Random_Next     // advance to next random vector</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : (</a>
+<a name="165"><span class="lineNum">     165 </span>            :     // input/output</a>
+<a name="166"><span class="lineNum">     166 </span>            :     GrB_Vector Seed,        // the sparsity pattern of Seed is preserved</a>
+<a name="167"><span class="lineNum">     167 </span>            :     char *msg</a>
+<a name="168"><span class="lineNum">     168 </span>            : )</a>
+<a name="169"><span class="lineNum">     169 </span>            : {</a>
+<a name="170"><span class="lineNum">     170 </span>            :     // check inputs</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">       1108 :     LG_CLEAR_MSG ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">       1108 :     LG_ASSERT (Seed != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :     // Seed = next (Seed)</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">       1108 :     GRB_TRY (GrB_Vector_apply (Seed, NULL, NULL, LG_rand_next_op, Seed, NULL)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">       1108 :     return (GrB_SUCCESS) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random_Matrix.c.func-sort-c.html b/experimental/utility/LAGraph_Random_Matrix.c.func-sort-c.html
new file mode 100644
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+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random_Matrix.c - functions</title>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random_Matrix.c<span style="font-size: 80%;"> (<a href="LAGraph_Random_Matrix.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Random_Matrix.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random_Matrix.c.gcov.html#68">LAGraph_Random_Matrix</a></td>
+              <td class="coverFnHi">57</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random_Matrix.c.gcov.html#57">mod_function</a></td>
+              <td class="coverFnHi">660</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random_Matrix.c.func.html b/experimental/utility/LAGraph_Random_Matrix.c.func.html
new file mode 100644
index 0000000000..9b68ba4656
--- /dev/null
+++ b/experimental/utility/LAGraph_Random_Matrix.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random_Matrix.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random_Matrix.c<span style="font-size: 80%;"> (<a href="LAGraph_Random_Matrix.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Random_Matrix.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random_Matrix.c.gcov.html#68">LAGraph_Random_Matrix</a></td>
+              <td class="coverFnHi">57</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Random_Matrix.c.gcov.html#57">mod_function</a></td>
+              <td class="coverFnHi">660</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+</body>
+</html>
diff --git a/experimental/utility/LAGraph_Random_Matrix.c.gcov.html b/experimental/utility/LAGraph_Random_Matrix.c.gcov.html
new file mode 100644
index 0000000000..a7cc4c7756
--- /dev/null
+++ b/experimental/utility/LAGraph_Random_Matrix.c.gcov.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_Random_Matrix.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_Random_Matrix.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Random_Matrix.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntry">84</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Random_Matrix: generate a random matrix</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Constructs a sparse roughly uniformly distributed random matrix with roughly</a>
+<a name="19"><span class="lineNum">      19 </span>            : // density*nrows*ncols entries.  If density == INFINITY then the matrix is</a>
+<a name="20"><span class="lineNum">      20 </span>            : // generated with all entries present.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // If the type is GrB_FP32 or GrB_FP64, the values of A are returned in the</a>
+<a name="23"><span class="lineNum">      23 </span>            : // range [0,1].  If any duplicate entries are generated, the largest one is</a>
+<a name="24"><span class="lineNum">      24 </span>            : // take, so the distribution can be skewed towards 1 if the density is large.</a>
+<a name="25"><span class="lineNum">      25 </span>            : // This could be fixed by using the GxB_IGNORE_DUP operator, but this would</a>
+<a name="26"><span class="lineNum">      26 </span>            : // require SuiteSparse:GraphBLAS.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LG_FREE_WORK                            \</a>
+<a name="29"><span class="lineNum">      29 </span>            : {                                               \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ;         \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     LAGraph_Free ((void **) &amp;J, NULL) ;         \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     LAGraph_Free ((void **) &amp;ignore, NULL) ;    \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     LAGraph_Free (&amp;X, NULL) ;                   \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     GrB_free (&amp;Mod) ;                           \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;Rows) ;                          \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;Cols) ;                          \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;Values) ;                        \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;Seed) ;                          \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;T) ;                             \</a>
+<a name="40"><span class="lineNum">      40 </span>            : }</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="43"><span class="lineNum">      43 </span>            : {                                               \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LG_FREE_WORK ;                              \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free (A) ;                              \</a>
+<a name="46"><span class="lineNum">      46 </span>            : }</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : // uncomment these to test vanilla case for just this file:</a>
+<a name="52"><span class="lineNum">      52 </span>            : // #undef LAGRAPH_SUITESPARSE</a>
+<a name="53"><span class="lineNum">      53 </span>            : // #define LAGRAPH_SUITESPARSE 0</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            : //------------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : // mod function for uint64: z = x % y</a>
+<a name="57"><span class="lineNum">      57 </span>            : //------------------------------------------------------------------------------</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        660 : void mod_function (void *z, const void *x, const void *y)</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        660 :     uint64_t a = (*((uint64_t *) x)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        660 :     uint64_t b = (*((uint64_t *) y)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        660 :     (*((uint64_t *) z)) = a % b ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        660 : }</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : //------------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            : // LAGraph_Random_Matrix</a>
+<a name="68"><span class="lineNum">      68 </span>            : //------------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         57 : GrB_Info LAGraph_Random_Matrix    // random matrix of any built-in type</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : (</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // output</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_Matrix *A,      // A is constructed on output</a>
+<a name="74"><span class="lineNum">      74 </span>            :     // input</a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_Type type,      // type of matrix to construct</a>
+<a name="76"><span class="lineNum">      76 </span>            :     GrB_Index nrows,    // # of rows of A</a>
+<a name="77"><span class="lineNum">      77 </span>            :     GrB_Index ncols,    // # of columns of A</a>
+<a name="78"><span class="lineNum">      78 </span>            :     double density,     // density: build a sparse matrix with</a>
+<a name="79"><span class="lineNum">      79 </span>            :                         // density*nrows*cols values if not INFINITY;</a>
+<a name="80"><span class="lineNum">      80 </span>            :                         // build a dense matrix if INFINITY.</a>
+<a name="81"><span class="lineNum">      81 </span>            :     uint64_t seed,      // random number seed</a>
+<a name="82"><span class="lineNum">      82 </span>            :     char *msg</a>
+<a name="83"><span class="lineNum">      83 </span>            : )</a>
+<a name="84"><span class="lineNum">      84 </span>            : {</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            :     // check inputs</a>
+<a name="88"><span class="lineNum">      88 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         57 :     LG_CLEAR_MSG ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         57 :     GrB_BinaryOp Mod = NULL ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         57 :     GrB_Vector Rows = NULL, Cols = NULL, Values = NULL, Seed = NULL ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         57 :     GrB_Matrix T = NULL ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         57 :     GrB_Index *I = NULL, *J = NULL, *ignore = NULL ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         57 :     GrB_Index I_size = 0, J_size = 0, X_size = 0 ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         57 :     void *X = NULL ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         57 :     LG_ASSERT (A != NULL &amp;&amp; type != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         57 :     LG_ASSERT_MSG (density &gt;= 0, GrB_INVALID_VALUE, &quot;invalid density&quot;) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         57 :     LG_ASSERT_MSG (type == GrB_BOOL</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         || type == GrB_INT8   || type == GrB_INT16 || type == GrB_INT32</a>
+<a name="102"><span class="lineNum">     102 </span>            :         || type == GrB_INT64  || type == GrB_UINT8 || type == GrB_UINT16</a>
+<a name="103"><span class="lineNum">     103 </span>            :         || type == GrB_UINT32 || type == GrB_UINT64</a>
+<a name="104"><span class="lineNum">     104 </span>            :         || type == GrB_FP32   || type == GrB_FP64,</a>
+<a name="105"><span class="lineNum">     105 </span>            :         GrB_NOT_IMPLEMENTED, &quot;unsupported type&quot;) ;</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         56 :     GRB_TRY (GrB_Matrix_new (A, type, nrows, ncols)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         56 :     if (nrows == 0 || ncols == 0)</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     {</a>
+<a name="110"><span class="lineNum">     110 </span>            :         // nothing to do: return A as the requested empty matrix</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            :     // create the Mod operator</a>
+<a name="116"><span class="lineNum">     116 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         55 :     GRB_TRY (GrB_BinaryOp_new (&amp;Mod, mod_function,</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :         GrB_UINT64, GrB_UINT64, GrB_UINT64)) ;</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="122"><span class="lineNum">     122 </span>            :     // determine the number of entries to generate</a>
+<a name="123"><span class="lineNum">     123 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         55 :     bool A_is_full = isinf (density) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :     GrB_Index nvals ;</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         55 :     if (A_is_full)</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :     {</a>
+<a name="129"><span class="lineNum">     129 </span>            :         // determine number of tuples for building a random dense matrix</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         11 :         double nx = (double) nrows * (double) ncols ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         11 :         LG_ASSERT_MSG (nx &lt; (double) GrB_INDEX_MAX, GrB_OUT_OF_MEMORY,</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :             &quot;Problem too large&quot;) ;</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         11 :         nvals = nrows * ncols ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     }</a>
+<a name="135"><span class="lineNum">     135 </span>            :     else</a>
+<a name="136"><span class="lineNum">     136 </span>            :     {</a>
+<a name="137"><span class="lineNum">     137 </span>            :         // determine number of tuples for building a random sparse matrix</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         44 :         double nx = density * (double) nrows * (double) ncols ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         44 :         nx = round (nx) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         44 :         nx = fmax (nx, (double) 0) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         44 :         nx = fmin (nx, (double) GrB_INDEX_MAX) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         44 :         nvals = (GrB_Index) nx ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :     }</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            :     // allocate workspace</a>
+<a name="147"><span class="lineNum">     147 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :     #if !LAGRAPH_SUITESPARSE</a>
+<a name="150"><span class="lineNum">     150 </span>            :     {</a>
+<a name="151"><span class="lineNum">     151 </span>            :         LG_TRY (LAGraph_Malloc ((void **) &amp;ignore, nvals, sizeof (GrB_Index),</a>
+<a name="152"><span class="lineNum">     152 </span>            :             msg)) ;</a>
+<a name="153"><span class="lineNum">     153 </span>            :         LG_TRY (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg)) ;</a>
+<a name="154"><span class="lineNum">     154 </span>            :         LG_TRY (LAGraph_Malloc ((void **) &amp;J, nvals, sizeof (GrB_Index), msg)) ;</a>
+<a name="155"><span class="lineNum">     155 </span>            :     }</a>
+<a name="156"><span class="lineNum">     156 </span>            :     #endif</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            :     // construct the random Seed vector</a>
+<a name="160"><span class="lineNum">     160 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         55 :     GRB_TRY (GrB_Vector_new (&amp;Seed, GrB_UINT64, nvals)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         55 :     GRB_TRY (GrB_assign (Seed, NULL, NULL, 0, GrB_ALL, nvals, NULL)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         55 :     LG_TRY (LAGraph_Random_Seed (Seed, seed, msg)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="167"><span class="lineNum">     167 </span>            :     // construct the random indices if A is sparse, or all indices if full</a>
+<a name="168"><span class="lineNum">     168 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         55 :     if (!A_is_full)</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :     {</a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :         //----------------------------------------------------------------------</a>
+<a name="174"><span class="lineNum">     174 </span>            :         // construct random indices for a sparse matrix</a>
+<a name="175"><span class="lineNum">     175 </span>            :         //----------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :         // Rows = mod (Seed, nrows) ;</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         44 :         GRB_TRY (GrB_Vector_new (&amp;Rows, GrB_UINT64, nvals)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         44 :         GRB_TRY (GrB_apply (Rows, NULL, NULL, Mod, Seed, nrows, NULL)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            :         // Seed = next (Seed)</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         44 :         LG_TRY (LAGraph_Random_Next (Seed, msg)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            :         // Cols = mod (Seed, ncols) ;</a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         44 :         GRB_TRY (GrB_Vector_new (&amp;Cols, GrB_UINT64, nvals)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         44 :         GRB_TRY (GrB_apply (Cols, NULL, NULL, Mod, Seed, ncols, NULL)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :         // Seed = next (Seed)</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         44 :         LG_TRY (LAGraph_Random_Next (Seed, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :         //----------------------------------------------------------------------</a>
+<a name="192"><span class="lineNum">     192 </span>            :         // extract the indices</a>
+<a name="193"><span class="lineNum">     193 </span>            :         //----------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="196"><span class="lineNum">     196 </span>            :         {</a>
+<a name="197"><span class="lineNum">     197 </span>            :             // this takes O(1) time and space</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         44 :             GRB_TRY (GxB_Vector_unpack_Full (Rows, (void **) &amp;I, &amp;I_size,</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :                 NULL, NULL)) ;</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">         44 :             GRB_TRY (GxB_Vector_unpack_Full (Cols, (void **) &amp;J, &amp;J_size,</span></a>
+<a name="201"><span class="lineNum">     201 </span>            :                 NULL, NULL)) ;</a>
+<a name="202"><span class="lineNum">     202 </span>            :         }</a>
+<a name="203"><span class="lineNum">     203 </span>            :         #else</a>
+<a name="204"><span class="lineNum">     204 </span>            :         {</a>
+<a name="205"><span class="lineNum">     205 </span>            :             // this takes O(nvals) time and space</a>
+<a name="206"><span class="lineNum">     206 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT64 (ignore, I, &amp;nvals,</a>
+<a name="207"><span class="lineNum">     207 </span>            :                 Rows)) ;</a>
+<a name="208"><span class="lineNum">     208 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT64 (ignore, J, &amp;nvals,</a>
+<a name="209"><span class="lineNum">     209 </span>            :                 Cols)) ;</a>
+<a name="210"><span class="lineNum">     210 </span>            :         }</a>
+<a name="211"><span class="lineNum">     211 </span>            :         #endif</a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         44 :         GrB_free (&amp;Rows) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         44 :         GrB_free (&amp;Cols) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :     }</a>
+<a name="217"><span class="lineNum">     217 </span>            :     else</a>
+<a name="218"><span class="lineNum">     218 </span>            :     {</a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :         //----------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            :         // construct indices for a full matrix</a>
+<a name="222"><span class="lineNum">     222 </span>            :         //----------------------------------------------------------------------</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :         #if !LAGRAPH_SUITESPARSE</a>
+<a name="225"><span class="lineNum">     225 </span>            :         {</a>
+<a name="226"><span class="lineNum">     226 </span>            :             // T = true (nrows, ncols) ;</a>
+<a name="227"><span class="lineNum">     227 </span>            :             GRB_TRY (GrB_Matrix_new (&amp;T, GrB_BOOL, nrows, ncols)) ;</a>
+<a name="228"><span class="lineNum">     228 </span>            :             GRB_TRY (GrB_assign (T, NULL, NULL, true,</a>
+<a name="229"><span class="lineNum">     229 </span>            :                 GrB_ALL, nrows, GrB_ALL, ncols, NULL)) ;</a>
+<a name="230"><span class="lineNum">     230 </span>            :             // extract the row and column indices from T</a>
+<a name="231"><span class="lineNum">     231 </span>            :             GRB_TRY (GrB_Matrix_extractTuples (I, J, (bool *) ignore, &amp;nvals,</a>
+<a name="232"><span class="lineNum">     232 </span>            :                 T)) ;</a>
+<a name="233"><span class="lineNum">     233 </span>            :             GrB_free (&amp;T) ;</a>
+<a name="234"><span class="lineNum">     234 </span>            :         }</a>
+<a name="235"><span class="lineNum">     235 </span>            :         #endif</a>
+<a name="236"><span class="lineNum">     236 </span>            :     }</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            :     //-------------------------------------------------------------------------</a>
+<a name="239"><span class="lineNum">     239 </span>            :     // construct the random values</a>
+<a name="240"><span class="lineNum">     240 </span>            :     //-------------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">         55 :     if (type == GrB_BOOL)</span></a>
+<a name="243"><span class="lineNum">     243 </span>            :     {</a>
+<a name="244"><span class="lineNum">     244 </span>            :         // Values = (Seed &lt; UINT64_MAX / 2)</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          5 :         GRB_TRY (GrB_Vector_new (&amp;Values, GrB_BOOL, nvals)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          5 :         GRB_TRY (GrB_apply (Values, NULL, NULL,</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :             GrB_LT_UINT64, Seed, UINT64_MAX / 2, NULL)) ;</a>
+<a name="248"><span class="lineNum">     248 </span>            :     }</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         50 :     else if (type == GrB_UINT64)</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :     {</a>
+<a name="251"><span class="lineNum">     251 </span>            :         // no need to allocate the Values vector; just use the Seed itself</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          5 :         Values = Seed ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          5 :         Seed = NULL ;</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :     }</a>
+<a name="255"><span class="lineNum">     255 </span>            :     else</a>
+<a name="256"><span class="lineNum">     256 </span>            :     {</a>
+<a name="257"><span class="lineNum">     257 </span>            :         // Values = (type) Seed</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         45 :         GRB_TRY (GrB_Vector_new (&amp;Values, type, nvals)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         45 :         GRB_TRY (GrB_assign (Values, NULL, NULL, Seed, GrB_ALL, nvals,</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :             NULL)) ;</a>
+<a name="261"><span class="lineNum">     261 </span>            :     }</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">         55 :     GrB_free (&amp;Seed) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span>            :     // scale the values to the range [0,1], if floating-point</a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         55 :     if (type == GrB_FP32)</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :     {</a>
+<a name="267"><span class="lineNum">     267 </span>            :         // Values = Values / (float) UINT64_MAX</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          5 :         GRB_TRY (GrB_apply (Values, NULL, NULL, GrB_DIV_FP32,</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :             Values, (float) UINT64_MAX, NULL)) ;</a>
+<a name="270"><span class="lineNum">     270 </span>            :     }</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         50 :     else if (type == GrB_FP64)</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :     {</a>
+<a name="273"><span class="lineNum">     273 </span>            :         // Values = Values / (double) UINT64_MAX</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          5 :         GRB_TRY (GrB_apply (Values, NULL, NULL, GrB_DIV_FP64,</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :             Values, (double) UINT64_MAX, NULL)) ;</a>
+<a name="276"><span class="lineNum">     276 </span>            :     }</a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="279"><span class="lineNum">     279 </span>            :     // extract the values</a>
+<a name="280"><span class="lineNum">     280 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="283"><span class="lineNum">     283 </span>            :     {</a>
+<a name="284"><span class="lineNum">     284 </span>            :         // this takes O(1) time and space and works for any data type</a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">         55 :         GRB_TRY (GxB_Vector_unpack_Full (Values, &amp;X, &amp;X_size, NULL, NULL)) ;</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :     }</a>
+<a name="287"><span class="lineNum">     287 </span>            :     #else</a>
+<a name="288"><span class="lineNum">     288 </span>            :     {</a>
+<a name="289"><span class="lineNum">     289 </span>            :         // this takes O(nvals) time and space</a>
+<a name="290"><span class="lineNum">     290 </span>            :         if (type == GrB_BOOL)</a>
+<a name="291"><span class="lineNum">     291 </span>            :         {</a>
+<a name="292"><span class="lineNum">     292 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (bool), msg)) ;</a>
+<a name="293"><span class="lineNum">     293 </span>            :             GRB_TRY (GrB_Vector_extractTuples_BOOL (ignore, X, &amp;nvals,</a>
+<a name="294"><span class="lineNum">     294 </span>            :                 Values)) ;</a>
+<a name="295"><span class="lineNum">     295 </span>            :         }</a>
+<a name="296"><span class="lineNum">     296 </span>            :         else if (type == GrB_INT8)</a>
+<a name="297"><span class="lineNum">     297 </span>            :         {</a>
+<a name="298"><span class="lineNum">     298 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (int8_t),</a>
+<a name="299"><span class="lineNum">     299 </span>            :                 msg)) ;</a>
+<a name="300"><span class="lineNum">     300 </span>            :             GRB_TRY (GrB_Vector_extractTuples_INT8 (ignore, X, &amp;nvals,</a>
+<a name="301"><span class="lineNum">     301 </span>            :                 Values)) ;</a>
+<a name="302"><span class="lineNum">     302 </span>            :         }</a>
+<a name="303"><span class="lineNum">     303 </span>            :         else if (type == GrB_INT16)</a>
+<a name="304"><span class="lineNum">     304 </span>            :         {</a>
+<a name="305"><span class="lineNum">     305 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (int16_t),</a>
+<a name="306"><span class="lineNum">     306 </span>            :                 msg)) ;</a>
+<a name="307"><span class="lineNum">     307 </span>            :             GRB_TRY (GrB_Vector_extractTuples_INT16 (ignore, X, &amp;nvals,</a>
+<a name="308"><span class="lineNum">     308 </span>            :                 Values)) ;</a>
+<a name="309"><span class="lineNum">     309 </span>            :         }</a>
+<a name="310"><span class="lineNum">     310 </span>            :         else if (type == GrB_INT32)</a>
+<a name="311"><span class="lineNum">     311 </span>            :         {</a>
+<a name="312"><span class="lineNum">     312 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (int32_t),</a>
+<a name="313"><span class="lineNum">     313 </span>            :                 msg)) ;</a>
+<a name="314"><span class="lineNum">     314 </span>            :             GRB_TRY (GrB_Vector_extractTuples_INT32 (ignore, X, &amp;nvals,</a>
+<a name="315"><span class="lineNum">     315 </span>            :                 Values)) ;</a>
+<a name="316"><span class="lineNum">     316 </span>            :         }</a>
+<a name="317"><span class="lineNum">     317 </span>            :         else if (type == GrB_INT64)</a>
+<a name="318"><span class="lineNum">     318 </span>            :         {</a>
+<a name="319"><span class="lineNum">     319 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (int64_t),</a>
+<a name="320"><span class="lineNum">     320 </span>            :                 msg)) ;</a>
+<a name="321"><span class="lineNum">     321 </span>            :             GRB_TRY (GrB_Vector_extractTuples_INT64 (ignore, X, &amp;nvals,</a>
+<a name="322"><span class="lineNum">     322 </span>            :                 Values)) ;</a>
+<a name="323"><span class="lineNum">     323 </span>            :         }</a>
+<a name="324"><span class="lineNum">     324 </span>            :         else if (type == GrB_UINT8)</a>
+<a name="325"><span class="lineNum">     325 </span>            :         {</a>
+<a name="326"><span class="lineNum">     326 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (uint8_t),</a>
+<a name="327"><span class="lineNum">     327 </span>            :                 msg)) ;</a>
+<a name="328"><span class="lineNum">     328 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT8 (ignore, X, &amp;nvals,</a>
+<a name="329"><span class="lineNum">     329 </span>            :                 Values)) ;</a>
+<a name="330"><span class="lineNum">     330 </span>            :         }</a>
+<a name="331"><span class="lineNum">     331 </span>            :         else if (type == GrB_UINT16)</a>
+<a name="332"><span class="lineNum">     332 </span>            :         {</a>
+<a name="333"><span class="lineNum">     333 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (uint16_t),</a>
+<a name="334"><span class="lineNum">     334 </span>            :                 msg)) ;</a>
+<a name="335"><span class="lineNum">     335 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT16 (ignore, X, &amp;nvals,</a>
+<a name="336"><span class="lineNum">     336 </span>            :                 Values)) ;</a>
+<a name="337"><span class="lineNum">     337 </span>            :         }</a>
+<a name="338"><span class="lineNum">     338 </span>            :         else if (type == GrB_UINT32)</a>
+<a name="339"><span class="lineNum">     339 </span>            :         {</a>
+<a name="340"><span class="lineNum">     340 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (uint32_t),</a>
+<a name="341"><span class="lineNum">     341 </span>            :                 msg)) ;</a>
+<a name="342"><span class="lineNum">     342 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT32 (ignore, X, &amp;nvals,</a>
+<a name="343"><span class="lineNum">     343 </span>            :                 Values)) ;</a>
+<a name="344"><span class="lineNum">     344 </span>            :         }</a>
+<a name="345"><span class="lineNum">     345 </span>            :         else if (type == GrB_UINT64)</a>
+<a name="346"><span class="lineNum">     346 </span>            :         {</a>
+<a name="347"><span class="lineNum">     347 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (uint64_t),</a>
+<a name="348"><span class="lineNum">     348 </span>            :                 msg)) ;</a>
+<a name="349"><span class="lineNum">     349 </span>            :             GRB_TRY (GrB_Vector_extractTuples_UINT64 (ignore, X, &amp;nvals,</a>
+<a name="350"><span class="lineNum">     350 </span>            :                 Values)) ;</a>
+<a name="351"><span class="lineNum">     351 </span>            :         }</a>
+<a name="352"><span class="lineNum">     352 </span>            :         else if (type == GrB_FP32)</a>
+<a name="353"><span class="lineNum">     353 </span>            :         {</a>
+<a name="354"><span class="lineNum">     354 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (float),</a>
+<a name="355"><span class="lineNum">     355 </span>            :                 msg)) ;</a>
+<a name="356"><span class="lineNum">     356 </span>            :             GRB_TRY (GrB_Vector_extractTuples_FP32 (ignore, X, &amp;nvals,</a>
+<a name="357"><span class="lineNum">     357 </span>            :                 Values)) ;</a>
+<a name="358"><span class="lineNum">     358 </span>            :         }</a>
+<a name="359"><span class="lineNum">     359 </span>            :         else // if (type == GrB_FP64)</a>
+<a name="360"><span class="lineNum">     360 </span>            :         {</a>
+<a name="361"><span class="lineNum">     361 </span>            :             LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (double),</a>
+<a name="362"><span class="lineNum">     362 </span>            :                 msg)) ;</a>
+<a name="363"><span class="lineNum">     363 </span>            :             GRB_TRY (GrB_Vector_extractTuples_FP64 (ignore, X, &amp;nvals,</a>
+<a name="364"><span class="lineNum">     364 </span>            :                 Values)) ;</a>
+<a name="365"><span class="lineNum">     365 </span>            :         }</a>
+<a name="366"><span class="lineNum">     366 </span>            :         LAGraph_Free ((void **) &amp;ignore, NULL) ;</a>
+<a name="367"><span class="lineNum">     367 </span>            :     }</a>
+<a name="368"><span class="lineNum">     368 </span>            :     #endif</a>
+<a name="369"><span class="lineNum">     369 </span>            : </a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">         55 :     GrB_free (&amp;Values) ;</span></a>
+<a name="371"><span class="lineNum">     371 </span>            : </a>
+<a name="372"><span class="lineNum">     372 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="373"><span class="lineNum">     373 </span>            :     // build the matrix</a>
+<a name="374"><span class="lineNum">     374 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="375"><span class="lineNum">     375 </span>            : </a>
+<a name="376"><span class="lineNum">     376 </span>            :     // Using GxB_IGNORE_DUP for the dup operator would be faster for</a>
+<a name="377"><span class="lineNum">     377 </span>            :     // SuiteSparse, but it would result in a different matrix as compared to</a>
+<a name="378"><span class="lineNum">     378 </span>            :     // the pure GrB case.</a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">         55 :     if (A_is_full)</span></a>
+<a name="382"><span class="lineNum">     382 </span>            :     {</a>
+<a name="383"><span class="lineNum">     383 </span>            :         // this takes O(1) time and space</a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">         11 :         GRB_TRY (GxB_Matrix_pack_FullR (*A, &amp;X, X_size, false, NULL)) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span>            :     }</a>
+<a name="386"><span class="lineNum">     386 </span>            :     else</a>
+<a name="387"><span class="lineNum">     387 </span>            :     #endif</a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">         44 :     if (type == GrB_BOOL)</span></a>
+<a name="389"><span class="lineNum">     389 </span>            :     {</a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_BOOL   (*A, I, J, X, nvals, GrB_LXOR)) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span>            :     }</a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">         40 :     else if (type == GrB_INT8)</span></a>
+<a name="393"><span class="lineNum">     393 </span>            :     {</a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_INT8   (*A, I, J, X, nvals, GrB_PLUS_INT8)) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span>            :     }</a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">         36 :     else if (type == GrB_INT16)</span></a>
+<a name="397"><span class="lineNum">     397 </span>            :     {</a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_INT16  (*A, I, J, X, nvals, GrB_PLUS_INT16)) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span>            :     }</a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">         32 :     else if (type == GrB_INT32)</span></a>
+<a name="401"><span class="lineNum">     401 </span>            :     {</a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_INT32  (*A, I, J, X, nvals, GrB_PLUS_INT32)) ;</span></a>
+<a name="403"><span class="lineNum">     403 </span>            :     }</a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">         28 :     else if (type == GrB_INT64)</span></a>
+<a name="405"><span class="lineNum">     405 </span>            :     {</a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_INT64  (*A, I, J, X, nvals, GrB_PLUS_INT64)) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span>            :     }</a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">         24 :     else if (type == GrB_UINT8)</span></a>
+<a name="409"><span class="lineNum">     409 </span>            :     {</a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_UINT8  (*A, I, J, X, nvals, GrB_PLUS_UINT8)) ;</span></a>
+<a name="411"><span class="lineNum">     411 </span>            :     }</a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">         20 :     else if (type == GrB_UINT16)</span></a>
+<a name="413"><span class="lineNum">     413 </span>            :     {</a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_UINT16 (*A, I, J, X, nvals, GrB_PLUS_UINT16));</span></a>
+<a name="415"><span class="lineNum">     415 </span>            :     }</a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">         16 :     else if (type == GrB_UINT32)</span></a>
+<a name="417"><span class="lineNum">     417 </span>            :     {</a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_UINT32 (*A, I, J, X, nvals, GrB_PLUS_UINT32));</span></a>
+<a name="419"><span class="lineNum">     419 </span>            :     }</a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">         12 :     else if (type == GrB_UINT64)</span></a>
+<a name="421"><span class="lineNum">     421 </span>            :     {</a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_UINT64 (*A, I, J, X, nvals, GrB_PLUS_UINT64));</span></a>
+<a name="423"><span class="lineNum">     423 </span>            :     }</a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">          8 :     else if (type == GrB_FP32)</span></a>
+<a name="425"><span class="lineNum">     425 </span>            :     {</a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_FP32   (*A, I, J, X, nvals, GrB_MAX_FP32)) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span>            :     }</a>
+<a name="428"><span class="lineNum">     428 </span>            :     else // if (type == GrB_FP64)</a>
+<a name="429"><span class="lineNum">     429 </span>            :     {</a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_build_FP64   (*A, I, J, X, nvals, GrB_MAX_FP64)) ;</span></a>
+<a name="431"><span class="lineNum">     431 </span>            :     }</a>
+<a name="432"><span class="lineNum">     432 </span>            : </a>
+<a name="433"><span class="lineNum">     433 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="434"><span class="lineNum">     434 </span>            :     // free workspace and return result</a>
+<a name="435"><span class="lineNum">     435 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="436"><span class="lineNum">     436 </span>            : </a>
+<a name="437"><span class="lineNum">     437 </span><span class="lineCov">         55 :     LG_FREE_WORK ;</span></a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">         55 :     return (GrB_SUCCESS) ;</span></a>
+<a name="439"><span class="lineNum">     439 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeContents.c.func-sort-c.html b/experimental/utility/LAGraph_SFreeContents.c.func-sort-c.html
new file mode 100644
index 0000000000..6432134e70
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeContents.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeContents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeContents.c<span style="font-size: 80%;"> (<a href="LAGraph_SFreeContents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SFreeContents.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SFreeContents.c.gcov.html#19">LAGraph_SFreeContents</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeContents.c.func.html b/experimental/utility/LAGraph_SFreeContents.c.func.html
new file mode 100644
index 0000000000..fa2839848d
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeContents.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeContents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeContents.c<span style="font-size: 80%;"> (<a href="LAGraph_SFreeContents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SFreeContents.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SFreeContents.c.gcov.html#19">LAGraph_SFreeContents</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeContents.c.gcov.html b/experimental/utility/LAGraph_SFreeContents.c.gcov.html
new file mode 100644
index 0000000000..5d529c459d
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeContents.c.gcov.html
@@ -0,0 +1,116 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeContents.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeContents.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SFreeContents.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SFreeContents: free the Contents returned by LAGraph_SRead.</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">          8 : void LAGraph_SFreeContents  // free the Contents returned by LAGraph_SRead</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : (</a>
+<a name="23"><span class="lineNum">      23 </span>            :     // input/output</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_Contents **Contents_handle,     // array of size ncontents</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_Index ncontents</a>
+<a name="26"><span class="lineNum">      26 </span>            : )</a>
+<a name="27"><span class="lineNum">      27 </span>            : {</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          8 :     if (Contents_handle != NULL)</span></a>
+<a name="29"><span class="lineNum">      29 </span>            :     {</a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          8 :         LAGraph_Contents *Contents = (*Contents_handle) ;</span></a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          8 :         if (Contents != NULL)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            :         {</a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        110 :             for (GrB_Index i = 0 ; i &lt; ncontents ; i++)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :             {</a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        105 :                 LAGraph_Free ((void **) &amp;(Contents [i].blob), NULL) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span>            :             }</a>
+<a name="37"><span class="lineNum">      37 </span>            :         }</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          8 :         LAGraph_Free ((void **) Contents_handle, NULL) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span>            :     }</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          8 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeSet.c.func-sort-c.html b/experimental/utility/LAGraph_SFreeSet.c.func-sort-c.html
new file mode 100644
index 0000000000..6d86df5056
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeSet.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SFreeSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SFreeSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SFreeSet.c.gcov.html#19">LAGraph_SFreeSet</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeSet.c.func.html b/experimental/utility/LAGraph_SFreeSet.c.func.html
new file mode 100644
index 0000000000..d1e39124de
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeSet.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SFreeSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SFreeSet.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SFreeSet.c.gcov.html#19">LAGraph_SFreeSet</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SFreeSet.c.gcov.html b/experimental/utility/LAGraph_SFreeSet.c.gcov.html
new file mode 100644
index 0000000000..d17e70edfb
--- /dev/null
+++ b/experimental/utility/LAGraph_SFreeSet.c.gcov.html
@@ -0,0 +1,116 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SFreeSet.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SFreeSet.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SFreeSet.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SFreeSet: free a set of matrices</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">          6 : void LAGraph_SFreeSet           // free a set of matrices</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : (</a>
+<a name="23"><span class="lineNum">      23 </span>            :     // input/output</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_Matrix **Set_handle,    // array of GrB_Matrix of size nmatrices</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_Index nmatrices         // # of matrices in the set</a>
+<a name="26"><span class="lineNum">      26 </span>            : )</a>
+<a name="27"><span class="lineNum">      27 </span>            : {</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          6 :     if (Set_handle != NULL)</span></a>
+<a name="29"><span class="lineNum">      29 </span>            :     {</a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          6 :         GrB_Matrix *Set = (*Set_handle) ;</span></a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          6 :         if (Set != NULL)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            :         {</a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        106 :             for (GrB_Index i = 0 ; i &lt; nmatrices ; i++)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :             {</a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        103 :                 GrB_free (&amp;(Set [i])) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span>            :             }</a>
+<a name="37"><span class="lineNum">      37 </span>            :         }</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          6 :         LAGraph_Free ((void **) Set_handle, NULL) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span>            :     }</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          6 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SLoadSet.c.func-sort-c.html b/experimental/utility/LAGraph_SLoadSet.c.func-sort-c.html
new file mode 100644
index 0000000000..78ce7f0220
--- /dev/null
+++ b/experimental/utility/LAGraph_SLoadSet.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SLoadSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SLoadSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SLoadSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SLoadSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SLoadSet.c.gcov.html#52">LAGraph_SLoadSet</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SLoadSet.c.func.html b/experimental/utility/LAGraph_SLoadSet.c.func.html
new file mode 100644
index 0000000000..81a51027c0
--- /dev/null
+++ b/experimental/utility/LAGraph_SLoadSet.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SLoadSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SLoadSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SLoadSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SLoadSet.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SLoadSet.c.gcov.html#52">LAGraph_SLoadSet</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SLoadSet.c.gcov.html b/experimental/utility/LAGraph_SLoadSet.c.gcov.html
new file mode 100644
index 0000000000..cf4b549478
--- /dev/null
+++ b/experimental/utility/LAGraph_SLoadSet.c.gcov.html
@@ -0,0 +1,248 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SLoadSet.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SLoadSet.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SLoadSet.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SLoadSet: load a set of matrices from a *.lagraph file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAgraph_SLoadSet loads a set of GrB_Matrix objects from a *.lagraph file.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // It returns a GrB_Matrix array of size nmatrices.  In the future, it will</a>
+<a name="20"><span class="lineNum">      20 </span>            : // also return a set of GrB_Vectors, and a an array of uncompressed ascii</a>
+<a name="21"><span class="lineNum">      21 </span>            : // texts.  The caller is responsible for freeing the output of this method,</a>
+<a name="22"><span class="lineNum">      22 </span>            : // via:</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //      LAGraph_Free ((void **) &amp;collection, NULL) ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : //      LAGraph_SFreeSet (&amp;Set, nmatrices) ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // See also LAGraph_SRead, which just reads in the serialized objects and</a>
+<a name="28"><span class="lineNum">      28 </span>            : // does not convert them to their corresponding GrB_Matrix, GrB_Vector, or</a>
+<a name="29"><span class="lineNum">      29 </span>            : // uncompressed texts.</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_WORK                                                \</a>
+<a name="34"><span class="lineNum">      34 </span>            : {                                                                   \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     if (f != NULL &amp;&amp; f != stdin) fclose (f) ;                       \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     f = NULL ;                                                      \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     LAGraph_SFreeContents (&amp;Contents, ncontents) ;                  \</a>
+<a name="38"><span class="lineNum">      38 </span>            : }</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_FREE_ALL                                                 \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                                                                   \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     LG_FREE_WORK ;                                                  \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     LAGraph_SFreeSet (&amp;Set, nmatrices) ;                            \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LAGraph_Free ((void **) &amp;collection, NULL) ;                    \</a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="48"><span class="lineNum">      48 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : // LAGraph_SLoadSet</a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          5 : int LAGraph_SLoadSet            // load a set of matrices from a *.lagraph file</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : (</a>
+<a name="56"><span class="lineNum">      56 </span>            :     // input:</a>
+<a name="57"><span class="lineNum">      57 </span>            :     char *filename,                 // name of file to read; NULL for stdin</a>
+<a name="58"><span class="lineNum">      58 </span>            :     // outputs:</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_Matrix **Set_handle,        // array of GrB_Matrix of size nmatrices</a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_Index *nmatrices_handle,    // # of matrices loaded from *.lagraph file</a>
+<a name="61"><span class="lineNum">      61 </span>            : //  todo: handle vectors and text in LAGraph_SLoadSet</a>
+<a name="62"><span class="lineNum">      62 </span>            : //  GrB_Vector **Set_handle,        // array of GrB_Vector of size nvector</a>
+<a name="63"><span class="lineNum">      63 </span>            : //  GrB_Index **nvectors_handle,    // # of vectors loaded from *.lagraph file</a>
+<a name="64"><span class="lineNum">      64 </span>            : //  char **Text_handle,             // array of pointers to (char *) strings</a>
+<a name="65"><span class="lineNum">      65 </span>            : //  GrB_Index **ntext_handle,       // # of texts loaded from *.lagraph file</a>
+<a name="66"><span class="lineNum">      66 </span>            :     char **collection_handle,       // name of this collection of matrices</a>
+<a name="67"><span class="lineNum">      67 </span>            :     char *msg</a>
+<a name="68"><span class="lineNum">      68 </span>            : )</a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // check inputs</a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          5 :     LG_CLEAR_MSG ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          5 :     FILE *f = stdin ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          5 :     char *collection = NULL ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          5 :     GrB_Matrix *Set = NULL ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :     LAGraph_Contents *Contents = NULL ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          5 :     GrB_Index ncontents = 0 ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :     GrB_Index nmatrices = 0 ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : //  GrB_Index nvectors = 0 ;</a>
+<a name="83"><span class="lineNum">      83 </span>            : //  GrB_Index ntexts = 0 ;</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :     LG_ASSERT (Set_handle != NULL &amp;&amp; nmatrices_handle != NULL</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         &amp;&amp; collection_handle != NULL, GrB_NULL_POINTER) ;</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="89"><span class="lineNum">      89 </span>            :     // read the file</a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          4 :     if (filename != NULL)</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     {</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          4 :         f = fopen (filename, &quot;rb&quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          4 :         LG_ASSERT_MSG (f != NULL,</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :             LAGRAPH_IO_ERROR, &quot;unable to open input file&quot;) ;</a>
+<a name="97"><span class="lineNum">      97 </span>            :     }</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          3 :     LG_TRY (LAGraph_SRead (f, &amp;collection, &amp;Contents, &amp;ncontents, msg)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          2 :     if (filename != NULL)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          2 :         fclose (f) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            :     }</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          2 :     f = NULL ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            :     // count the matrices/vectors/texts in the Contents</a>
+<a name="107"><span class="lineNum">     107 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // todo: for now, all Contents are matrices</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          2 :     nmatrices = ncontents ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            : #if 0</a>
+<a name="113"><span class="lineNum">     113 </span>            :     for (GrB_Index i = 0 ; i &lt; ncontents ; i++)</a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span>            :         switch (Contents [i].kind)</a>
+<a name="116"><span class="lineNum">     116 </span>            :         {</a>
+<a name="117"><span class="lineNum">     117 </span>            :             case LAGraph_matrix_kind : nmatrices++ ; break ;</a>
+<a name="118"><span class="lineNum">     118 </span>            :             case LAGraph_vector_kind : nvectors++  ; break ;</a>
+<a name="119"><span class="lineNum">     119 </span>            :             case LAGraph_text_kind   : ntexts++    ; break ;</a>
+<a name="120"><span class="lineNum">     120 </span>            :             default : LG_ASSERT_MSG (false, GrB_INVALID_VALUE, &quot;unknown kind&quot;) ;</a>
+<a name="121"><span class="lineNum">     121 </span>            :         }</a>
+<a name="122"><span class="lineNum">     122 </span>            :     }</a>
+<a name="123"><span class="lineNum">     123 </span>            :     if (nvectors &gt; 0 || ntexts &gt; 0)</a>
+<a name="124"><span class="lineNum">     124 </span>            :     {</a>
+<a name="125"><span class="lineNum">     125 </span>            :         // todo: handle vectors and texts</a>
+<a name="126"><span class="lineNum">     126 </span>            :         printf (&quot;Warning: %lu vectors and %lu texts ignored\n&quot;,</a>
+<a name="127"><span class="lineNum">     127 </span>            :             nvectors, ntexts) ;</a>
+<a name="128"><span class="lineNum">     128 </span>            :     }</a>
+<a name="129"><span class="lineNum">     129 </span>            : #endif</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="132"><span class="lineNum">     132 </span>            :     // convert all the matrices (skip vectors and text content for now)</a>
+<a name="133"><span class="lineNum">     133 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          2 :     LG_TRY (LAGraph_Calloc ((void **) &amp;Set, nmatrices, sizeof (GrB_Matrix),</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :         msg)) ;</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          2 :     GrB_Index kmatrices = 0 ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         54 :     for (GrB_Index i = 0 ; i &lt; ncontents ; i++)</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :     {</a>
+<a name="141"><span class="lineNum">     141 </span>            :         // convert Contents [i]</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         52 :         void *blob = Contents [i].blob ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         52 :         size_t blob_size = Contents [i].blob_size ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         52 :         if (Contents [i].kind == LAGraph_matrix_kind)</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :         {</a>
+<a name="147"><span class="lineNum">     147 </span>            :             // convert Contents [i].typename to a GrB_Type ctype.</a>
+<a name="148"><span class="lineNum">     148 </span>            :             // SuiteSparse:GraphBLAS allows this to be NULL for built-in types.</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         52 :             GrB_Type ctype = NULL ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         52 :             LG_TRY (LAGraph_TypeFromName (&amp;ctype, Contents [i].type_name, msg));</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         52 :             GRB_TRY (GrB_Matrix_deserialize (&amp;(Set [kmatrices]), ctype, blob,</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :                 blob_size)) ;</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         52 :             kmatrices++ ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :         }</a>
+<a name="155"><span class="lineNum">     155 </span>            :         // todo: handle vectors and texts</a>
+<a name="156"><span class="lineNum">     156 </span>            :         // else if (Content [i].kind == LAGraph_vector_kind) ...</a>
+<a name="157"><span class="lineNum">     157 </span>            :         // else if (Content [i].kind == LAGraph_text_kind) ...</a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :         // free the ith blob</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         52 :         LAGraph_Free ((void **) &amp;(Contents [i].blob), NULL) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :     }</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // free workspace and return result</a>
+<a name="165"><span class="lineNum">     165 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          2 :     LG_FREE_WORK ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          2 :     (*Set_handle) = Set ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          2 :     (*collection_handle) = collection ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          2 :     (*nmatrices_handle) = nmatrices ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          2 :     return (GrB_SUCCESS) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SRead.c.func-sort-c.html b/experimental/utility/LAGraph_SRead.c.func-sort-c.html
new file mode 100644
index 0000000000..9b69e93a3d
--- /dev/null
+++ b/experimental/utility/LAGraph_SRead.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SRead.c<span style="font-size: 80%;"> (<a href="LAGraph_SRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SRead.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SRead.c.gcov.html#98">LAGraph_SRead</a></td>
+              <td class="coverFnHi">208</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SRead.c.gcov.html#58">get_int_array_3</a></td>
+              <td class="coverFnHi">416</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SRead.c.func.html b/experimental/utility/LAGraph_SRead.c.func.html
new file mode 100644
index 0000000000..4ceef3edeb
--- /dev/null
+++ b/experimental/utility/LAGraph_SRead.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SRead.c<span style="font-size: 80%;"> (<a href="LAGraph_SRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SRead.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SRead.c.gcov.html#98">LAGraph_SRead</a></td>
+              <td class="coverFnHi">208</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SRead.c.gcov.html#58">get_int_array_3</a></td>
+              <td class="coverFnHi">416</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SRead.c.gcov.html b/experimental/utility/LAGraph_SRead.c.gcov.html
new file mode 100644
index 0000000000..a8fede9e66
--- /dev/null
+++ b/experimental/utility/LAGraph_SRead.c.gcov.html
@@ -0,0 +1,450 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SRead.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SRead.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SRead.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntry">117</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SRead: read a sequence of serialized objects from a file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_SRead reads a set of serialized items from a file. The items are</a>
+<a name="19"><span class="lineNum">      19 </span>            : // returned as-is and not converted into GrB_Matrix, GrB_Vector, or text</a>
+<a name="20"><span class="lineNum">      20 </span>            : // objects.  The user application is responsible for freeing the output of this</a>
+<a name="21"><span class="lineNum">      21 </span>            : // method, via:</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : //      LAGraph_Free ((void **) &amp;collection, NULL) ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : //      LAGraph_SFreeContents (&amp;Contents, ncontents) ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : // See also LAGraph_SLoadSet, which calls this function and then converts all</a>
+<a name="27"><span class="lineNum">      27 </span>            : // serialized objects into their GrB_Matrix, GrB_Vector, or text components.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="32"><span class="lineNum">      32 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : // json.h: JSON parser</a>
+<a name="36"><span class="lineNum">      36 </span>            : //------------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #include &quot;json.h&quot;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : typedef struct json_value_s  *json_val ;</a>
+<a name="41"><span class="lineNum">      41 </span>            : typedef struct json_object_s *json_obj ; // { json_o start; size length }</a>
+<a name="42"><span class="lineNum">      42 </span>            : typedef struct json_array_s  *json_arr ; // { json_a start; size length }</a>
+<a name="43"><span class="lineNum">      43 </span>            : typedef struct json_string_s *json_str ; // { char *string; size string_size }</a>
+<a name="44"><span class="lineNum">      44 </span>            : typedef struct json_number_s *json_num ; // { char *number; size number_size }</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : // object element: { char *name; json_val value ; json_o next }</a>
+<a name="47"><span class="lineNum">      47 </span>            : typedef struct json_object_element_s *json_o ;</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : // array element:  {             json_val value ; json_a next }</a>
+<a name="50"><span class="lineNum">      50 </span>            : typedef struct json_array_element_s  *json_a ;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : #define STRMATCH(s,t) (strcmp (s,t) == 0)</a>
+<a name="53"><span class="lineNum">      53 </span>            : #define OK(ok) LG_ASSERT_MSG (ok, LAGRAPH_IO_ERROR, &quot;invalid file&quot;)</a>
+<a name="54"><span class="lineNum">      54 </span>            : #define VER(major,minor,sub) (((major)*1000ULL + (minor))*1000ULL + (sub))</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : // get_int_array_3: get an int array of size 3 from the JSON header</a>
+<a name="58"><span class="lineNum">      58 </span>            : //------------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">        416 : static int get_int_array_3 (json_arr arr, int *x, char *msg)</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : {</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        416 :     OK (arr != NULL) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        416 :     OK (x != NULL) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        416 :     OK (arr-&gt;length == 3) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        416 :     json_a a = arr-&gt;start ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">        416 :     json_num num = json_value_as_number (a-&gt;value) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">        416 :     OK (num != NULL) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        416 :     x [0] = (int) strtol (num-&gt;number, NULL, 0) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        416 :     a = a-&gt;next ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        416 :     num = json_value_as_number (a-&gt;value) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">        416 :     OK (num != NULL) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">        416 :     x [1] = (int) strtol (num-&gt;number, NULL, 0) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        416 :     a = a-&gt;next ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">        416 :     num = json_value_as_number (a-&gt;value) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        416 :     OK (num != NULL) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        416 :     x [2] = (int) strtol (num-&gt;number, NULL, 0) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        416 :     return (GrB_SUCCESS) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : }</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            : //------------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : // LAGraph_SRead</a>
+<a name="82"><span class="lineNum">      82 </span>            : //------------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            : #undef  LG_FREE_WORK</a>
+<a name="85"><span class="lineNum">      85 </span>            : #define LG_FREE_WORK                                    \</a>
+<a name="86"><span class="lineNum">      86 </span>            : {                                                       \</a>
+<a name="87"><span class="lineNum">      87 </span>            :     if (root != NULL) { free (root) ; }                 \</a>
+<a name="88"><span class="lineNum">      88 </span>            :     root = NULL ;                                       \</a>
+<a name="89"><span class="lineNum">      89 </span>            :     LAGraph_Free ((void **) &amp;json_string, NULL) ;       \</a>
+<a name="90"><span class="lineNum">      90 </span>            : }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            : #undef  LG_FREE_ALL</a>
+<a name="93"><span class="lineNum">      93 </span>            : #define LG_FREE_ALL                                     \</a>
+<a name="94"><span class="lineNum">      94 </span>            : {                                                       \</a>
+<a name="95"><span class="lineNum">      95 </span>            :     LG_FREE_WORK ;                                      \</a>
+<a name="96"><span class="lineNum">      96 </span>            :     LAGraph_Free ((void **) &amp;collection, NULL) ;        \</a>
+<a name="97"><span class="lineNum">      97 </span>            :     LAGraph_SFreeContents (&amp;Contents, ncontents) ;      \</a>
+<a name="98"><span class="lineNum">      98 </span>            : }</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        208 : int LAGraph_SRead   // read a set of matrices from a *.lagraph file</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : (</a>
+<a name="102"><span class="lineNum">     102 </span>            :     FILE *f,                            // file to read from</a>
+<a name="103"><span class="lineNum">     103 </span>            :     // output</a>
+<a name="104"><span class="lineNum">     104 </span>            :     char **collection_handle,           // name of collection</a>
+<a name="105"><span class="lineNum">     105 </span>            :     LAGraph_Contents **Contents_handle, // array of contents</a>
+<a name="106"><span class="lineNum">     106 </span>            :     GrB_Index *ncontents_handle,        // # of items in the Contents array</a>
+<a name="107"><span class="lineNum">     107 </span>            :     char *msg</a>
+<a name="108"><span class="lineNum">     108 </span>            : )</a>
+<a name="109"><span class="lineNum">     109 </span>            : {</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            :     // check inputs</a>
+<a name="113"><span class="lineNum">     113 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">        208 :     LG_CLEAR_MSG ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        208 :     char *json_string = NULL ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">        208 :     json_val root = NULL ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">        208 :     char *collection = NULL ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        208 :     LAGraph_Contents *Contents = NULL ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        208 :     GrB_Index ncontents = 0 ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        208 :     LG_ASSERT (collection_handle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        208 :     LG_ASSERT (Contents_handle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">        208 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">        208 :     LG_ASSERT (ncontents_handle != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">        208 :     (*collection_handle) = NULL ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">        208 :     (*Contents_handle) = NULL ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">        208 :     (*ncontents_handle) = 0 ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            :     // load in a json string from the file</a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">        208 :     size_t s = 256, k = 0 ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">        208 :     LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;json_string, s, sizeof (char),</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :         msg)) ;</a>
+<a name="137"><span class="lineNum">     137 </span>            :     while (true)</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">      43028 :     {</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">      43236 :         if (k == s)</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :         {</a>
+<a name="141"><span class="lineNum">     141 </span>            :             // json_string is full; double its size</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          4 :             LG_TRY (LAGraph_Realloc ((void **) &amp;json_string, 2*s, s,</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :                 sizeof (char), msg)) ;</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          4 :             s = 2*s ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :         }</a>
+<a name="146"><span class="lineNum">     146 </span>            :         // get the next character from the file</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">      43236 :         int c = fgetc (f) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">      43236 :         if (c == EOF || c == '\0')</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :         {</a>
+<a name="150"><span class="lineNum">     150 </span>            :             // end of the JSON string; remainder is matrix/vector/text data</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        208 :             json_string [k] = '\0' ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        208 :             break ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :         }</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">      43028 :         json_string [k++] = (char) c ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :     }</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="158"><span class="lineNum">     158 </span>            :     // parse the json string and free it</a>
+<a name="159"><span class="lineNum">     159 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">        208 :     root = json_parse (json_string, k) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        208 :     LG_ASSERT (root != NULL, GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        208 :     LAGraph_Free ((void **) &amp;json_string, NULL) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="166"><span class="lineNum">     166 </span>            :     // process the JSON header</a>
+<a name="167"><span class="lineNum">     167 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">        208 :     json_obj obj = json_value_as_object (root) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">        208 :     json_o o = obj-&gt;start ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">        208 :     json_a a = NULL ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">        208 :     json_arr arr = NULL ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">        208 :     json_str str = NULL ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            :     // check LAGraph version</a>
+<a name="177"><span class="lineNum">     177 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        208 :     arr = json_value_as_array (o-&gt;value) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :     int lagraph_version [3] ;</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">        208 :     int result = get_int_array_3 (arr, lagraph_version, msg) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        208 :     OK (result == GrB_SUCCESS) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">        208 :     OK (VER (lagraph_version [0], lagraph_version [1], lagraph_version [2])</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :      &lt;= VER (LAGRAPH_VERSION_MAJOR, LAGRAPH_VERSION_MINOR,</a>
+<a name="185"><span class="lineNum">     185 </span>            :              LAGRAPH_VERSION_UPDATE)) ;</a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            :     // check GraphBLAS library name and version</a>
+<a name="189"><span class="lineNum">     189 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">        208 :     o = o-&gt;next ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        208 :     OK (STRMATCH (o-&gt;name-&gt;string, &quot;GraphBLAS&quot;)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        208 :     arr = json_value_as_array (o-&gt;value) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">        208 :     OK (arr-&gt;length == 2) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        208 :     a = arr-&gt;start ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">        208 :     str = json_value_as_string (a-&gt;value) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">        208 :     OK (STRMATCH (str-&gt;string, &quot;SuiteSparse:GraphBLAS&quot;)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :     #else</a>
+<a name="200"><span class="lineNum">     200 </span>            :     OK (STRMATCH (str-&gt;string, &quot;vanilla&quot;)) ;</a>
+<a name="201"><span class="lineNum">     201 </span>            :     #endif</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">        208 :     a = a-&gt;next ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">        208 :     arr = json_value_as_array (a-&gt;value) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span>            :     int graphblas_version [3] ;</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">        208 :     result = get_int_array_3 (arr, graphblas_version, msg) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">        208 :     OK (result == GrB_SUCCESS) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        208 :     uint64_t library_version =</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        208 :         VER (graphblas_version [0],</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :              graphblas_version [1],</a>
+<a name="211"><span class="lineNum">     211 </span>            :              graphblas_version [2]) ;</a>
+<a name="212"><span class="lineNum">     212 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">        208 :     OK (library_version &lt;= GxB_IMPLEMENTATION) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :     #else</a>
+<a name="215"><span class="lineNum">     215 </span>            :     OK (library_version &lt;= VER (1,0,0)) ;</a>
+<a name="216"><span class="lineNum">     216 </span>            :     #endif</a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="219"><span class="lineNum">     219 </span>            :     // get the contents and the name of the collection</a>
+<a name="220"><span class="lineNum">     220 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">        208 :     o = o-&gt;next ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">        208 :     OK (o-&gt;value-&gt;type == json_type_array) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">        208 :     size_t len = o-&gt;name-&gt;string_size ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">        208 :     LG_TRY (LAGraph_Calloc ((void **) &amp;collection, len+1, sizeof (char), msg)) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">        208 :     strncpy (collection, o-&gt;name-&gt;string, len) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="229"><span class="lineNum">     229 </span>            :     // iterate over the contents</a>
+<a name="230"><span class="lineNum">     230 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">        208 :     arr = json_value_as_array (o-&gt;value) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">        208 :     OK (arr != NULL) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">        208 :     a = arr-&gt;start ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">        208 :     len = arr-&gt;length ;</span></a>
+<a name="236"><span class="lineNum">     236 </span>            :     // allocate an Contents array of size len to hold the contents</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">        208 :     LG_TRY (LAGraph_Calloc ((void **) &amp;Contents, len, sizeof (LAGraph_Contents),</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :         msg)) ;</a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">        464 :     for (int i = 0 ; i &lt; len &amp;&amp; a != NULL ; i++, a = a-&gt;next)</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :     {</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            :         //----------------------------------------------------------------------</a>
+<a name="244"><span class="lineNum">     244 </span>            :         // get the next item</a>
+<a name="245"><span class="lineNum">     245 </span>            :         //----------------------------------------------------------------------</a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        464 :         if (a-&gt;value-&gt;type == json_type_null) break ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        258 :         ncontents++ ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">        258 :         LAGraph_Contents *Item = &amp;(Contents [i]) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">        258 :         OK (a != NULL) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">        258 :         OK (a-&gt;value-&gt;type == json_type_object) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">        258 :         json_obj obj = json_value_as_object (a-&gt;value) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">        258 :         OK (obj != NULL) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">        258 :         json_o o = obj-&gt;start ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">        258 :         OK (o != NULL) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">        258 :         OK (o-&gt;value-&gt;type == json_type_string) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">        258 :         int len = obj-&gt;length ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">        258 :         OK (len == 3) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span>            :         //----------------------------------------------------------------------</a>
+<a name="261"><span class="lineNum">     261 </span>            :         // parse the item kind: matrix, vector, or ascii text</a>
+<a name="262"><span class="lineNum">     262 </span>            :         //----------------------------------------------------------------------</a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">        258 :         if (STRMATCH (o-&gt;name-&gt;string, &quot;GrB_Matrix&quot;))</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :         {</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">        256 :             Item-&gt;kind = LAGraph_matrix_kind ;</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :         }</a>
+<a name="268"><span class="lineNum">     268 </span>            : #if 0</a>
+<a name="269"><span class="lineNum">     269 </span>            :         // todo: handle vectors and text</a>
+<a name="270"><span class="lineNum">     270 </span>            :         else if (STRMATCH (o-&gt;name-&gt;string, &quot;GrB_Vector&quot;))</a>
+<a name="271"><span class="lineNum">     271 </span>            :         {</a>
+<a name="272"><span class="lineNum">     272 </span>            :             Item-&gt;kind = LAGraph_vector_kind ;</a>
+<a name="273"><span class="lineNum">     273 </span>            :         }</a>
+<a name="274"><span class="lineNum">     274 </span>            :         else if (STRMATCH (o-&gt;name-&gt;string, &quot;text&quot;))</a>
+<a name="275"><span class="lineNum">     275 </span>            :         {</a>
+<a name="276"><span class="lineNum">     276 </span>            :             Item-&gt;kind = LAGraph_text_kind ;</a>
+<a name="277"><span class="lineNum">     277 </span>            :         }</a>
+<a name="278"><span class="lineNum">     278 </span>            : #endif</a>
+<a name="279"><span class="lineNum">     279 </span>            :         else</a>
+<a name="280"><span class="lineNum">     280 </span>            :         {</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          2 :             Item-&gt;kind = LAGraph_unknown_kind ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          2 :             OK (false) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :         }</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :         //----------------------------------------------------------------------</a>
+<a name="286"><span class="lineNum">     286 </span>            :         // parse the item name</a>
+<a name="287"><span class="lineNum">     287 </span>            :         //----------------------------------------------------------------------</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">        256 :         json_str str = json_value_as_string (o-&gt;value) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">        256 :         strncpy (Item-&gt;name, str-&gt;string, LAGRAPH_MAX_NAME_LEN) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">        256 :         Item-&gt;name [LAGRAPH_MAX_NAME_LEN+1] = '\0' ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">        256 :         OK (str != NULL) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">        256 :         o = o-&gt;next ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">        256 :         str = json_value_as_string (o-&gt;value) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        256 :         OK (str != NULL) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span>            :         //----------------------------------------------------------------------</a>
+<a name="298"><span class="lineNum">     298 </span>            :         // parse the text compression method, or matrix/vector type</a>
+<a name="299"><span class="lineNum">     299 </span>            :         //----------------------------------------------------------------------</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            : #if 0</a>
+<a name="302"><span class="lineNum">     302 </span>            :         // todo: handle text, with optional compression</a>
+<a name="303"><span class="lineNum">     303 </span>            :         if (Item-&gt;kind == LAGraph_text_kind)</a>
+<a name="304"><span class="lineNum">     304 </span>            :         {</a>
+<a name="305"><span class="lineNum">     305 </span>            :             // text, uncompressed or compressed</a>
+<a name="306"><span class="lineNum">     306 </span>            :             int c ;</a>
+<a name="307"><span class="lineNum">     307 </span>            :             if      (STRMATCH (str-&gt;string, &quot;none&quot;   )) c = -1 ;</a>
+<a name="308"><span class="lineNum">     308 </span>            :             else if (STRMATCH (str-&gt;string, &quot;default&quot;)) c = 0 ;</a>
+<a name="309"><span class="lineNum">     309 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4&quot;    )) c = 1000 ;</a>
+<a name="310"><span class="lineNum">     310 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:0&quot;)) c = 2000 ;</a>
+<a name="311"><span class="lineNum">     311 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:1&quot;)) c = 2001 ;</a>
+<a name="312"><span class="lineNum">     312 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:2&quot;)) c = 2002 ;</a>
+<a name="313"><span class="lineNum">     313 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:3&quot;)) c = 2003 ;</a>
+<a name="314"><span class="lineNum">     314 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:4&quot;)) c = 2004 ;</a>
+<a name="315"><span class="lineNum">     315 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:5&quot;)) c = 2005 ;</a>
+<a name="316"><span class="lineNum">     316 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:6&quot;)) c = 2006 ;</a>
+<a name="317"><span class="lineNum">     317 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:7&quot;)) c = 2007 ;</a>
+<a name="318"><span class="lineNum">     318 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:8&quot;)) c = 2008 ;</a>
+<a name="319"><span class="lineNum">     319 </span>            :             else if (STRMATCH (str-&gt;string, &quot;lz4hc:9&quot;)) c = 2009 ;</a>
+<a name="320"><span class="lineNum">     320 </span>            :             else OK (false) ;</a>
+<a name="321"><span class="lineNum">     321 </span>            :             Item-&gt;type_name [0] = '\0' ;    // or set to &quot;char&quot;?</a>
+<a name="322"><span class="lineNum">     322 </span>            :             Item-&gt;compression = c ;</a>
+<a name="323"><span class="lineNum">     323 </span>            :         }</a>
+<a name="324"><span class="lineNum">     324 </span>            :         else</a>
+<a name="325"><span class="lineNum">     325 </span>            : #endif</a>
+<a name="326"><span class="lineNum">     326 </span>            :         {</a>
+<a name="327"><span class="lineNum">     327 </span>            :             // serialized matrix or vector</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">        256 :             strncpy (Item-&gt;type_name, str-&gt;string, LAGRAPH_MAX_NAME_LEN) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">        256 :             Item-&gt;type_name [LAGRAPH_MAX_NAME_LEN+1] = '\0' ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        256 :             Item-&gt;compression = 0 ;</span></a>
+<a name="331"><span class="lineNum">     331 </span>            :         }</a>
+<a name="332"><span class="lineNum">     332 </span>            : </a>
+<a name="333"><span class="lineNum">     333 </span>            :         //----------------------------------------------------------------------</a>
+<a name="334"><span class="lineNum">     334 </span>            :         // parse the item size</a>
+<a name="335"><span class="lineNum">     335 </span>            :         //----------------------------------------------------------------------</a>
+<a name="336"><span class="lineNum">     336 </span>            : </a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">        256 :         o = o-&gt;next ;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">        256 :         json_num num = json_value_as_number (o-&gt;value) ;</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">        256 :         OK (num != NULL) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">        256 :         Item-&gt;blob_size = (GrB_Index) strtoll (num-&gt;number, NULL, 0) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            :         //----------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            :         // allocate the blob and read it from the file</a>
+<a name="344"><span class="lineNum">     344 </span>            :         //----------------------------------------------------------------------</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        256 :         LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;(Item-&gt;blob), Item-&gt;blob_size,</span></a>
+<a name="347"><span class="lineNum">     347 </span>            :             sizeof (uint8_t), msg)) ;</a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">        256 :         size_t bytes_read = fread (Item-&gt;blob, sizeof (uint8_t),</span></a>
+<a name="349"><span class="lineNum">     349 </span>            :             Item-&gt;blob_size, f) ;</a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">        256 :         OK (bytes_read == Item-&gt;blob_size) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span>            :     }</a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span>            :     // todo: optional components will be needed for matrices from</a>
+<a name="354"><span class="lineNum">     354 </span>            :     // sparse.tamu.edu (matrix id, author, editor, title, etc)</a>
+<a name="355"><span class="lineNum">     355 </span>            : #if 0</a>
+<a name="356"><span class="lineNum">     356 </span>            :     // optional components</a>
+<a name="357"><span class="lineNum">     357 </span>            :     o = o-&gt;next ;</a>
+<a name="358"><span class="lineNum">     358 </span>            :     while (o != NULL)</a>
+<a name="359"><span class="lineNum">     359 </span>            :     {</a>
+<a name="360"><span class="lineNum">     360 </span>            :         printf (&quot;other: [%s]\n&quot;, o-&gt;name-&gt;string) ;</a>
+<a name="361"><span class="lineNum">     361 </span>            :         o = o-&gt;next ;</a>
+<a name="362"><span class="lineNum">     362 </span>            :     }</a>
+<a name="363"><span class="lineNum">     363 </span>            : #endif</a>
+<a name="364"><span class="lineNum">     364 </span>            : </a>
+<a name="365"><span class="lineNum">     365 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="366"><span class="lineNum">     366 </span>            :     // free workspace and return result</a>
+<a name="367"><span class="lineNum">     367 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="368"><span class="lineNum">     368 </span>            : </a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">        206 :     LG_FREE_WORK  ;</span></a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">        206 :     (*collection_handle) = collection ;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">        206 :     (*Contents_handle) = Contents ;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">        206 :     (*ncontents_handle) = ncontents ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">        206 :     return (GrB_SUCCESS) ;</span></a>
+<a name="374"><span class="lineNum">     374 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SSaveSet.c.func-sort-c.html b/experimental/utility/LAGraph_SSaveSet.c.func-sort-c.html
new file mode 100644
index 0000000000..d13539b7e0
--- /dev/null
+++ b/experimental/utility/LAGraph_SSaveSet.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SSaveSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SSaveSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SSaveSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SSaveSet.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SSaveSet.c.gcov.html#49">LAGraph_SSaveSet</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SSaveSet.c.func.html b/experimental/utility/LAGraph_SSaveSet.c.func.html
new file mode 100644
index 0000000000..6de52a5044
--- /dev/null
+++ b/experimental/utility/LAGraph_SSaveSet.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SSaveSet.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SSaveSet.c<span style="font-size: 80%;"> (<a href="LAGraph_SSaveSet.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SSaveSet.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SSaveSet.c.gcov.html#49">LAGraph_SSaveSet</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SSaveSet.c.gcov.html b/experimental/utility/LAGraph_SSaveSet.c.gcov.html
new file mode 100644
index 0000000000..a29348db9e
--- /dev/null
+++ b/experimental/utility/LAGraph_SSaveSet.c.gcov.html
@@ -0,0 +1,222 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SSaveSet.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SSaveSet.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SSaveSet.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SSaveSet: save a set of matrices to a *.lagraph file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_SSaveSet saves a set of matrices to a *.lagraph file.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // The file is created, written to with the JSON header and the serialized</a>
+<a name="20"><span class="lineNum">      20 </span>            : // matrices, and then closed.  If using SuiteSparse:GraphBLAS, the highest</a>
+<a name="21"><span class="lineNum">      21 </span>            : // level of compression is used (LZ4HC:9).</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // Use LAGraph_SSLoadSet to load the matrices back in from the file.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // This method will not work without SuiteSparse:GraphBLAS, because the C API</a>
+<a name="26"><span class="lineNum">      26 </span>            : // has no GrB* method for querying the GrB_Type (or its name as a string) of a</a>
+<a name="27"><span class="lineNum">      27 </span>            : // matrix.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #define LG_FREE_WORK                                \</a>
+<a name="32"><span class="lineNum">      32 </span>            : {                                                   \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     fclose (f) ;                                    \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     f = NULL ;                                      \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;desc) ;                              \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     LAGraph_SFreeContents (&amp;Contents, nmatrices) ;  \</a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : #define LG_FREE_ALL                                 \</a>
+<a name="40"><span class="lineNum">      40 </span>            : {                                                   \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     LG_FREE_WORK ;                                  \</a>
+<a name="42"><span class="lineNum">      42 </span>            : }</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="45"><span class="lineNum">      45 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : // LAGraph_SSaveSet</a>
+<a name="49"><span class="lineNum">      49 </span>            : //------------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 : int LAGraph_SSaveSet            // save a set of matrices from a *.lagraph file</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : (</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // inputs:</a>
+<a name="54"><span class="lineNum">      54 </span>            :     char *filename,             // name of file to write to</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Matrix *Set,            // array of GrB_Matrix of size nmatrices</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_Index nmatrices,        // # of matrices to write to *.lagraph file</a>
+<a name="57"><span class="lineNum">      57 </span>            :     char *collection,           // name of this collection of matrices</a>
+<a name="58"><span class="lineNum">      58 </span>            :     char *msg</a>
+<a name="59"><span class="lineNum">      59 </span>            : )</a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            :     // check inputs</a>
+<a name="64"><span class="lineNum">      64 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     LG_CLEAR_MSG ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     FILE *f = NULL ;</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     LAGraph_Contents *Contents = NULL ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     GrB_Descriptor desc = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     LG_ASSERT (filename != NULL &amp;&amp; Set != NULL &amp;&amp; collection != NULL,</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :         GrB_NULL_POINTER) ;</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     GRB_TRY (GrB_Descriptor_new (&amp;desc)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     GRB_TRY (GxB_set (desc, GxB_COMPRESSION, GxB_COMPRESSION_LZ4HC + 9)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :     #endif</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     f = fopen (filename, &quot;wb&quot;) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     LG_ASSERT_MSG (f != NULL, -1001, &quot;unable to create output file&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            :     // serialize all the matrices</a>
+<a name="85"><span class="lineNum">      85 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     // allocate an Contents array of size nmatrices to hold the contents</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 :     LG_TRY (LAGraph_Calloc ((void **) &amp;Contents, nmatrices,</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :         sizeof (LAGraph_Contents), msg)) ;</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         52 :     for (GrB_Index i = 0 ; i &lt; nmatrices ; i++)</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     {</a>
+<a name="93"><span class="lineNum">      93 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="94"><span class="lineNum">      94 </span>            :         {</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         51 :             GRB_TRY (GxB_Matrix_serialize (&amp;(Contents [i].blob),</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :                 (GrB_Index *)&amp;(Contents [i].blob_size), Set [i], desc)) ;</a>
+<a name="97"><span class="lineNum">      97 </span>            :         }</a>
+<a name="98"><span class="lineNum">      98 </span>            :         #else</a>
+<a name="99"><span class="lineNum">      99 </span>            :         {</a>
+<a name="100"><span class="lineNum">     100 </span>            :             GrB_Index estimate ;</a>
+<a name="101"><span class="lineNum">     101 </span>            :             GRB_TRY (GrB_Matrix_serializeSize (&amp;estimate, Set [i])) ;</a>
+<a name="102"><span class="lineNum">     102 </span>            :             Contents [i].blob_size = estimate ;</a>
+<a name="103"><span class="lineNum">     103 </span>            :             LAGRAPH_TRY (LAGraph_Malloc ((void **) &amp;(Contents [i].blob),</a>
+<a name="104"><span class="lineNum">     104 </span>            :                 estimate, sizeof (uint8_t), msg)) ;</a>
+<a name="105"><span class="lineNum">     105 </span>            :             GRB_TRY (GrB_Matrix_serialize (Contents [i].blob,</a>
+<a name="106"><span class="lineNum">     106 </span>            :                 (GrB_Index *) &amp;(Contents [i].blob_size), Set [i])) ;</a>
+<a name="107"><span class="lineNum">     107 </span>            :             LG_TRY (LAGraph_Realloc ((void **) &amp;(Contents [i].blob),</a>
+<a name="108"><span class="lineNum">     108 </span>            :                 (size_t) Contents [i].blob_size,</a>
+<a name="109"><span class="lineNum">     109 </span>            :                 estimate, sizeof (uint8_t), msg)) ;</a>
+<a name="110"><span class="lineNum">     110 </span>            :         }</a>
+<a name="111"><span class="lineNum">     111 </span>            :         #endif</a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            :     // write the header</a>
+<a name="116"><span class="lineNum">     116 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     LG_TRY (LAGraph_SWrite_HeaderStart (f, collection, msg)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         52 :     for (GrB_Index i = 0 ; i &lt; nmatrices ; i++)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :     {</a>
+<a name="121"><span class="lineNum">     121 </span>            :         char typename [GxB_MAX_NAME_LEN] ;</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         51 :         LG_TRY (LAGraph_Matrix_TypeName (typename, Set [i], msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :         char matrix_name [256] ;</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         51 :         snprintf (matrix_name, 256, &quot;A_%&quot; PRIu64, i) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         51 :         LG_TRY (LAGraph_SWrite_HeaderItem (f, LAGraph_matrix_kind,</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :             matrix_name, typename, 0, Contents [i].blob_size, msg)) ;</a>
+<a name="127"><span class="lineNum">     127 </span>            :     }</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     LG_TRY (LAGraph_SWrite_HeaderEnd (f, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            :     // write all the blobs</a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         52 :     for (GrB_Index i = 0 ; i &lt; nmatrices ; i++)</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :     {</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         51 :         LG_TRY (LAGraph_SWrite_Item (f, Contents [i].blob,</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :             Contents [i].blob_size, msg)) ;</a>
+<a name="138"><span class="lineNum">     138 </span>            :     }</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="141"><span class="lineNum">     141 </span>            :     // free workspace and return result</a>
+<a name="142"><span class="lineNum">     142 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     LG_FREE_WORK ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     return (GrB_SUCCESS) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SWrite.c.func-sort-c.html b/experimental/utility/LAGraph_SWrite.c.func-sort-c.html
new file mode 100644
index 0000000000..013a519c6e
--- /dev/null
+++ b/experimental/utility/LAGraph_SWrite.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SWrite.c<span style="font-size: 80%;"> (<a href="LAGraph_SWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SWrite.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#138">LAGraph_SWrite_HeaderEnd</a></td>
+              <td class="coverFnHi">207</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#29">LAGraph_SWrite_HeaderStart</a></td>
+              <td class="coverFnHi">208</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#160">LAGraph_SWrite_Item</a></td>
+              <td class="coverFnHi">258</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#70">LAGraph_SWrite_HeaderItem</a></td>
+              <td class="coverFnHi">259</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SWrite.c.func.html b/experimental/utility/LAGraph_SWrite.c.func.html
new file mode 100644
index 0000000000..151f2289f4
--- /dev/null
+++ b/experimental/utility/LAGraph_SWrite.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SWrite.c<span style="font-size: 80%;"> (<a href="LAGraph_SWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SWrite.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#138">LAGraph_SWrite_HeaderEnd</a></td>
+              <td class="coverFnHi">207</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#70">LAGraph_SWrite_HeaderItem</a></td>
+              <td class="coverFnHi">259</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#29">LAGraph_SWrite_HeaderStart</a></td>
+              <td class="coverFnHi">208</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SWrite.c.gcov.html#160">LAGraph_SWrite_Item</a></td>
+              <td class="coverFnHi">258</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/LAGraph_SWrite.c.gcov.html b/experimental/utility/LAGraph_SWrite.c.gcov.html
new file mode 100644
index 0000000000..db8c62da29
--- /dev/null
+++ b/experimental/utility/LAGraph_SWrite.c.gcov.html
@@ -0,0 +1,256 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility/LAGraph_SWrite.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">experimental/utility</a> - LAGraph_SWrite.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SWrite.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SWrite: write a sequence of serialized objects to a file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define FPRINT(params)                                  \</a>
+<a name="22"><span class="lineNum">      22 </span>            : {                                                       \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     int result = fprintf params ;                       \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LG_ASSERT_MSG (result &gt;= 0, -1002, &quot;file not written&quot;) ;  \</a>
+<a name="25"><span class="lineNum">      25 </span>            : }</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGraph_SWrite_HeaderStart</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">        208 : int LAGraph_SWrite_HeaderStart  // write the first part of the JSON header</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : (</a>
+<a name="33"><span class="lineNum">      33 </span>            :     FILE *f,                    // file to write to</a>
+<a name="34"><span class="lineNum">      34 </span>            :     const char *name,           // name of this collection of matrices</a>
+<a name="35"><span class="lineNum">      35 </span>            :     char *msg</a>
+<a name="36"><span class="lineNum">      36 </span>            : )</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // check inputs</a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">        208 :     LG_CLEAR_MSG ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        208 :     LG_ASSERT (f != NULL &amp;&amp; name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            :     // write the first part of the JSON header to the file</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        206 :     FPRINT ((f, &quot;{\n    \&quot;LAGraph\&quot;: [%d,%d,%d],\n    \&quot;GraphBLAS\&quot;: [ &quot;,</span></a>
+<a name="44"><span class="lineNum">      44 </span>            :         LAGRAPH_VERSION_MAJOR, LAGRAPH_VERSION_MINOR, LAGRAPH_VERSION_UPDATE)) ;</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            :         // SuiteSparse:GraphBLAS v6.0.0 or later</a>
+<a name="49"><span class="lineNum">      49 </span>            :         char *library ;</a>
+<a name="50"><span class="lineNum">      50 </span>            :         int ver [3] ;</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">        206 :         GRB_TRY (GxB_get (GxB_LIBRARY_NAME, &amp;library)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        206 :         GRB_TRY (GxB_get (GxB_LIBRARY_VERSION, ver)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        206 :         FPRINT ((f, &quot;\&quot;%s\&quot;, [%d,%d,%d] ],\n&quot;, library,</span></a>
+<a name="54"><span class="lineNum">      54 </span>            :             ver [0], ver [1], ver [2])) ;</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            :     #else</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :         // some other GraphBLAS library: call it &quot;vanilla 1.0.0&quot;</a>
+<a name="59"><span class="lineNum">      59 </span>            :         FPRINT ((f, &quot;\&quot;%s\&quot;, [%d,%d,%d] ],\n&quot;, &quot;vanilla&quot;, 1, 0, 0)) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     #endif</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            :     // write name of this collection and start the list of items</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        206 :     FPRINT ((f, &quot;    \&quot;%s\&quot;:\n    [\n&quot;, name)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        206 :     return (GrB_SUCCESS) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : }</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            : //------------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : // LAGraph_SWrite_HeaderItem</a>
+<a name="70"><span class="lineNum">      70 </span>            : //------------------------------------------------------------------------------</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">        259 : int LAGraph_SWrite_HeaderItem   // write a single item to the JSON header</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : (</a>
+<a name="74"><span class="lineNum">      74 </span>            :     // inputs:</a>
+<a name="75"><span class="lineNum">      75 </span>            :     FILE *f,                    // file to write to</a>
+<a name="76"><span class="lineNum">      76 </span>            :     LAGraph_Contents_kind kind, // matrix, vector, or text</a>
+<a name="77"><span class="lineNum">      77 </span>            :     const char *name,           // name of the matrix/vector/text; matrices from</a>
+<a name="78"><span class="lineNum">      78 </span>            :                                 // sparse.tamu.edu use the form &quot;Group/Name&quot;</a>
+<a name="79"><span class="lineNum">      79 </span>            :     const char *type,           // name of type of the matrix/vector</a>
+<a name="80"><span class="lineNum">      80 </span>            :     // todo: vectors and text not yet supported by LAGraph_SWrite_HeaderItem</a>
+<a name="81"><span class="lineNum">      81 </span>            :     int compression,            // text compression method</a>
+<a name="82"><span class="lineNum">      82 </span>            :     GrB_Index blob_size,        // exact size of serialized blob for this item</a>
+<a name="83"><span class="lineNum">      83 </span>            :     char *msg</a>
+<a name="84"><span class="lineNum">      84 </span>            : )</a>
+<a name="85"><span class="lineNum">      85 </span>            : {</a>
+<a name="86"><span class="lineNum">      86 </span>            :     // check inputs</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        259 :     LG_CLEAR_MSG ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        259 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     // write the JSON information for this item</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        257 :     FPRINT ((f, &quot;        { \&quot;&quot;)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        257 :     switch (kind)</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     {</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        256 :         case LAGraph_matrix_kind :</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        256 :             FPRINT ((f, &quot;GrB_Matrix\&quot;: \&quot;%s\&quot;, \&quot;type\&quot;: \&quot;%s&quot;, name, type)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">        256 :             break ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            :         // todo: handle vectors and text</a>
+<a name="99"><span class="lineNum">      99 </span>            : #if 0</a>
+<a name="100"><span class="lineNum">     100 </span>            :         case LAGraph_vector_kind :</a>
+<a name="101"><span class="lineNum">     101 </span>            :             FPRINT((f, &quot;GrB_Vector\&quot;: \&quot;%s\&quot;, \&quot;type\&quot;: \&quot;%s&quot;, name, type)) ;</a>
+<a name="102"><span class="lineNum">     102 </span>            :             break ;</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :         case LAGraph_text_kind :</a>
+<a name="105"><span class="lineNum">     105 </span>            :             FPRINT ((f, &quot;text\&quot;: \&quot;%s\&quot;, \&quot;compression\&quot;: \&quot;&quot;, name)) ;</a>
+<a name="106"><span class="lineNum">     106 </span>            :             switch (compression)</a>
+<a name="107"><span class="lineNum">     107 </span>            :             {</a>
+<a name="108"><span class="lineNum">     108 </span>            :                 case -1   : FPRINT ((f, &quot;none&quot;   )) ; break ;</a>
+<a name="109"><span class="lineNum">     109 </span>            :                 case 0    : FPRINT ((f, &quot;default&quot;)) ; break ;</a>
+<a name="110"><span class="lineNum">     110 </span>            :                 case 1000 : FPRINT ((f, &quot;lz4&quot;    )) ; break ;</a>
+<a name="111"><span class="lineNum">     111 </span>            :                 case 2000 : FPRINT ((f, &quot;lz4hc:0&quot;)) ; break ;</a>
+<a name="112"><span class="lineNum">     112 </span>            :                 case 2001 : FPRINT ((f, &quot;lz4hc:1&quot;)) ; break ;</a>
+<a name="113"><span class="lineNum">     113 </span>            :                 case 2002 : FPRINT ((f, &quot;lz4hc:2&quot;)) ; break ;</a>
+<a name="114"><span class="lineNum">     114 </span>            :                 case 2003 : FPRINT ((f, &quot;lz4hc:3&quot;)) ; break ;</a>
+<a name="115"><span class="lineNum">     115 </span>            :                 case 2004 : FPRINT ((f, &quot;lz4hc:4&quot;)) ; break ;</a>
+<a name="116"><span class="lineNum">     116 </span>            :                 case 2005 : FPRINT ((f, &quot;lz4hc:5&quot;)) ; break ;</a>
+<a name="117"><span class="lineNum">     117 </span>            :                 case 2006 : FPRINT ((f, &quot;lz4hc:6&quot;)) ; break ;</a>
+<a name="118"><span class="lineNum">     118 </span>            :                 case 2007 : FPRINT ((f, &quot;lz4hc:7&quot;)) ; break ;</a>
+<a name="119"><span class="lineNum">     119 </span>            :                 case 2008 : FPRINT ((f, &quot;lz4hc:8&quot;)) ; break ;</a>
+<a name="120"><span class="lineNum">     120 </span>            :                 case 2009 : FPRINT ((f, &quot;lz4hc:9&quot;)) ; break ;</a>
+<a name="121"><span class="lineNum">     121 </span>            :                 default   : LG_ASSERT_MSG (false, GrB_INVALID_VALUE,</a>
+<a name="122"><span class="lineNum">     122 </span>            :                     &quot;invalid compression&quot;) ; break ;</a>
+<a name="123"><span class="lineNum">     123 </span>            :             }</a>
+<a name="124"><span class="lineNum">     124 </span>            :             break ;</a>
+<a name="125"><span class="lineNum">     125 </span>            : #endif</a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :         default :</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :             LG_ASSERT_MSG (false, GrB_INVALID_VALUE, &quot;invalid kind&quot;) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :             break ;</a>
+<a name="130"><span class="lineNum">     130 </span>            :     }</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">        256 :     FPRINT ((f, &quot;\&quot;, \&quot;bytes\&quot;: %&quot; PRIu64 &quot; },\n&quot;, blob_size)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">        256 :     return (GrB_SUCCESS) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : }</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            : //------------------------------------------------------------------------------</a>
+<a name="137"><span class="lineNum">     137 </span>            : // LAGraph_SWrite_HeaderEnd</a>
+<a name="138"><span class="lineNum">     138 </span>            : //------------------------------------------------------------------------------</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        207 : int LAGraph_SWrite_HeaderEnd    // write the end of the JSON header</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : (</a>
+<a name="142"><span class="lineNum">     142 </span>            :     FILE *f,                    // file to write to</a>
+<a name="143"><span class="lineNum">     143 </span>            :     char *msg</a>
+<a name="144"><span class="lineNum">     144 </span>            : )</a>
+<a name="145"><span class="lineNum">     145 </span>            : {</a>
+<a name="146"><span class="lineNum">     146 </span>            :     // check inputs</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        207 :     LG_CLEAR_MSG ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">        207 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // finalize the JSON header string</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        206 :     FPRINT ((f, &quot;        null\n    ]\n}\n&quot;)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :     // write a final zero byte to terminate the JSON string</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">        206 :     fputc (0, f) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        206 :     return (GrB_SUCCESS) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            : }</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            : //------------------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            : // LAGraph_SWrite_Item</a>
+<a name="160"><span class="lineNum">     160 </span>            : //------------------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        258 : int LAGraph_SWrite_Item  // write the serialized blob of a matrix/vector/text</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : (</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // input:</a>
+<a name="165"><span class="lineNum">     165 </span>            :     FILE *f,                // file to write to</a>
+<a name="166"><span class="lineNum">     166 </span>            :     const void *blob,       // serialized blob from G*B_Matrix_serialize</a>
+<a name="167"><span class="lineNum">     167 </span>            :     GrB_Index blob_size,    // exact size of the serialized blob</a>
+<a name="168"><span class="lineNum">     168 </span>            :     char *msg</a>
+<a name="169"><span class="lineNum">     169 </span>            : )</a>
+<a name="170"><span class="lineNum">     170 </span>            : {</a>
+<a name="171"><span class="lineNum">     171 </span>            :     // check inputs</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">        258 :     LG_CLEAR_MSG ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">        258 :     LG_ASSERT (f != NULL &amp;&amp; blob != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            :     // write the blob</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">        256 :     size_t blob_written = fwrite (blob, sizeof (uint8_t), blob_size, f) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">        256 :     LG_ASSERT_MSG (blob_written == blob_size, -1001,</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :         &quot;file not written properly&quot;) ;</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        256 :     return (GrB_SUCCESS) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/index-sort-f.html b/experimental/utility/index-sort-f.html
new file mode 100644
index 0000000000..a8a05e076a
--- /dev/null
+++ b/experimental/utility/index-sort-f.html
@@ -0,0 +1,163 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeContents.c.gcov.html">LAGraph_SFreeContents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeSet.c.gcov.html">LAGraph_SFreeSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SSaveSet.c.gcov.html">LAGraph_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">23 / 23</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SLoadSet.c.gcov.html">LAGraph_SLoadSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random_Matrix.c.gcov.html">LAGraph_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">84 / 84</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SRead.c.gcov.html">LAGraph_SRead.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">117 / 117</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SWrite.c.gcov.html">LAGraph_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random.c.gcov.html">LAGraph_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">37 / 37</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/index-sort-l.html b/experimental/utility/index-sort-l.html
new file mode 100644
index 0000000000..a66e400701
--- /dev/null
+++ b/experimental/utility/index-sort-l.html
@@ -0,0 +1,163 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeContents.c.gcov.html">LAGraph_SFreeContents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeSet.c.gcov.html">LAGraph_SFreeSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SSaveSet.c.gcov.html">LAGraph_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">23 / 23</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SWrite.c.gcov.html">LAGraph_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SLoadSet.c.gcov.html">LAGraph_SLoadSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random.c.gcov.html">LAGraph_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">37 / 37</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random_Matrix.c.gcov.html">LAGraph_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">84 / 84</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SRead.c.gcov.html">LAGraph_SRead.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">117 / 117</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/experimental/utility/index.html b/experimental/utility/index.html
new file mode 100644
index 0000000000..009abcce27
--- /dev/null
+++ b/experimental/utility/index.html
@@ -0,0 +1,163 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - experimental/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - experimental/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntry">343</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntry">17</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random.c.gcov.html">LAGraph_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">37 / 37</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Random_Matrix.c.gcov.html">LAGraph_Random_Matrix.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">84 / 84</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeContents.c.gcov.html">LAGraph_SFreeContents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SFreeSet.c.gcov.html">LAGraph_SFreeSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SLoadSet.c.gcov.html">LAGraph_SLoadSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SRead.c.gcov.html">LAGraph_SRead.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">117 / 117</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SSaveSet.c.gcov.html">LAGraph_SSaveSet.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">23 / 23</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SWrite.c.gcov.html">LAGraph_SWrite.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">33 / 33</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/gcov.css b/gcov.css
new file mode 100644
index 0000000000..bfd0a83e10
--- /dev/null
+++ b/gcov.css
@@ -0,0 +1,519 @@
+/* All views: initial background and text color */
+body
+{
+  color: #000000;
+  background-color: #FFFFFF;
+}
+
+/* All views: standard link format*/
+a:link
+{
+  color: #284FA8;
+  text-decoration: underline;
+}
+
+/* All views: standard link - visited format */
+a:visited
+{
+  color: #00CB40;
+  text-decoration: underline;
+}
+
+/* All views: standard link - activated format */
+a:active
+{
+  color: #FF0040;
+  text-decoration: underline;
+}
+
+/* All views: main title format */
+td.title
+{
+  text-align: center;
+  padding-bottom: 10px;
+  font-family: sans-serif;
+  font-size: 20pt;
+  font-style: italic;
+  font-weight: bold;
+}
+
+/* All views: header item format */
+td.headerItem
+{
+  text-align: right;
+  padding-right: 6px;
+  font-family: sans-serif;
+  font-weight: bold;
+  vertical-align: top;
+  white-space: nowrap;
+}
+
+/* All views: header item value format */
+td.headerValue
+{
+  text-align: left;
+  color: #284FA8;
+  font-family: sans-serif;
+  font-weight: bold;
+  white-space: nowrap;
+}
+
+/* All views: header item coverage table heading */
+td.headerCovTableHead
+{
+  text-align: center;
+  padding-right: 6px;
+  padding-left: 6px;
+  padding-bottom: 0px;
+  font-family: sans-serif;
+  font-size: 80%;
+  white-space: nowrap;
+}
+
+/* All views: header item coverage table entry */
+td.headerCovTableEntry
+{
+  text-align: right;
+  color: #284FA8;
+  font-family: sans-serif;
+  font-weight: bold;
+  white-space: nowrap;
+  padding-left: 12px;
+  padding-right: 4px;
+  background-color: #DAE7FE;
+}
+
+/* All views: header item coverage table entry for high coverage rate */
+td.headerCovTableEntryHi
+{
+  text-align: right;
+  color: #000000;
+  font-family: sans-serif;
+  font-weight: bold;
+  white-space: nowrap;
+  padding-left: 12px;
+  padding-right: 4px;
+  background-color: #A7FC9D;
+}
+
+/* All views: header item coverage table entry for medium coverage rate */
+td.headerCovTableEntryMed
+{
+  text-align: right;
+  color: #000000;
+  font-family: sans-serif;
+  font-weight: bold;
+  white-space: nowrap;
+  padding-left: 12px;
+  padding-right: 4px;
+  background-color: #FFEA20;
+}
+
+/* All views: header item coverage table entry for ow coverage rate */
+td.headerCovTableEntryLo
+{
+  text-align: right;
+  color: #000000;
+  font-family: sans-serif;
+  font-weight: bold;
+  white-space: nowrap;
+  padding-left: 12px;
+  padding-right: 4px;
+  background-color: #FF0000;
+}
+
+/* All views: header legend value for legend entry */
+td.headerValueLeg
+{
+  text-align: left;
+  color: #000000;
+  font-family: sans-serif;
+  font-size: 80%;
+  white-space: nowrap;
+  padding-top: 4px;
+}
+
+/* All views: color of horizontal ruler */
+td.ruler
+{
+  background-color: #6688D4;
+}
+
+/* All views: version string format */
+td.versionInfo
+{
+  text-align: center;
+  padding-top: 2px;
+  font-family: sans-serif;
+  font-style: italic;
+}
+
+/* Directory view/File view (all)/Test case descriptions:
+   table headline format */
+td.tableHead
+{
+  text-align: center;
+  color: #FFFFFF;
+  background-color: #6688D4;
+  font-family: sans-serif;
+  font-size: 120%;
+  font-weight: bold;
+  white-space: nowrap;
+  padding-left: 4px;
+  padding-right: 4px;
+}
+
+span.tableHeadSort
+{
+  padding-right: 4px;
+}
+
+/* Directory view/File view (all): filename entry format */
+td.coverFile
+{
+  text-align: left;
+  padding-left: 10px;
+  padding-right: 20px; 
+  color: #284FA8;
+  background-color: #DAE7FE;
+  font-family: monospace;
+}
+
+/* Directory view/File view (all): bar-graph entry format*/
+td.coverBar
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #DAE7FE;
+}
+
+/* Directory view/File view (all): bar-graph outline color */
+td.coverBarOutline
+{
+  background-color: #000000;
+}
+
+/* Directory view/File view (all): percentage entry for files with
+   high coverage rate */
+td.coverPerHi
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #A7FC9D;
+  font-weight: bold;
+  font-family: sans-serif;
+}
+
+/* Directory view/File view (all): line count entry for files with
+   high coverage rate */
+td.coverNumHi
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #A7FC9D;
+  white-space: nowrap;
+  font-family: sans-serif;
+}
+
+/* Directory view/File view (all): percentage entry for files with
+   medium coverage rate */
+td.coverPerMed
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #FFEA20;
+  font-weight: bold;
+  font-family: sans-serif;
+}
+
+/* Directory view/File view (all): line count entry for files with
+   medium coverage rate */
+td.coverNumMed
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #FFEA20;
+  white-space: nowrap;
+  font-family: sans-serif;
+}
+
+/* Directory view/File view (all): percentage entry for files with
+   low coverage rate */
+td.coverPerLo
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #FF0000;
+  font-weight: bold;
+  font-family: sans-serif;
+}
+
+/* Directory view/File view (all): line count entry for files with
+   low coverage rate */
+td.coverNumLo
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #FF0000;
+  white-space: nowrap;
+  font-family: sans-serif;
+}
+
+/* File view (all): "show/hide details" link format */
+a.detail:link
+{
+  color: #B8D0FF;
+  font-size:80%;
+}
+
+/* File view (all): "show/hide details" link - visited format */
+a.detail:visited
+{
+  color: #B8D0FF;
+  font-size:80%;
+}
+
+/* File view (all): "show/hide details" link - activated format */
+a.detail:active
+{
+  color: #FFFFFF;
+  font-size:80%;
+}
+
+/* File view (detail): test name entry */
+td.testName
+{
+  text-align: right;
+  padding-right: 10px;
+  background-color: #DAE7FE;
+  font-family: sans-serif;
+}
+
+/* File view (detail): test percentage entry */
+td.testPer
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px; 
+  background-color: #DAE7FE;
+  font-family: sans-serif;
+}
+
+/* File view (detail): test lines count entry */
+td.testNum
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px; 
+  background-color: #DAE7FE;
+  font-family: sans-serif;
+}
+
+/* Test case descriptions: test name format*/
+dt
+{
+  font-family: sans-serif;
+  font-weight: bold;
+}
+
+/* Test case descriptions: description table body */
+td.testDescription
+{
+  padding-top: 10px;
+  padding-left: 30px;
+  padding-bottom: 10px;
+  padding-right: 30px;
+  background-color: #DAE7FE;
+}
+
+/* Source code view: function entry */
+td.coverFn
+{
+  text-align: left;
+  padding-left: 10px;
+  padding-right: 20px; 
+  color: #284FA8;
+  background-color: #DAE7FE;
+  font-family: monospace;
+}
+
+/* Source code view: function entry zero count*/
+td.coverFnLo
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #FF0000;
+  font-weight: bold;
+  font-family: sans-serif;
+}
+
+/* Source code view: function entry nonzero count*/
+td.coverFnHi
+{
+  text-align: right;
+  padding-left: 10px;
+  padding-right: 10px;
+  background-color: #DAE7FE;
+  font-weight: bold;
+  font-family: sans-serif;
+}
+
+/* Source code view: source code format */
+pre.source
+{
+  font-family: monospace;
+  white-space: pre;
+  margin-top: 2px;
+}
+
+/* Source code view: line number format */
+span.lineNum
+{
+  background-color: #EFE383;
+}
+
+/* Source code view: format for lines which were executed */
+td.lineCov,
+span.lineCov
+{
+  background-color: #CAD7FE;
+}
+
+/* Source code view: format for Cov legend */
+span.coverLegendCov
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  padding-bottom: 2px;
+  background-color: #CAD7FE;
+}
+
+/* Source code view: format for lines which were not executed */
+td.lineNoCov,
+span.lineNoCov
+{
+  background-color: #FF6230;
+}
+
+/* Source code view: format for NoCov legend */
+span.coverLegendNoCov
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  padding-bottom: 2px;
+  background-color: #FF6230;
+}
+
+/* Source code view (function table): standard link - visited format */
+td.lineNoCov > a:visited,
+td.lineCov > a:visited
+{  
+  color: black;
+  text-decoration: underline;
+}  
+
+/* Source code view: format for lines which were executed only in a
+   previous version */
+span.lineDiffCov
+{
+  background-color: #B5F7AF;
+}
+
+/* Source code view: format for branches which were executed
+ * and taken */
+span.branchCov
+{
+  background-color: #CAD7FE;
+}
+
+/* Source code view: format for branches which were executed
+ * but not taken */
+span.branchNoCov
+{
+  background-color: #FF6230;
+}
+
+/* Source code view: format for branches which were not executed */
+span.branchNoExec
+{
+  background-color: #FF6230;
+}
+
+/* Source code view: format for the source code heading line */
+pre.sourceHeading
+{
+  white-space: pre;
+  font-family: monospace;
+  font-weight: bold;
+  margin: 0px;
+}
+
+/* All views: header legend value for low rate */
+td.headerValueLegL
+{
+  font-family: sans-serif;
+  text-align: center;
+  white-space: nowrap;
+  padding-left: 4px;
+  padding-right: 2px;
+  background-color: #FF0000;
+  font-size: 80%;
+}
+
+/* All views: header legend value for med rate */
+td.headerValueLegM
+{
+  font-family: sans-serif;
+  text-align: center;
+  white-space: nowrap;
+  padding-left: 2px;
+  padding-right: 2px;
+  background-color: #FFEA20;
+  font-size: 80%;
+}
+
+/* All views: header legend value for hi rate */
+td.headerValueLegH
+{
+  font-family: sans-serif;
+  text-align: center;
+  white-space: nowrap;
+  padding-left: 2px;
+  padding-right: 4px;
+  background-color: #A7FC9D;
+  font-size: 80%;
+}
+
+/* All views except source code view: legend format for low coverage */
+span.coverLegendCovLo
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  padding-top: 2px;
+  background-color: #FF0000;
+}
+
+/* All views except source code view: legend format for med coverage */
+span.coverLegendCovMed
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  padding-top: 2px;
+  background-color: #FFEA20;
+}
+
+/* All views except source code view: legend format for hi coverage */
+span.coverLegendCovHi
+{
+  padding-left: 10px;
+  padding-right: 10px;
+  padding-top: 2px;
+  background-color: #A7FC9D;
+}
diff --git a/glass.png b/glass.png
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diff --git a/index-sort-f.html b/index-sort-f.html
new file mode 100644
index 0000000000..5869e71c25
--- /dev/null
+++ b/index-sort-f.html
@@ -0,0 +1,143 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</title>
+  <link rel="stylesheet" type="text/css" href="gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue">top level</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Directory <span class="tableHeadSort"><a href="index.html"><img src="updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/algorithm/index.html">src/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">805 / 805</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/utility/index.html">experimental/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">343 / 343</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">17 / 17</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/test/index.html">experimental/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1702 / 1702</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">42 / 42</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/algorithm/index.html">experimental/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2057 / 2057</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">60 / 60</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/utility/index.html">src/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1725 / 1725</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">100 / 100</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/test/index.html">src/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4109 / 4109</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/index-sort-l.html b/index-sort-l.html
new file mode 100644
index 0000000000..e0e786e89b
--- /dev/null
+++ b/index-sort-l.html
@@ -0,0 +1,143 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</title>
+  <link rel="stylesheet" type="text/css" href="gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue">top level</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Directory <span class="tableHeadSort"><a href="index.html"><img src="updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/utility/index.html">experimental/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">343 / 343</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">17 / 17</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/algorithm/index.html">src/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">805 / 805</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/test/index.html">experimental/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1702 / 1702</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">42 / 42</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/utility/index.html">src/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1725 / 1725</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">100 / 100</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/algorithm/index.html">experimental/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2057 / 2057</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">60 / 60</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/test/index.html">src/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4109 / 4109</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/index.html b/index.html
new file mode 100644
index 0000000000..c9167f909c
--- /dev/null
+++ b/index.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</title>
+  <link rel="stylesheet" type="text/css" href="gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue">top level</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntry">10741</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntry">397</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Directory <span class="tableHeadSort"><img src="glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/algorithm/index.html">experimental/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2057 / 2057</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">60 / 60</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/test/index.html">experimental/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1702 / 1702</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">42 / 42</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="experimental/utility/index.html">experimental/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">343 / 343</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">17 / 17</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/algorithm/index.html">src/algorithm</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">805 / 805</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/test/index.html">src/test</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4109 / 4109</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="src/utility/index.html">src/utility</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1725 / 1725</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">100 / 100</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
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diff --git a/src/algorithm/LAGr_Betweenness.c.func-sort-c.html b/src/algorithm/LAGr_Betweenness.c.func-sort-c.html
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index 0000000000..5bd81842e5
--- /dev/null
+++ b/src/algorithm/LAGr_Betweenness.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_Betweenness.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_Betweenness.c<span style="font-size: 80%;"> (<a href="LAGr_Betweenness.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_Betweenness.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Betweenness.c.gcov.html#83">LAGr_Betweenness</a></td>
+              <td class="coverFnHi">143</td>
+            </tr>
+  </table>
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diff --git a/src/algorithm/LAGr_Betweenness.c.func.html b/src/algorithm/LAGr_Betweenness.c.func.html
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+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_Betweenness.c<span style="font-size: 80%;"> (<a href="LAGr_Betweenness.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+              <td class="coverFn"><a href="LAGr_Betweenness.c.gcov.html#83">LAGr_Betweenness</a></td>
+              <td class="coverFnHi">143</td>
+            </tr>
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diff --git a/src/algorithm/LAGr_Betweenness.c.gcov.html b/src/algorithm/LAGr_Betweenness.c.gcov.html
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_Betweenness.c</title>
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+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_Betweenness.c<span style="font-size: 80%;"> (source / <a href="LAGr_Betweenness.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntry">70</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_Betweenness: vertex betweenness-centrality</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott Kolodziej and Tim Davis, Texas A&amp;M University;</a>
+<a name="15"><span class="lineNum">      15 </span>            : // Adapted and revised from GraphBLAS C API Spec, Appendix B.4.</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // LAGr_Betweenness: Batch algorithm for computing</a>
+<a name="20"><span class="lineNum">      20 </span>            : // betweeness centrality, using push-pull optimization.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // This is an Advanced algorithm (G-&gt;AT is required).</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // This method computes an approximation of the betweenness algorithm.</a>
+<a name="25"><span class="lineNum">      25 </span>            : //                               ____</a>
+<a name="26"><span class="lineNum">      26 </span>            : //                               \      sigma(s,t | i)</a>
+<a name="27"><span class="lineNum">      27 </span>            : //    Betweenness centrality =    \    ----------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : //           of node i            /       sigma(s,t)</a>
+<a name="29"><span class="lineNum">      29 </span>            : //                               /___</a>
+<a name="30"><span class="lineNum">      30 </span>            : //                            s != i != t</a>
+<a name="31"><span class="lineNum">      31 </span>            : //</a>
+<a name="32"><span class="lineNum">      32 </span>            : // Where sigma(s,t) is the total number of shortest paths from node s to</a>
+<a name="33"><span class="lineNum">      33 </span>            : // node t, and sigma(s,t | i) is the total number of shortest paths from</a>
+<a name="34"><span class="lineNum">      34 </span>            : // node s to node t that pass through node i.</a>
+<a name="35"><span class="lineNum">      35 </span>            : //</a>
+<a name="36"><span class="lineNum">      36 </span>            : // Note that the true betweenness centrality requires computing shortest paths</a>
+<a name="37"><span class="lineNum">      37 </span>            : // from all nodes s to all nodes t (or all-pairs shortest paths), which can be</a>
+<a name="38"><span class="lineNum">      38 </span>            : // expensive to compute. By using a reasonably sized subset of source nodes, an</a>
+<a name="39"><span class="lineNum">      39 </span>            : // approximation can be made.</a>
+<a name="40"><span class="lineNum">      40 </span>            : //</a>
+<a name="41"><span class="lineNum">      41 </span>            : // This method performs simultaneous breadth-first searches of the entire graph</a>
+<a name="42"><span class="lineNum">      42 </span>            : // starting at a given set of source nodes. This pass discovers all shortest</a>
+<a name="43"><span class="lineNum">      43 </span>            : // paths from the source nodes to all other nodes in the graph.  After the BFS</a>
+<a name="44"><span class="lineNum">      44 </span>            : // is complete, the number of shortest paths that pass through a given node is</a>
+<a name="45"><span class="lineNum">      45 </span>            : // tallied by reversing the traversal. From this, the (approximate) betweenness</a>
+<a name="46"><span class="lineNum">      46 </span>            : // centrality is computed.</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : // G-&gt;A represents the graph, and G-&gt;AT must be present.  G-&gt;A must be square,</a>
+<a name="49"><span class="lineNum">      49 </span>            : // and can be unsymmetric.  Self-edges are OK.  The values of G-&gt;A and G-&gt;AT</a>
+<a name="50"><span class="lineNum">      50 </span>            : // are ignored; just the structure of two matrices are used.</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : // Each phase uses push-pull direction optimization.</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : //------------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : #define LG_FREE_WORK                            \</a>
+<a name="57"><span class="lineNum">      57 </span>            : {                                               \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_free (&amp;frontier) ;                      \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_free (&amp;paths) ;                         \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_free (&amp;bc_update) ;                     \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     GrB_free (&amp;W) ;                             \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     if (S != NULL)                              \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     {                                           \</a>
+<a name="64"><span class="lineNum">      64 </span>            :         for (int64_t i = 0 ; i &lt; n ; i++)       \</a>
+<a name="65"><span class="lineNum">      65 </span>            :         {                                       \</a>
+<a name="66"><span class="lineNum">      66 </span>            :             if (S [i] == NULL) break ;          \</a>
+<a name="67"><span class="lineNum">      67 </span>            :             GrB_free (&amp;(S [i])) ;               \</a>
+<a name="68"><span class="lineNum">      68 </span>            :         }                                       \</a>
+<a name="69"><span class="lineNum">      69 </span>            :         LAGraph_Free ((void **) &amp;S, NULL) ;     \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     }                                           \</a>
+<a name="71"><span class="lineNum">      71 </span>            : }</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="74"><span class="lineNum">      74 </span>            : {                                   \</a>
+<a name="75"><span class="lineNum">      75 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="76"><span class="lineNum">      76 </span>            :     GrB_free (centrality) ;         \</a>
+<a name="77"><span class="lineNum">      77 </span>            : }</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : //------------------------------------------------------------------------------</a>
+<a name="82"><span class="lineNum">      82 </span>            : // LAGr_Betweenness: vertex betweenness-centrality</a>
+<a name="83"><span class="lineNum">      83 </span>            : //------------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        143 : int LAGr_Betweenness</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : (</a>
+<a name="87"><span class="lineNum">      87 </span>            :     // output:</a>
+<a name="88"><span class="lineNum">      88 </span>            :     GrB_Vector *centrality,     // centrality(i): betweeness centrality of i</a>
+<a name="89"><span class="lineNum">      89 </span>            :     // input:</a>
+<a name="90"><span class="lineNum">      90 </span>            :     LAGraph_Graph G,            // input graph</a>
+<a name="91"><span class="lineNum">      91 </span>            :     const GrB_Index *sources,   // source vertices to compute shortest paths</a>
+<a name="92"><span class="lineNum">      92 </span>            :     int32_t ns,                 // number of source vertices</a>
+<a name="93"><span class="lineNum">      93 </span>            :     char *msg</a>
+<a name="94"><span class="lineNum">      94 </span>            : )</a>
+<a name="95"><span class="lineNum">      95 </span>            : {</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // check inputs</a>
+<a name="99"><span class="lineNum">      99 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        143 :     LG_CLEAR_MSG ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :     // Array of BFS search matrices.</a>
+<a name="104"><span class="lineNum">     104 </span>            :     // S [i] is a sparse matrix that stores the depth at which each vertex is</a>
+<a name="105"><span class="lineNum">     105 </span>            :     // first seen thus far in each BFS at the current depth i. Each column</a>
+<a name="106"><span class="lineNum">     106 </span>            :     // corresponds to a BFS traversal starting from a source node.</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        143 :     GrB_Matrix *S = NULL ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // Frontier matrix, a sparse matrix.</a>
+<a name="110"><span class="lineNum">     110 </span>            :     // Stores # of shortest paths to vertices at current BFS depth</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        143 :     GrB_Matrix frontier = NULL ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            :     // Paths matrix holds the number of shortest paths for each node and</a>
+<a name="114"><span class="lineNum">     114 </span>            :     // starting node discovered so far.  A dense matrix that is updated with</a>
+<a name="115"><span class="lineNum">     115 </span>            :     // sparse updates, and also used as a mask.</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        143 :     GrB_Matrix paths = NULL ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            :     // Update matrix for betweenness centrality, values for each node for</a>
+<a name="119"><span class="lineNum">     119 </span>            :     // each starting node.  A dense matrix.</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        143 :     GrB_Matrix bc_update = NULL ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :     // Temporary workspace matrix (sparse).</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        143 :     GrB_Matrix W = NULL ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">        143 :     GrB_Index n = 0 ;                   // # nodes in the graph</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">        143 :     LG_ASSERT (centrality != NULL &amp;&amp; sources != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">        143 :     (*centrality) = NULL ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">        143 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">        143 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :     GrB_Matrix AT ;</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">        143 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :         G-&gt;is_symmetric_structure == LAGraph_TRUE)</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :     {</a>
+<a name="136"><span class="lineNum">     136 </span>            :         // A and A' have the same structure</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">        142 :         AT = A ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :     }</a>
+<a name="139"><span class="lineNum">     139 </span>            :     else</a>
+<a name="140"><span class="lineNum">     140 </span>            :     {</a>
+<a name="141"><span class="lineNum">     141 </span>            :         // A and A' differ</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :         AT = G-&gt;AT ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (AT != NULL, LAGRAPH_NOT_CACHED, &quot;G-&gt;AT is required&quot;) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :     }</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :     // =========================================================================</a>
+<a name="147"><span class="lineNum">     147 </span>            :     // === initializations =====================================================</a>
+<a name="148"><span class="lineNum">     148 </span>            :     // =========================================================================</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // Initialize paths and frontier with source notes</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        143 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">        143 :     GRB_TRY (GrB_Matrix_new (&amp;paths,    GrB_FP64, ns, n)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        140 :     GRB_TRY (GrB_Matrix_new (&amp;frontier, GrB_FP64, ns, n)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        137 :     GRB_TRY (GxB_set (paths, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :     #endif</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">        655 :     for (GrB_Index i = 0 ; i &lt; ns ; i++)</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :     {</a>
+<a name="159"><span class="lineNum">     159 </span>            :         // paths (i,s(i)) = 1</a>
+<a name="160"><span class="lineNum">     160 </span>            :         // frontier (i,s(i)) = 1</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">        525 :         double one = 1 ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        525 :         GrB_Index src = sources [i] ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        525 :         LG_ASSERT_MSG (src &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        525 :         GRB_TRY (GrB_Matrix_setElement (paths,    one, i, src)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">        524 :         GRB_TRY (GrB_Matrix_setElement (frontier, one, i, src)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :     }</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            :     // Initial frontier: frontier&lt;!paths&gt;= frontier*A</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">        130 :     GRB_TRY (GrB_mxm (frontier, paths, NULL, LAGraph_plus_first_fp64,</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :         frontier, A, GrB_DESC_RSC)) ;</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :     // Allocate memory for the array of S matrices</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">        117 :     LG_TRY (LAGraph_Malloc ((void **) &amp;S, n+1, sizeof (GrB_Matrix), msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">        116 :     S [0] = NULL ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     // =========================================================================</a>
+<a name="177"><span class="lineNum">     177 </span>            :     // === Breadth-first search stage ==========================================</a>
+<a name="178"><span class="lineNum">     178 </span>            :     // =========================================================================</a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">        116 :     bool last_was_pull = false ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">        116 :     GrB_Index frontier_size, last_frontier_size = 0 ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        116 :     GRB_TRY (GrB_Matrix_nvals (&amp;frontier_size, frontier)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            :     int64_t depth ;</a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">        567 :     for (depth = 0 ; frontier_size &gt; 0 &amp;&amp; depth &lt; n ; depth++)</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :     {</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :         //----------------------------------------------------------------------</a>
+<a name="189"><span class="lineNum">     189 </span>            :         // S [depth] = structure of frontier</a>
+<a name="190"><span class="lineNum">     190 </span>            :         //----------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        496 :         S [depth+1] = NULL ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        556 :         LG_TRY (LAGraph_Matrix_Structure (&amp;(S [depth]), frontier, msg)) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :         //----------------------------------------------------------------------</a>
+<a name="196"><span class="lineNum">     196 </span>            :         // Accumulate path counts: paths += frontier</a>
+<a name="197"><span class="lineNum">     197 </span>            :         //----------------------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">        467 :         GRB_TRY (GrB_assign (paths, NULL, GrB_PLUS_FP64, frontier, GrB_ALL, ns,</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :         //----------------------------------------------------------------------</a>
+<a name="203"><span class="lineNum">     203 </span>            :         // Update frontier: frontier&lt;!paths&gt; = frontier*A</a>
+<a name="204"><span class="lineNum">     204 </span>            :         //----------------------------------------------------------------------</a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         // pull if frontier is more than 10% dense,</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // or &gt; 6% dense and last step was pull</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        465 :         double frontier_density = ((double) frontier_size) / (double) (ns*n) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        465 :         bool do_pull = frontier_density &gt; (last_was_pull ? 0.06 : 0.10 ) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">        465 :         if (do_pull)</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :         {</a>
+<a name="213"><span class="lineNum">     213 </span>            :             // frontier&lt;!paths&gt; = frontier*AT'</a>
+<a name="214"><span class="lineNum">     214 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">        387 :             GRB_TRY (GxB_set (frontier, GxB_SPARSITY_CONTROL, GxB_BITMAP)) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :             #endif</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">        407 :             GRB_TRY (GrB_mxm (frontier, paths, NULL, LAGraph_plus_first_fp64,</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :                 frontier, AT, GrB_DESC_RSCT1)) ;</a>
+<a name="219"><span class="lineNum">     219 </span>            :         }</a>
+<a name="220"><span class="lineNum">     220 </span>            :         else // push</a>
+<a name="221"><span class="lineNum">     221 </span>            :         {</a>
+<a name="222"><span class="lineNum">     222 </span>            :             // frontier&lt;!paths&gt; = frontier*A</a>
+<a name="223"><span class="lineNum">     223 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         93 :             GRB_TRY (GxB_set (frontier, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :             #endif</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         90 :             GRB_TRY (GrB_mxm (frontier, paths, NULL, LAGraph_plus_first_fp64,</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :                 frontier, A, GrB_DESC_RSC)) ;</a>
+<a name="228"><span class="lineNum">     228 </span>            :         }</a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span>            :         //----------------------------------------------------------------------</a>
+<a name="231"><span class="lineNum">     231 </span>            :         // Get size of current frontier: frontier_size = nvals(frontier)</a>
+<a name="232"><span class="lineNum">     232 </span>            :         //----------------------------------------------------------------------</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">        451 :         last_frontier_size = frontier_size ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">        451 :         last_was_pull = do_pull ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        451 :         GRB_TRY (GrB_Matrix_nvals (&amp;frontier_size, frontier)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :     }</a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         71 :     GRB_TRY (GrB_free (&amp;frontier)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            :     // =========================================================================</a>
+<a name="242"><span class="lineNum">     242 </span>            :     // === Betweenness centrality computation phase ============================</a>
+<a name="243"><span class="lineNum">     243 </span>            :     // =========================================================================</a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span>            :     // bc_update = ones (ns, n) ; a full matrix (and stays full)</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">         86 :     GRB_TRY (GrB_Matrix_new (&amp;bc_update, GrB_FP64, ns, n)) ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">         73 :     GRB_TRY (GrB_assign (bc_update, NULL, NULL, 1, GrB_ALL, ns, GrB_ALL, n,</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :         NULL)) ;</a>
+<a name="249"><span class="lineNum">     249 </span>            :     // W: empty ns-by-n array, as workspace</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         82 :     GRB_TRY (GrB_Matrix_new (&amp;W, GrB_FP64, ns, n)) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :     // Backtrack through the BFS and compute centrality updates for each vertex</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">        175 :     for (int64_t i = depth-1 ; i &gt; 0 ; i--)</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :     {</a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            :         //----------------------------------------------------------------------</a>
+<a name="257"><span class="lineNum">     257 </span>            :         // W&lt;S[i]&gt; = bc_update ./ paths</a>
+<a name="258"><span class="lineNum">     258 </span>            :         //----------------------------------------------------------------------</a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span>            :         // Add contributions by successors and mask with that level's frontier</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">        301 :         GRB_TRY (GrB_eWiseMult (W, S [i], NULL, GrB_DIV_FP64, bc_update, paths,</span></a>
+<a name="262"><span class="lineNum">     262 </span>            :             GrB_DESC_RS)) ;</a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span>            :         //----------------------------------------------------------------------</a>
+<a name="265"><span class="lineNum">     265 </span>            :         // W&lt;S[i−1]&gt; = W * A'</a>
+<a name="266"><span class="lineNum">     266 </span>            :         //----------------------------------------------------------------------</a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            :         // pull if W is more than 10% dense and nnz(W)/nnz(S[i-1]) &gt; 1</a>
+<a name="269"><span class="lineNum">     269 </span>            :         // or if W is more than 1% dense and nnz(W)/nnz(S[i-1]) &gt; 10</a>
+<a name="270"><span class="lineNum">     270 </span>            :         GrB_Index wsize, ssize ;</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        146 :         GrB_Matrix_nvals (&amp;wsize, W) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        146 :         GrB_Matrix_nvals (&amp;ssize, S [i-1]) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        146 :         double w_density    = ((double) wsize) / ((double) (ns*n)) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">        146 :         double w_to_s_ratio = ((double) wsize) / ((double) ssize) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">        218 :         bool do_pull = (w_density &gt; 0.1  &amp;&amp; w_to_s_ratio &gt; 1.) ||</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         72 :                        (w_density &gt; 0.01 &amp;&amp; w_to_s_ratio &gt; 10.) ;</span></a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">        146 :         if (do_pull)</span></a>
+<a name="279"><span class="lineNum">     279 </span>            :         {</a>
+<a name="280"><span class="lineNum">     280 </span>            :             // W&lt;S[i−1]&gt; = W * A'</a>
+<a name="281"><span class="lineNum">     281 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         26 :             GRB_TRY (GxB_set (W, GxB_SPARSITY_CONTROL, GxB_BITMAP)) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :             #endif</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">         24 :             GRB_TRY (GrB_mxm (W, S [i-1], NULL, LAGraph_plus_first_fp64, W, A,</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :                 GrB_DESC_RST1)) ;</a>
+<a name="286"><span class="lineNum">     286 </span>            :         }</a>
+<a name="287"><span class="lineNum">     287 </span>            :         else // push</a>
+<a name="288"><span class="lineNum">     288 </span>            :         {</a>
+<a name="289"><span class="lineNum">     289 </span>            :             // W&lt;S[i−1]&gt; = W * AT</a>
+<a name="290"><span class="lineNum">     290 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">        130 :             GRB_TRY (GxB_set (W, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span>            :             #endif</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">        225 :             GRB_TRY (GrB_mxm (W, S [i-1], NULL, LAGraph_plus_first_fp64, W, AT,</span></a>
+<a name="294"><span class="lineNum">     294 </span>            :                 GrB_DESC_RS)) ;</a>
+<a name="295"><span class="lineNum">     295 </span>            :         }</a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span>            :         //----------------------------------------------------------------------</a>
+<a name="298"><span class="lineNum">     298 </span>            :         // bc_update += W .* paths</a>
+<a name="299"><span class="lineNum">     299 </span>            :         //----------------------------------------------------------------------</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">        183 :         GRB_TRY (GrB_eWiseMult (bc_update, NULL, GrB_PLUS_FP64, GrB_TIMES_FP64,</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :             W, paths, NULL)) ;</a>
+<a name="303"><span class="lineNum">     303 </span>            :     }</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span>            :     // =========================================================================</a>
+<a name="306"><span class="lineNum">     306 </span>            :     // === finalize the centrality =============================================</a>
+<a name="307"><span class="lineNum">     307 </span>            :     // =========================================================================</a>
+<a name="308"><span class="lineNum">     308 </span>            : </a>
+<a name="309"><span class="lineNum">     309 </span>            :     // Initialize the centrality array with -ns to avoid counting</a>
+<a name="310"><span class="lineNum">     310 </span>            :     // zero length paths</a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         19 :     GRB_TRY (GrB_Vector_new (centrality, GrB_FP64, n)) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">         12 :     GRB_TRY (GrB_assign (*centrality, NULL, NULL, -ns, GrB_ALL, n, NULL)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span>            :     // centrality (i) += sum (bc_update (:,i)) for all nodes i</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">         21 :     GRB_TRY (GrB_reduce (*centrality, NULL, GrB_PLUS_FP64, GrB_PLUS_MONOID_FP64,</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :         bc_update, GrB_DESC_T0)) ;</a>
+<a name="317"><span class="lineNum">     317 </span>            : </a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">         18 :     LG_FREE_WORK ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_BreadthFirstSearch.c.func-sort-c.html b/src/algorithm/LAGr_BreadthFirstSearch.c.func-sort-c.html
new file mode 100644
index 0000000000..44e2bb8b75
--- /dev/null
+++ b/src/algorithm/LAGr_BreadthFirstSearch.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_BreadthFirstSearch.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_BreadthFirstSearch.c<span style="font-size: 80%;"> (<a href="LAGr_BreadthFirstSearch.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_BreadthFirstSearch.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_BreadthFirstSearch.c.gcov.html#26">LAGr_BreadthFirstSearch</a></td>
+              <td class="coverFnHi">9462</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_BreadthFirstSearch.c.func.html b/src/algorithm/LAGr_BreadthFirstSearch.c.func.html
new file mode 100644
index 0000000000..3c80de385d
--- /dev/null
+++ b/src/algorithm/LAGr_BreadthFirstSearch.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_BreadthFirstSearch.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_BreadthFirstSearch.c<span style="font-size: 80%;"> (<a href="LAGr_BreadthFirstSearch.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_BreadthFirstSearch.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_BreadthFirstSearch.c.gcov.html#26">LAGr_BreadthFirstSearch</a></td>
+              <td class="coverFnHi">9462</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_BreadthFirstSearch.c.gcov.html b/src/algorithm/LAGr_BreadthFirstSearch.c.gcov.html
new file mode 100644
index 0000000000..70848eeb97
--- /dev/null
+++ b/src/algorithm/LAGr_BreadthFirstSearch.c.gcov.html
@@ -0,0 +1,121 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_BreadthFirstSearch.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_BreadthFirstSearch.c<span style="font-size: 80%;"> (source / <a href="LAGr_BreadthFirstSearch.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_BreadthFirstSearch:  breadth-first search dispatch</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott McMillan, SEI Carnegie Mellon University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Breadth-first-search via push/pull method if using SuiteSparse:GraphBLAS</a>
+<a name="19"><span class="lineNum">      19 </span>            : // and its GxB extensions, or a push-only method otherwise.  The former is</a>
+<a name="20"><span class="lineNum">      20 </span>            : // much faster.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // This is an Advanced algorithm.  SuiteSparse can use a push/pull method if</a>
+<a name="23"><span class="lineNum">      23 </span>            : // G-&gt;AT and G-&gt;out_degree are provided.  G-&gt;AT is not required if G is</a>
+<a name="24"><span class="lineNum">      24 </span>            : // undirected.  The vanilla method is always push-only.</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #include &quot;LG_alg_internal.h&quot;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">       9462 : int LAGr_BreadthFirstSearch</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : (</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // output:</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_Vector *level,</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_Vector *parent,</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // input:</a>
+<a name="34"><span class="lineNum">      34 </span>            :     const LAGraph_Graph G,</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_Index src,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     char *msg</a>
+<a name="37"><span class="lineNum">      37 </span>            : )</a>
+<a name="38"><span class="lineNum">      38 </span>            : {</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">       9462 :     return LG_BreadthFirstSearch_SSGrB   (level, parent, G, src, msg) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span>            : #else</a>
+<a name="43"><span class="lineNum">      43 </span>            :     return LG_BreadthFirstSearch_vanilla (level, parent, G, src, msg) ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : #endif</a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_ConnectedComponents.c.func-sort-c.html b/src/algorithm/LAGr_ConnectedComponents.c.func-sort-c.html
new file mode 100644
index 0000000000..d8bd9a6513
--- /dev/null
+++ b/src/algorithm/LAGr_ConnectedComponents.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_ConnectedComponents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_ConnectedComponents.c<span style="font-size: 80%;"> (<a href="LAGr_ConnectedComponents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_ConnectedComponents.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_ConnectedComponents.c.gcov.html#23">LAGr_ConnectedComponents</a></td>
+              <td class="coverFnHi">62</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_ConnectedComponents.c.func.html b/src/algorithm/LAGr_ConnectedComponents.c.func.html
new file mode 100644
index 0000000000..bd78f84d81
--- /dev/null
+++ b/src/algorithm/LAGr_ConnectedComponents.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_ConnectedComponents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_ConnectedComponents.c<span style="font-size: 80%;"> (<a href="LAGr_ConnectedComponents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_ConnectedComponents.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_ConnectedComponents.c.gcov.html#23">LAGr_ConnectedComponents</a></td>
+              <td class="coverFnHi">62</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_ConnectedComponents.c.gcov.html b/src/algorithm/LAGr_ConnectedComponents.c.gcov.html
new file mode 100644
index 0000000000..ae0f45d6ae
--- /dev/null
+++ b/src/algorithm/LAGr_ConnectedComponents.c.gcov.html
@@ -0,0 +1,117 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_ConnectedComponents.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_ConnectedComponents.c<span style="font-size: 80%;"> (source / <a href="LAGr_ConnectedComponents.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_ConnectedComponents:  connected components of an undirected graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is an Advanced algorithm (G-&gt;is_symmetric_structure must be known).</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // Connected Components via LG_CC_FastSV6 if using SuiteSparse:GraphBLAS and</a>
+<a name="21"><span class="lineNum">      21 </span>            : // its GxB extensions, or LG_CC_Boruvka otherwise.  The former is much faster.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_alg_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">         62 : int LAGr_ConnectedComponents</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_Vector *component,  // component(i)=s if node i is in the component</a>
+<a name="29"><span class="lineNum">      29 </span>            :                             // whose representative node is s</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // input:</a>
+<a name="31"><span class="lineNum">      31 </span>            :     const LAGraph_Graph G,  // input graph</a>
+<a name="32"><span class="lineNum">      32 </span>            :     char *msg</a>
+<a name="33"><span class="lineNum">      33 </span>            : )</a>
+<a name="34"><span class="lineNum">      34 </span>            : {</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">         62 :     return (LG_CC_FastSV6 (component, G, msg)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            :     #else</a>
+<a name="39"><span class="lineNum">      39 </span>            :     return (LG_CC_Boruvka (component, G, msg)) ;</a>
+<a name="40"><span class="lineNum">      40 </span>            :     #endif</a>
+<a name="41"><span class="lineNum">      41 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_PageRank.c.func-sort-c.html b/src/algorithm/LAGr_PageRank.c.func-sort-c.html
new file mode 100644
index 0000000000..6cf25e3fbf
--- /dev/null
+++ b/src/algorithm/LAGr_PageRank.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRank.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRank.c<span style="font-size: 80%;"> (<a href="LAGr_PageRank.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_PageRank.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_PageRank.c.gcov.html#49">LAGr_PageRank</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_PageRank.c.func.html b/src/algorithm/LAGr_PageRank.c.func.html
new file mode 100644
index 0000000000..583a1a68b5
--- /dev/null
+++ b/src/algorithm/LAGr_PageRank.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRank.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRank.c<span style="font-size: 80%;"> (<a href="LAGr_PageRank.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_PageRank.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_PageRank.c.gcov.html#49">LAGr_PageRank</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_PageRank.c.gcov.html b/src/algorithm/LAGr_PageRank.c.gcov.html
new file mode 100644
index 0000000000..b2d1d4ec31
--- /dev/null
+++ b/src/algorithm/LAGr_PageRank.c.gcov.html
@@ -0,0 +1,261 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRank.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRank.c<span style="font-size: 80%;"> (source / <a href="LAGr_PageRank.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntry">54</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_PageRank: pagerank (for use in production, not for the GAP benchmark)</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis and Mohsen Aznaveh, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is an Advanced algorithm (G-&gt;AT and G-&gt;out_degree are required).</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // PageRank (not for the GAP benchmark, but for production use).  Do not use</a>
+<a name="21"><span class="lineNum">      21 </span>            : // this method for the GAP benchmark.  Use LAGr_PageRankGAP instead.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // Unlike LAGr_PageRankGAP, this algorithm handles sinks correctly (nodes with</a>
+<a name="24"><span class="lineNum">      24 </span>            : // no outgoing edges).  The method in the GAP specification ignores sinks, and</a>
+<a name="25"><span class="lineNum">      25 </span>            : // thus sum(centrality) is not maintained as 1.  This method handles sinks</a>
+<a name="26"><span class="lineNum">      26 </span>            : // properly, and thus keeps sum(centrality) equal to 1.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // The G-&gt;AT and G-&gt;out_degree cached properties must be defined for this</a>
+<a name="29"><span class="lineNum">      29 </span>            : // method.  If G is undirected or G-&gt;A is known to have a symmetric structure,</a>
+<a name="30"><span class="lineNum">      30 </span>            : // then G-&gt;A is used instead of G-&gt;AT, however.  G-&gt;out_degree must be computed</a>
+<a name="31"><span class="lineNum">      31 </span>            : // so that it contains no explicit zeros; as done by LAGraph_Cached_OutDegree.</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_WORK                \</a>
+<a name="34"><span class="lineNum">      34 </span>            : {                                   \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;d1) ;                \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_free (&amp;d) ;                 \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;t) ;                 \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;w) ;                 \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;sink) ;              \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free (&amp;rsink) ;             \</a>
+<a name="41"><span class="lineNum">      41 </span>            : }</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="44"><span class="lineNum">      44 </span>            : {                                   \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free (&amp;r) ;                 \</a>
+<a name="47"><span class="lineNum">      47 </span>            : }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          4 : int LAGr_PageRank</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : (</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // output:</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Vector *centrality, // centrality(i): pagerank of node i</a>
+<a name="55"><span class="lineNum">      55 </span>            :     int *iters,             // number of iterations taken</a>
+<a name="56"><span class="lineNum">      56 </span>            :     // input:</a>
+<a name="57"><span class="lineNum">      57 </span>            :     const LAGraph_Graph G,  // input graph</a>
+<a name="58"><span class="lineNum">      58 </span>            :     float damping,          // damping factor (typically 0.85)</a>
+<a name="59"><span class="lineNum">      59 </span>            :     float tol,              // stopping tolerance (typically 1e-4) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            :     int itermax,            // maximum number of iterations (typically 100)</a>
+<a name="61"><span class="lineNum">      61 </span>            :     char *msg</a>
+<a name="62"><span class="lineNum">      62 </span>            : )</a>
+<a name="63"><span class="lineNum">      63 </span>            : {</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            :     // check inputs</a>
+<a name="67"><span class="lineNum">      67 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          4 :     LG_CLEAR_MSG ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          4 :     GrB_Vector r = NULL, d = NULL, t = NULL, w = NULL, d1 = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          4 :     GrB_Vector sink = NULL, rsink = NULL ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          4 :     LG_ASSERT (centrality != NULL &amp;&amp; iters != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          4 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_Matrix AT ;</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          4 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          2 :         G-&gt;is_symmetric_structure == LAGraph_TRUE)</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :     {</a>
+<a name="78"><span class="lineNum">      78 </span>            :         // A and A' have the same structure</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          2 :         AT = G-&gt;A ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :     }</a>
+<a name="81"><span class="lineNum">      81 </span>            :     else</a>
+<a name="82"><span class="lineNum">      82 </span>            :     {</a>
+<a name="83"><span class="lineNum">      83 </span>            :         // A and A' differ</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          2 :         AT = G-&gt;AT ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          2 :         LG_ASSERT_MSG (AT != NULL, LAGRAPH_NOT_CACHED, &quot;G-&gt;AT is required&quot;) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          4 :     GrB_Vector d_out = G-&gt;out_degree ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          4 :     LG_ASSERT_MSG (d_out != NULL,</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :         LAGRAPH_NOT_CACHED, &quot;G-&gt;out_degree is required&quot;) ;</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="92"><span class="lineNum">      92 </span>            :     // initializations</a>
+<a name="93"><span class="lineNum">      93 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     GrB_Index n ;</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          4 :     (*centrality) = NULL ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, AT)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          4 :     const float damping_over_n = damping / n ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          4 :     const float scaled_damping = (1 - damping) / n ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          4 :     float rdiff = 1 ;       // first iteration is always done</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :     // r = 1 / n</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_FP32, n)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new (&amp;r, GrB_FP32, n)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new (&amp;w, GrB_FP32, n)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          4 :     GRB_TRY (GrB_assign (r, NULL, NULL, (float) (1.0 / n), GrB_ALL, n, NULL)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // find all sinks, where sink(i) = true if node i has d_out(i)=0, or with</a>
+<a name="110"><span class="lineNum">     110 </span>            :     // d_out(i) not present.  LAGraph_Cached_OutDegree computes d_out =</a>
+<a name="111"><span class="lineNum">     111 </span>            :     // G-&gt;out_degree so that it has no explicit zeros, so a structural mask can</a>
+<a name="112"><span class="lineNum">     112 </span>            :     // be used here.</a>
+<a name="113"><span class="lineNum">     113 </span>            :     GrB_Index nsinks, nvals ;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, d_out)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          4 :     nsinks = n - nvals ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          4 :     if (nsinks &gt; 0)</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     {</a>
+<a name="118"><span class="lineNum">     118 </span>            :         // sink&lt;!struct(d_out)&gt; = true</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Vector_new (&amp;sink, GrB_BOOL, n)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 :         GRB_TRY (GrB_assign (sink, d_out, NULL, (bool) true, GrB_ALL, n,</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :             GrB_DESC_SC)) ;</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Vector_new (&amp;rsink, GrB_FP32, n)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :     }</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     // prescale with damping factor, so it isn't done each iteration</a>
+<a name="126"><span class="lineNum">     126 </span>            :     // d = d_out / damping ;</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new (&amp;d, GrB_FP32, n)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          4 :     GRB_TRY (GrB_apply (d, NULL, NULL, GrB_DIV_FP32, d_out, damping, NULL)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     // d1 = 1 / damping</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          4 :     float dmin = 1.0 / damping ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          4 :     GRB_TRY (GrB_Vector_new (&amp;d1, GrB_FP32, n)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          4 :     GRB_TRY (GrB_assign (d1, NULL, NULL, dmin, GrB_ALL, n, NULL)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     // d = max (d1, d)</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          4 :     GRB_TRY (GrB_eWiseAdd (d, NULL, NULL, GrB_MAX_FP32, d1, d, NULL)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          4 :     GrB_free (&amp;d1) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="139"><span class="lineNum">     139 </span>            :     // pagerank iterations</a>
+<a name="140"><span class="lineNum">     140 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         48 :     for ((*iters) = 0 ; rdiff &gt; tol ; (*iters)++)</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :     {</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // check for convergence</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         45 :         LG_ASSERT_MSGF ((*iters) &lt; itermax, LAGRAPH_CONVERGENCE_FAILURE,</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :             &quot;pagerank failed to converge in %d iterations&quot;, itermax) ;</a>
+<a name="147"><span class="lineNum">     147 </span>            :         // determine teleport and handle any sinks</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         44 :         float teleport = scaled_damping ; // teleport = (1 - damping) / n</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         44 :         if (nsinks &gt; 0)</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :         {</a>
+<a name="151"><span class="lineNum">     151 </span>            :             // handle the sinks: teleport += (damping/n) * sum (r (sink))</a>
+<a name="152"><span class="lineNum">     152 </span>            :             // rsink&lt;struct(sink)&gt; = r</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         12 :             GRB_TRY (GrB_Vector_clear (rsink)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         12 :             GRB_TRY (GrB_assign (rsink, sink, NULL, r, GrB_ALL, n, GrB_DESC_S));</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :             // sum_rsink = sum (rsink)</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         12 :             float sum_rsink = 0 ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         12 :             GRB_TRY (GrB_reduce (&amp;sum_rsink, NULL, GrB_PLUS_MONOID_FP32,</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :                 rsink, NULL)) ;</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         12 :             teleport += damping_over_n * sum_rsink ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            :         }</a>
+<a name="161"><span class="lineNum">     161 </span>            :         // swap t and r ; now t is the old score</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         44 :         GrB_Vector temp = t ; t = r ; r = temp ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :         // w = t ./ d</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         44 :         GRB_TRY (GrB_eWiseMult (w, NULL, NULL, GrB_DIV_FP32, t, d, NULL)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :         // r = teleport</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         44 :         GRB_TRY (GrB_assign (r, NULL, NULL, teleport, GrB_ALL, n, NULL)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :         // r += A'*w</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         44 :         GRB_TRY (GrB_mxv (r, NULL, GrB_PLUS_FP32, LAGraph_plus_second_fp32,</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :             AT, w, NULL)) ;</a>
+<a name="170"><span class="lineNum">     170 </span>            :         // t -= r</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         44 :         GRB_TRY (GrB_assign (t, NULL, GrB_MINUS_FP32, r, GrB_ALL, n, NULL)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :         // t = abs (t)</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         44 :         GRB_TRY (GrB_apply (t, NULL, NULL, GrB_ABS_FP32, t, NULL)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :         // rdiff = sum (t)</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         44 :         GRB_TRY (GrB_reduce (&amp;rdiff, NULL, GrB_PLUS_MONOID_FP32, t, NULL)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :     }</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="179"><span class="lineNum">     179 </span>            :     // free workspace and return result</a>
+<a name="180"><span class="lineNum">     180 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          3 :     (*centrality) = r ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          3 :     LG_FREE_WORK ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_PageRankGAP.c.func-sort-c.html b/src/algorithm/LAGr_PageRankGAP.c.func-sort-c.html
new file mode 100644
index 0000000000..39512d258c
--- /dev/null
+++ b/src/algorithm/LAGr_PageRankGAP.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRankGAP.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRankGAP.c<span style="font-size: 80%;"> (<a href="LAGr_PageRankGAP.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_PageRankGAP.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_PageRankGAP.c.gcov.html#49">LAGr_PageRankGAP</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_PageRankGAP.c.func.html b/src/algorithm/LAGr_PageRankGAP.c.func.html
new file mode 100644
index 0000000000..f1a43d3c00
--- /dev/null
+++ b/src/algorithm/LAGr_PageRankGAP.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRankGAP.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRankGAP.c<span style="font-size: 80%;"> (<a href="LAGr_PageRankGAP.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+              <td class="coverFn"><a href="LAGr_PageRankGAP.c.gcov.html#49">LAGr_PageRankGAP</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
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diff --git a/src/algorithm/LAGr_PageRankGAP.c.gcov.html b/src/algorithm/LAGr_PageRankGAP.c.gcov.html
new file mode 100644
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_PageRankGAP.c</title>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_PageRankGAP.c<span style="font-size: 80%;"> (source / <a href="LAGr_PageRankGAP.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_PageRankGAP: pagerank for the GAP benchmark</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis and Mohsen Aznaveh, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is an Advanced algorithm (G-&gt;AT and G-&gt;out_degree are required).</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // PageRank for the GAP benchmark (only).  Do not use in production.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // This algorithm follows the specification given in the GAP Benchmark Suite:</a>
+<a name="23"><span class="lineNum">      23 </span>            : // https://arxiv.org/abs/1508.03619 which assumes that both A and A' are</a>
+<a name="24"><span class="lineNum">      24 </span>            : // already available, as are the row and column degrees.  The GAP specification</a>
+<a name="25"><span class="lineNum">      25 </span>            : // ignores dangling nodes (nodes with no outgoing edges, also called sinks),</a>
+<a name="26"><span class="lineNum">      26 </span>            : // and thus shouldn't be used in production.  This method is for the GAP</a>
+<a name="27"><span class="lineNum">      27 </span>            : // benchmark only.  See LAGr_PageRank for a method that</a>
+<a name="28"><span class="lineNum">      28 </span>            : // handles sinks correctly.  This method does not return a centrality metric</a>
+<a name="29"><span class="lineNum">      29 </span>            : // such that sum(centrality) is 1, if sinks are present.</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // The G-&gt;AT and G-&gt;out_degree cached properties must be defined for this</a>
+<a name="32"><span class="lineNum">      32 </span>            : // method.  If G is undirected or G-&gt;A is known to have a symmetric structure,</a>
+<a name="33"><span class="lineNum">      33 </span>            : // then G-&gt;A is used instead of G-&gt;AT, however.</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : #define LG_FREE_WORK                \</a>
+<a name="36"><span class="lineNum">      36 </span>            : {                                   \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_free (&amp;d1) ;                \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;d) ;                 \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;t) ;                 \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free (&amp;w) ;                 \</a>
+<a name="41"><span class="lineNum">      41 </span>            : }</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : #define LG_FREE_ALL                 \</a>
+<a name="44"><span class="lineNum">      44 </span>            : {                                   \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     LG_FREE_WORK ;                  \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free (&amp;r) ;                 \</a>
+<a name="47"><span class="lineNum">      47 </span>            : }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          3 : int LAGr_PageRankGAP</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : (</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // output:</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Vector *centrality, // centrality(i): GAP-style pagerank of node i</a>
+<a name="55"><span class="lineNum">      55 </span>            :     int *iters,             // number of iterations taken</a>
+<a name="56"><span class="lineNum">      56 </span>            :     // input:</a>
+<a name="57"><span class="lineNum">      57 </span>            :     const LAGraph_Graph G,  // input graph</a>
+<a name="58"><span class="lineNum">      58 </span>            :     float damping,          // damping factor (typically 0.85)</a>
+<a name="59"><span class="lineNum">      59 </span>            :     float tol,              // stopping tolerance (typically 1e-4) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            :     int itermax,            // maximum number of iterations (typically 100)</a>
+<a name="61"><span class="lineNum">      61 </span>            :     char *msg</a>
+<a name="62"><span class="lineNum">      62 </span>            : )</a>
+<a name="63"><span class="lineNum">      63 </span>            : {</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            :     // check inputs</a>
+<a name="67"><span class="lineNum">      67 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          3 :     LG_CLEAR_MSG ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          3 :     GrB_Vector r = NULL, d = NULL, t = NULL, w = NULL, d1 = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          3 :     LG_ASSERT (centrality != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          3 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_Matrix AT ;</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          3 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          2 :         G-&gt;is_symmetric_structure == LAGraph_TRUE)</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     {</a>
+<a name="77"><span class="lineNum">      77 </span>            :         // A and A' have the same structure</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :         AT = G-&gt;A ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            :     }</a>
+<a name="80"><span class="lineNum">      80 </span>            :     else</a>
+<a name="81"><span class="lineNum">      81 </span>            :     {</a>
+<a name="82"><span class="lineNum">      82 </span>            :         // A and A' differ</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          2 :         AT = G-&gt;AT ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          2 :         LG_ASSERT_MSG (AT != NULL,</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :             LAGRAPH_NOT_CACHED, &quot;G-&gt;AT is required&quot;) ;</a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          3 :     GrB_Vector d_out = G-&gt;out_degree ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          3 :     LG_ASSERT_MSG (d_out != NULL,</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :         LAGRAPH_NOT_CACHED, &quot;G-&gt;out_degree is required&quot;) ;</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="92"><span class="lineNum">      92 </span>            :     // initializations</a>
+<a name="93"><span class="lineNum">      93 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     GrB_Index n ;</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          3 :     (*centrality) = NULL ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, AT)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          3 :     const float scaled_damping = (1 - damping) / n ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          3 :     const float teleport = scaled_damping ; // teleport = (1 - damping) / n</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          3 :     float rdiff = 1 ;       // first iteration is always done</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :     // r = 1 / n</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_FP32, n)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new (&amp;r, GrB_FP32, n)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new (&amp;w, GrB_FP32, n)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          3 :     GRB_TRY (GrB_assign (r, NULL, NULL, (float) (1.0 / n), GrB_ALL, n, NULL)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            :     // prescale with damping factor, so it isn't done each iteration</a>
+<a name="110"><span class="lineNum">     110 </span>            :     // d = d_out / damping ;</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new (&amp;d, GrB_FP32, n)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          3 :     GRB_TRY (GrB_apply (d, NULL, NULL, GrB_DIV_FP32, d_out, damping, NULL)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     // d1 = 1 / damping</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          3 :     float dmin = 1.0 / damping ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          3 :     GRB_TRY (GrB_Vector_new (&amp;d1, GrB_FP32, n)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          3 :     GRB_TRY (GrB_assign (d1, NULL, NULL, dmin, GrB_ALL, n, NULL)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     // d = max (d1, d)</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          3 :     GRB_TRY (GrB_eWiseAdd (d, NULL, NULL, GrB_MAX_FP32, d1, d, NULL)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          3 :     GrB_free (&amp;d1) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            :     // pagerank iterations</a>
+<a name="124"><span class="lineNum">     124 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         55 :     for ((*iters) = 0 ; (*iters) &lt; itermax &amp;&amp; rdiff &gt; tol ; (*iters)++)</span></a>
+<a name="127"><span class="lineNum">     127 </span>            :     {</a>
+<a name="128"><span class="lineNum">     128 </span>            :         // swap t and r ; now t is the old score</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         52 :         GrB_Vector temp = t ; t = r ; r = temp ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :         // w = t ./ d</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         52 :         GRB_TRY (GrB_eWiseMult (w, NULL, NULL, GrB_DIV_FP32, t, d, NULL)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :         // r = teleport</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         52 :         GRB_TRY (GrB_assign (r, NULL, NULL, teleport, GrB_ALL, n, NULL)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :         // r += A'*w</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         52 :         GRB_TRY (GrB_mxv (r, NULL, GrB_PLUS_FP32, LAGraph_plus_second_fp32,</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :             AT, w, NULL)) ;</a>
+<a name="137"><span class="lineNum">     137 </span>            :         // t -= r</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         52 :         GRB_TRY (GrB_assign (t, NULL, GrB_MINUS_FP32, r, GrB_ALL, n, NULL)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :         // t = abs (t)</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         52 :         GRB_TRY (GrB_apply (t, NULL, NULL, GrB_ABS_FP32, t, NULL)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :         // rdiff = sum (t)</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         52 :         GRB_TRY (GrB_reduce (&amp;rdiff, NULL, GrB_PLUS_MONOID_FP32, t, NULL)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :     }</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            :     // free workspace and return result</a>
+<a name="147"><span class="lineNum">     147 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          3 :     (*centrality) = r ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          3 :     LG_FREE_WORK ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          3 :     return (GrB_SUCCESS) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_SingleSourceShortestPath.c.func-sort-c.html b/src/algorithm/LAGr_SingleSourceShortestPath.c.func-sort-c.html
new file mode 100644
index 0000000000..b819f9b48a
--- /dev/null
+++ b/src/algorithm/LAGr_SingleSourceShortestPath.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_SingleSourceShortestPath.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+
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+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_SingleSourceShortestPath.c<span style="font-size: 80%;"> (<a href="LAGr_SingleSourceShortestPath.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_SingleSourceShortestPath.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SingleSourceShortestPath.c.gcov.html#75">LAGr_SingleSourceShortestPath</a></td>
+              <td class="coverFnHi">3955</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_SingleSourceShortestPath.c.func.html b/src/algorithm/LAGr_SingleSourceShortestPath.c.func.html
new file mode 100644
index 0000000000..45f2eeba7f
--- /dev/null
+++ b/src/algorithm/LAGr_SingleSourceShortestPath.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_SingleSourceShortestPath.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_SingleSourceShortestPath.c<span style="font-size: 80%;"> (<a href="LAGr_SingleSourceShortestPath.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_SingleSourceShortestPath.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SingleSourceShortestPath.c.gcov.html#75">LAGr_SingleSourceShortestPath</a></td>
+              <td class="coverFnHi">3955</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_SingleSourceShortestPath.c.gcov.html b/src/algorithm/LAGr_SingleSourceShortestPath.c.gcov.html
new file mode 100644
index 0000000000..fea90a2737
--- /dev/null
+++ b/src/algorithm/LAGr_SingleSourceShortestPath.c.gcov.html
@@ -0,0 +1,498 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_SingleSourceShortestPath.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_SingleSourceShortestPath.c<span style="font-size: 80%;"> (source / <a href="LAGr_SingleSourceShortestPath.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntry">161</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_SingleSourceShortestPath: single-source shortest path</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Jinhao Chen, Scott Kolodziej and Tim Davis, Texas A&amp;M</a>
+<a name="15"><span class="lineNum">      15 </span>            : // University.  Adapted from GraphBLAS Template Library (GBTL) by Scott</a>
+<a name="16"><span class="lineNum">      16 </span>            : // McMillan and Tze Meng Low.</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : //------------------------------------------------------------------------------</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // This is an Advanced algorithm (G-&gt;emin is required).</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // Single source shortest path with delta stepping.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // U. Sridhar, M. Blanco, R. Mayuranath, D. G. Spampinato, T. M. Low, and</a>
+<a name="25"><span class="lineNum">      25 </span>            : // S. McMillan, &quot;Delta-Stepping SSSP: From Vertices and Edges to GraphBLAS</a>
+<a name="26"><span class="lineNum">      26 </span>            : // Implementations,&quot; in 2019 IEEE International Parallel and Distributed</a>
+<a name="27"><span class="lineNum">      27 </span>            : // Processing Symposium Workshops (IPDPSW), 2019, pp. 241–250.</a>
+<a name="28"><span class="lineNum">      28 </span>            : // https://ieeexplore.ieee.org/document/8778222/references</a>
+<a name="29"><span class="lineNum">      29 </span>            : // https://arxiv.org/abs/1911.06895</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // LAGr_SingleSourceShortestPath computes the shortest path lengths from the</a>
+<a name="32"><span class="lineNum">      32 </span>            : // specified source vertex to all other vertices in the graph.</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // The parent vector is not computed; see LAGraph_BF_* instead.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // NOTE: this method gets stuck in an infinite loop when there are negative-</a>
+<a name="37"><span class="lineNum">      37 </span>            : // weight cycles in the graph.</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // FUTURE: a Basic algorithm that picks Delta automatically</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : #define LG_FREE_WORK        \</a>
+<a name="42"><span class="lineNum">      42 </span>            : {                           \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_free (&amp;AL) ;        \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_free (&amp;AH) ;        \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free (&amp;lBound) ;    \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free (&amp;uBound) ;    \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     GrB_free (&amp;tmasked) ;   \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     GrB_free (&amp;tReq) ;      \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_free (&amp;tless) ;     \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_free (&amp;s) ;         \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_free (&amp;reach) ;     \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_free (&amp;Empty) ;     \</a>
+<a name="53"><span class="lineNum">      53 </span>            : }</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            : #define LG_FREE_ALL         \</a>
+<a name="56"><span class="lineNum">      56 </span>            : {                           \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     LG_FREE_WORK ;          \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     GrB_free (&amp;t) ;         \</a>
+<a name="59"><span class="lineNum">      59 </span>            : }</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : #define setelement(s, k)                                                      \</a>
+<a name="64"><span class="lineNum">      64 </span>            : {                                                                             \</a>
+<a name="65"><span class="lineNum">      65 </span>            :     switch (tcode)                                                            \</a>
+<a name="66"><span class="lineNum">      66 </span>            :     {                                                                         \</a>
+<a name="67"><span class="lineNum">      67 </span>            :         default:                                                              \</a>
+<a name="68"><span class="lineNum">      68 </span>            :         case 0 : GrB_Scalar_setElement_INT32  (s, k * delta_int32 ) ; break ; \</a>
+<a name="69"><span class="lineNum">      69 </span>            :         case 1 : GrB_Scalar_setElement_INT64  (s, k * delta_int64 ) ; break ; \</a>
+<a name="70"><span class="lineNum">      70 </span>            :         case 2 : GrB_Scalar_setElement_UINT32 (s, k * delta_uint32) ; break ; \</a>
+<a name="71"><span class="lineNum">      71 </span>            :         case 3 : GrB_Scalar_setElement_UINT64 (s, k * delta_uint64) ; break ; \</a>
+<a name="72"><span class="lineNum">      72 </span>            :         case 4 : GrB_Scalar_setElement_FP32   (s, k * delta_fp32  ) ; break ; \</a>
+<a name="73"><span class="lineNum">      73 </span>            :         case 5 : GrB_Scalar_setElement_FP64   (s, k * delta_fp64  ) ; break ; \</a>
+<a name="74"><span class="lineNum">      74 </span>            :     }                                                                         \</a>
+<a name="75"><span class="lineNum">      75 </span>            : }</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">       3955 : int LAGr_SingleSourceShortestPath</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : (</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // output:</a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_Vector *path_length,    // path_length (i) is the length of the shortest</a>
+<a name="81"><span class="lineNum">      81 </span>            :                                 // path from the source vertex to vertex i</a>
+<a name="82"><span class="lineNum">      82 </span>            :     // input:</a>
+<a name="83"><span class="lineNum">      83 </span>            :     const LAGraph_Graph G,      // input graph, not modified</a>
+<a name="84"><span class="lineNum">      84 </span>            :     GrB_Index source,           // source vertex</a>
+<a name="85"><span class="lineNum">      85 </span>            :     GrB_Scalar Delta,           // delta value for delta stepping</a>
+<a name="86"><span class="lineNum">      86 </span>            :     char *msg</a>
+<a name="87"><span class="lineNum">      87 </span>            : )</a>
+<a name="88"><span class="lineNum">      88 </span>            : {</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // check inputs</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       3955 :     LG_CLEAR_MSG ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">       3955 :     GrB_Scalar lBound = NULL ;  // the threshold for GrB_select</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       3955 :     GrB_Scalar uBound = NULL ;  // the threshold for GrB_select</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       3955 :     GrB_Matrix AL = NULL ;      // graph containing the light weight edges</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">       3955 :     GrB_Matrix AH = NULL ;      // graph containing the heavy weight edges</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">       3955 :     GrB_Vector t = NULL ;       // tentative shortest path length</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">       3955 :     GrB_Vector tmasked = NULL ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">       3955 :     GrB_Vector tReq = NULL ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">       3955 :     GrB_Vector tless = NULL ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">       3955 :     GrB_Vector s = NULL ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">       3955 :     GrB_Vector reach = NULL ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">       3955 :     GrB_Vector Empty = NULL ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">       3955 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">       3955 :     LG_ASSERT (path_length != NULL &amp;&amp; Delta != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       3955 :     (*path_length) = NULL ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     GrB_Index nvals ;</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">       3955 :     LG_TRY (GrB_Scalar_nvals (&amp;nvals, Delta)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">       3955 :     LG_ASSERT_MSG (nvals == 1, GrB_EMPTY_OBJECT, &quot;Delta is missing&quot;) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">       3954 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     GrB_Index n ;</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       3954 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">       3954 :     LG_ASSERT_MSG (source &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="121"><span class="lineNum">     121 </span>            :     // initializations</a>
+<a name="122"><span class="lineNum">     122 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :     // get the type of the A matrix</a>
+<a name="125"><span class="lineNum">     125 </span>            :     GrB_Type etype ;</a>
+<a name="126"><span class="lineNum">     126 </span>            :     char typename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">       3954 :     LG_TRY (LAGraph_Matrix_TypeName (typename, A, msg)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">       3954 :     LG_TRY (LAGraph_TypeFromName (&amp;etype, typename, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">       3954 :     GRB_TRY (GrB_Scalar_new (&amp;lBound, etype)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">       3926 :     GRB_TRY (GrB_Scalar_new (&amp;uBound, etype)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">       3898 :     GRB_TRY (GrB_Vector_new (&amp;t, etype, n)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">       3870 :     GRB_TRY (GrB_Vector_new (&amp;tmasked, etype, n)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">       3842 :     GRB_TRY (GrB_Vector_new (&amp;tReq, etype, n)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">       3814 :     GRB_TRY (GrB_Vector_new (&amp;Empty, GrB_BOOL, n)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">       3786 :     GRB_TRY (GrB_Vector_new (&amp;tless, GrB_BOOL, n)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">       3758 :     GRB_TRY (GrB_Vector_new (&amp;s, GrB_BOOL, n)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">       3730 :     GRB_TRY (GrB_Vector_new (&amp;reach, GrB_BOOL, n)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="141"><span class="lineNum">     141 </span>            :     // optional hints for SuiteSparse:GraphBLAS</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">       3702 :     GRB_TRY (GxB_set (t, GxB_SPARSITY_CONTROL, GxB_BITMAP)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">       3674 :     GRB_TRY (GxB_set (tmasked, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">       3674 :     GRB_TRY (GxB_set (tReq, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">       3674 :     GRB_TRY (GxB_set (tless, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">       3674 :     GRB_TRY (GxB_set (s, GxB_SPARSITY_CONTROL, GxB_SPARSE)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">       3674 :     GRB_TRY (GxB_set (reach, GxB_SPARSITY_CONTROL, GxB_BITMAP)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : #endif</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // select the operators, and set t (:) = infinity</a>
+<a name="151"><span class="lineNum">     151 </span>            :     GrB_IndexUnaryOp ne, le, ge, lt, gt ;</a>
+<a name="152"><span class="lineNum">     152 </span>            :     GrB_BinaryOp less_than ;</a>
+<a name="153"><span class="lineNum">     153 </span>            :     GrB_Semiring min_plus ;</a>
+<a name="154"><span class="lineNum">     154 </span>            :     int tcode ;</a>
+<a name="155"><span class="lineNum">     155 </span>            :     int32_t  delta_int32  ;</a>
+<a name="156"><span class="lineNum">     156 </span>            :     int64_t  delta_int64  ;</a>
+<a name="157"><span class="lineNum">     157 </span>            :     uint32_t delta_uint32 ;</a>
+<a name="158"><span class="lineNum">     158 </span>            :     uint64_t delta_uint64 ;</a>
+<a name="159"><span class="lineNum">     159 </span>            :     float    delta_fp32   ;</a>
+<a name="160"><span class="lineNum">     160 </span>            :     double   delta_fp64   ;</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">       3646 :     bool negative_edge_weights = true ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">       3646 :     if (etype == GrB_INT32)</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :     {</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">       3419 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_int32, Delta)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">       3419 :         GRB_TRY (GrB_assign (t, NULL, NULL, (int32_t) INT32_MAX,</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">       3391 :         ne = GrB_VALUENE_INT32 ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">       3391 :         le = GrB_VALUELE_INT32 ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">       3391 :         ge = GrB_VALUEGE_INT32 ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">       3391 :         lt = GrB_VALUELT_INT32 ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">       3391 :         gt = GrB_VALUEGT_INT32 ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">       3391 :         less_than = GrB_LT_INT32 ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">       3391 :         min_plus = GrB_MIN_PLUS_SEMIRING_INT32 ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">       3391 :         tcode = 0 ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :     }</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">        227 :     else if (etype == GrB_INT64)</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :     {</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         48 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_int64, Delta)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         48 :         GRB_TRY (GrB_assign (t, NULL, NULL, (int64_t) INT64_MAX,</span></a>
+<a name="182"><span class="lineNum">     182 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         48 :         ne = GrB_VALUENE_INT64 ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         48 :         le = GrB_VALUELE_INT64 ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         48 :         ge = GrB_VALUEGE_INT64 ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         48 :         lt = GrB_VALUELT_INT64 ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         48 :         gt = GrB_VALUEGT_INT64 ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         48 :         less_than = GrB_LT_INT64 ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         48 :         min_plus = GrB_MIN_PLUS_SEMIRING_INT64 ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         48 :         tcode = 1 ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :     }</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        179 :     else if (etype == GrB_UINT32)</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :     {</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         12 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_uint32, Delta)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         12 :         GRB_TRY (GrB_assign (t, NULL, NULL, (uint32_t) UINT32_MAX,</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         12 :         ne = GrB_VALUENE_UINT32 ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         12 :         le = GrB_VALUELE_UINT32 ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         12 :         ge = GrB_VALUEGE_UINT32 ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">         12 :         lt = GrB_VALUELT_UINT32 ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         12 :         gt = GrB_VALUEGT_UINT32 ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         12 :         less_than = GrB_LT_UINT32 ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         12 :         min_plus = GrB_MIN_PLUS_SEMIRING_UINT32 ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         12 :         tcode = 2 ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">         12 :         negative_edge_weights = false ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     }</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">        167 :     else if (etype == GrB_UINT64)</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :     {</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">         12 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_uint64, Delta)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         12 :         GRB_TRY (GrB_assign (t, NULL, NULL, (uint64_t) UINT64_MAX,</span></a>
+<a name="211"><span class="lineNum">     211 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         12 :         ne = GrB_VALUENE_UINT64 ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         12 :         le = GrB_VALUELE_UINT64 ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         12 :         ge = GrB_VALUEGE_UINT64 ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">         12 :         lt = GrB_VALUELT_UINT64 ;</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         12 :         gt = GrB_VALUEGT_UINT64 ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         12 :         less_than = GrB_LT_UINT64 ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         12 :         min_plus = GrB_MIN_PLUS_SEMIRING_UINT64 ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         12 :         tcode = 3 ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">         12 :         negative_edge_weights = false ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :     }</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">        155 :     else if (etype == GrB_FP32)</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :     {</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          9 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_fp32, Delta)) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          9 :         GRB_TRY (GrB_assign (t, NULL, NULL, (float) INFINITY,</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          9 :         ne = GrB_VALUENE_FP32 ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          9 :         le = GrB_VALUELE_FP32 ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          9 :         ge = GrB_VALUEGE_FP32 ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          9 :         lt = GrB_VALUELT_FP32 ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          9 :         gt = GrB_VALUEGT_FP32 ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          9 :         less_than = GrB_LT_FP32 ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          9 :         min_plus = GrB_MIN_PLUS_SEMIRING_FP32 ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          9 :         tcode = 4 ;</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :     }</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        146 :     else if (etype == GrB_FP64)</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :     {</a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">        145 :         GRB_TRY (GrB_Scalar_extractElement (&amp;delta_fp64, Delta)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">        145 :         GRB_TRY (GrB_assign (t, NULL, NULL, (double) INFINITY,</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :             GrB_ALL, n, NULL)) ;</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">        145 :         ne = GrB_VALUENE_FP64 ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">        145 :         le = GrB_VALUELE_FP64 ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        145 :         ge = GrB_VALUEGE_FP64 ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">        145 :         lt = GrB_VALUELT_FP64 ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">        145 :         gt = GrB_VALUEGT_FP64 ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">        145 :         less_than = GrB_LT_FP64 ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        145 :         min_plus = GrB_MIN_PLUS_SEMIRING_FP64 ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        145 :         tcode = 5 ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :     }</a>
+<a name="250"><span class="lineNum">     250 </span>            :     else</a>
+<a name="251"><span class="lineNum">     251 </span>            :     {</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            :     }</a>
+<a name="254"><span class="lineNum">     254 </span>            : </a>
+<a name="255"><span class="lineNum">     255 </span>            :     // check if the graph might have negative edge weights</a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">       3617 :     if (negative_edge_weights)</span></a>
+<a name="257"><span class="lineNum">     257 </span>            :     {</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">       3593 :         double emin = -1 ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">       3593 :         if (G-&gt;emin != NULL &amp;&amp;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">        452 :             (G-&gt;emin_state == LAGraph_VALUE ||</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">        238 :              G-&gt;emin_state == LAGraph_BOUND))</span></a>
+<a name="262"><span class="lineNum">     262 </span>            :         {</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">        214 :             GRB_TRY (GrB_Scalar_extractElement_FP64 (&amp;emin, G-&gt;emin)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span>            :         }</a>
+<a name="265"><span class="lineNum">     265 </span>            : //      else</a>
+<a name="266"><span class="lineNum">     266 </span>            : //      {</a>
+<a name="267"><span class="lineNum">     267 </span>            : //          // a future Basic algorithm should compute G-&gt;emin and perhaps</a>
+<a name="268"><span class="lineNum">     268 </span>            : //          // G-&gt;emax, then compute Delta automatically.</a>
+<a name="269"><span class="lineNum">     269 </span>            : //      }</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">       3593 :         negative_edge_weights = (emin &lt; 0) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span>            :     }</a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span>            :     // t (src) = 0</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">       3617 :     GRB_TRY (GrB_Vector_setElement (t, 0, source)) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     // reach (src) = true</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">       3603 :     GRB_TRY (GrB_Vector_setElement (reach, true, source)) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span>            : </a>
+<a name="279"><span class="lineNum">     279 </span>            :     // s (src) = true</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">       3589 :     GRB_TRY (GrB_Vector_setElement (s, true, source)) ;</span></a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :     // AL = A .* (A &lt;= Delta)</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">       3547 :     GRB_TRY (GrB_Matrix_new (&amp;AL, etype, n, n)) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">       3505 :     GRB_TRY (GrB_select (AL, NULL, NULL, le, A, Delta, NULL)) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">       3454 :     GRB_TRY (GrB_wait (AL, GrB_MATERIALIZE)) ;</span></a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span>            :     // FUTURE: costly for some problems, taking up to 50% of the total time:</a>
+<a name="288"><span class="lineNum">     288 </span>            :     // AH = A .* (A &gt; Delta)</a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">       3454 :     GRB_TRY (GrB_Matrix_new (&amp;AH, etype, n, n)) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">       3412 :     GRB_TRY (GrB_select (AH, NULL, NULL, gt, A, Delta, NULL)) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">       3336 :     GRB_TRY (GrB_wait (AH, GrB_MATERIALIZE)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span>            : </a>
+<a name="293"><span class="lineNum">     293 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="294"><span class="lineNum">     294 </span>            :     // while (t &gt;= step*Delta) not empty</a>
+<a name="295"><span class="lineNum">     295 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">       3336 :     for (int64_t step = 0 ; ; step++)</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">       9573 :     {</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span>            :         //----------------------------------------------------------------------</a>
+<a name="301"><span class="lineNum">     301 </span>            :         // tmasked = all entries in t&lt;reach&gt; that are less than (step+1)*Delta</a>
+<a name="302"><span class="lineNum">     302 </span>            :         //----------------------------------------------------------------------</a>
+<a name="303"><span class="lineNum">     303 </span>            : </a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">      12909 :         setelement (uBound, (step+1)) ;        // uBound = (step+1) * Delta</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">      15596 :         GRB_TRY (GrB_Vector_clear (tmasked)) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span>            :         // tmasked&lt;reach&gt; = t</a>
+<a name="308"><span class="lineNum">     308 </span>            :         // FUTURE: this is costly, typically using Method 06s in SuiteSparse,</a>
+<a name="309"><span class="lineNum">     309 </span>            :         // which is a very general-purpose one.  Write a specialized kernel to</a>
+<a name="310"><span class="lineNum">     310 </span>            :         // exploit the fact that reach and t are bitmap and tmasked starts</a>
+<a name="311"><span class="lineNum">     311 </span>            :         // empty, or fuse this assignment with the GrB_select below.</a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">      12779 :         GRB_TRY (GrB_assign (tmasked, reach, NULL, t, GrB_ALL, n, NULL)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span>            :         // tmasked = select (tmasked &lt; (step+1)*Delta)</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">      12511 :         GRB_TRY (GrB_select (tmasked, NULL, NULL, lt, tmasked, uBound, NULL)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span>            :         // --- alternative:</a>
+<a name="316"><span class="lineNum">     316 </span>            :         // FUTURE this is slower than the above but should be much faster.</a>
+<a name="317"><span class="lineNum">     317 </span>            :         // GrB_select is computing a bitmap result then converting it to</a>
+<a name="318"><span class="lineNum">     318 </span>            :         // sparse.  t and reach are both bitmap and tmasked finally sparse.</a>
+<a name="319"><span class="lineNum">     319 </span>            :         // tmasked&lt;reach&gt; = select (t &lt; (step+1)*Delta)</a>
+<a name="320"><span class="lineNum">     320 </span>            :         // GRB_TRY (GrB_select (tmasked, reach, NULL, lt, t, uBound, NULL)) ;</a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span>            :         GrB_Index tmasked_nvals ;</a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">      12343 :         GRB_TRY (GrB_Vector_nvals (&amp;tmasked_nvals, tmasked)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span>            :         //----------------------------------------------------------------------</a>
+<a name="326"><span class="lineNum">     326 </span>            :         // continue while the current bucket (tmasked) is not empty</a>
+<a name="327"><span class="lineNum">     327 </span>            :         //----------------------------------------------------------------------</a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">      25660 :         while (tmasked_nvals &gt; 0)</span></a>
+<a name="330"><span class="lineNum">     330 </span>            :         {</a>
+<a name="331"><span class="lineNum">     331 </span>            :             // tReq = AL'*tmasked using the min_plus semiring</a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">      20033 :             GRB_TRY (GrB_vxm (tReq, NULL, NULL, min_plus, tmasked, AL, NULL)) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span>            : </a>
+<a name="334"><span class="lineNum">     334 </span>            :             // s&lt;struct(tmasked)&gt; = true</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">      18360 :             GRB_TRY (GrB_assign (s, tmasked, NULL, (bool) true, GrB_ALL, n,</span></a>
+<a name="336"><span class="lineNum">     336 </span>            :                 GrB_DESC_S)) ;</a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span>            :             // if nvals (tReq) is 0, no need to continue the rest of this loop</a>
+<a name="339"><span class="lineNum">     339 </span>            :             GrB_Index tReq_nvals ;</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">      18153 :             GRB_TRY (GrB_Vector_nvals (&amp;tReq_nvals, tReq)) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">      20223 :             if (tReq_nvals == 0) break ;</span></a>
+<a name="342"><span class="lineNum">     342 </span>            : </a>
+<a name="343"><span class="lineNum">     343 </span>            :             // tless = (tReq .&lt; t) using set intersection</a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">      16523 :             GRB_TRY (GrB_eWiseMult (tless, NULL, NULL, less_than, tReq, t,</span></a>
+<a name="345"><span class="lineNum">     345 </span>            :                 NULL)) ;</a>
+<a name="346"><span class="lineNum">     346 </span>            : </a>
+<a name="347"><span class="lineNum">     347 </span>            :             // remove explicit zeros from tless so it can be used as a</a>
+<a name="348"><span class="lineNum">     348 </span>            :             // structural mask</a>
+<a name="349"><span class="lineNum">     349 </span>            :             GrB_Index tless_nvals ;</a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">      16310 :             GRB_TRY (GrB_select (tless, NULL, NULL, ne, tless, 0, NULL)) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">      16103 :             GRB_TRY (GrB_Vector_nvals (&amp;tless_nvals, tless)) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">      16103 :             if (tless_nvals == 0) break ;</span></a>
+<a name="353"><span class="lineNum">     353 </span>            : </a>
+<a name="354"><span class="lineNum">     354 </span>            :             // update reachable node list/mask</a>
+<a name="355"><span class="lineNum">     355 </span>            :             // reach&lt;struct(tless)&gt; = true</a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">      14033 :             GRB_TRY (GrB_assign (reach, tless, NULL, (bool) true, GrB_ALL, n,</span></a>
+<a name="357"><span class="lineNum">     357 </span>            :                 GrB_DESC_S)) ;</a>
+<a name="358"><span class="lineNum">     358 </span>            : </a>
+<a name="359"><span class="lineNum">     359 </span>            :             // tmasked&lt;struct(tless)&gt; = select (tReq &lt; (step+1)*Delta)</a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">      14033 :             GRB_TRY (GrB_Vector_clear (tmasked)) ;</span></a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">      13985 :             GRB_TRY (GrB_select (tmasked, tless, NULL, lt, tReq, uBound,</span></a>
+<a name="362"><span class="lineNum">     362 </span>            :                 GrB_DESC_S)) ;</a>
+<a name="363"><span class="lineNum">     363 </span>            : </a>
+<a name="364"><span class="lineNum">     364 </span>            :             // For general graph with some negative weights:</a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">      13581 :             if (negative_edge_weights)</span></a>
+<a name="366"><span class="lineNum">     366 </span>            :             {</a>
+<a name="367"><span class="lineNum">     367 </span>            :                 // If all entries of the graph are known to be positive, and</a>
+<a name="368"><span class="lineNum">     368 </span>            :                 // the entries of tmasked are at least step*Delta, tReq =</a>
+<a name="369"><span class="lineNum">     369 </span>            :                 // tmasked min.+ AL must be &gt;= step*Delta.  Therefore, there is</a>
+<a name="370"><span class="lineNum">     370 </span>            :                 // no need to perform this GrB_select with ge to find tmasked</a>
+<a name="371"><span class="lineNum">     371 </span>            :                 // &gt;= step*Delta from tReq.</a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">      10710 :                 setelement (lBound, (step)) ;  // lBound = step*Delta</span></a>
+<a name="373"><span class="lineNum">     373 </span>            :                 // tmasked = select entries in tmasked that are &gt;= step*Delta</a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">      10710 :                 GRB_TRY (GrB_select (tmasked, NULL, NULL, ge, tmasked, lBound,</span></a>
+<a name="375"><span class="lineNum">     375 </span>            :                     NULL)) ;</a>
+<a name="376"><span class="lineNum">     376 </span>            :             }</a>
+<a name="377"><span class="lineNum">     377 </span>            : </a>
+<a name="378"><span class="lineNum">     378 </span>            :             // t&lt;struct(tless)&gt; = tReq</a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">      13317 :             GRB_TRY (GrB_assign (t, tless, NULL, tReq, GrB_ALL, n, GrB_DESC_S));</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">      13317 :             GRB_TRY (GrB_Vector_nvals (&amp;tmasked_nvals, tmasked)) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span>            :         }</a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span>            :         // tmasked&lt;s&gt; = t</a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">      10670 :         GRB_TRY (GrB_Vector_clear (tmasked)) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">      10638 :         GRB_TRY (GrB_assign (tmasked, s, NULL, t, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="386"><span class="lineNum">     386 </span>            : </a>
+<a name="387"><span class="lineNum">     387 </span>            :         // tReq = AH'*tmasked using the min_plus semiring</a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">      10404 :         GRB_TRY (GrB_vxm (tReq, NULL, NULL, min_plus, tmasked, AH, NULL)) ;</span></a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span>            :         // tless = (tReq .&lt; t) using set intersection</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">      10212 :         GRB_TRY (GrB_eWiseMult (tless, NULL, NULL, less_than, tReq, t, NULL)) ;</span></a>
+<a name="392"><span class="lineNum">     392 </span>            : </a>
+<a name="393"><span class="lineNum">     393 </span>            :         // t&lt;tless&gt; = tReq, which computes t = min (t, tReq)</a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">      10116 :         GRB_TRY (GrB_assign (t, tless, NULL, tReq, GrB_ALL, n, NULL)) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span>            : </a>
+<a name="396"><span class="lineNum">     396 </span>            :         //----------------------------------------------------------------------</a>
+<a name="397"><span class="lineNum">     397 </span>            :         // find out how many left to be computed</a>
+<a name="398"><span class="lineNum">     398 </span>            :         //----------------------------------------------------------------------</a>
+<a name="399"><span class="lineNum">     399 </span>            : </a>
+<a name="400"><span class="lineNum">     400 </span>            :         // update reachable node list</a>
+<a name="401"><span class="lineNum">     401 </span>            :         // reach&lt;tless&gt; = true</a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">      10116 :         GRB_TRY (GrB_assign (reach, tless, NULL, (bool) true, GrB_ALL, n,</span></a>
+<a name="403"><span class="lineNum">     403 </span>            :             NULL)) ;</a>
+<a name="404"><span class="lineNum">     404 </span>            : </a>
+<a name="405"><span class="lineNum">     405 </span>            :         // remove previous buckets</a>
+<a name="406"><span class="lineNum">     406 </span>            :         // reach&lt;struct(s)&gt; = Empty</a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">      10116 :         GRB_TRY (GrB_assign (reach, s, NULL, Empty, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="408"><span class="lineNum">     408 </span>            :         GrB_Index nreach ;</a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">      10110 :         GRB_TRY (GrB_Vector_nvals (&amp;nreach, reach)) ;</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">      10110 :         if (nreach == 0) break ;</span></a>
+<a name="411"><span class="lineNum">     411 </span>            : </a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">       9591 :         GRB_TRY (GrB_Vector_clear (s)) ; // clear s for the next iteration</span></a>
+<a name="413"><span class="lineNum">     413 </span>            :     }</a>
+<a name="414"><span class="lineNum">     414 </span>            : </a>
+<a name="415"><span class="lineNum">     415 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="416"><span class="lineNum">     416 </span>            :     // free workspace and return result</a>
+<a name="417"><span class="lineNum">     417 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="418"><span class="lineNum">     418 </span>            : </a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">        519 :     (*path_length) = t ;</span></a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">        519 :     LG_FREE_WORK ;</span></a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">        519 :     return (GrB_SUCCESS) ;</span></a>
+<a name="422"><span class="lineNum">     422 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_TriangleCount.c.func-sort-c.html b/src/algorithm/LAGr_TriangleCount.c.func-sort-c.html
new file mode 100644
index 0000000000..176c1aef08
--- /dev/null
+++ b/src/algorithm/LAGr_TriangleCount.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_TriangleCount.c<span style="font-size: 80%;"> (<a href="LAGr_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_TriangleCount.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_TriangleCount.c.gcov.html#71">tricount_prep</a></td>
+              <td class="coverFnHi">3074</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_TriangleCount.c.gcov.html#115">LAGr_TriangleCount</a></td>
+              <td class="coverFnHi">4401</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_TriangleCount.c.func.html b/src/algorithm/LAGr_TriangleCount.c.func.html
new file mode 100644
index 0000000000..4450e4b761
--- /dev/null
+++ b/src/algorithm/LAGr_TriangleCount.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_TriangleCount.c<span style="font-size: 80%;"> (<a href="LAGr_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_TriangleCount.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_TriangleCount.c.gcov.html#115">LAGr_TriangleCount</a></td>
+              <td class="coverFnHi">4401</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_TriangleCount.c.gcov.html#71">tricount_prep</a></td>
+              <td class="coverFnHi">3074</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGr_TriangleCount.c.gcov.html b/src/algorithm/LAGr_TriangleCount.c.gcov.html
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+++ b/src/algorithm/LAGr_TriangleCount.c.gcov.html
@@ -0,0 +1,442 @@
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGr_TriangleCount.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGr_TriangleCount.c<span style="font-size: 80%;"> (source / <a href="LAGr_TriangleCount.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntry">103</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_TriangleCount: Triangle counting using various methods</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Count the number of triangles in a graph,</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // This is an Advanced algorithm (G-&gt;nself_edges, G-&gt;out_degree,</a>
+<a name="21"><span class="lineNum">      21 </span>            : // G-&gt;is_symmetric_structure are required).</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // Given a symmetric graph A with no-self edges, LAGr_TriangleCount counts the</a>
+<a name="24"><span class="lineNum">      24 </span>            : // number of triangles in the graph.  A triangle is a clique of size three,</a>
+<a name="25"><span class="lineNum">      25 </span>            : // that is, 3 nodes that are all pairwise connected.</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // One of 6 methods are used, defined below where L and U are the strictly</a>
+<a name="28"><span class="lineNum">      28 </span>            : // lower and strictly upper triangular parts of the symmetrix matrix A,</a>
+<a name="29"><span class="lineNum">      29 </span>            : // respectively.  Each method computes the same result, ntri:</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //  0:  default:    use the default method (currently method Sandia_LUT)</a>
+<a name="32"><span class="lineNum">      32 </span>            : //  1:  Burkhardt:  ntri = sum (sum ((A^2) .* A)) / 6</a>
+<a name="33"><span class="lineNum">      33 </span>            : //  2:  Cohen:      ntri = sum (sum ((L * U) .* A)) / 2</a>
+<a name="34"><span class="lineNum">      34 </span>            : //  3:  Sandia_LL:  ntri = sum (sum ((L * L) .* L))</a>
+<a name="35"><span class="lineNum">      35 </span>            : //  4:  Sandia_UU:  ntri = sum (sum ((U * U) .* U))</a>
+<a name="36"><span class="lineNum">      36 </span>            : //  5:  Sandia_LUT: ntri = sum (sum ((L * U') .* L)).  Note that L=U'.</a>
+<a name="37"><span class="lineNum">      37 </span>            : //  6:  Sandia_ULT: ntri = sum (sum ((U * L') .* U)).  Note that U=L'.</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // A is a square symmetric matrix, of any type.  Its values are ignored.</a>
+<a name="40"><span class="lineNum">      40 </span>            : // Results are undefined for methods 1 and 2 if self-edges exist in A.  Results</a>
+<a name="41"><span class="lineNum">      41 </span>            : // are undefined for all methods if A is unsymmetric.</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : // The Sandia_* methods all tend to be faster than the Burkhardt or Cohen</a>
+<a name="44"><span class="lineNum">      44 </span>            : // methods.  For the largest graphs, Sandia_LUT tends to be fastest, except for</a>
+<a name="45"><span class="lineNum">      45 </span>            : // the GAP-urand matrix, where the saxpy-based Sandia_LL method (L*L.*L) is</a>
+<a name="46"><span class="lineNum">      46 </span>            : // fastest.  For many small graphs, the saxpy-based Sandia_LL and Sandia_UU</a>
+<a name="47"><span class="lineNum">      47 </span>            : // methods are often faster that the dot-product-based methods.</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : // Reference for the Burkhardt method:  Burkhardt, Paul. &quot;Graphing Trillions of</a>
+<a name="50"><span class="lineNum">      50 </span>            : // Triangles.&quot; Information Visualization 16, no. 3 (July 2017): 157–66.</a>
+<a name="51"><span class="lineNum">      51 </span>            : // https://doi.org/10.1177/1473871616666393.</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : // Reference for the Cohen method:  J. Cohen, &quot;Graph twiddling in a mapreduce</a>
+<a name="54"><span class="lineNum">      54 </span>            : // world,&quot; Computing in Science &amp; Engineering, vol. 11, no. 4, pp. 29–41, 2009.</a>
+<a name="55"><span class="lineNum">      55 </span>            : // https://doi.org/10.1109/MCSE.2009.120</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : // Reference for the &quot;Sandia_*&quot; methods: Wolf, Deveci, Berry, Hammond,</a>
+<a name="58"><span class="lineNum">      58 </span>            : // Rajamanickam, &quot;Fast linear algebra- based triangle counting with</a>
+<a name="59"><span class="lineNum">      59 </span>            : // KokkosKernels&quot;, IEEE HPEC'17, https://dx.doi.org/10.1109/HPEC.2017.8091043</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : #define LG_FREE_ALL             \</a>
+<a name="62"><span class="lineNum">      62 </span>            : {                               \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     GrB_free (L) ;              \</a>
+<a name="64"><span class="lineNum">      64 </span>            :     GrB_free (U) ;              \</a>
+<a name="65"><span class="lineNum">      65 </span>            : }</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // tricount_prep: construct L and U for LAGr_TriangleCount</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">       3074 : static int tricount_prep</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : (</a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_Matrix *L,      // if present, compute L = tril (A,-1)</a>
+<a name="76"><span class="lineNum">      76 </span>            :     GrB_Matrix *U,      // if present, compute U = triu (A, 1)</a>
+<a name="77"><span class="lineNum">      77 </span>            :     GrB_Matrix A,       // input matrix</a>
+<a name="78"><span class="lineNum">      78 </span>            :     char *msg</a>
+<a name="79"><span class="lineNum">      79 </span>            : )</a>
+<a name="80"><span class="lineNum">      80 </span>            : {</a>
+<a name="81"><span class="lineNum">      81 </span>            :     GrB_Index n ;</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       3074 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">       3074 :     if (L != NULL)</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :     {</a>
+<a name="86"><span class="lineNum">      86 </span>            :         // L = tril (A,-1)</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">       2714 :         GRB_TRY (GrB_Matrix_new (L, GrB_BOOL, n, n)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">       2282 :         GRB_TRY (GrB_select (*L, NULL, NULL, GrB_TRIL, A, (int64_t) (-1),</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :             NULL)) ;</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">       1823 :         GRB_TRY (GrB_Matrix_wait (*L, GrB_MATERIALIZE)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">       2183 :     if (U != NULL)</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :     {</a>
+<a name="95"><span class="lineNum">      95 </span>            :         // U = triu (A,1)</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       1986 :         GRB_TRY (GrB_Matrix_new (U, GrB_BOOL, n, n)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       1527 :         GRB_TRY (GrB_select (*U, NULL, NULL, GrB_TRIU, A, (int64_t) 1, NULL)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">       1054 :         GRB_TRY (GrB_Matrix_wait (*U, GrB_MATERIALIZE)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     }</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">       1251 :     return (GrB_SUCCESS) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            : //------------------------------------------------------------------------------</a>
+<a name="104"><span class="lineNum">     104 </span>            : // LAGraph_tricount: count the number of triangles in a graph</a>
+<a name="105"><span class="lineNum">     105 </span>            : //------------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            : #undef  LG_FREE_ALL</a>
+<a name="108"><span class="lineNum">     108 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="109"><span class="lineNum">     109 </span>            : {                                           \</a>
+<a name="110"><span class="lineNum">     110 </span>            :     GrB_free (&amp;C) ;                         \</a>
+<a name="111"><span class="lineNum">     111 </span>            :     GrB_free (&amp;L) ;                         \</a>
+<a name="112"><span class="lineNum">     112 </span>            :     GrB_free (&amp;T) ;                         \</a>
+<a name="113"><span class="lineNum">     113 </span>            :     GrB_free (&amp;U) ;                         \</a>
+<a name="114"><span class="lineNum">     114 </span>            :     LAGraph_Free ((void **) &amp;P, NULL) ;     \</a>
+<a name="115"><span class="lineNum">     115 </span>            : }</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       4401 : int LAGr_TriangleCount</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : (</a>
+<a name="119"><span class="lineNum">     119 </span>            :     // output:</a>
+<a name="120"><span class="lineNum">     120 </span>            :     uint64_t *ntriangles,</a>
+<a name="121"><span class="lineNum">     121 </span>            :     // input:</a>
+<a name="122"><span class="lineNum">     122 </span>            :     const LAGraph_Graph G,</a>
+<a name="123"><span class="lineNum">     123 </span>            :     LAGr_TriangleCount_Method *p_method,</a>
+<a name="124"><span class="lineNum">     124 </span>            :     LAGr_TriangleCount_Presort *p_presort,</a>
+<a name="125"><span class="lineNum">     125 </span>            :     char *msg</a>
+<a name="126"><span class="lineNum">     126 </span>            : )</a>
+<a name="127"><span class="lineNum">     127 </span>            : {</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="130"><span class="lineNum">     130 </span>            :     // check inputs</a>
+<a name="131"><span class="lineNum">     131 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">       4401 :     LG_CLEAR_MSG ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">       4401 :     GrB_Matrix C = NULL, L = NULL, U = NULL, T = NULL ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">       4401 :     int64_t *P = NULL ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :     // get the method</a>
+<a name="138"><span class="lineNum">     138 </span>            :     LAGr_TriangleCount_Method method ;</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">       4401 :     method = (p_method == NULL) ? LAGr_TriangleCount_AutoMethod : (*p_method) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">       4401 :     LG_ASSERT_MSG (</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     method == LAGr_TriangleCount_AutoMethod ||  // 0: use auto method</a>
+<a name="142"><span class="lineNum">     142 </span>            :     method == LAGr_TriangleCount_Burkhardt  ||  // 1: sum (sum ((A^2) .* A))/6</a>
+<a name="143"><span class="lineNum">     143 </span>            :     method == LAGr_TriangleCount_Cohen      ||  // 2: sum (sum ((L * U) .*A))/2</a>
+<a name="144"><span class="lineNum">     144 </span>            :     method == LAGr_TriangleCount_Sandia_LL  ||  // 3: sum (sum ((L * L) .* L))</a>
+<a name="145"><span class="lineNum">     145 </span>            :     method == LAGr_TriangleCount_Sandia_UU  ||  // 4: sum (sum ((U * U) .* U))</a>
+<a name="146"><span class="lineNum">     146 </span>            :     method == LAGr_TriangleCount_Sandia_LUT ||  // 5: sum (sum ((L * U') .* L))</a>
+<a name="147"><span class="lineNum">     147 </span>            :     method == LAGr_TriangleCount_Sandia_ULT,    // 6: sum (sum ((U * L') .* U))</a>
+<a name="148"><span class="lineNum">     148 </span>            :     GrB_INVALID_VALUE, &quot;method is invalid&quot;) ;</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // get the presort</a>
+<a name="151"><span class="lineNum">     151 </span>            :     LAGr_TriangleCount_Presort presort ;</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">       4392 :     presort = (p_presort == NULL) ? LAGr_TriangleCount_AutoSort : (*p_presort) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">       4392 :     LG_ASSERT_MSG (</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :     presort == LAGr_TriangleCount_NoSort     ||</a>
+<a name="155"><span class="lineNum">     155 </span>            :     presort == LAGr_TriangleCount_Ascending  ||</a>
+<a name="156"><span class="lineNum">     156 </span>            :     presort == LAGr_TriangleCount_Descending ||</a>
+<a name="157"><span class="lineNum">     157 </span>            :     presort == LAGr_TriangleCount_AutoSort,</a>
+<a name="158"><span class="lineNum">     158 </span>            :     GrB_INVALID_VALUE, &quot;presort is invalid&quot;) ;</a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">       4383 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">       4383 :     LG_ASSERT (ntriangles != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">       4383 :     LG_ASSERT (G-&gt;nself_edges == 0, LAGRAPH_NO_SELF_EDGES_ALLOWED) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">       4383 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="166"><span class="lineNum">     166 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="167"><span class="lineNum">     167 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="168"><span class="lineNum">     168 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">       4383 :     if (method == LAGr_TriangleCount_AutoMethod)</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :     {</a>
+<a name="172"><span class="lineNum">     172 </span>            :         // AutoMethod: use default, Sandia_LUT: sum (sum ((L * U') .* L))</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">       1040 :         method = LAGr_TriangleCount_Sandia_LUT ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :     }</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     // only the Sandia_* methods can benefit from the presort</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">       4383 :     bool method_can_use_presort =</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">       3836 :     method == LAGr_TriangleCount_Sandia_LL || // sum (sum ((L * L) .* L))</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">       3289 :     method == LAGr_TriangleCount_Sandia_UU || // sum (sum ((U * U) .* U))</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">       8219 :     method == LAGr_TriangleCount_Sandia_LUT || // sum (sum ((L * U') .* L))</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :     method == LAGr_TriangleCount_Sandia_ULT ; // sum (sum ((U * L') .* U))</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">       4383 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">       4383 :     GrB_Vector Degree = G-&gt;out_degree ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">       4383 :     bool auto_sort = (presort == LAGr_TriangleCount_AutoSort) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">       4383 :     if (auto_sort &amp;&amp; method_can_use_presort)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     {</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">       1258 :         LG_ASSERT_MSG (Degree != NULL,</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :             LAGRAPH_NOT_CACHED, &quot;G-&gt;out_degree is required&quot;) ;</a>
+<a name="191"><span class="lineNum">     191 </span>            :     }</a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            :     // initializations</a>
+<a name="195"><span class="lineNum">     195 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     GrB_Index n ;</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">       4379 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">       4379 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_INT64, n, n)) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">       3776 :     GrB_Semiring semiring = GxB_PLUS_PAIR_INT64 ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :     #else</a>
+<a name="203"><span class="lineNum">     203 </span>            :     GrB_Semiring semiring = LAGraph_plus_one_int64 ;</a>
+<a name="204"><span class="lineNum">     204 </span>            :     #endif</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">       3776 :     GrB_Monoid monoid = GrB_PLUS_MONOID_INT64 ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="208"><span class="lineNum">     208 </span>            :     // heuristic sort rule</a>
+<a name="209"><span class="lineNum">     209 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">       3776 :     if (!method_can_use_presort)</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :     {</a>
+<a name="213"><span class="lineNum">     213 </span>            :         // no sorting for the Burkhardt and Cohen methods: presort parameter</a>
+<a name="214"><span class="lineNum">     214 </span>            :         // is ignored.</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">        691 :         presort = LAGr_TriangleCount_NoSort ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :     }</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">       3085 :     else if (auto_sort)</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :     {</a>
+<a name="219"><span class="lineNum">     219 </span>            :         // auto selection of sorting method for Sandia_* methods</a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">       1083 :         presort = LAGr_TriangleCount_NoSort ; // default is not to sort</span></a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">       1083 :         if (method_can_use_presort)</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :         {</a>
+<a name="224"><span class="lineNum">     224 </span>            :             // This rule is very similar to Scott Beamer's rule in the GAP TC</a>
+<a name="225"><span class="lineNum">     225 </span>            :             // benchmark, except that it is extended to handle the ascending</a>
+<a name="226"><span class="lineNum">     226 </span>            :             // sort needed by methods 3 and 5.  It also uses a stricter rule,</a>
+<a name="227"><span class="lineNum">     227 </span>            :             // since the performance of triangle counting in SuiteSparse:</a>
+<a name="228"><span class="lineNum">     228 </span>            :             // GraphBLAS is less sensitive to the sorting as compared to the</a>
+<a name="229"><span class="lineNum">     229 </span>            :             // GAP algorithm.  This is because the dot products in SuiteSparse:</a>
+<a name="230"><span class="lineNum">     230 </span>            :             // GraphBLAS use binary search if one vector is very sparse</a>
+<a name="231"><span class="lineNum">     231 </span>            :             // compared to the other.  As a result, SuiteSparse:GraphBLAS needs</a>
+<a name="232"><span class="lineNum">     232 </span>            :             // the sort for fewer matrices, as compared to the GAP algorithm.</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :             // With this rule, the GAP-kron and GAP-twitter matrices are</a>
+<a name="235"><span class="lineNum">     235 </span>            :             // sorted, and the others remain unsorted.  With the rule in the</a>
+<a name="236"><span class="lineNum">     236 </span>            :             // GAP tc.cc benchmark, GAP-kron and GAP-twitter are sorted, and so</a>
+<a name="237"><span class="lineNum">     237 </span>            :             // is GAP-web, but GAP-web is not sorted here.</a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            :             #define NSAMPLES 1000</a>
+<a name="240"><span class="lineNum">     240 </span>            :             GrB_Index nvals ;</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">       1089 :             GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">       1083 :             if (n &gt; NSAMPLES &amp;&amp; ((double) nvals / ((double) n)) &gt;= 10)</span></a>
+<a name="243"><span class="lineNum">     243 </span>            :             {</a>
+<a name="244"><span class="lineNum">     244 </span>            :                 // estimate the mean and median degrees</a>
+<a name="245"><span class="lineNum">     245 </span>            :                 double mean, median ;</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">        156 :                 LG_TRY (LAGr_SampleDegree (&amp;mean, &amp;median,</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :                     G, true, NSAMPLES, n, msg)) ;</a>
+<a name="248"><span class="lineNum">     248 </span>            :                 // sort if the average degree is very high vs the median</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">        150 :                 if (mean &gt; 4 * median)</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :                 {</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          6 :                     switch (method)</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :                     {</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          1 :                         case LAGr_TriangleCount_Sandia_LL:</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :                             // 3:sum (sum ((L * L) .* L))</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :                             presort = LAGr_TriangleCount_Ascending  ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          1 :                             break ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :                         case LAGr_TriangleCount_Sandia_UU:</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :                             // 4: sum (sum ((U * U) .* U))</a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          1 :                             presort = LAGr_TriangleCount_Descending ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :                             break ;</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          3 :                         default:</span></a>
+<a name="262"><span class="lineNum">     262 </span>            :                         case LAGr_TriangleCount_Sandia_LUT:</a>
+<a name="263"><span class="lineNum">     263 </span>            :                             // 5: sum (sum ((L * U') .* L))</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          3 :                             presort = LAGr_TriangleCount_Ascending  ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          3 :                             break ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          1 :                         case LAGr_TriangleCount_Sandia_ULT:</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :                             // 6: sum (sum ((U * L') .* U))</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          1 :                             presort = LAGr_TriangleCount_Descending ;</span></a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          1 :                             break ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :                     }</a>
+<a name="271"><span class="lineNum">     271 </span>            :                 }</a>
+<a name="272"><span class="lineNum">     272 </span>            :             }</a>
+<a name="273"><span class="lineNum">     273 </span>            :         }</a>
+<a name="274"><span class="lineNum">     274 </span>            :     }</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="277"><span class="lineNum">     277 </span>            :     // sort the input matrix, if requested</a>
+<a name="278"><span class="lineNum">     278 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">       3770 :     if (presort != LAGr_TriangleCount_NoSort)</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :     {</a>
+<a name="282"><span class="lineNum">     282 </span>            :         // P = permutation that sorts the rows by their degree</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">       1247 :         LG_TRY (LAGr_SortByDegree (&amp;P, G, true,</span></a>
+<a name="284"><span class="lineNum">     284 </span>            :             presort == LAGr_TriangleCount_Ascending, msg)) ;</a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span>            :         // T = A (P,P) and typecast to boolean</a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">       1112 :         GRB_TRY (GrB_Matrix_new (&amp;T, GrB_BOOL, n, n)) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">        977 :         GRB_TRY (GrB_extract (T, NULL, NULL, A, (GrB_Index *) P, n,</span></a>
+<a name="289"><span class="lineNum">     289 </span>            :             (GrB_Index *) P, n, NULL)) ;</a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">        727 :         A = T ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span>            :         // free workspace</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">        727 :         LG_TRY (LAGraph_Free ((void **) &amp;P, NULL)) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span>            :     }</a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="297"><span class="lineNum">     297 </span>            :     // count triangles</a>
+<a name="298"><span class="lineNum">     298 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span>            :     int64_t ntri ;</a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">       3250 :     switch (method)</span></a>
+<a name="303"><span class="lineNum">     303 </span>            :     {</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">        176 :         case LAGr_TriangleCount_Burkhardt:  // 1: sum (sum ((A^2) .* A)) / 6</span></a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">        176 :             GRB_TRY (GrB_mxm (C, A, NULL, semiring, A, A, GrB_DESC_S)) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">         56 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">         56 :             ntri /= 6 ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         56 :             break ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">        515 :         case LAGr_TriangleCount_Cohen: // 2: sum (sum ((L * U) .* A)) / 2</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">        515 :             LG_TRY (tricount_prep (&amp;L, &amp;U, A, msg)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">        179 :             GRB_TRY (GrB_mxm (C, A, NULL, semiring, L, U, GrB_DESC_S)) ;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">         56 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">         56 :             ntri /= 2 ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">         56 :             break ;</span></a>
+<a name="319"><span class="lineNum">     319 </span>            : </a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">        360 :         case LAGr_TriangleCount_Sandia_LL: // 3: sum (sum ((L * L) .* L))</span></a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span>            :             // using the masked saxpy3 method</a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">        360 :             LG_TRY (tricount_prep (&amp;L, NULL, A, msg)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">        197 :             GRB_TRY (GrB_mxm (C, L, NULL, semiring, L, L, GrB_DESC_S)) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">         56 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">         56 :             break ;</span></a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">        360 :         case LAGr_TriangleCount_Sandia_UU: // 4: sum (sum ((U * U) .* U))</span></a>
+<a name="329"><span class="lineNum">     329 </span>            : </a>
+<a name="330"><span class="lineNum">     330 </span>            :             // using the masked saxpy3 method</a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">        360 :             LG_TRY (tricount_prep (NULL, &amp;U, A, msg)) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">        197 :             GRB_TRY (GrB_mxm (C, U, NULL, semiring, U, U, GrB_DESC_S)) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">         56 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">         56 :             break ;</span></a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">       1328 :         default:</span></a>
+<a name="337"><span class="lineNum">     337 </span>            :         case LAGr_TriangleCount_Sandia_LUT: // 5: sum (sum ((L * U') .* L))</a>
+<a name="338"><span class="lineNum">     338 </span>            : </a>
+<a name="339"><span class="lineNum">     339 </span>            :             // This tends to be the fastest method for most large matrices, but</a>
+<a name="340"><span class="lineNum">     340 </span>            :             // the Sandia_ULT method is also very fast.</a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            :             // using the masked dot product</a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">       1328 :             LG_TRY (tricount_prep (&amp;L, &amp;U, A, msg)) ;</span></a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">        493 :             GRB_TRY (GrB_mxm (C, L, NULL, semiring, L, U, GrB_DESC_ST1)) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">        149 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        149 :             break ;</span></a>
+<a name="347"><span class="lineNum">     347 </span>            : </a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">        511 :         case LAGr_TriangleCount_Sandia_ULT: // 6: sum (sum ((U * L') .* U))</span></a>
+<a name="349"><span class="lineNum">     349 </span>            : </a>
+<a name="350"><span class="lineNum">     350 </span>            :             // using the masked dot product</a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">        511 :             LG_TRY (tricount_prep (&amp;L, &amp;U, A, msg)) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">        185 :             GRB_TRY (GrB_mxm (C, U, NULL, semiring, U, L, GrB_DESC_ST1)) ;</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">         56 :             GRB_TRY (GrB_reduce (&amp;ntri, NULL, monoid, C, NULL)) ;</span></a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">         56 :             break ;</span></a>
+<a name="355"><span class="lineNum">     355 </span>            :     }</a>
+<a name="356"><span class="lineNum">     356 </span>            : </a>
+<a name="357"><span class="lineNum">     357 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="358"><span class="lineNum">     358 </span>            :     // return result</a>
+<a name="359"><span class="lineNum">     359 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="360"><span class="lineNum">     360 </span>            : </a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">        429 :     LG_FREE_ALL ;</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">        429 :     if (p_method != NULL) (*p_method) = method ;</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">        429 :     if (p_presort != NULL) (*p_presort) = presort ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">        429 :     (*ntriangles) = (uint64_t) ntri ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">        429 :     return (GrB_SUCCESS) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGraph_TriangleCount.c.func-sort-c.html b/src/algorithm/LAGraph_TriangleCount.c.func-sort-c.html
new file mode 100644
index 0000000000..587a4d2de3
--- /dev/null
+++ b/src/algorithm/LAGraph_TriangleCount.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGraph_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGraph_TriangleCount.c<span style="font-size: 80%;"> (<a href="LAGraph_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_TriangleCount.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TriangleCount.c.gcov.html#28">LAGraph_TriangleCount</a></td>
+              <td class="coverFnHi">404</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGraph_TriangleCount.c.func.html b/src/algorithm/LAGraph_TriangleCount.c.func.html
new file mode 100644
index 0000000000..aefa96648d
--- /dev/null
+++ b/src/algorithm/LAGraph_TriangleCount.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGraph_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGraph_TriangleCount.c<span style="font-size: 80%;"> (<a href="LAGraph_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_TriangleCount.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TriangleCount.c.gcov.html#28">LAGraph_TriangleCount</a></td>
+              <td class="coverFnHi">404</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LAGraph_TriangleCount.c.gcov.html b/src/algorithm/LAGraph_TriangleCount.c.gcov.html
new file mode 100644
index 0000000000..e5167f1e65
--- /dev/null
+++ b/src/algorithm/LAGraph_TriangleCount.c.gcov.html
@@ -0,0 +1,122 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LAGraph_TriangleCount.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LAGraph_TriangleCount.c<span style="font-size: 80%;"> (source / <a href="LAGraph_TriangleCount.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_TriangleCount:  triangle counting dispatch, basic API</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott McMillan, SEI Carnegie Mellon University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is a Basic algorithm (G-&gt;nself_edges, G-&gt;out_degree,</a>
+<a name="19"><span class="lineNum">      19 </span>            : // G-&gt;is_symmetric_structure are computed, if not present).</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &quot;LG_alg_internal.h&quot;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // Pick the default method with auto presort.  Compute G-&gt;nself_edges, and</a>
+<a name="28"><span class="lineNum">      28 </span>            : // G-&gt;out_degree if needed.  Determine if G-&gt;A is symmetric, if not known.</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">        404 : int LAGraph_TriangleCount</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : (</a>
+<a name="32"><span class="lineNum">      32 </span>            :     // output:</a>
+<a name="33"><span class="lineNum">      33 </span>            :     uint64_t *ntriangles,   // number of triangles in G.</a>
+<a name="34"><span class="lineNum">      34 </span>            :     // input/output:</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LAGraph_Graph G,        // graph to examine; cached properties computed.</a>
+<a name="36"><span class="lineNum">      36 </span>            :     char *msg</a>
+<a name="37"><span class="lineNum">      37 </span>            : )</a>
+<a name="38"><span class="lineNum">      38 </span>            : {</a>
+<a name="39"><span class="lineNum">      39 </span>            :     // find out if graph is symmetric, compute G-&gt;out_degree, and G-&gt;nself_edges</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        404 :     LG_TRY (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">        404 :     LG_TRY (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        344 :     LG_TRY (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     // auto method and auto sort</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        344 :     return (LAGr_TriangleCount (ntriangles, G, NULL, NULL, msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func-sort-c.html b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func-sort-c.html
new file mode 100644
index 0000000000..c91808913f
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_SSGrB.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_SSGrB.c<span style="font-size: 80%;"> (<a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_BreadthFirstSearch_SSGrB.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html#49">LG_BreadthFirstSearch_SSGrB</a></td>
+              <td class="coverFnHi">9462</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func.html b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func.html
new file mode 100644
index 0000000000..95311dbcce
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_SSGrB.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_SSGrB.c<span style="font-size: 80%;"> (<a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_BreadthFirstSearch_SSGrB.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html#49">LG_BreadthFirstSearch_SSGrB</a></td>
+              <td class="coverFnHi">9462</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.gcov.html b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.gcov.html
new file mode 100644
index 0000000000..2fda9800d2
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_SSGrB.c.gcov.html
@@ -0,0 +1,374 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_SSGrB.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_SSGrB.c<span style="font-size: 80%;"> (source / <a href="LG_BreadthFirstSearch_SSGrB.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntry">90</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_BreadthFirstSearch_SSGrB:  BFS using Suitesparse extensions</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is an Advanced algorithm.  G-&gt;AT and G-&gt;out_degree are required for</a>
+<a name="19"><span class="lineNum">      19 </span>            : // this method to use push-pull optimization.  If not provided, this method</a>
+<a name="20"><span class="lineNum">      20 </span>            : // defaults to a push-only algorithm, which can be slower.  This is not</a>
+<a name="21"><span class="lineNum">      21 </span>            : // user-callable (see LAGr_BreadthFirstSearch instead).  G-&gt;AT and</a>
+<a name="22"><span class="lineNum">      22 </span>            : // G-&gt;out_degree are not computed if not present.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // References:</a>
+<a name="25"><span class="lineNum">      25 </span>            : //</a>
+<a name="26"><span class="lineNum">      26 </span>            : // Carl Yang, Aydin Buluc, and John D. Owens. 2018. Implementing Push-Pull</a>
+<a name="27"><span class="lineNum">      27 </span>            : // Efficiently in GraphBLAS. In Proceedings of the 47th International</a>
+<a name="28"><span class="lineNum">      28 </span>            : // Conference on Parallel Processing (ICPP 2018). ACM, New York, NY, USA,</a>
+<a name="29"><span class="lineNum">      29 </span>            : // Article 89, 11 pages. DOI: https://doi.org/10.1145/3225058.3225122</a>
+<a name="30"><span class="lineNum">      30 </span>            : //</a>
+<a name="31"><span class="lineNum">      31 </span>            : // Scott Beamer, Krste Asanovic and David A. Patterson, The GAP Benchmark</a>
+<a name="32"><span class="lineNum">      32 </span>            : // Suite, http://arxiv.org/abs/1508.03619, 2015.  http://gap.cs.berkeley.edu/</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // revised by Tim Davis (davis@tamu.edu), Texas A&amp;M University</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : #define LG_FREE_WORK        \</a>
+<a name="37"><span class="lineNum">      37 </span>            : {                           \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;w) ;         \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;q) ;         \</a>
+<a name="40"><span class="lineNum">      40 </span>            : }</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : #define LG_FREE_ALL         \</a>
+<a name="43"><span class="lineNum">      43 </span>            : {                           \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LG_FREE_WORK ;          \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_free (&amp;pi) ;        \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_free (&amp;v) ;         \</a>
+<a name="47"><span class="lineNum">      47 </span>            : }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">       9462 : int LG_BreadthFirstSearch_SSGrB</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : (</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Vector *level,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Vector *parent,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     const LAGraph_Graph G,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     GrB_Index src,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     char *msg</a>
+<a name="58"><span class="lineNum">      58 </span>            : )</a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            :     // check inputs</a>
+<a name="63"><span class="lineNum">      63 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       9462 :     LG_CLEAR_MSG ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       9462 :     GrB_Vector q = NULL ;           // the current frontier</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">       9462 :     GrB_Vector w = NULL ;           // to compute work remaining</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">       9462 :     GrB_Vector pi = NULL ;          // parent vector</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">       9462 :     GrB_Vector v = NULL ;           // level vector</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="72"><span class="lineNum">      72 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="73"><span class="lineNum">      73 </span>            : #else</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       9462 :     bool compute_level  = (level != NULL) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">       9462 :     bool compute_parent = (parent != NULL) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">       9462 :     if (compute_level ) (*level ) = NULL ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">       9462 :     if (compute_parent) (*parent) = NULL ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">       9462 :     LG_ASSERT_MSG (compute_level || compute_parent, GrB_NULL_POINTER,</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :         &quot;either level or parent must be non-NULL&quot;) ;</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       9459 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            :     // get the problem size and cached properties</a>
+<a name="86"><span class="lineNum">      86 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">       9459 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     GrB_Index n, nvals ;</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       9459 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">       9459 :     LG_ASSERT_MSG (src &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       9457 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       9457 :     GrB_Matrix AT = NULL ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       9457 :     GrB_Vector Degree = G-&gt;out_degree ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">       9457 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">       5478 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">       5478 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     {</a>
+<a name="102"><span class="lineNum">     102 </span>            :         // AT and A have the same structure and can be used in both directions</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">       3979 :         AT = G-&gt;A ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            :     else</a>
+<a name="106"><span class="lineNum">     106 </span>            :     {</a>
+<a name="107"><span class="lineNum">     107 </span>            :         // AT = A' is different from A.  If G-&gt;AT is NULL, then a push-only</a>
+<a name="108"><span class="lineNum">     108 </span>            :         // method is used.</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       5478 :         AT = G-&gt;AT ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     }</a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :     // direction-optimization requires G-&gt;AT (if G is directed) and</a>
+<a name="113"><span class="lineNum">     113 </span>            :     // G-&gt;out_degree (for both undirected and directed cases)</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">       9457 :     bool push_pull = (Degree != NULL &amp;&amp; AT != NULL) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :     // determine the semiring type</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       9457 :     GrB_Type int_type = (n &gt; INT32_MAX) ? GrB_INT64 : GrB_INT32 ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     GrB_Semiring semiring ;</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">       9457 :     if (compute_parent)</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :     {</a>
+<a name="122"><span class="lineNum">     122 </span>            :         // use the ANY_SECONDI_INT* semiring: either 32 or 64-bit depending on</a>
+<a name="123"><span class="lineNum">     123 </span>            :         // the # of nodes in the graph.</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">      10562 :         semiring = (n &gt; INT32_MAX) ?</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">       5281 :             GxB_ANY_SECONDI_INT64 : GxB_ANY_SECONDI_INT32 ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :         // create the parent vector.  pi(i) is the parent id of node i</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">       5281 :         GRB_TRY (GrB_Vector_new (&amp;pi, int_type, n)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">       5033 :         GRB_TRY (GxB_set (pi, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :         // pi (src) = src denotes the root of the BFS tree</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">       4785 :         GRB_TRY (GrB_Vector_setElement (pi, src, src)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         // create a sparse integer vector q, and set q(src) = src</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">       4661 :         GRB_TRY (GrB_Vector_new (&amp;q, int_type, n)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">       4413 :         GRB_TRY (GrB_Vector_setElement (q, src, src)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :     }</a>
+<a name="137"><span class="lineNum">     137 </span>            :     else</a>
+<a name="138"><span class="lineNum">     138 </span>            :     {</a>
+<a name="139"><span class="lineNum">     139 </span>            :         // only the level is needed, use the LAGraph_any_one_bool semiring</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">       4176 :         semiring = LAGraph_any_one_bool ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :         // create a sparse boolean vector q, and set q(src) = true</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">       4176 :         GRB_TRY (GrB_Vector_new (&amp;q, GrB_BOOL, n)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">       3928 :         GRB_TRY (GrB_Vector_setElement (q, true, src)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :     }</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">       7597 :     if (compute_level)</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :     {</a>
+<a name="149"><span class="lineNum">     149 </span>            :         // create the level vector. v(i) is the level of node i</a>
+<a name="150"><span class="lineNum">     150 </span>            :         // v (src) = 0 denotes the source node</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">       7417 :         GRB_TRY (GrB_Vector_new (&amp;v, int_type, n)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">       6921 :         GRB_TRY (GxB_set (v, GxB_SPARSITY_CONTROL, GxB_BITMAP + GxB_FULL)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">       6425 :         GRB_TRY (GrB_Vector_setElement (v, 0, src)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :     }</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // workspace for computing work remaining</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">       6357 :     GRB_TRY (GrB_Vector_new (&amp;w, GrB_INT64, n)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">       5861 :     GrB_Index nq = 1 ;          // number of nodes in the current level</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">       5861 :     double alpha = 8.0 ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">       5861 :     double beta1 = 8.0 ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">       5861 :     double beta2 = 512.0 ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">       5861 :     int64_t n_over_beta1 = (int64_t) (((double) n) / beta1) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">       5861 :     int64_t n_over_beta2 = (int64_t) (((double) n) / beta2) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="167"><span class="lineNum">     167 </span>            :     // BFS traversal and label the nodes</a>
+<a name="168"><span class="lineNum">     168 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">       5861 :     bool do_push = true ;       // start with push</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">       5861 :     GrB_Index last_nq = 0 ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">       5861 :     int64_t edges_unexplored = nvals ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">       5861 :     bool any_pull = false ;     // true if any pull phase has been done</span></a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            :     // {!mask} is the set of unvisited nodes</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">       5861 :     GrB_Vector mask = (compute_parent) ? pi : v ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">      36082 :     for (int64_t nvisited = 1, k = 1 ; nvisited &lt; n ; nvisited += nq, k++)</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :     {</a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            :         //----------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            :         // select push vs pull</a>
+<a name="183"><span class="lineNum">     183 </span>            :         //----------------------------------------------------------------------</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">      35524 :         if (push_pull)</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :         {</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">      16599 :             if (do_push)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             {</a>
+<a name="189"><span class="lineNum">     189 </span>            :                 // check for switch from push to pull</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">      15441 :                 bool growing = nq &gt; last_nq ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">      15441 :                 bool switch_to_pull = false ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">      15441 :                 if (edges_unexplored &lt; n)</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :                 {</a>
+<a name="194"><span class="lineNum">     194 </span>            :                     // very little of the graph is left; disable the pull</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         28 :                     push_pull = false ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :                 }</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">      15413 :                 else if (any_pull)</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :                 {</a>
+<a name="199"><span class="lineNum">     199 </span>            :                     // once any pull phase has been done, the # of edges in the</a>
+<a name="200"><span class="lineNum">     200 </span>            :                     // frontier has no longer been tracked.  But now the BFS</a>
+<a name="201"><span class="lineNum">     201 </span>            :                     // has switched back to push, and we're checking for yet</a>
+<a name="202"><span class="lineNum">     202 </span>            :                     // another switch to pull.  This switch is unlikely, so</a>
+<a name="203"><span class="lineNum">     203 </span>            :                     // just keep track of the size of the frontier, and switch</a>
+<a name="204"><span class="lineNum">     204 </span>            :                     // if it starts growing again and is getting big.</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">       9003 :                     switch_to_pull = (growing &amp;&amp; nq &gt; n_over_beta1) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :                 }</a>
+<a name="207"><span class="lineNum">     207 </span>            :                 else</a>
+<a name="208"><span class="lineNum">     208 </span>            :                 {</a>
+<a name="209"><span class="lineNum">     209 </span>            :                     // update the # of unexplored edges</a>
+<a name="210"><span class="lineNum">     210 </span>            :                     // w&lt;q&gt;=Degree</a>
+<a name="211"><span class="lineNum">     211 </span>            :                     // w(i) = outdegree of node i if node i is in the queue</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">       6410 :                     GRB_TRY (GrB_assign (w, q, NULL, Degree, GrB_ALL, n,</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :                         GrB_DESC_RS)) ;</a>
+<a name="214"><span class="lineNum">     214 </span>            :                     // edges_in_frontier = sum (w) = # of edges incident on all</a>
+<a name="215"><span class="lineNum">     215 </span>            :                     // nodes in the current frontier</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">       5286 :                     int64_t edges_in_frontier = 0 ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">       5286 :                     GRB_TRY (GrB_reduce (&amp;edges_in_frontier, NULL,</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :                         GrB_PLUS_MONOID_INT64, w, NULL)) ;</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">       5286 :                     edges_unexplored -= edges_in_frontier ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">       8296 :                     switch_to_pull = growing &amp;&amp;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">       3010 :                         (edges_in_frontier &gt; (edges_unexplored / alpha)) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :                 }</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">      14317 :                 if (switch_to_pull)</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :                 {</a>
+<a name="225"><span class="lineNum">     225 </span>            :                     // switch from push to pull</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">       1049 :                     do_push = false ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :                 }</a>
+<a name="228"><span class="lineNum">     228 </span>            :             }</a>
+<a name="229"><span class="lineNum">     229 </span>            :             else</a>
+<a name="230"><span class="lineNum">     230 </span>            :             {</a>
+<a name="231"><span class="lineNum">     231 </span>            :                 // check for switch from pull to push</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">       1158 :                 bool shrinking = nq &lt; last_nq ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">       1158 :                 if (shrinking &amp;&amp; (nq &lt;= n_over_beta2))</span></a>
+<a name="234"><span class="lineNum">     234 </span>            :                 {</a>
+<a name="235"><span class="lineNum">     235 </span>            :                     // switch from pull to push</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          9 :                     do_push = true ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :                 }</a>
+<a name="238"><span class="lineNum">     238 </span>            :             }</a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">      15475 :             any_pull = any_pull || (!do_push) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :         }</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :         //----------------------------------------------------------------------</a>
+<a name="243"><span class="lineNum">     243 </span>            :         // q = kth level of the BFS</a>
+<a name="244"><span class="lineNum">     244 </span>            :         //----------------------------------------------------------------------</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">      34400 :         int sparsity = do_push ? GxB_SPARSE : GxB_BITMAP ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">      34400 :         GRB_TRY (GxB_set (q, GxB_SPARSITY_CONTROL, sparsity)) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span>            :         // mask is pi if computing parent, v if computing just level</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">      34234 :         if (do_push)</span></a>
+<a name="251"><span class="lineNum">     251 </span>            :         {</a>
+<a name="252"><span class="lineNum">     252 </span>            :             // push (saxpy-based vxm):  q'{!mask} = q'*A</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">      32102 :             GRB_TRY (GrB_vxm (q, mask, NULL, semiring, q, A, GrB_DESC_RSC)) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :         }</a>
+<a name="255"><span class="lineNum">     255 </span>            :         else</a>
+<a name="256"><span class="lineNum">     256 </span>            :         {</a>
+<a name="257"><span class="lineNum">     257 </span>            :             // pull (dot-product-based mxv):  q{!mask} = AT*q</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">       2132 :             GRB_TRY (GrB_mxv (q, mask, NULL, semiring, AT, q, GrB_DESC_RSC)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            :         }</a>
+<a name="260"><span class="lineNum">     260 </span>            : </a>
+<a name="261"><span class="lineNum">     261 </span>            :         //----------------------------------------------------------------------</a>
+<a name="262"><span class="lineNum">     262 </span>            :         // done if q is empty</a>
+<a name="263"><span class="lineNum">     263 </span>            :         //----------------------------------------------------------------------</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">      30790 :         last_nq = nq ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">      30790 :         GRB_TRY (GrB_Vector_nvals (&amp;nq, q)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">      30790 :         if (nq == 0)</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :         {</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">        230 :             break ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :         }</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span>            :         //----------------------------------------------------------------------</a>
+<a name="273"><span class="lineNum">     273 </span>            :         // assign parents/levels</a>
+<a name="274"><span class="lineNum">     274 </span>            :         //----------------------------------------------------------------------</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">      30560 :         if (compute_parent)</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :         {</a>
+<a name="278"><span class="lineNum">     278 </span>            :             // q(i) currently contains the parent id of node i in tree.</a>
+<a name="279"><span class="lineNum">     279 </span>            :             // pi{q} = q</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">      19824 :             GRB_TRY (GrB_assign (pi, q, NULL, q, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :         }</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">      30453 :         if (compute_level)</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :         {</a>
+<a name="284"><span class="lineNum">     284 </span>            :             // v{q} = k, the kth level of the BFS</a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">      21666 :             GRB_TRY (GrB_assign (v, q, NULL, k, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :         }</a>
+<a name="287"><span class="lineNum">     287 </span>            :     }</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="290"><span class="lineNum">     290 </span>            :     // free workspace and return result</a>
+<a name="291"><span class="lineNum">     291 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="292"><span class="lineNum">     292 </span>            : </a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">        788 :     if (compute_parent) (*parent) = pi ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">        788 :     if (compute_level ) (*level ) = v ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        788 :     LG_FREE_WORK ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">        788 :     return (GrB_SUCCESS) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span>            : #endif</a>
+<a name="298"><span class="lineNum">     298 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func-sort-c.html b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func-sort-c.html
new file mode 100644
index 0000000000..ced23d22c5
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_vanilla.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_vanilla.c<span style="font-size: 80%;"> (<a href="LG_BreadthFirstSearch_vanilla.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_BreadthFirstSearch_vanilla.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_BreadthFirstSearch_vanilla.c.gcov.html#34">LG_BreadthFirstSearch_vanilla</a></td>
+              <td class="coverFnHi">9464</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func.html b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func.html
new file mode 100644
index 0000000000..9820c567ce
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_vanilla.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_vanilla.c<span style="font-size: 80%;"> (<a href="LG_BreadthFirstSearch_vanilla.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_BreadthFirstSearch_vanilla.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_BreadthFirstSearch_vanilla.c.gcov.html#34">LG_BreadthFirstSearch_vanilla</a></td>
+              <td class="coverFnHi">9464</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_BreadthFirstSearch_vanilla.c.gcov.html b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.gcov.html
new file mode 100644
index 0000000000..16a3dadf71
--- /dev/null
+++ b/src/algorithm/LG_BreadthFirstSearch_vanilla.c.gcov.html
@@ -0,0 +1,241 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_BreadthFirstSearch_vanilla.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_BreadthFirstSearch_vanilla.c<span style="font-size: 80%;"> (source / <a href="LG_BreadthFirstSearch_vanilla.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_BreadthFirstSearch_vanilla:  BFS using only GraphBLAS API</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott McMillan, derived from examples in the appendix of</a>
+<a name="15"><span class="lineNum">      15 </span>            : // The GraphBLAS C API Specification, v1.3.0</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This is a Basic algorithm (no extra cached properties are required),</a>
+<a name="20"><span class="lineNum">      20 </span>            : // but it is not user-callable (see LAGr_BreadthFirstSearch instead).</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #define LG_FREE_WORK        \</a>
+<a name="23"><span class="lineNum">      23 </span>            : {                           \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;frontier);   \</a>
+<a name="25"><span class="lineNum">      25 </span>            : }</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LG_FREE_ALL         \</a>
+<a name="28"><span class="lineNum">      28 </span>            : {                           \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LG_FREE_WORK ;          \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_free (&amp;l_parent);   \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (&amp;l_level);    \</a>
+<a name="32"><span class="lineNum">      32 </span>            : }</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">       9464 : int LG_BreadthFirstSearch_vanilla</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : (</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_Vector    *level,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_Vector    *parent,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     const LAGraph_Graph G,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_Index      src,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     char          *msg</a>
+<a name="43"><span class="lineNum">      43 </span>            : )</a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            :     // check inputs</a>
+<a name="48"><span class="lineNum">      48 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">       9464 :     LG_CLEAR_MSG ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">       9464 :     GrB_Vector frontier = NULL;     // the current frontier</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">       9464 :     GrB_Vector l_parent = NULL;     // parent vector</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">       9464 :     GrB_Vector l_level = NULL;      // level vector</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">       9464 :     bool compute_level  = (level != NULL);</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">       9464 :     bool compute_parent = (parent != NULL);</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">       9464 :     if (compute_level ) (*level ) = NULL;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">       9464 :     if (compute_parent) (*parent) = NULL;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">       9464 :     LG_ASSERT_MSG (compute_level || compute_parent, GrB_NULL_POINTER,</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :         &quot;either level or parent must be non-NULL&quot;) ;</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">       9461 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="65"><span class="lineNum">      65 </span>            :     // get the problem size</a>
+<a name="66"><span class="lineNum">      66 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">       9461 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_Index n;</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">       9461 :     GRB_TRY( GrB_Matrix_nrows (&amp;n, A) );</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">       9461 :     LG_ASSERT_MSG (src &lt; n, GrB_INVALID_INDEX, &quot;invalid source node&quot;) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :     // determine the semiring type</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       9459 :     GrB_Type     int_type  = (n &gt; INT32_MAX) ? GrB_INT64 : GrB_INT32 ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     GrB_BinaryOp</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">       9459 :         second_op = (n &gt; INT32_MAX) ? GrB_SECOND_INT64 : GrB_SECOND_INT32 ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">       9459 :     GrB_Semiring semiring  = NULL;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">       9459 :     GrB_IndexUnaryOp ramp = NULL ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">       9459 :     if (compute_parent)</span></a>
+<a name="82"><span class="lineNum">      82 </span>            :     {</a>
+<a name="83"><span class="lineNum">      83 </span>            :         // create the parent vector.  l_parent(i) is the parent id of node i</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">       5338 :         GRB_TRY (GrB_Vector_new(&amp;l_parent, int_type, n)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">      10180 :         semiring = (n &gt; INT32_MAX) ?</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">       5090 :             GrB_MIN_FIRST_SEMIRING_INT64 : GrB_MIN_FIRST_SEMIRING_INT32;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // create a sparse integer vector frontier, and set frontier(src) = src</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">       5090 :         GRB_TRY (GrB_Vector_new(&amp;frontier, int_type, n)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       4842 :         GRB_TRY (GrB_Vector_setElement(frontier, src, src)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :         // pick the ramp operator</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       4470 :         ramp = (n &gt; INT32_MAX) ? GrB_ROWINDEX_INT64 : GrB_ROWINDEX_INT32 ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     }</a>
+<a name="96"><span class="lineNum">      96 </span>            :     else</a>
+<a name="97"><span class="lineNum">      97 </span>            :     {</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // only the level is needed</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">       4121 :         semiring = LAGraph_any_one_bool ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :         // create a sparse boolean vector frontier, and set frontier(src) = true</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">       4121 :         GRB_TRY (GrB_Vector_new(&amp;frontier, GrB_BOOL, n)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">       3873 :         GRB_TRY (GrB_Vector_setElement(frontier, true, src)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">       7971 :     if (compute_level)</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :     {</a>
+<a name="108"><span class="lineNum">     108 </span>            :         // create the level vector. v(i) is the level of node i</a>
+<a name="109"><span class="lineNum">     109 </span>            :         // v (src) = 0 denotes the source node</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">       7791 :         GRB_TRY (GrB_Vector_new(&amp;l_level, int_type, n)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :     }</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            :     // BFS traversal and label the nodes</a>
+<a name="115"><span class="lineNum">     115 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       7475 :     GrB_Index nq = 1 ;          // number of nodes in the current level</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">       7475 :     GrB_Index last_nq = 0 ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">       7475 :     GrB_Index current_level = 0;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">       7475 :     GrB_Index nvals = 1;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :     // {!mask} is the set of unvisited nodes</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">       7475 :     GrB_Vector mask = (compute_parent) ? l_parent : l_level ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     // parent BFS</a>
+<a name="126"><span class="lineNum">     126 </span>            :     do</a>
+<a name="127"><span class="lineNum">     127 </span>            :     {</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">      39395 :         if (compute_level)</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :         {</a>
+<a name="130"><span class="lineNum">     130 </span>            :             // assign levels: l_level&lt;s(frontier)&gt; = current_level</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">      30428 :             GRB_TRY( GrB_assign(l_level, frontier, GrB_NULL,</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :                                 current_level, GrB_ALL, n, GrB_DESC_S) );</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">      28066 :             ++current_level;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :         }</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">      37033 :         if (compute_parent)</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :         {</a>
+<a name="138"><span class="lineNum">     138 </span>            :             // frontier(i) currently contains the parent id of node i in tree.</a>
+<a name="139"><span class="lineNum">     139 </span>            :             // l_parent&lt;s(frontier)&gt; = frontier</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">      23561 :             GRB_TRY( GrB_assign(l_parent, frontier, GrB_NULL,</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :                                 frontier, GrB_ALL, n, GrB_DESC_S) );</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :             // convert all stored values in frontier to their indices</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">      23005 :             GRB_TRY (GrB_apply (frontier, GrB_NULL, GrB_NULL, ramp,</span></a>
+<a name="145"><span class="lineNum">     145 </span>            :                 frontier, 0, GrB_NULL)) ;</a>
+<a name="146"><span class="lineNum">     146 </span>            :         }</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :         // frontier = kth level of the BFS</a>
+<a name="149"><span class="lineNum">     149 </span>            :         // mask is l_parent if computing parent, l_level if computing just level</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">      36353 :         GRB_TRY( GrB_vxm(frontier, mask, GrB_NULL, semiring,</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :                          frontier, A, GrB_DESC_RSC) );</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :         // done if frontier is empty</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">      32671 :         GRB_TRY( GrB_Vector_nvals(&amp;nvals, frontier) );</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">      32671 :     } while (nvals &gt; 0);</span></a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="158"><span class="lineNum">     158 </span>            :     // free workspace and return result</a>
+<a name="159"><span class="lineNum">     159 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">        751 :     if (compute_parent) (*parent) = l_parent ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        751 :     if (compute_level ) (*level ) = l_level ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        751 :     LG_FREE_WORK ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        751 :     return (GrB_SUCCESS) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_CC_Boruvka.c.func-sort-c.html b/src/algorithm/LG_CC_Boruvka.c.func-sort-c.html
new file mode 100644
index 0000000000..33c3d181ca
--- /dev/null
+++ b/src/algorithm/LG_CC_Boruvka.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_Boruvka.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_Boruvka.c<span style="font-size: 80%;"> (<a href="LG_CC_Boruvka.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_CC_Boruvka.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#36">Reduce_assign</a></td>
+              <td class="coverFnHi">40</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#112">LG_CC_Boruvka</a></td>
+              <td class="coverFnHi">50</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#77">my_select_func</a></td>
+              <td class="coverFnHi">506860</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_CC_Boruvka.c.func.html b/src/algorithm/LG_CC_Boruvka.c.func.html
new file mode 100644
index 0000000000..705d441622
--- /dev/null
+++ b/src/algorithm/LG_CC_Boruvka.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_Boruvka.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_Boruvka.c<span style="font-size: 80%;"> (<a href="LG_CC_Boruvka.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_CC_Boruvka.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#112">LG_CC_Boruvka</a></td>
+              <td class="coverFnHi">50</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#36">Reduce_assign</a></td>
+              <td class="coverFnHi">40</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_Boruvka.c.gcov.html#77">my_select_func</a></td>
+              <td class="coverFnHi">506860</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_CC_Boruvka.c.gcov.html b/src/algorithm/LG_CC_Boruvka.c.gcov.html
new file mode 100644
index 0000000000..618a40ce08
--- /dev/null
+++ b/src/algorithm/LG_CC_Boruvka.c.gcov.html
@@ -0,0 +1,356 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_Boruvka.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_Boruvka.c<span style="font-size: 80%;"> (source / <a href="LG_CC_Boruvka.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntry">69</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_CC_Boruvka.c:  connected components using GrB* methods only</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Yongzhe Zhang (zyz915@gmail.com).</a>
+<a name="15"><span class="lineNum">      15 </span>            : // Modified by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This is an Advanced algorithm (G-&gt;is_symmetric_structure must be known),</a>
+<a name="20"><span class="lineNum">      20 </span>            : // but it is not user-callable (see LAGr_ConnectedComponents instead).</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // Code is based on Boruvka's minimum spanning forest algorithm.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // This method relies solely on GrB* methods in the V2.0 C API, but it much</a>
+<a name="25"><span class="lineNum">      25 </span>            : // slower in general than LG_CC_FastSV6, which uses GxB pack/unpack methods</a>
+<a name="26"><span class="lineNum">      26 </span>            : // for faster access to the contents of the matrices and vectors.</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #include &lt;stdint.h&gt;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // Reduce_assign</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // w[Px[i]] = min(w[Px[i]], s[i]) for i in [0..n-1].</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">         40 : static GrB_Info Reduce_assign</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : (</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_Vector w,       // input/output vector of size n</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_Vector s,       // input vector of size n</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_Index *Px,      // Px: array of size n</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_Index *mem,     // workspace of size 3*n</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_Index n</a>
+<a name="45"><span class="lineNum">      45 </span>            : )</a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">         40 :     char *msg = NULL ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">         40 :     GrB_Index *ind  = mem ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">         40 :     GrB_Index *sval = ind + n ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">         40 :     GrB_Index *wval = sval + n ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">         40 :     GRB_TRY (GrB_Vector_extractTuples (ind, wval, &amp;n, w)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         40 :     GRB_TRY (GrB_Vector_extractTuples (ind, sval, &amp;n, s)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">      34190 :     for (GrB_Index j = 0 ; j &lt; n ; j++)</span></a>
+<a name="54"><span class="lineNum">      54 </span>            :     {</a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">      34150 :         if (sval [j] &lt; wval [Px [j]])</span></a>
+<a name="56"><span class="lineNum">      56 </span>            :         {</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">      12526 :             wval [Px [j]] = sval [j] ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :         }</a>
+<a name="59"><span class="lineNum">      59 </span>            :     }</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         40 :     GRB_TRY (GrB_Vector_clear (w)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         40 :     GRB_TRY (GrB_Vector_build (w, ind, wval, n, GrB_PLUS_UINT64)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :     LG_FREE_ALL ;</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         40 :     return (GrB_SUCCESS) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : }</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : //------------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            : // select_func: IndexUnaryOp for pruning entries from S</a>
+<a name="68"><span class="lineNum">      68 </span>            : //------------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            : // The pointer to the Px array is passed to the select function as a component</a>
+<a name="71"><span class="lineNum">      71 </span>            : // of a user-defined data type.</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : typedef struct</a>
+<a name="74"><span class="lineNum">      74 </span>            : {</a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_Index *pointer ;</a>
+<a name="76"><span class="lineNum">      76 </span>            : }</a>
+<a name="77"><span class="lineNum">      77 </span>            : Parent_struct ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">     506860 : void my_select_func (void *z, const void *x,</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :                  const GrB_Index i, const GrB_Index j, const void *y)</a>
+<a name="81"><span class="lineNum">      81 </span>            : {</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">     506860 :     Parent_struct *Parent = (Parent_struct *) y ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">     506860 :     GrB_Index *Px = Parent-&gt;pointer ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">     506860 :     (*((bool *) z)) = (Px [i] != Px [j]) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">     506860 : }</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : //------------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : // LG_CC_Boruvka</a>
+<a name="89"><span class="lineNum">      89 </span>            : //------------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            : #undef  LG_FREE_ALL</a>
+<a name="92"><span class="lineNum">      92 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="93"><span class="lineNum">      93 </span>            : {                                           \</a>
+<a name="94"><span class="lineNum">      94 </span>            :     LG_FREE_WORK ;                          \</a>
+<a name="95"><span class="lineNum">      95 </span>            :     GrB_free (&amp;parent) ;                    \</a>
+<a name="96"><span class="lineNum">      96 </span>            : }</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            : #undef  LG_FREE_WORK</a>
+<a name="99"><span class="lineNum">      99 </span>            : #define LG_FREE_WORK                        \</a>
+<a name="100"><span class="lineNum">     100 </span>            : {                                           \</a>
+<a name="101"><span class="lineNum">     101 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ;     \</a>
+<a name="102"><span class="lineNum">     102 </span>            :     LAGraph_Free ((void **) &amp;Px, NULL) ;    \</a>
+<a name="103"><span class="lineNum">     103 </span>            :     LAGraph_Free ((void **) &amp;mem, NULL) ;   \</a>
+<a name="104"><span class="lineNum">     104 </span>            :     GrB_free (&amp;S) ;                         \</a>
+<a name="105"><span class="lineNum">     105 </span>            :     GrB_free (&amp;Parent_Type) ;               \</a>
+<a name="106"><span class="lineNum">     106 </span>            :     GrB_free (&amp;gp) ;                        \</a>
+<a name="107"><span class="lineNum">     107 </span>            :     GrB_free (&amp;mnp) ;                       \</a>
+<a name="108"><span class="lineNum">     108 </span>            :     GrB_free (&amp;ccmn) ;                      \</a>
+<a name="109"><span class="lineNum">     109 </span>            :     GrB_free (&amp;ramp) ;                      \</a>
+<a name="110"><span class="lineNum">     110 </span>            :     GrB_free (&amp;mask) ;                      \</a>
+<a name="111"><span class="lineNum">     111 </span>            :     GrB_free (&amp;select_op) ;                 \</a>
+<a name="112"><span class="lineNum">     112 </span>            : }</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         50 : int LG_CC_Boruvka</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : (</a>
+<a name="116"><span class="lineNum">     116 </span>            :     // output:</a>
+<a name="117"><span class="lineNum">     117 </span>            :     GrB_Vector *component,  // output: array of component identifiers</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // input:</a>
+<a name="119"><span class="lineNum">     119 </span>            :     const LAGraph_Graph G,  // input graph, not modified</a>
+<a name="120"><span class="lineNum">     120 </span>            :     char *msg</a>
+<a name="121"><span class="lineNum">     121 </span>            : )</a>
+<a name="122"><span class="lineNum">     122 </span>            : {</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            :     // check inputs</a>
+<a name="126"><span class="lineNum">     126 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         50 :     GrB_Index n, *I = NULL, *Px = NULL, *mem = NULL ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         50 :     GrB_Vector parent = NULL, gp = NULL, mnp = NULL, ccmn = NULL, ramp = NULL,</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         50 :         mask = NULL ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         50 :     GrB_IndexUnaryOp select_op = NULL ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         50 :     GrB_Matrix S = NULL ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         50 :     GrB_Type Parent_Type = NULL ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     Parent_struct Parent ;</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         50 :     LG_CLEAR_MSG ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         50 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         49 :     LG_ASSERT (component != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         25 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="142"><span class="lineNum">     142 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="143"><span class="lineNum">     143 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="144"><span class="lineNum">     144 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            :     // initializations</a>
+<a name="148"><span class="lineNum">     148 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     // S = structure of G-&gt;A</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         24 :     LG_TRY (LAGraph_Matrix_Structure (&amp;S, G-&gt;A, msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, S)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;parent, GrB_UINT64, n)) ; // final result</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;gp, GrB_UINT64, n)) ;     // grandparents</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;mnp, GrB_UINT64, n)) ;    // min neighbor parent</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;ccmn, GrB_UINT64, n)) ;   // cc's min neighbor</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_new (&amp;mask, GrB_BOOL, n)) ;     // various uses</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         24 :     LG_TRY (LAGraph_Malloc ((void **) &amp;mem, 3*n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         24 :     LG_TRY (LAGraph_Malloc ((void **) &amp;Px, n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         24 :     Parent.pointer = Px ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Type_new (&amp;Parent_Type, sizeof (Parent_struct))) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :     #if !LAGRAPH_SUITESPARSE</a>
+<a name="167"><span class="lineNum">     167 </span>            :     // I is not needed for SuiteSparse and remains NULL</a>
+<a name="168"><span class="lineNum">     168 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;I, n, sizeof (GrB_Index), msg)) ;</a>
+<a name="169"><span class="lineNum">     169 </span>            :     #endif</a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :     // parent = 0:n-1, and copy to ramp</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         24 :     GRB_TRY (GrB_assign (parent, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         24 :     GRB_TRY (GrB_apply  (parent, NULL, NULL, GrB_ROWINDEX_INT64, parent, 0,</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :         NULL)) ;</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_dup (&amp;ramp, parent)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :     // Px is a non-opaque copy of the parent GrB_Vector</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Vector_extractTuples (I, Px, &amp;n, parent)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         24 :     GRB_TRY (GrB_IndexUnaryOp_new (&amp;select_op, my_select_func, GrB_BOOL,</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :         /* aij: ignored */ GrB_BOOL, /* y: pointer to Px */ Parent_Type)) ;</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            :     GrB_Index nvals ;</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, S)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="187"><span class="lineNum">     187 </span>            :     // find the connected components</a>
+<a name="188"><span class="lineNum">     188 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         64 :     while (nvals &gt; 0)</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :     {</a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :         //----------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            :         // mnp[u] = u's minimum neighbor's parent for all nodes u</a>
+<a name="195"><span class="lineNum">     195 </span>            :         //----------------------------------------------------------------------</a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :         // every vertex points to a root vertex at the begining</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         40 :         GRB_TRY (GrB_assign (mnp, NULL, NULL, n, GrB_ALL, n, NULL)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         40 :         GRB_TRY (GrB_mxv (mnp, NULL, GrB_MIN_UINT64,</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :                     GrB_MIN_SECOND_SEMIRING_UINT64, S, parent, NULL)) ;</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :         //----------------------------------------------------------------------</a>
+<a name="203"><span class="lineNum">     203 </span>            :         // find the minimum neighbor</a>
+<a name="204"><span class="lineNum">     204 </span>            :         //----------------------------------------------------------------------</a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         // ccmn[u] = connect component's minimum neighbor | if u is a root</a>
+<a name="207"><span class="lineNum">     207 </span>            :         //         = n                                    | otherwise</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         40 :         GRB_TRY (GrB_assign (ccmn, NULL, NULL, n, GrB_ALL, n, NULL)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">         40 :         GRB_TRY (Reduce_assign (ccmn, mnp, Px, mem, n)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span>            :         //----------------------------------------------------------------------</a>
+<a name="212"><span class="lineNum">     212 </span>            :         // parent[u] = ccmn[u] if ccmn[u] != n</a>
+<a name="213"><span class="lineNum">     213 </span>            :         //----------------------------------------------------------------------</a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            :         // mask = (ccnm != n)</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         40 :         GRB_TRY (GrB_apply (mask, NULL, NULL, GrB_NE_UINT64, ccmn, n, NULL)) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :         // parent&lt;mask&gt; = ccmn</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         40 :         GRB_TRY (GrB_assign (parent, mask, NULL, ccmn, GrB_ALL, n, NULL)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :         //----------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            :         // select new roots</a>
+<a name="222"><span class="lineNum">     222 </span>            :         //----------------------------------------------------------------------</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :         // identify all pairs (u,v) where parent [u] == v and parent [v] == u</a>
+<a name="225"><span class="lineNum">     225 </span>            :         // and then select the minimum of u, v as the new root;</a>
+<a name="226"><span class="lineNum">     226 </span>            :         // if (parent [parent [i]] == i) parent [i] = min (parent [i], i)</a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            :         // compute grandparents: gp = parent (parent)</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         40 :         GRB_TRY (GrB_Vector_extractTuples (I, Px, &amp;n, parent)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         40 :         GRB_TRY (GrB_extract (gp, NULL, NULL, parent, Px, n, NULL)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            :         // mask = (gp == 0:n-1)</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         40 :         GRB_TRY (GrB_eWiseMult (mask, NULL, NULL, GrB_EQ_UINT64, gp, ramp,</span></a>
+<a name="234"><span class="lineNum">     234 </span>            :             NULL)) ;</a>
+<a name="235"><span class="lineNum">     235 </span>            :         // parent&lt;mask&gt; = min (parent, ramp)</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         40 :         GRB_TRY (GrB_assign (parent, mask, GrB_MIN_UINT64, ramp, GrB_ALL, n,</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :             NULL)) ;</a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            :         //----------------------------------------------------------------------</a>
+<a name="240"><span class="lineNum">     240 </span>            :         // shortcutting: parent [i] = parent [parent [i]] until convergence</a>
+<a name="241"><span class="lineNum">     241 </span>            :         //----------------------------------------------------------------------</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">         40 :         bool changing = true ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :         while (true)</a>
+<a name="245"><span class="lineNum">     245 </span>            :         {</a>
+<a name="246"><span class="lineNum">     246 </span>            :             // compute grandparents: gp = parent (parent)</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        122 :             GRB_TRY (GrB_Vector_extractTuples (I, Px, &amp;n, parent)) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        122 :             GRB_TRY (GrB_extract (gp, NULL, NULL, parent, Px, n, NULL)) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span>            :             // changing = or (parent != gp)</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">        122 :             GRB_TRY (GrB_eWiseMult (mask, NULL, NULL, GrB_NE_UINT64, parent, gp,</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :                 NULL)) ;</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">        122 :             GRB_TRY (GrB_reduce (&amp;changing, NULL, GrB_LOR_MONOID_BOOL, mask,</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :                 NULL)) ;</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">        122 :             if (!changing) break ;</span></a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span>            :             // parent = gp</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         82 :             GRB_TRY (GrB_assign (parent, NULL, NULL, gp, GrB_ALL, n, NULL)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            :         }</a>
+<a name="260"><span class="lineNum">     260 </span>            : </a>
+<a name="261"><span class="lineNum">     261 </span>            :         //----------------------------------------------------------------------</a>
+<a name="262"><span class="lineNum">     262 </span>            :         // remove the edges inside each connected component</a>
+<a name="263"><span class="lineNum">     263 </span>            :         //----------------------------------------------------------------------</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span>            :         // This step is the costliest part of this algorithm when dealing with</a>
+<a name="266"><span class="lineNum">     266 </span>            :         // large matrices.</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         40 :         GRB_TRY (GrB_Matrix_select_UDT (S, NULL, NULL, select_op, S,</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :             (void *) (&amp;Parent), NULL)) ;</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">         40 :         GRB_TRY (GrB_Matrix_nvals (&amp;nvals, S)) ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :     }</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="273"><span class="lineNum">     273 </span>            :     // free workspace and return result</a>
+<a name="274"><span class="lineNum">     274 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         24 :     (*component) = parent ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">         24 :     LG_FREE_WORK ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">         24 :     return (GrB_SUCCESS) ;</span></a>
+<a name="279"><span class="lineNum">     279 </span>            : }</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_CC_FastSV6.c.func-sort-c.html b/src/algorithm/LG_CC_FastSV6.c.func-sort-c.html
new file mode 100644
index 0000000000..ba42f22403
--- /dev/null
+++ b/src/algorithm/LG_CC_FastSV6.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_FastSV6.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_FastSV6.c<span style="font-size: 80%;"> (<a href="LG_CC_FastSV6.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_CC_FastSV6.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV6.c.gcov.html#60">fastsv</a></td>
+              <td class="coverFnHi">36</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV6.c.gcov.html#203">LG_CC_FastSV6</a></td>
+              <td class="coverFnHi">64</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/LG_CC_FastSV6.c.func.html b/src/algorithm/LG_CC_FastSV6.c.func.html
new file mode 100644
index 0000000000..8ae9d1fea9
--- /dev/null
+++ b/src/algorithm/LG_CC_FastSV6.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_FastSV6.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_FastSV6.c<span style="font-size: 80%;"> (<a href="LG_CC_FastSV6.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_CC_FastSV6.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV6.c.gcov.html#203">LG_CC_FastSV6</a></td>
+              <td class="coverFnHi">64</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_CC_FastSV6.c.gcov.html#60">fastsv</a></td>
+              <td class="coverFnHi">36</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
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+</body>
+</html>
diff --git a/src/algorithm/LG_CC_FastSV6.c.gcov.html b/src/algorithm/LG_CC_FastSV6.c.gcov.html
new file mode 100644
index 0000000000..31267bcdeb
--- /dev/null
+++ b/src/algorithm/LG_CC_FastSV6.c.gcov.html
@@ -0,0 +1,747 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm/LG_CC_FastSV6.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/algorithm</a> - LG_CC_FastSV6.c<span style="font-size: 80%;"> (source / <a href="LG_CC_FastSV6.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_CC_FastSV6: connected components</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Yongzhe Zhang, modified by Timothy A. Davis, Texas A&amp;M</a>
+<a name="15"><span class="lineNum">      15 </span>            : // University</a>
+<a name="16"><span class="lineNum">      16 </span>            : </a>
+<a name="17"><span class="lineNum">      17 </span>            : //------------------------------------------------------------------------------</a>
+<a name="18"><span class="lineNum">      18 </span>            : </a>
+<a name="19"><span class="lineNum">      19 </span>            : // This is an Advanced algorithm (G-&gt;is_symmetric_structure must be known),</a>
+<a name="20"><span class="lineNum">      20 </span>            : // but it is not user-callable (see LAGr_ConnectedComponents instead).</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : // Code is based on the algorithm described in the following paper:</a>
+<a name="23"><span class="lineNum">      23 </span>            : // Zhang, Azad, Hu. FastSV: A Distributed-Memory Connected Component</a>
+<a name="24"><span class="lineNum">      24 </span>            : // Algorithm with Fast Convergence (SIAM PP20)</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : // A subsequent update to the algorithm is here (which might not be reflected</a>
+<a name="27"><span class="lineNum">      27 </span>            : // in this code):</a>
+<a name="28"><span class="lineNum">      28 </span>            : // Yongzhe Zhang, Ariful Azad, Aydin Buluc: Parallel algorithms for finding</a>
+<a name="29"><span class="lineNum">      29 </span>            : // connected components using linear algebra. J. Parallel Distributed Comput.</a>
+<a name="30"><span class="lineNum">      30 </span>            : // 144: 14-27 (2020).</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : // Modified by Tim Davis, Texas A&amp;M University: revised Reduce_assign to use</a>
+<a name="33"><span class="lineNum">      33 </span>            : // purely GrB* and GxB* methods and the matrix C.  Added warmup phase.  Changed</a>
+<a name="34"><span class="lineNum">      34 </span>            : // to use GxB pack/unpack instead of GxB import/export.  Converted to use the</a>
+<a name="35"><span class="lineNum">      35 </span>            : // LAGraph_Graph object.  Exploiting iso status for the temporary matrices</a>
+<a name="36"><span class="lineNum">      36 </span>            : // C and T.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // The input graph G must be undirected, or directed and with an adjacency</a>
+<a name="39"><span class="lineNum">      39 </span>            : // matrix that has a symmetric structure.  Self-edges (diagonal entries) are</a>
+<a name="40"><span class="lineNum">      40 </span>            : // OK, and are ignored.  The values and type of A are ignored; just its</a>
+<a name="41"><span class="lineNum">      41 </span>            : // structure is accessed.</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : // NOTE: This function must not be called by multiple user threads at the same</a>
+<a name="44"><span class="lineNum">      44 </span>            : // time on the same graph G, since it unpacks G-&gt;A and then packs it back when</a>
+<a name="45"><span class="lineNum">      45 </span>            : // done.  G-&gt;A is unchanged when the function returns, but during execution</a>
+<a name="46"><span class="lineNum">      46 </span>            : // G-&gt;A is empty.  This will be fixed once the todos are finished below, and</a>
+<a name="47"><span class="lineNum">      47 </span>            : // G-&gt;A will then become a truly read-only object (assuming GrB_wait (G-&gt;A)</a>
+<a name="48"><span class="lineNum">      48 </span>            : // has been done first).</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : #define __STDC_WANT_LIB_EXT1__ 1</a>
+<a name="51"><span class="lineNum">      51 </span>            : #include &lt;string.h&gt;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : #define LG_FREE_ALL ;</a>
+<a name="54"><span class="lineNum">      54 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            : //==============================================================================</a>
+<a name="59"><span class="lineNum">      59 </span>            : // fastsv: find the components of a graph</a>
+<a name="60"><span class="lineNum">      60 </span>            : //==============================================================================</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         36 : static inline GrB_Info fastsv</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : (</a>
+<a name="64"><span class="lineNum">      64 </span>            :     GrB_Matrix A,           // adjacency matrix, G-&gt;A or a subset of G-&gt;A</a>
+<a name="65"><span class="lineNum">      65 </span>            :     GrB_Vector parent,      // parent vector</a>
+<a name="66"><span class="lineNum">      66 </span>            :     GrB_Vector mngp,        // min neighbor grandparent</a>
+<a name="67"><span class="lineNum">      67 </span>            :     GrB_Vector *gp,         // grandparent</a>
+<a name="68"><span class="lineNum">      68 </span>            :     GrB_Vector *gp_new,     // new grandparent (swapped with gp)</a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_Vector t,           // workspace</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_BinaryOp eq,        // GrB_EQ_(integer type)</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_BinaryOp min,       // GrB_MIN_(integer type)</a>
+<a name="72"><span class="lineNum">      72 </span>            :     GrB_Semiring min_2nd,   // GrB_MIN_SECOND_(integer type)</a>
+<a name="73"><span class="lineNum">      73 </span>            :     GrB_Matrix C,           // C(i,j) present if i = Px (j)</a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_Index **Cp,         // 0:n, size n+1</a>
+<a name="75"><span class="lineNum">      75 </span>            :     GrB_Index **Px,         // Px: non-opaque copy of parent vector, size n</a>
+<a name="76"><span class="lineNum">      76 </span>            :     void **Cx,              // size 1, contents not accessed</a>
+<a name="77"><span class="lineNum">      77 </span>            :     char *msg</a>
+<a name="78"><span class="lineNum">      78 </span>            : )</a>
+<a name="79"><span class="lineNum">      79 </span>            : {</a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_Index n ;</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         36 :     GRB_TRY (GrB_Vector_size (&amp;n, parent)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         36 :     GrB_Index Cp_size = (n+1) * sizeof (GrB_Index) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">         36 :     GrB_Index Ci_size = n * sizeof (GrB_Index) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         36 :     GrB_Index Cx_size = sizeof (bool) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">         36 :     bool iso = true, jumbled = false, done = false ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     while (true)</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         53 :     {</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :         //----------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :         // hooking &amp; shortcutting</a>
+<a name="92"><span class="lineNum">      92 </span>            :         //----------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span>            :         // mngp = min (mngp, A*gp) using the MIN_SECOND semiring</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         89 :         GRB_TRY (GrB_mxv (mngp, NULL, min, min_2nd, A, *gp, NULL)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :         //----------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // parent = min (parent, C*mngp) where C(i,j) is present if i=Px(j)</a>
+<a name="99"><span class="lineNum">      99 </span>            :         //----------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :         // Reduce_assign: The Px array of size n is the non-opaque copy of the</a>
+<a name="102"><span class="lineNum">     102 </span>            :         // parent vector, where i = Px [j] if the parent of node j is node i.</a>
+<a name="103"><span class="lineNum">     103 </span>            :         // It can thus have duplicates.  The vectors parent and mngp are full</a>
+<a name="104"><span class="lineNum">     104 </span>            :         // (all entries present).  This function computes the following, which</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // is done explicitly in the Reduce_assign function in LG_CC_Boruvka:</a>
+<a name="106"><span class="lineNum">     106 </span>            :         //</a>
+<a name="107"><span class="lineNum">     107 </span>            :         //      for (j = 0 ; j &lt; n ; j++)</a>
+<a name="108"><span class="lineNum">     108 </span>            :         //      {</a>
+<a name="109"><span class="lineNum">     109 </span>            :         //          uint64_t i = Px [j] ;</a>
+<a name="110"><span class="lineNum">     110 </span>            :         //          parent [i] = min (parent [i], mngp [j]) ;</a>
+<a name="111"><span class="lineNum">     111 </span>            :         //      }</a>
+<a name="112"><span class="lineNum">     112 </span>            :         //</a>
+<a name="113"><span class="lineNum">     113 </span>            :         // If C(i,j) is present where i == Px [j], then this can be written as:</a>
+<a name="114"><span class="lineNum">     114 </span>            :         //</a>
+<a name="115"><span class="lineNum">     115 </span>            :         //      parent = min (parent, C*mngp)</a>
+<a name="116"><span class="lineNum">     116 </span>            :         //</a>
+<a name="117"><span class="lineNum">     117 </span>            :         // when using the min_2nd semiring.  This can be done efficiently</a>
+<a name="118"><span class="lineNum">     118 </span>            :         // because C can be constructed in O(1) time and O(1) additional space</a>
+<a name="119"><span class="lineNum">     119 </span>            :         // (not counting the prior Cp, Px, and Cx arrays), when using the</a>
+<a name="120"><span class="lineNum">     120 </span>            :         // SuiteSparse pack/unpack move constructors.  The min_2nd semiring</a>
+<a name="121"><span class="lineNum">     121 </span>            :         // ignores the values of C and operates only on the structure, so its</a>
+<a name="122"><span class="lineNum">     122 </span>            :         // values are not relevant.  Cx is thus chosen as a GrB_BOOL array of</a>
+<a name="123"><span class="lineNum">     123 </span>            :         // size 1 where Cx [0] = false, so the all entries present in C are</a>
+<a name="124"><span class="lineNum">     124 </span>            :         // equal to false.</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :         // pack Cp, Px, and Cx into a matrix C with C(i,j) present if Px(j) == i</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         89 :         GRB_TRY (GxB_Matrix_pack_CSC (C, Cp, /* Px is Ci: */ Px, Cx,</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :             Cp_size, Ci_size, Cx_size, iso, jumbled, NULL)) ;</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :         // parent = min (parent, C*mngp) using the MIN_SECOND semiring</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         89 :         GRB_TRY (GrB_mxv (parent, NULL, min, min_2nd, C, mngp, NULL)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         // unpack the contents of C, to make Px available to this method again.</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         89 :         GRB_TRY (GxB_Matrix_unpack_CSC (C, Cp, Px, Cx,</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :             &amp;Cp_size, &amp;Ci_size, &amp;Cx_size, &amp;iso, &amp;jumbled, NULL)) ;</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :         //----------------------------------------------------------------------</a>
+<a name="138"><span class="lineNum">     138 </span>            :         // parent = min (parent, mngp, gp)</a>
+<a name="139"><span class="lineNum">     139 </span>            :         //----------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         85 :         GRB_TRY (GrB_eWiseAdd (parent, NULL, min, min, mngp, *gp, NULL)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         //----------------------------------------------------------------------</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // calculate grandparent: gp_new = parent (parent), and extract Px</a>
+<a name="145"><span class="lineNum">     145 </span>            :         //----------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :         // if parent is uint32, GraphBLAS typecasts to uint64 for Px.</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         85 :         GRB_TRY (GrB_Vector_extractTuples (NULL, *Px, &amp;n, parent)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         85 :         GRB_TRY (GrB_extract (*gp_new, NULL, NULL, parent, *Px, n, NULL)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :         //----------------------------------------------------------------------</a>
+<a name="152"><span class="lineNum">     152 </span>            :         // terminate if gp and gp_new are the same</a>
+<a name="153"><span class="lineNum">     153 </span>            :         //----------------------------------------------------------------------</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         81 :         GRB_TRY (GrB_eWiseMult (t, NULL, NULL, eq, *gp_new, *gp, NULL)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         80 :         GRB_TRY (GrB_reduce (&amp;done, NULL, GrB_LAND_MONOID_BOOL, t, NULL)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         80 :         if (done) break ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :         // swap gp and gp_new</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         53 :         GrB_Vector s = (*gp) ; (*gp) = (*gp_new) ; (*gp_new) = s ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :     }</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         27 :     return (GrB_SUCCESS) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : }</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            : //==============================================================================</a>
+<a name="166"><span class="lineNum">     166 </span>            : // LG_CC_FastSV6</a>
+<a name="167"><span class="lineNum">     167 </span>            : //==============================================================================</a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            : // The output of LG_CC_FastSV* is a vector component, where component(i)=r if</a>
+<a name="170"><span class="lineNum">     170 </span>            : // node i is in the connected compononent whose representative is node r.  If r</a>
+<a name="171"><span class="lineNum">     171 </span>            : // is a representative, then component(r)=r.  The number of connected</a>
+<a name="172"><span class="lineNum">     172 </span>            : // components in the graph G is the number of representatives.</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            : #undef  LG_FREE_WORK</a>
+<a name="175"><span class="lineNum">     175 </span>            : #define LG_FREE_WORK                            \</a>
+<a name="176"><span class="lineNum">     176 </span>            : {                                               \</a>
+<a name="177"><span class="lineNum">     177 </span>            :     LAGraph_Free ((void **) &amp;Tp, NULL) ;        \</a>
+<a name="178"><span class="lineNum">     178 </span>            :     LAGraph_Free ((void **) &amp;Tj, NULL) ;        \</a>
+<a name="179"><span class="lineNum">     179 </span>            :     LAGraph_Free ((void **) &amp;Tx, NULL) ;        \</a>
+<a name="180"><span class="lineNum">     180 </span>            :     LAGraph_Free ((void **) &amp;Cp, NULL) ;        \</a>
+<a name="181"><span class="lineNum">     181 </span>            :     LAGraph_Free ((void **) &amp;Px, NULL) ;        \</a>
+<a name="182"><span class="lineNum">     182 </span>            :     LAGraph_Free ((void **) &amp;Cx, NULL) ;        \</a>
+<a name="183"><span class="lineNum">     183 </span>            :     LAGraph_Free ((void **) &amp;ht_key, NULL) ;    \</a>
+<a name="184"><span class="lineNum">     184 </span>            :     LAGraph_Free ((void **) &amp;ht_count, NULL) ;  \</a>
+<a name="185"><span class="lineNum">     185 </span>            :     LAGraph_Free ((void **) &amp;count, NULL) ;     \</a>
+<a name="186"><span class="lineNum">     186 </span>            :     LAGraph_Free ((void **) &amp;range, NULL) ;     \</a>
+<a name="187"><span class="lineNum">     187 </span>            :     GrB_free (&amp;C) ;                             \</a>
+<a name="188"><span class="lineNum">     188 </span>            :     GrB_free (&amp;T) ;                             \</a>
+<a name="189"><span class="lineNum">     189 </span>            :     GrB_free (&amp;t) ;                             \</a>
+<a name="190"><span class="lineNum">     190 </span>            :     GrB_free (&amp;y) ;                             \</a>
+<a name="191"><span class="lineNum">     191 </span>            :     GrB_free (&amp;gp) ;                            \</a>
+<a name="192"><span class="lineNum">     192 </span>            :     GrB_free (&amp;mngp) ;                          \</a>
+<a name="193"><span class="lineNum">     193 </span>            :     GrB_free (&amp;gp_new) ;                        \</a>
+<a name="194"><span class="lineNum">     194 </span>            : }</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            : #undef  LG_FREE_ALL</a>
+<a name="197"><span class="lineNum">     197 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="198"><span class="lineNum">     198 </span>            : {                                               \</a>
+<a name="199"><span class="lineNum">     199 </span>            :     LG_FREE_WORK ;                              \</a>
+<a name="200"><span class="lineNum">     200 </span>            :     GrB_free (&amp;parent) ;                        \</a>
+<a name="201"><span class="lineNum">     201 </span>            : }</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            : #endif</a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">         64 : int LG_CC_FastSV6           // SuiteSparse:GraphBLAS method, with GxB extensions</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : (</a>
+<a name="207"><span class="lineNum">     207 </span>            :     // output:</a>
+<a name="208"><span class="lineNum">     208 </span>            :     GrB_Vector *component,  // component(i)=r if node is in the component r</a>
+<a name="209"><span class="lineNum">     209 </span>            :     // input:</a>
+<a name="210"><span class="lineNum">     210 </span>            :     LAGraph_Graph G,        // input graph (modified then restored)</a>
+<a name="211"><span class="lineNum">     211 </span>            :     char *msg</a>
+<a name="212"><span class="lineNum">     212 </span>            : )</a>
+<a name="213"><span class="lineNum">     213 </span>            : {</a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            : #if !LAGRAPH_SUITESPARSE</a>
+<a name="216"><span class="lineNum">     216 </span>            :     LG_ASSERT (false, GrB_NOT_IMPLEMENTED) ;</a>
+<a name="217"><span class="lineNum">     217 </span>            : #else</a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="220"><span class="lineNum">     220 </span>            :     // check inputs</a>
+<a name="221"><span class="lineNum">     221 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         64 :     LG_CLEAR_MSG ;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         64 :     int64_t *range = NULL ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         64 :     GrB_Index n, nvals, Cp_size = 0, *ht_key = NULL, *Px = NULL, *Cp = NULL,</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         64 :         *count = NULL, *Tp = NULL, *Tj = NULL ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         64 :     GrB_Vector parent = NULL, gp_new = NULL, mngp = NULL, gp = NULL, t = NULL,</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         64 :         y = NULL ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         64 :     GrB_Matrix T = NULL, C = NULL ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         64 :     void *Tx = NULL, *Cx = NULL ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         64 :     int *ht_count = NULL ;</span></a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         64 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">         63 :     LG_ASSERT (component != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         63 :     (*component) = NULL ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         63 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="240"><span class="lineNum">     240 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="241"><span class="lineNum">     241 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="242"><span class="lineNum">     242 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="245"><span class="lineNum">     245 </span>            :     // initializations</a>
+<a name="246"><span class="lineNum">     246 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">         62 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         62 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         62 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :     // determine the integer type, operators, and semirings to use</a>
+<a name="253"><span class="lineNum">     253 </span>            :     GrB_Type Uint, Int ;</a>
+<a name="254"><span class="lineNum">     254 </span>            :     GrB_IndexUnaryOp ramp ;</a>
+<a name="255"><span class="lineNum">     255 </span>            :     GrB_Semiring min_2nd, min_2ndi ;</a>
+<a name="256"><span class="lineNum">     256 </span>            :     GrB_BinaryOp min, eq, imin ;</a>
+<a name="257"><span class="lineNum">     257 </span>            :     #ifdef COVERAGE</a>
+<a name="258"><span class="lineNum">     258 </span>            :     // Just for test coverage, use 64-bit ints for n &gt; 100.  Do not use this</a>
+<a name="259"><span class="lineNum">     259 </span>            :     // rule in production!</a>
+<a name="260"><span class="lineNum">     260 </span>            :     #define NBIG 100</a>
+<a name="261"><span class="lineNum">     261 </span>            :     #else</a>
+<a name="262"><span class="lineNum">     262 </span>            :     // For production use: 64-bit integers if n &gt; 2^31</a>
+<a name="263"><span class="lineNum">     263 </span>            :     #define NBIG INT32_MAX</a>
+<a name="264"><span class="lineNum">     264 </span>            :     #endif</a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         62 :     if (n &gt; NBIG)</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :     {</a>
+<a name="267"><span class="lineNum">     267 </span>            :         // use 64-bit integers throughout</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          8 :         Uint = GrB_UINT64 ;</span></a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          8 :         Int  = GrB_INT64  ;</span></a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">          8 :         ramp = GrB_ROWINDEX_INT64 ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">          8 :         min  = GrB_MIN_UINT64 ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          8 :         imin = GrB_MIN_INT64 ;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          8 :         eq   = GrB_EQ_UINT64 ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          8 :         min_2nd  = GrB_MIN_SECOND_SEMIRING_UINT64 ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          8 :         min_2ndi = GxB_MIN_SECONDI_INT64 ;</span></a>
+<a name="276"><span class="lineNum">     276 </span>            :     }</a>
+<a name="277"><span class="lineNum">     277 </span>            :     else</a>
+<a name="278"><span class="lineNum">     278 </span>            :     {</a>
+<a name="279"><span class="lineNum">     279 </span>            :         // use 32-bit integers, except for Px and for constructing the matrix C</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">         54 :         Uint = GrB_UINT32 ;</span></a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">         54 :         Int  = GrB_INT32  ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         54 :         ramp = GrB_ROWINDEX_INT32 ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">         54 :         min  = GrB_MIN_UINT32 ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">         54 :         imin = GrB_MIN_INT32 ;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">         54 :         eq   = GrB_EQ_UINT32 ;</span></a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         54 :         min_2nd  = GrB_MIN_SECOND_SEMIRING_UINT32 ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">         54 :         min_2ndi = GxB_MIN_SECONDI_INT32 ;</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :     }</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            :     // FASTSV_SAMPLES: number of samples to take from each row A(i,:).</a>
+<a name="291"><span class="lineNum">     291 </span>            :     // Sampling is used if the average degree is &gt; 8 and if n &gt; 1024.</a>
+<a name="292"><span class="lineNum">     292 </span>            :     #define FASTSV_SAMPLES 4</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">         62 :     bool sampling = (nvals &gt; n * FASTSV_SAMPLES * 2 &amp;&amp; n &gt; 1024) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span>            : </a>
+<a name="295"><span class="lineNum">     295 </span>            : // [ todo: nthreads will not be needed once GxB_select with a GxB_RankUnaryOp</a>
+<a name="296"><span class="lineNum">     296 </span>            : // and a new GxB_extract are added to SuiteSparse:GraphBLAS.</a>
+<a name="297"><span class="lineNum">     297 </span>            :     // determine # of threads to use</a>
+<a name="298"><span class="lineNum">     298 </span>            :     int nthreads, nthreads_outer, nthreads_inner ;</a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">         62 :     LG_TRY (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">         62 :     nthreads = nthreads_outer * nthreads_inner ;</span></a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">         62 :     nthreads = LAGRAPH_MIN (nthreads, n / 16) ;</span></a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">         62 :     nthreads = LAGRAPH_MAX (nthreads, 1) ;</span></a>
+<a name="303"><span class="lineNum">     303 </span>            : // ]</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">         62 :     LG_TRY (LAGraph_Calloc ((void **) &amp;Cx, 1, sizeof (bool), msg)) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">         61 :     LG_TRY (LAGraph_Malloc ((void **) &amp;Px, n, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span>            :     // create Cp = 0:n (always 64-bit) and the empty C matrix</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">         60 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, n, n)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         57 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_INT64, n+1)) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         55 :     GRB_TRY (GrB_assign (t, NULL, NULL, 0, GrB_ALL, n+1, NULL)) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">         54 :     GRB_TRY (GrB_apply (t, NULL, NULL, GrB_ROWINDEX_INT64, t, 0, NULL)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">         53 :     GRB_TRY (GxB_Vector_unpack_Full (t, (void **) &amp;Cp, &amp;Cp_size, NULL, NULL)) ;</span></a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">         52 :     GRB_TRY (GrB_free (&amp;t)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span>            : </a>
+<a name="316"><span class="lineNum">     316 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="317"><span class="lineNum">     317 </span>            :     // warmup: parent = min (0:n-1, A*1) using the MIN_SECONDI semiring</a>
+<a name="318"><span class="lineNum">     318 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="319"><span class="lineNum">     319 </span>            : </a>
+<a name="320"><span class="lineNum">     320 </span>            :     // y (i) = min (i, j) for all entries A(i,j).  This warmup phase takes only</a>
+<a name="321"><span class="lineNum">     321 </span>            :     // O(n) time, because of how the MIN_SECONDI semiring is implemented in</a>
+<a name="322"><span class="lineNum">     322 </span>            :     // SuiteSparse:GraphBLAS.  A is held by row, and the first entry in A(i,:)</a>
+<a name="323"><span class="lineNum">     323 </span>            :     // is the minimum index j, so only the first entry in A(i,:) needs to be</a>
+<a name="324"><span class="lineNum">     324 </span>            :     // considered for each row i.</a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">         52 :     GRB_TRY (GrB_Vector_new (&amp;t, Int, n)) ;</span></a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">         50 :     GRB_TRY (GrB_Vector_new (&amp;y, Int, n)) ;</span></a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">         48 :     GRB_TRY (GrB_assign (t, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">         47 :     GRB_TRY (GrB_assign (y, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">         46 :     GRB_TRY (GrB_apply (y, NULL, NULL, ramp, y, 0, NULL)) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">         45 :     GRB_TRY (GrB_mxv (y, NULL, imin, min_2ndi, A, t, NULL)) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">         45 :     GRB_TRY (GrB_free (&amp;t)) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span>            : </a>
+<a name="334"><span class="lineNum">     334 </span>            :     // The typecast from Int to Uint is required because the ROWINDEX operator</a>
+<a name="335"><span class="lineNum">     335 </span>            :     // and MIN_SECONDI do not work in the UINT* domains, as built-in operators.</a>
+<a name="336"><span class="lineNum">     336 </span>            :     // parent = (Uint) y</a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">         45 :     GRB_TRY (GrB_Vector_new (&amp;parent, Uint, n)) ;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">         43 :     GRB_TRY (GrB_assign (parent, NULL, NULL, y, GrB_ALL, n, NULL)) ;</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">         42 :     GRB_TRY (GrB_free (&amp;y)) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span>            : </a>
+<a name="341"><span class="lineNum">     341 </span>            :     // copy parent into gp, mngp, and Px.  Px is a non-opaque 64-bit copy of the</a>
+<a name="342"><span class="lineNum">     342 </span>            :     // parent GrB_Vector.  The Px array is always of type GrB_Index since it</a>
+<a name="343"><span class="lineNum">     343 </span>            :     // must be used as the input array for extractTuples and as Ci for pack_CSR.</a>
+<a name="344"><span class="lineNum">     344 </span>            :     // If parent is uint32, GraphBLAS typecasts it to the uint64 Px array.</a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">         42 :     GRB_TRY (GrB_Vector_extractTuples (NULL, Px, &amp;n, parent)) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">         42 :     GRB_TRY (GrB_Vector_dup (&amp;gp, parent)) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">         40 :     GRB_TRY (GrB_Vector_dup (&amp;mngp, parent)) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">         38 :     GRB_TRY (GrB_Vector_new (&amp;gp_new, Uint, n)) ;</span></a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">         36 :     GRB_TRY (GrB_Vector_new (&amp;t, GrB_BOOL, n)) ;</span></a>
+<a name="350"><span class="lineNum">     350 </span>            : </a>
+<a name="351"><span class="lineNum">     351 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="352"><span class="lineNum">     352 </span>            :     // sample phase</a>
+<a name="353"><span class="lineNum">     353 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="354"><span class="lineNum">     354 </span>            : </a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">         34 :     if (sampling)</span></a>
+<a name="356"><span class="lineNum">     356 </span>            :     {</a>
+<a name="357"><span class="lineNum">     357 </span>            : </a>
+<a name="358"><span class="lineNum">     358 </span>            : // [ todo: GxB_select, using a new operator: GxB_RankUnaryOp, will do all this,</a>
+<a name="359"><span class="lineNum">     359 </span>            : // with GxB_Matrix_select_RankOp_Scalar with operator GxB_LEASTRANK and a</a>
+<a name="360"><span class="lineNum">     360 </span>            : // GrB_Scalar input equal to FASTSV_SAMPLES.  Built-in operators will be,</a>
+<a name="361"><span class="lineNum">     361 </span>            : // (where y is INT64):</a>
+<a name="362"><span class="lineNum">     362 </span>            : //</a>
+<a name="363"><span class="lineNum">     363 </span>            : //      GxB_LEASTRANK (aij, i, j, k, d, y): select if aij has rank k &lt;= y</a>
+<a name="364"><span class="lineNum">     364 </span>            : //      GxB_NLEASTRANK: select if aij has rank k &gt; y</a>
+<a name="365"><span class="lineNum">     365 </span>            : //      GxB_GREATESTRANK (...) select if aij has rank k &gt;= (d-y) where</a>
+<a name="366"><span class="lineNum">     366 </span>            : //          d = # of entries in A(i,:).</a>
+<a name="367"><span class="lineNum">     367 </span>            : //      GxB_NGREATESTRANK (...): select if aij has rank k &lt; (d-y)</a>
+<a name="368"><span class="lineNum">     368 </span>            : // and perhaps other operators such as:</a>
+<a name="369"><span class="lineNum">     369 </span>            : //      GxB_LEASTRELRANK (...): select aij if rank k &lt;= y*d where y is double</a>
+<a name="370"><span class="lineNum">     370 </span>            : //      GxB_GREATESTRELRANK (...): select aij rank k &gt; y*d where y is double</a>
+<a name="371"><span class="lineNum">     371 </span>            : //</a>
+<a name="372"><span class="lineNum">     372 </span>            : // By default, the rank of aij is its relative position as the kth entry in its</a>
+<a name="373"><span class="lineNum">     373 </span>            : // row (from &quot;left&quot; to &quot;right&quot;).  If a new GxB setting in the descriptor is</a>
+<a name="374"><span class="lineNum">     374 </span>            : // set, then k is the relative position of aij as the kth entry in its column.</a>
+<a name="375"><span class="lineNum">     375 </span>            : // The default would be that the rank is the position of aij in its row A(i,:).</a>
+<a name="376"><span class="lineNum">     376 </span>            : </a>
+<a name="377"><span class="lineNum">     377 </span>            : // Other:</a>
+<a name="378"><span class="lineNum">     378 </span>            : //      give me 3 random items from the row (y = 3)</a>
+<a name="379"><span class="lineNum">     379 </span>            : //      give me the 4 biggest *values* in each row (y = 4)</a>
+<a name="380"><span class="lineNum">     380 </span>            : </a>
+<a name="381"><span class="lineNum">     381 </span>            : // mxv:</a>
+<a name="382"><span class="lineNum">     382 </span>            : //      C = A*diag(D)</a>
+<a name="383"><span class="lineNum">     383 </span>            : </a>
+<a name="384"><span class="lineNum">     384 </span>            :         //----------------------------------------------------------------------</a>
+<a name="385"><span class="lineNum">     385 </span>            :         // unpack A in CSR format</a>
+<a name="386"><span class="lineNum">     386 </span>            :         //----------------------------------------------------------------------</a>
+<a name="387"><span class="lineNum">     387 </span>            : </a>
+<a name="388"><span class="lineNum">     388 </span>            :         void *Ax ;</a>
+<a name="389"><span class="lineNum">     389 </span>            :         GrB_Index *Ap, *Aj, Ap_size, Aj_size, Ax_size ;</a>
+<a name="390"><span class="lineNum">     390 </span>            :         bool A_jumbled, A_iso ;</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_unpack_CSR (A, &amp;Ap, &amp;Aj, &amp;Ax,</span></a>
+<a name="392"><span class="lineNum">     392 </span>            :             &amp;Ap_size, &amp;Aj_size, &amp;Ax_size, &amp;A_iso, &amp;A_jumbled, NULL)) ;</a>
+<a name="393"><span class="lineNum">     393 </span>            : </a>
+<a name="394"><span class="lineNum">     394 </span>            :         //----------------------------------------------------------------------</a>
+<a name="395"><span class="lineNum">     395 </span>            :         // allocate workspace, including space to construct T</a>
+<a name="396"><span class="lineNum">     396 </span>            :         //----------------------------------------------------------------------</a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          4 :         GrB_Index Tp_size = (n+1) * sizeof (GrB_Index) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          4 :         GrB_Index Tj_size = nvals * sizeof (GrB_Index) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          4 :         GrB_Index Tx_size = sizeof (bool) ;</span></a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Malloc ((void **) &amp;Tp, n+1, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Malloc ((void **) &amp;Tj, nvals, sizeof (GrB_Index),</span></a>
+<a name="403"><span class="lineNum">     403 </span>            :             msg)) ;</a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Calloc ((void **) &amp;Tx, 1, sizeof (bool), msg)) ;</span></a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Malloc ((void **) &amp;range, nthreads + 1,</span></a>
+<a name="406"><span class="lineNum">     406 </span>            :             sizeof (int64_t), msg)) ;</a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Calloc ((void **) &amp;count, nthreads + 1,</span></a>
+<a name="408"><span class="lineNum">     408 </span>            :             sizeof (GrB_Index), msg)) ;</a>
+<a name="409"><span class="lineNum">     409 </span>            : </a>
+<a name="410"><span class="lineNum">     410 </span>            :         //----------------------------------------------------------------------</a>
+<a name="411"><span class="lineNum">     411 </span>            :         // define parallel tasks to construct T</a>
+<a name="412"><span class="lineNum">     412 </span>            :         //----------------------------------------------------------------------</a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span>            :         // thread tid works on rows range[tid]:range[tid+1]-1 of A and T</a>
+<a name="415"><span class="lineNum">     415 </span>            :         int tid;</a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">         12 :         for (tid = 0 ; tid &lt;= nthreads ; tid++)</span></a>
+<a name="417"><span class="lineNum">     417 </span>            :         {</a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          8 :             range [tid] = (n * tid + nthreads - 1) / nthreads ;</span></a>
+<a name="419"><span class="lineNum">     419 </span>            :         }</a>
+<a name="420"><span class="lineNum">     420 </span>            : </a>
+<a name="421"><span class="lineNum">     421 </span>            :         //----------------------------------------------------------------------</a>
+<a name="422"><span class="lineNum">     422 </span>            :         // determine the number entries to be constructed in T for each thread</a>
+<a name="423"><span class="lineNum">     423 </span>            :         //----------------------------------------------------------------------</a>
+<a name="424"><span class="lineNum">     424 </span>            : </a>
+<a name="425"><span class="lineNum">     425 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="427"><span class="lineNum">     427 </span>            :         {</a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">       9756 :             for (int64_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="429"><span class="lineNum">     429 </span>            :             {</a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">       9752 :                 int64_t deg = Ap [i + 1] - Ap [i] ;</span></a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">       9752 :                 count [tid + 1] += LAGRAPH_MIN (FASTSV_SAMPLES, deg) ;</span></a>
+<a name="432"><span class="lineNum">     432 </span>            :             }</a>
+<a name="433"><span class="lineNum">     433 </span>            :         }</a>
+<a name="434"><span class="lineNum">     434 </span>            : </a>
+<a name="435"><span class="lineNum">     435 </span>            :         //----------------------------------------------------------------------</a>
+<a name="436"><span class="lineNum">     436 </span>            :         // count = cumsum (count)</a>
+<a name="437"><span class="lineNum">     437 </span>            :         //----------------------------------------------------------------------</a>
+<a name="438"><span class="lineNum">     438 </span>            : </a>
+<a name="439"><span class="lineNum">     439 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="440"><span class="lineNum">     440 </span>            :         {</a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">          4 :             count [tid + 1] += count [tid] ;</span></a>
+<a name="442"><span class="lineNum">     442 </span>            :         }</a>
+<a name="443"><span class="lineNum">     443 </span>            : </a>
+<a name="444"><span class="lineNum">     444 </span>            :         //----------------------------------------------------------------------</a>
+<a name="445"><span class="lineNum">     445 </span>            :         // construct T</a>
+<a name="446"><span class="lineNum">     446 </span>            :         //----------------------------------------------------------------------</a>
+<a name="447"><span class="lineNum">     447 </span>            : </a>
+<a name="448"><span class="lineNum">     448 </span>            :         // T (i,:) consists of the first FASTSV_SAMPLES of A (i,:).</a>
+<a name="449"><span class="lineNum">     449 </span>            : </a>
+<a name="450"><span class="lineNum">     450 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="452"><span class="lineNum">     452 </span>            :         {</a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">          4 :             GrB_Index p = count [tid] ;</span></a>
+<a name="454"><span class="lineNum">     454 </span><span class="lineCov">          4 :             Tp [range [tid]] = p ;</span></a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">       9756 :             for (int64_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="456"><span class="lineNum">     456 </span>            :             {</a>
+<a name="457"><span class="lineNum">     457 </span>            :                 // construct T (i,:) from the first entries in A (i,:)</a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">       9752 :                 for (int64_t j = 0 ;</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">      40390 :                     j &lt; FASTSV_SAMPLES &amp;&amp; Ap [i] + j &lt; Ap [i + 1] ; j++)</span></a>
+<a name="460"><span class="lineNum">     460 </span>            :                 {</a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">      30638 :                     Tj [p++] = Aj [Ap [i] + j] ;</span></a>
+<a name="462"><span class="lineNum">     462 </span>            :                 }</a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">       9752 :                 Tp [i + 1] = p ;</span></a>
+<a name="464"><span class="lineNum">     464 </span>            :             }</a>
+<a name="465"><span class="lineNum">     465 </span>            :         }</a>
+<a name="466"><span class="lineNum">     466 </span>            : </a>
+<a name="467"><span class="lineNum">     467 </span>            :         //----------------------------------------------------------------------</a>
+<a name="468"><span class="lineNum">     468 </span>            :         // import the result into the GrB_Matrix T</a>
+<a name="469"><span class="lineNum">     469 </span>            :         //----------------------------------------------------------------------</a>
+<a name="470"><span class="lineNum">     470 </span>            : </a>
+<a name="471"><span class="lineNum">     471 </span><span class="lineCov">          4 :         GRB_TRY (GrB_Matrix_new (&amp;T, GrB_BOOL, n, n)) ;</span></a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_pack_CSR (T, &amp;Tp, &amp;Tj, &amp;Tx, Tp_size, Tj_size,</span></a>
+<a name="473"><span class="lineNum">     473 </span>            :             Tx_size, /* T is iso: */ true, A_jumbled, NULL)) ;</a>
+<a name="474"><span class="lineNum">     474 </span>            : </a>
+<a name="475"><span class="lineNum">     475 </span>            : // ] todo: the above will all be done as a single call to GxB_select.</a>
+<a name="476"><span class="lineNum">     476 </span>            : </a>
+<a name="477"><span class="lineNum">     477 </span>            :         //----------------------------------------------------------------------</a>
+<a name="478"><span class="lineNum">     478 </span>            :         // find the connected components of T</a>
+<a name="479"><span class="lineNum">     479 </span>            :         //----------------------------------------------------------------------</a>
+<a name="480"><span class="lineNum">     480 </span>            : </a>
+<a name="481"><span class="lineNum">     481 </span><span class="lineCov">          4 :         LG_TRY (fastsv (T, parent, mngp, &amp;gp, &amp;gp_new, t, eq, min, min_2nd,</span></a>
+<a name="482"><span class="lineNum">     482 </span>            :             C, &amp;Cp, &amp;Px, &amp;Cx, msg)) ;</a>
+<a name="483"><span class="lineNum">     483 </span>            : </a>
+<a name="484"><span class="lineNum">     484 </span>            :         //----------------------------------------------------------------------</a>
+<a name="485"><span class="lineNum">     485 </span>            :         // use sampling to estimate the largest connected component in T</a>
+<a name="486"><span class="lineNum">     486 </span>            :         //----------------------------------------------------------------------</a>
+<a name="487"><span class="lineNum">     487 </span>            : </a>
+<a name="488"><span class="lineNum">     488 </span>            :         // The sampling below computes an estimate of the mode of the parent</a>
+<a name="489"><span class="lineNum">     489 </span>            :         // vector, the contents of which are currently in the non-opaque Px</a>
+<a name="490"><span class="lineNum">     490 </span>            :         // array.</a>
+<a name="491"><span class="lineNum">     491 </span>            : </a>
+<a name="492"><span class="lineNum">     492 </span>            :         // hash table size must be a power of 2</a>
+<a name="493"><span class="lineNum">     493 </span>            :         #define HASH_SIZE 1024</a>
+<a name="494"><span class="lineNum">     494 </span>            :         // number of samples to insert into the hash table</a>
+<a name="495"><span class="lineNum">     495 </span>            :         #define HASH_SAMPLES 864</a>
+<a name="496"><span class="lineNum">     496 </span>            :         #define HASH(x) (((x &lt;&lt; 4) + x) &amp; (HASH_SIZE-1))</a>
+<a name="497"><span class="lineNum">     497 </span>            :         #define NEXT(x) ((x + 23) &amp; (HASH_SIZE-1))</a>
+<a name="498"><span class="lineNum">     498 </span>            : </a>
+<a name="499"><span class="lineNum">     499 </span>            :         // allocate and initialize the hash table</a>
+<a name="500"><span class="lineNum">     500 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Malloc ((void **) &amp;ht_key, HASH_SIZE,</span></a>
+<a name="501"><span class="lineNum">     501 </span>            :             sizeof (GrB_Index), msg)) ;</a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">          4 :         LG_TRY (LAGraph_Calloc ((void **) &amp;ht_count, HASH_SIZE,</span></a>
+<a name="503"><span class="lineNum">     503 </span>            :             sizeof (int), msg)) ;</a>
+<a name="504"><span class="lineNum">     504 </span><span class="lineCov">       4100 :         for (int k = 0 ; k &lt; HASH_SIZE ; k++)</span></a>
+<a name="505"><span class="lineNum">     505 </span>            :         {</a>
+<a name="506"><span class="lineNum">     506 </span><span class="lineCov">       4096 :             ht_key [k] = UINT64_MAX ;</span></a>
+<a name="507"><span class="lineNum">     507 </span>            :         }</a>
+<a name="508"><span class="lineNum">     508 </span>            : </a>
+<a name="509"><span class="lineNum">     509 </span>            :         // hash the samples and find the most frequent entry</a>
+<a name="510"><span class="lineNum">     510 </span><span class="lineCov">          4 :         uint64_t seed = n ;         // random number seed</span></a>
+<a name="511"><span class="lineNum">     511 </span><span class="lineCov">          4 :         int64_t key = -1 ;          // most frequent entry</span></a>
+<a name="512"><span class="lineNum">     512 </span><span class="lineCov">          4 :         int max_count = 0 ;         // frequency of most frequent entry</span></a>
+<a name="513"><span class="lineNum">     513 </span><span class="lineCov">       3460 :         for (int64_t k = 0 ; k &lt; HASH_SAMPLES ; k++)</span></a>
+<a name="514"><span class="lineNum">     514 </span>            :         {</a>
+<a name="515"><span class="lineNum">     515 </span>            :             // select an entry from Px at random</a>
+<a name="516"><span class="lineNum">     516 </span><span class="lineCov">       3456 :             GrB_Index x = Px [LG_Random60 (&amp;seed) % n] ;</span></a>
+<a name="517"><span class="lineNum">     517 </span>            :             // find x in the hash table</a>
+<a name="518"><span class="lineNum">     518 </span><span class="lineCov">       3456 :             GrB_Index h = HASH (x) ;</span></a>
+<a name="519"><span class="lineNum">     519 </span><span class="lineCov">       3650 :             while (ht_key [h] != UINT64_MAX &amp;&amp; ht_key [h] != x) h = NEXT (h) ;</span></a>
+<a name="520"><span class="lineNum">     520 </span>            :             // add x to the hash table</a>
+<a name="521"><span class="lineNum">     521 </span><span class="lineCov">       3456 :             ht_key [h] = x ;</span></a>
+<a name="522"><span class="lineNum">     522 </span><span class="lineCov">       3456 :             ht_count [h]++ ;</span></a>
+<a name="523"><span class="lineNum">     523 </span>            :             // keep track of the most frequent value</a>
+<a name="524"><span class="lineNum">     524 </span><span class="lineCov">       3456 :             if (ht_count [h] &gt; max_count)</span></a>
+<a name="525"><span class="lineNum">     525 </span>            :             {</a>
+<a name="526"><span class="lineNum">     526 </span><span class="lineCov">       1864 :                 key = ht_key [h] ;</span></a>
+<a name="527"><span class="lineNum">     527 </span><span class="lineCov">       1864 :                 max_count = ht_count [h] ;</span></a>
+<a name="528"><span class="lineNum">     528 </span>            :             }</a>
+<a name="529"><span class="lineNum">     529 </span>            :         }</a>
+<a name="530"><span class="lineNum">     530 </span>            : </a>
+<a name="531"><span class="lineNum">     531 </span>            :         //----------------------------------------------------------------------</a>
+<a name="532"><span class="lineNum">     532 </span>            :         // compact the largest connected component in A</a>
+<a name="533"><span class="lineNum">     533 </span>            :         //----------------------------------------------------------------------</a>
+<a name="534"><span class="lineNum">     534 </span>            : </a>
+<a name="535"><span class="lineNum">     535 </span>            :         // Construct a new matrix T from the input matrix A (the matrix A is</a>
+<a name="536"><span class="lineNum">     536 </span>            :         // not changed). The key node is the representative of the (estimated)</a>
+<a name="537"><span class="lineNum">     537 </span>            :         // largest component.  T is constructed as a copy of A, except:</a>
+<a name="538"><span class="lineNum">     538 </span>            :         // (1) all edges A(i,:) for nodes i in the key component deleted, and</a>
+<a name="539"><span class="lineNum">     539 </span>            :         // (2) for nodes i not in the key component, A(i,j) is deleted if</a>
+<a name="540"><span class="lineNum">     540 </span>            :         //     j is in the key component.</a>
+<a name="541"><span class="lineNum">     541 </span>            :         // (3) If A(i,:) has any deletions from (2), T(i,key) is added to T.</a>
+<a name="542"><span class="lineNum">     542 </span>            : </a>
+<a name="543"><span class="lineNum">     543 </span>            : // [ todo: replace this with GxB_extract with GrB_Vector index arrays.</a>
+<a name="544"><span class="lineNum">     544 </span>            : // See https://github.com/GraphBLAS/graphblas-api-c/issues/67 .</a>
+<a name="545"><span class="lineNum">     545 </span>            : // This method will not insert the new entries T(i,key) for rows i that have</a>
+<a name="546"><span class="lineNum">     546 </span>            : // had entries deleted.  That can be done with GrB_assign, with an n-by-1 mask</a>
+<a name="547"><span class="lineNum">     547 </span>            : // M computed from the before-and-after row degrees of A and T:</a>
+<a name="548"><span class="lineNum">     548 </span>            : // M = (parent != key) &amp;&amp; (out_degree(T) &lt; out_degree(A))</a>
+<a name="549"><span class="lineNum">     549 </span>            : // J [0] = key.</a>
+<a name="550"><span class="lineNum">     550 </span>            : // GxB_Matrix_subassign_BOOL (T, M, NULL, true, GrB_ALL, n, J, 1, NULL)</a>
+<a name="551"><span class="lineNum">     551 </span>            : // or with</a>
+<a name="552"><span class="lineNum">     552 </span>            : // GrB_Col_assign (T, M, NULL, t, GrB_ALL, j, NULL) with an all-true</a>
+<a name="553"><span class="lineNum">     553 </span>            : // vector t.</a>
+<a name="554"><span class="lineNum">     554 </span>            : </a>
+<a name="555"><span class="lineNum">     555 </span>            :         // unpack T to reuse the space (all content is overwritten below)</a>
+<a name="556"><span class="lineNum">     556 </span>            :         bool T_jumbled, T_iso ;</a>
+<a name="557"><span class="lineNum">     557 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_unpack_CSR (T, &amp;Tp, &amp;Tj, &amp;Tx, &amp;Tp_size, &amp;Tj_size,</span></a>
+<a name="558"><span class="lineNum">     558 </span>            :             &amp;Tx_size, &amp;T_iso, &amp;T_jumbled, NULL)) ;</a>
+<a name="559"><span class="lineNum">     559 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="560"><span class="lineNum">     560 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="561"><span class="lineNum">     561 </span>            :         {</a>
+<a name="562"><span class="lineNum">     562 </span><span class="lineCov">          4 :             GrB_Index p = Ap [range [tid]] ;</span></a>
+<a name="563"><span class="lineNum">     563 </span>            :             // thread tid scans A (range [tid]:range [tid+1]-1,:),</a>
+<a name="564"><span class="lineNum">     564 </span>            :             // and constructs T(i,:) for all rows in this range.</a>
+<a name="565"><span class="lineNum">     565 </span><span class="lineCov">       9756 :             for (int64_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="566"><span class="lineNum">     566 </span>            :             {</a>
+<a name="567"><span class="lineNum">     567 </span><span class="lineCov">       9752 :                 int64_t pi = Px [i] ;   // pi = parent (i)</span></a>
+<a name="568"><span class="lineNum">     568 </span><span class="lineCov">       9752 :                 Tp [i] = p ;            // start the construction of T(i,:)</span></a>
+<a name="569"><span class="lineNum">     569 </span>            :                 // T(i,:) is empty if pi == key</a>
+<a name="570"><span class="lineNum">     570 </span><span class="lineCov">       9752 :                 if (pi != key)</span></a>
+<a name="571"><span class="lineNum">     571 </span>            :                 {</a>
+<a name="572"><span class="lineNum">     572 </span>            :                     // scan A(i,:)</a>
+<a name="573"><span class="lineNum">     573 </span><span class="lineCov">      46550 :                     for (GrB_Index pS = Ap [i] ; pS &lt; Ap [i+1] ; pS++)</span></a>
+<a name="574"><span class="lineNum">     574 </span>            :                     {</a>
+<a name="575"><span class="lineNum">     575 </span>            :                         // get A(i,j)</a>
+<a name="576"><span class="lineNum">     576 </span><span class="lineCov">      41274 :                         int64_t j = Aj [pS] ;</span></a>
+<a name="577"><span class="lineNum">     577 </span><span class="lineCov">      41274 :                         if (Px [j] != key)</span></a>
+<a name="578"><span class="lineNum">     578 </span>            :                         {</a>
+<a name="579"><span class="lineNum">     579 </span>            :                             // add the entry T(i,j) to T, but skip it if</a>
+<a name="580"><span class="lineNum">     580 </span>            :                             // Px [j] is equal to key</a>
+<a name="581"><span class="lineNum">     581 </span><span class="lineCov">      41264 :                             Tj [p++] = j ;</span></a>
+<a name="582"><span class="lineNum">     582 </span>            :                         }</a>
+<a name="583"><span class="lineNum">     583 </span>            :                     }</a>
+<a name="584"><span class="lineNum">     584 </span>            :                     // Add the entry T(i,key) if there is room for it in T(i,:);</a>
+<a name="585"><span class="lineNum">     585 </span>            :                     // if and only if node i is adjacent to a node j in the</a>
+<a name="586"><span class="lineNum">     586 </span>            :                     // largest component.  The only way there can be space if</a>
+<a name="587"><span class="lineNum">     587 </span>            :                     // at least one T(i,j) appears with Px [j] equal to the key</a>
+<a name="588"><span class="lineNum">     588 </span>            :                     // (that is, node j is in the largest connected component,</a>
+<a name="589"><span class="lineNum">     589 </span>            :                     // key == Px [j].  One of these j's can then be replaced</a>
+<a name="590"><span class="lineNum">     590 </span>            :                     // with the key.  If node i is not adjacent to any node in</a>
+<a name="591"><span class="lineNum">     591 </span>            :                     // the largest component, then there is no space in T(i,:)</a>
+<a name="592"><span class="lineNum">     592 </span>            :                     // and no new edge to the largest component is added.</a>
+<a name="593"><span class="lineNum">     593 </span><span class="lineCov">       5276 :                     if (p - Tp [i] &lt; Ap [i+1] - Ap [i])</span></a>
+<a name="594"><span class="lineNum">     594 </span>            :                     {</a>
+<a name="595"><span class="lineNum">     595 </span><span class="lineCov">          2 :                         Tj [p++] = key ;</span></a>
+<a name="596"><span class="lineNum">     596 </span>            :                     }</a>
+<a name="597"><span class="lineNum">     597 </span>            :                 }</a>
+<a name="598"><span class="lineNum">     598 </span>            :             }</a>
+<a name="599"><span class="lineNum">     599 </span>            :             // count the number of entries inserted into T by this thread</a>
+<a name="600"><span class="lineNum">     600 </span><span class="lineCov">          4 :             count [tid] = p - Tp [range [tid]] ;</span></a>
+<a name="601"><span class="lineNum">     601 </span>            :         }</a>
+<a name="602"><span class="lineNum">     602 </span>            : </a>
+<a name="603"><span class="lineNum">     603 </span>            :         // Compact empty space out of Tj not filled in from the above phase.</a>
+<a name="604"><span class="lineNum">     604 </span><span class="lineCov">          4 :         nvals = 0 ;</span></a>
+<a name="605"><span class="lineNum">     605 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="606"><span class="lineNum">     606 </span>            :         {</a>
+<a name="607"><span class="lineNum">     607 </span><span class="lineCov">          4 :             memmove (Tj + nvals,</span></a>
+<a name="608"><span class="lineNum">     608 </span><span class="lineCov">          4 :                 Tj + Tp [range [tid]], sizeof (GrB_Index) * count [tid]) ;</span></a>
+<a name="609"><span class="lineNum">     609 </span><span class="lineCov">          4 :             nvals += count [tid] ;</span></a>
+<a name="610"><span class="lineNum">     610 </span><span class="lineCov">          4 :             count [tid] = nvals - count [tid] ;</span></a>
+<a name="611"><span class="lineNum">     611 </span>            :         }</a>
+<a name="612"><span class="lineNum">     612 </span>            : </a>
+<a name="613"><span class="lineNum">     613 </span>            :         // Compact empty space out of Tp</a>
+<a name="614"><span class="lineNum">     614 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="615"><span class="lineNum">     615 </span><span class="lineCov">          8 :         for (tid = 0 ; tid &lt; nthreads ; tid++)</span></a>
+<a name="616"><span class="lineNum">     616 </span>            :         {</a>
+<a name="617"><span class="lineNum">     617 </span><span class="lineCov">          4 :             GrB_Index p = Tp [range [tid]] ;</span></a>
+<a name="618"><span class="lineNum">     618 </span><span class="lineCov">       9756 :             for (int64_t i = range [tid] ; i &lt; range [tid+1] ; i++)</span></a>
+<a name="619"><span class="lineNum">     619 </span>            :             {</a>
+<a name="620"><span class="lineNum">     620 </span><span class="lineCov">       9752 :                 Tp [i] -= p - count [tid] ;</span></a>
+<a name="621"><span class="lineNum">     621 </span>            :             }</a>
+<a name="622"><span class="lineNum">     622 </span>            :         }</a>
+<a name="623"><span class="lineNum">     623 </span>            : </a>
+<a name="624"><span class="lineNum">     624 </span>            :         // finalize T</a>
+<a name="625"><span class="lineNum">     625 </span><span class="lineCov">          4 :         Tp [n] = nvals ;</span></a>
+<a name="626"><span class="lineNum">     626 </span>            : </a>
+<a name="627"><span class="lineNum">     627 </span>            :         // pack T for the final phase</a>
+<a name="628"><span class="lineNum">     628 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_pack_CSR (T, &amp;Tp, &amp;Tj, &amp;Tx, Tp_size, Tj_size,</span></a>
+<a name="629"><span class="lineNum">     629 </span>            :             Tx_size, T_iso, /* T is now jumbled */ true, NULL)) ;</a>
+<a name="630"><span class="lineNum">     630 </span>            : </a>
+<a name="631"><span class="lineNum">     631 </span>            :         // pack A (unchanged since last unpack); this is the original G-&gt;A.</a>
+<a name="632"><span class="lineNum">     632 </span><span class="lineCov">          4 :         GRB_TRY (GxB_Matrix_pack_CSR (A, &amp;Ap, &amp;Aj, &amp;Ax, Ap_size, Aj_size,</span></a>
+<a name="633"><span class="lineNum">     633 </span>            :             Ax_size, A_iso, A_jumbled, NULL)) ;</a>
+<a name="634"><span class="lineNum">     634 </span>            : </a>
+<a name="635"><span class="lineNum">     635 </span>            : // ].  The unpack/pack of A into Ap, Aj, Ax will not be needed, and G-&gt;A</a>
+<a name="636"><span class="lineNum">     636 </span>            : // will become truly a read-only matrix.</a>
+<a name="637"><span class="lineNum">     637 </span>            : </a>
+<a name="638"><span class="lineNum">     638 </span>            :         // final phase uses the pruned matrix T</a>
+<a name="639"><span class="lineNum">     639 </span><span class="lineCov">          4 :         A = T ;</span></a>
+<a name="640"><span class="lineNum">     640 </span>            :     }</a>
+<a name="641"><span class="lineNum">     641 </span>            : </a>
+<a name="642"><span class="lineNum">     642 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="643"><span class="lineNum">     643 </span>            :     // check for quick return</a>
+<a name="644"><span class="lineNum">     644 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="645"><span class="lineNum">     645 </span>            : </a>
+<a name="646"><span class="lineNum">     646 </span>            :     // The sample phase may have already found that G-&gt;A has a single component,</a>
+<a name="647"><span class="lineNum">     647 </span>            :     // in which case the matrix A is now empty.</a>
+<a name="648"><span class="lineNum">     648 </span>            : </a>
+<a name="649"><span class="lineNum">     649 </span><span class="lineCov">         34 :     if (nvals == 0)</span></a>
+<a name="650"><span class="lineNum">     650 </span>            :     {</a>
+<a name="651"><span class="lineNum">     651 </span><span class="lineCov">          2 :         (*component) = parent ;</span></a>
+<a name="652"><span class="lineNum">     652 </span><span class="lineCov">          2 :         LG_FREE_WORK ;</span></a>
+<a name="653"><span class="lineNum">     653 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="654"><span class="lineNum">     654 </span>            :     }</a>
+<a name="655"><span class="lineNum">     655 </span>            : </a>
+<a name="656"><span class="lineNum">     656 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="657"><span class="lineNum">     657 </span>            :     // final phase</a>
+<a name="658"><span class="lineNum">     658 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="659"><span class="lineNum">     659 </span>            : </a>
+<a name="660"><span class="lineNum">     660 </span><span class="lineCov">         32 :     LG_TRY (fastsv (A, parent, mngp, &amp;gp, &amp;gp_new, t, eq, min, min_2nd,</span></a>
+<a name="661"><span class="lineNum">     661 </span>            :         C, &amp;Cp, &amp;Px, &amp;Cx, msg)) ;</a>
+<a name="662"><span class="lineNum">     662 </span>            : </a>
+<a name="663"><span class="lineNum">     663 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="664"><span class="lineNum">     664 </span>            :     // free workspace and return result</a>
+<a name="665"><span class="lineNum">     665 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="666"><span class="lineNum">     666 </span>            : </a>
+<a name="667"><span class="lineNum">     667 </span><span class="lineCov">         23 :     (*component) = parent ;</span></a>
+<a name="668"><span class="lineNum">     668 </span><span class="lineCov">         23 :     LG_FREE_WORK ;</span></a>
+<a name="669"><span class="lineNum">     669 </span><span class="lineCov">         23 :     return (GrB_SUCCESS) ;</span></a>
+<a name="670"><span class="lineNum">     670 </span>            : #endif</a>
+<a name="671"><span class="lineNum">     671 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/index-sort-f.html b/src/algorithm/index-sort-f.html
new file mode 100644
index 0000000000..9425d54a01
--- /dev/null
+++ b/src/algorithm/index-sort-f.html
@@ -0,0 +1,203 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/algorithm</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_TriangleCount.c.gcov.html">LAGraph_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_Betweenness.c.gcov.html">LAGr_Betweenness.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRankGAP.c.gcov.html">LAGr_PageRankGAP.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_vanilla.c.gcov.html">LG_BreadthFirstSearch_vanilla.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">48 / 48</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SingleSourceShortestPath.c.gcov.html">LAGr_SingleSourceShortestPath.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">161 / 161</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_BreadthFirstSearch.c.gcov.html">LAGr_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_ConnectedComponents.c.gcov.html">LAGr_ConnectedComponents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRank.c.gcov.html">LAGr_PageRank.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">54 / 54</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html">LG_BreadthFirstSearch_SSGrB.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">90 / 90</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_FastSV6.c.gcov.html">LG_CC_FastSV6.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_TriangleCount.c.gcov.html">LAGr_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">103 / 103</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_Boruvka.c.gcov.html">LG_CC_Boruvka.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">69 / 69</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/index-sort-l.html b/src/algorithm/index-sort-l.html
new file mode 100644
index 0000000000..d5d12afc6a
--- /dev/null
+++ b/src/algorithm/index-sort-l.html
@@ -0,0 +1,203 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/algorithm</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_BreadthFirstSearch.c.gcov.html">LAGr_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_ConnectedComponents.c.gcov.html">LAGr_ConnectedComponents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_TriangleCount.c.gcov.html">LAGraph_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRankGAP.c.gcov.html">LAGr_PageRankGAP.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_vanilla.c.gcov.html">LG_BreadthFirstSearch_vanilla.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">48 / 48</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRank.c.gcov.html">LAGr_PageRank.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">54 / 54</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_Boruvka.c.gcov.html">LG_CC_Boruvka.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">69 / 69</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_Betweenness.c.gcov.html">LAGr_Betweenness.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html">LG_BreadthFirstSearch_SSGrB.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">90 / 90</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_TriangleCount.c.gcov.html">LAGr_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">103 / 103</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SingleSourceShortestPath.c.gcov.html">LAGr_SingleSourceShortestPath.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">161 / 161</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_FastSV6.c.gcov.html">LG_CC_FastSV6.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/algorithm/index.html b/src/algorithm/index.html
new file mode 100644
index 0000000000..8a1adf3903
--- /dev/null
+++ b/src/algorithm/index.html
@@ -0,0 +1,203 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/algorithm</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/algorithm</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntry">805</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_Betweenness.c.gcov.html">LAGr_Betweenness.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">70 / 70</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_BreadthFirstSearch.c.gcov.html">LAGr_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_ConnectedComponents.c.gcov.html">LAGr_ConnectedComponents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRank.c.gcov.html">LAGr_PageRank.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">54 / 54</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_PageRankGAP.c.gcov.html">LAGr_PageRankGAP.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SingleSourceShortestPath.c.gcov.html">LAGr_SingleSourceShortestPath.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">161 / 161</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_TriangleCount.c.gcov.html">LAGr_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">103 / 103</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_TriangleCount.c.gcov.html">LAGraph_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_SSGrB.c.gcov.html">LG_BreadthFirstSearch_SSGrB.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">90 / 90</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_BreadthFirstSearch_vanilla.c.gcov.html">LG_BreadthFirstSearch_vanilla.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">48 / 48</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_Boruvka.c.gcov.html">LG_CC_Boruvka.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">69 / 69</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_CC_FastSV6.c.gcov.html">LG_CC_FastSV6.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">162 / 162</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_malloc.c.func-sort-c.html b/src/test/LG_brutal_malloc.c.func-sort-c.html
new file mode 100644
index 0000000000..f97687dc6f
--- /dev/null
+++ b/src/test/LG_brutal_malloc.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_malloc.c<span style="font-size: 80%;"> (<a href="LG_brutal_malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_brutal_malloc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#86">LG_brutal_calloc</a></td>
+              <td class="coverFnHi">681</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#128">LG_brutal_realloc</a></td>
+              <td class="coverFnHi">25016</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#106">LG_brutal_free</a></td>
+              <td class="coverFnHi">880536</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#48">LG_brutal_malloc</a></td>
+              <td class="coverFnHi">918370</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_malloc.c.func.html b/src/test/LG_brutal_malloc.c.func.html
new file mode 100644
index 0000000000..f65f7d2980
--- /dev/null
+++ b/src/test/LG_brutal_malloc.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_malloc.c<span style="font-size: 80%;"> (<a href="LG_brutal_malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_brutal_malloc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#86">LG_brutal_calloc</a></td>
+              <td class="coverFnHi">681</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#106">LG_brutal_free</a></td>
+              <td class="coverFnHi">880536</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#48">LG_brutal_malloc</a></td>
+              <td class="coverFnHi">918370</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_malloc.c.gcov.html#128">LG_brutal_realloc</a></td>
+              <td class="coverFnHi">25016</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_malloc.c.gcov.html b/src/test/LG_brutal_malloc.c.gcov.html
new file mode 100644
index 0000000000..6b6a3ba35a
--- /dev/null
+++ b/src/test/LG_brutal_malloc.c.gcov.html
@@ -0,0 +1,240 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_malloc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_malloc.c<span style="font-size: 80%;"> (source / <a href="LG_brutal_malloc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_brutal_malloc: brutal memory debugging</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // To enable brutal memory debugging, these four functions must be passed to</a>
+<a name="19"><span class="lineNum">      19 </span>            : // LAGr_Init.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // global variables: LG_brutal and LG_nmalloc</a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // If LG_brutal &gt;= 0, then that value gives the # of malloc/calloc/realloc</a>
+<a name="29"><span class="lineNum">      29 </span>            : // calls that will succeed.  Each time malloc/calloc/realloc is called, the</a>
+<a name="30"><span class="lineNum">      30 </span>            : // LG_brutal count is decremented.  Once it reaches zero, no more memory</a>
+<a name="31"><span class="lineNum">      31 </span>            : // allocations will occur, and LG_brutal_malloc, etc, all pretend to fail</a>
+<a name="32"><span class="lineNum">      32 </span>            : // and return NULL.</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // If LG_brutal is negative, the LG_brutal_malloc/calloc/realloc functions act</a>
+<a name="35"><span class="lineNum">      35 </span>            : // like the regular malloc/calloc/realloc functions, with no pretend failures.</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : // LG_nmalloc is the count of the # of allocated blocks.  It is incremented by</a>
+<a name="38"><span class="lineNum">      38 </span>            : // LG_brutal_malloc/calloc and by LG_brutal_realloc if a new block is allocated.</a>
+<a name="39"><span class="lineNum">      39 </span>            : // It is decremented by LG_brutal_free.  After LAGraph_Finalize is called,</a>
+<a name="40"><span class="lineNum">      40 </span>            : // this value should be zero.  If nonzero, a memory leak has occured.</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : LG_TEST_PUBLIC int64_t LG_brutal = -1 ;</a>
+<a name="43"><span class="lineNum">      43 </span>            : LG_TEST_PUBLIC int64_t LG_nmalloc = 0 ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //------------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : // LG_brutal_malloc</a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : LG_TEST_PUBLIC</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">     918370 : void *LG_brutal_malloc      // return pointer to allocated block of memory</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : (</a>
+<a name="52"><span class="lineNum">      52 </span>            :     size_t size             // # of bytes to allocate</a>
+<a name="53"><span class="lineNum">      53 </span>            : )</a>
+<a name="54"><span class="lineNum">      54 </span>            : {</a>
+<a name="55"><span class="lineNum">      55 </span>            :     void *p ;</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">     918370 :     if (LG_brutal == 0)</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     {</a>
+<a name="58"><span class="lineNum">      58 </span>            :         // pretend to fail</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">      37834 :         p = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :     }</a>
+<a name="61"><span class="lineNum">      61 </span>            :     else</a>
+<a name="62"><span class="lineNum">      62 </span>            :     {</a>
+<a name="63"><span class="lineNum">      63 </span>            :         // malloc a new block</a>
+<a name="64"><span class="lineNum">      64 </span>            :         #pragma omp critical (LG_brutal_malloc_critical)</a>
+<a name="65"><span class="lineNum">      65 </span>            :         {</a>
+<a name="66"><span class="lineNum">      66 </span>            :             // malloc the block of memory (of size at least 1 byte)</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">     880536 :             p = malloc (LAGRAPH_MAX (1, size)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">     880536 :             if (LG_brutal &gt; 0)</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :             {</a>
+<a name="70"><span class="lineNum">      70 </span>            :                 // one step closer to pretending to fail</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">     863933 :                 LG_brutal-- ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :             }</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">     880536 :             if (p != NULL)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :             {</a>
+<a name="75"><span class="lineNum">      75 </span>            :                 // one more block of memory successfully allocated</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">     880536 :                 LG_nmalloc++ ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :             }</a>
+<a name="78"><span class="lineNum">      78 </span>            :         }</a>
+<a name="79"><span class="lineNum">      79 </span>            :     }</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">     918370 :     return (p) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : }</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : //------------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            : // LG_brutal_calloc</a>
+<a name="85"><span class="lineNum">      85 </span>            : //------------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : LG_TEST_PUBLIC</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        681 : void *LG_brutal_calloc      // return pointer to allocated block of memory</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : (</a>
+<a name="90"><span class="lineNum">      90 </span>            :     size_t nitems,          // # of items to allocate</a>
+<a name="91"><span class="lineNum">      91 </span>            :     size_t itemsize         // # of bytes per item</a>
+<a name="92"><span class="lineNum">      92 </span>            : )</a>
+<a name="93"><span class="lineNum">      93 </span>            : {</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        681 :     size_t size = LAGRAPH_MAX (1, nitems * itemsize) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        681 :     void *p = LG_brutal_malloc (size) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">        681 :     if (p != NULL)</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     {</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        680 :         memset (p, 0, size) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     }</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        681 :     return (p) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            : //------------------------------------------------------------------------------</a>
+<a name="104"><span class="lineNum">     104 </span>            : // LG_brutal_free</a>
+<a name="105"><span class="lineNum">     105 </span>            : //------------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            : LG_TEST_PUBLIC</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">     880536 : void LG_brutal_free</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : (</a>
+<a name="110"><span class="lineNum">     110 </span>            :     void *p                 // block to free</a>
+<a name="111"><span class="lineNum">     111 </span>            : )</a>
+<a name="112"><span class="lineNum">     112 </span>            : {</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">     880536 :     if (p != NULL)</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span>            :         #pragma omp critical (LG_brutal_malloc_critical)</a>
+<a name="116"><span class="lineNum">     116 </span>            :         {</a>
+<a name="117"><span class="lineNum">     117 </span>            :             // free the block</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">     880536 :             free (p) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :             // one less block of memory allocated</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">     880536 :             LG_nmalloc-- ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :         }</a>
+<a name="122"><span class="lineNum">     122 </span>            :     }</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">     880536 : }</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            : //------------------------------------------------------------------------------</a>
+<a name="126"><span class="lineNum">     126 </span>            : // LG_brutal_realloc</a>
+<a name="127"><span class="lineNum">     127 </span>            : //------------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            : LG_TEST_PUBLIC</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">      25016 : void *LG_brutal_realloc     // return pointer to reallocated memory</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : (</a>
+<a name="132"><span class="lineNum">     132 </span>            :     void *p,                // block to realloc</a>
+<a name="133"><span class="lineNum">     133 </span>            :     size_t size             // new size of the block</a>
+<a name="134"><span class="lineNum">     134 </span>            : )</a>
+<a name="135"><span class="lineNum">     135 </span>            : {</a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">      25016 :     if (p == NULL)</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :     {</a>
+<a name="138"><span class="lineNum">     138 </span>            :         // malloc a new block</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          4 :         p = LG_brutal_malloc (size) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :     }</a>
+<a name="141"><span class="lineNum">     141 </span>            :     else</a>
+<a name="142"><span class="lineNum">     142 </span>            :     {</a>
+<a name="143"><span class="lineNum">     143 </span>            :         // realloc an existing block</a>
+<a name="144"><span class="lineNum">     144 </span>            :         #pragma omp critical (LG_brutal_malloc_critical)</a>
+<a name="145"><span class="lineNum">     145 </span>            :         {</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">      25012 :             if (LG_brutal == 0)</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :             {</a>
+<a name="148"><span class="lineNum">     148 </span>            :                 // pretend to fail</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        658 :                 p = NULL ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :             }</a>
+<a name="151"><span class="lineNum">     151 </span>            :             else</a>
+<a name="152"><span class="lineNum">     152 </span>            :             {</a>
+<a name="153"><span class="lineNum">     153 </span>            :                 // realloc the block</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">      24354 :                 p = realloc (p, size) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">      24354 :                 if (LG_brutal &gt; 0)</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :                 {</a>
+<a name="157"><span class="lineNum">     157 </span>            :                     // one step closer to pretending to fail</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">      24327 :                     LG_brutal-- ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            :                 }</a>
+<a name="160"><span class="lineNum">     160 </span>            :             }</a>
+<a name="161"><span class="lineNum">     161 </span>            :         }</a>
+<a name="162"><span class="lineNum">     162 </span>            :     }</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">      25016 :     return (p) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_setup.c.func-sort-c.html b/src/test/LG_brutal_setup.c.func-sort-c.html
new file mode 100644
index 0000000000..393ac1cf20
--- /dev/null
+++ b/src/test/LG_brutal_setup.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_setup.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_setup.c<span style="font-size: 80%;"> (<a href="LG_brutal_setup.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_brutal_setup.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_setup.c.gcov.html#19">LG_brutal_setup</a></td>
+              <td class="coverFnHi">27</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_setup.c.func.html b/src/test/LG_brutal_setup.c.func.html
new file mode 100644
index 0000000000..4989e96291
--- /dev/null
+++ b/src/test/LG_brutal_setup.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_setup.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_setup.c<span style="font-size: 80%;"> (<a href="LG_brutal_setup.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_brutal_setup.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_setup.c.gcov.html#19">LG_brutal_setup</a></td>
+              <td class="coverFnHi">27</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_setup.c.gcov.html b/src/test/LG_brutal_setup.c.gcov.html
new file mode 100644
index 0000000000..18a92429e3
--- /dev/null
+++ b/src/test/LG_brutal_setup.c.gcov.html
@@ -0,0 +1,112 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_setup.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_setup.c<span style="font-size: 80%;"> (source / <a href="LG_brutal_setup.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_brutal_setup.c: setup an LAGraph test with brutal memory testing</a>
+<a name="3"><span class="lineNum">       3 </span>            : // -----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">         27 : int LG_brutal_setup (char *msg)</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : {</a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">         27 :     LG_brutal = -1 ;        // disable brutal testing for now</span></a>
+<a name="24"><span class="lineNum">      24 </span><span class="lineCov">         27 :     LG_nmalloc = 0 ;        // assuming nothing is malloc'd</span></a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">         27 :     int result = LAGr_Init (GrB_NONBLOCKING,</span></a>
+<a name="26"><span class="lineNum">      26 </span>            :         LG_brutal_malloc, LG_brutal_calloc,</a>
+<a name="27"><span class="lineNum">      27 </span>            :         LG_brutal_realloc, LG_brutal_free, msg) ;</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">         27 :     if (result != 0) return (result) ;</span></a>
+<a name="29"><span class="lineNum">      29 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // disable the SuiteSparse:GraphBLAS memory pool</a>
+<a name="31"><span class="lineNum">      31 </span>            :     int64_t free_pool_limit [64] ;</a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">         27 :     memset (free_pool_limit, 0, 64 * sizeof (int64_t)) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">         27 :     result = GxB_set (GxB_MEMORY_POOL, free_pool_limit) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :     #endif</a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">         27 :     return (result) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_teardown.c.func-sort-c.html b/src/test/LG_brutal_teardown.c.func-sort-c.html
new file mode 100644
index 0000000000..5e5473920e
--- /dev/null
+++ b/src/test/LG_brutal_teardown.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_teardown.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_teardown.c<span style="font-size: 80%;"> (<a href="LG_brutal_teardown.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_brutal_teardown.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_teardown.c.gcov.html#19">LG_brutal_teardown</a></td>
+              <td class="coverFnHi">27</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_teardown.c.func.html b/src/test/LG_brutal_teardown.c.func.html
new file mode 100644
index 0000000000..25b50d00d6
--- /dev/null
+++ b/src/test/LG_brutal_teardown.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_teardown.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_teardown.c<span style="font-size: 80%;"> (<a href="LG_brutal_teardown.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_brutal_teardown.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_brutal_teardown.c.gcov.html#19">LG_brutal_teardown</a></td>
+              <td class="coverFnHi">27</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_brutal_teardown.c.gcov.html b/src/test/LG_brutal_teardown.c.gcov.html
new file mode 100644
index 0000000000..91aba605b6
--- /dev/null
+++ b/src/test/LG_brutal_teardown.c.gcov.html
@@ -0,0 +1,103 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_brutal_teardown.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_brutal_teardown.c<span style="font-size: 80%;"> (source / <a href="LG_brutal_teardown.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_brutal_teardown.c: teardown an LAGraph test with brutal memory testing</a>
+<a name="3"><span class="lineNum">       3 </span>            : // -----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">         27 : int LG_brutal_teardown (char *msg)</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : {</a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">         27 :     LG_TRY (LAGraph_Finalize (msg)) ;</span></a>
+<a name="24"><span class="lineNum">      24 </span>            :     // nothing must be left allocated</a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">         27 :     if (LG_nmalloc != 0) printf (&quot;Leak! %g\n&quot;, (double) LG_nmalloc) ;</span></a>
+<a name="26"><span class="lineNum">      26 </span><span class="lineCov">         27 :     return ((LG_nmalloc == 0) ? 0 : -911) ;</span></a>
+<a name="27"><span class="lineNum">      27 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_bfs.c.func-sort-c.html b/src/test/LG_check_bfs.c.func-sort-c.html
new file mode 100644
index 0000000000..7e857dc24f
--- /dev/null
+++ b/src/test/LG_check_bfs.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_bfs.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_bfs.c<span style="font-size: 80%;"> (<a href="LG_check_bfs.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_bfs.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_bfs.c.gcov.html#46">LG_check_bfs</a></td>
+              <td class="coverFnHi">1539</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_bfs.c.func.html b/src/test/LG_check_bfs.c.func.html
new file mode 100644
index 0000000000..89d5f9b284
--- /dev/null
+++ b/src/test/LG_check_bfs.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_bfs.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_bfs.c<span style="font-size: 80%;"> (<a href="LG_check_bfs.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_bfs.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_bfs.c.gcov.html#46">LG_check_bfs</a></td>
+              <td class="coverFnHi">1539</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_bfs.c.gcov.html b/src/test/LG_check_bfs.c.gcov.html
new file mode 100644
index 0000000000..7ab72c2992
--- /dev/null
+++ b/src/test/LG_check_bfs.c.gcov.html
@@ -0,0 +1,321 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_bfs.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_bfs.c<span style="font-size: 80%;"> (source / <a href="LG_check_bfs.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntry">71</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/LG_check_bfs: stand-alone test for BFS</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_WORK                                \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                                                   \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     LAGraph_Free ((void **) &amp;queue, NULL) ;         \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     LAGraph_Free ((void **) &amp;level_check, NULL) ;   \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LAGraph_Free ((void **) &amp;level_in, NULL) ;      \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Free ((void **) &amp;parent_in, NULL) ;     \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_Free ((void **) &amp;visited, NULL) ;       \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     LAGraph_Free ((void **) &amp;neighbors, NULL) ;     \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     GrB_free (&amp;Row) ;                               \</a>
+<a name="27"><span class="lineNum">      27 </span>            : }</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LG_FREE_ALL                                 \</a>
+<a name="30"><span class="lineNum">      30 </span>            : {                                                   \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     LG_FREE_WORK ;                                  \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     LAGraph_Free ((void **) &amp;Ap, NULL) ;            \</a>
+<a name="33"><span class="lineNum">      33 </span>            :     LAGraph_Free ((void **) &amp;Aj, NULL) ;            \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     LAGraph_Free ((void **) &amp;Ax, NULL) ;            \</a>
+<a name="35"><span class="lineNum">      35 </span>            : }</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="38"><span class="lineNum">      38 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : //------------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            : // test the results from a BFS</a>
+<a name="42"><span class="lineNum">      42 </span>            : //------------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : // Because this method does on GxB_unpack on G-&gt;A, it should not be used in a</a>
+<a name="45"><span class="lineNum">      45 </span>            : // brutal memory test, unless the caller is prepared to reconstruct G-&gt;A</a>
+<a name="46"><span class="lineNum">      46 </span>            : // when the brutal test causes this method to return early.</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">       1539 : int LG_check_bfs</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : (</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // input</a>
+<a name="51"><span class="lineNum">      51 </span>            :     GrB_Vector Level,       // optional; may be NULL</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_Vector Parent,      // optional; may be NULL</a>
+<a name="53"><span class="lineNum">      53 </span>            :     LAGraph_Graph G,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Index src,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     char *msg</a>
+<a name="56"><span class="lineNum">      56 </span>            : )</a>
+<a name="57"><span class="lineNum">      57 </span>            : {</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="60"><span class="lineNum">      60 </span>            :     // check inputs</a>
+<a name="61"><span class="lineNum">      61 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">       1539 :     double tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       1539 :     GrB_Vector Row = NULL ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       1539 :     GrB_Index *Ap = NULL, *Aj = NULL, *neighbors = NULL ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">       1539 :     void *Ax = NULL ;</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :     GrB_Index Ap_size, Aj_size, Ax_size, n, ncols ;</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">       1539 :     int64_t *queue = NULL, *level_in = NULL, *parent_in = NULL,</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">       1539 :         *level_check = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">       1539 :     bool *visited = NULL ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">       1539 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">       1539 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">       1539 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       1539 :     bool print_timings = (n &gt;= 2000) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            :     // allocate workspace</a>
+<a name="79"><span class="lineNum">      79 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">       1539 :     LG_TRY (LAGraph_Malloc ((void **) &amp;queue, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       1539 :     LG_TRY (LAGraph_Malloc ((void **) &amp;level_check, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            :     // get the contents of the Level and Parent vectors</a>
+<a name="86"><span class="lineNum">      86 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">       1539 :     if (Level != NULL)</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     {</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">       1179 :         LG_TRY (LAGraph_Malloc ((void **) &amp;level_in, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       1179 :         LG_TRY (LG_check_vector (level_in, Level, n, -1)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     }</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       1539 :     if (Parent != NULL)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     {</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">        932 :         LG_TRY (LAGraph_Malloc ((void **) &amp;parent_in, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">        932 :         LG_TRY (LG_check_vector (parent_in, Parent, n, -1)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     }</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="101"><span class="lineNum">     101 </span>            :     // unpack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="102"><span class="lineNum">     102 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="105"><span class="lineNum">     105 </span>            :     bool iso, jumbled ;</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">       1539 :     GRB_TRY (GxB_Matrix_unpack_CSR (G-&gt;A,</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :         &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_size, &amp;Aj_size, &amp;Ax_size, &amp;iso, &amp;jumbled, NULL)) ;</a>
+<a name="108"><span class="lineNum">     108 </span>            :     #endif</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="111"><span class="lineNum">     111 </span>            :     // compute the level of each node</a>
+<a name="112"><span class="lineNum">     112 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">       1539 :     if (print_timings)</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :     {</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         72 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         72 :         printf (&quot;LG_check_bfs init  time: %g sec\n&quot;, tt) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         72 :         tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :     }</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">       1539 :     queue [0] = src ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">       1539 :     int64_t head = 0 ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">       1539 :     int64_t tail = 1 ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">       1539 :     LG_TRY (LAGraph_Calloc ((void **) &amp;visited, n, sizeof (bool), msg)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">       1539 :     visited [src] = true ;      // src is visited, and is level 0</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">     279809 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :     {</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">     278270 :         level_check [i] = -1 ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :     }</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">       1539 :     level_check [src] = 0 ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     #if !LAGRAPH_SUITESPARSE</a>
+<a name="134"><span class="lineNum">     134 </span>            :     GRB_TRY (GrB_Vector_new (&amp;Row, GrB_BOOL, n)) ;</a>
+<a name="135"><span class="lineNum">     135 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;neighbors, n, sizeof (GrB_Index), msg)) ;</a>
+<a name="136"><span class="lineNum">     136 </span>            :     #endif</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">     277589 :     while (head &lt; tail)</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :     {</a>
+<a name="140"><span class="lineNum">     140 </span>            :         // dequeue the node at the head of the queue</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">     276050 :         int64_t u = queue [head++] ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // directly access the indices of entries in A(u,:)</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">     276050 :         GrB_Index degree = Ap [u+1] - Ap [u] ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">     276050 :         GrB_Index *node_u_adjacency_list = Aj + Ap [u] ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :         #else</a>
+<a name="148"><span class="lineNum">     148 </span>            :         // extract the indices of entries in A(u,:)</a>
+<a name="149"><span class="lineNum">     149 </span>            :         GrB_Index degree = n ;</a>
+<a name="150"><span class="lineNum">     150 </span>            :         GRB_TRY (GrB_Col_extract (Row, NULL, NULL, G-&gt;A, GrB_ALL, n, u,</a>
+<a name="151"><span class="lineNum">     151 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="152"><span class="lineNum">     152 </span>            :         GRB_TRY (GrB_Vector_extractTuples_BOOL (neighbors, NULL, &amp;degree, Row));</a>
+<a name="153"><span class="lineNum">     153 </span>            :         GrB_Index *node_u_adjacency_list = neighbors ;</a>
+<a name="154"><span class="lineNum">     154 </span>            :         #endif</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :         // traverse all entries in A(u,:)</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">    7652626 :         for (int64_t k = 0 ; k &lt; degree ; k++)</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :         {</a>
+<a name="159"><span class="lineNum">     159 </span>            :             // consider edge (u,v)</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">    7376576 :             int64_t v = node_u_adjacency_list [k] ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">    7376576 :             if (!visited [v])</span></a>
+<a name="162"><span class="lineNum">     162 </span>            :             {</a>
+<a name="163"><span class="lineNum">     163 </span>            :                 // node v is not yet visited; set its level and add to the</a>
+<a name="164"><span class="lineNum">     164 </span>            :                 // end of the queue</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">     274511 :                 visited [v] = true ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">     274511 :                 level_check [v] = level_check [u] + 1 ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">     274511 :                 queue [tail++] = v ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :             }</a>
+<a name="169"><span class="lineNum">     169 </span>            :         }</a>
+<a name="170"><span class="lineNum">     170 </span>            :     }</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">       1539 :     if (print_timings)</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :     {</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">         72 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         72 :         printf (&quot;LG_check_bfs bfs   time: %g sec\n&quot;, tt) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         72 :         tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :     }</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            :     // repack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="181"><span class="lineNum">     181 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">       1539 :     GRB_TRY (GxB_Matrix_pack_CSR (G-&gt;A,</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :         &amp;Ap, &amp;Aj, &amp;Ax, Ap_size, Aj_size, Ax_size, iso, jumbled, NULL)) ;</a>
+<a name="186"><span class="lineNum">     186 </span>            :     #endif</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="189"><span class="lineNum">     189 </span>            :     // check the level of each node</a>
+<a name="190"><span class="lineNum">     190 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">       1539 :     if (level_in != NULL)</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :     {</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">     188513 :         for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="195"><span class="lineNum">     195 </span>            :         {</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">     187334 :             bool ok = (level_in [i] == level_check [i]) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">     187334 :             LG_ASSERT_MSG (ok, -2000, &quot;invalid level&quot;) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :         }</a>
+<a name="199"><span class="lineNum">     199 </span>            :     }</a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            :     // check the parent of each node</a>
+<a name="203"><span class="lineNum">     203 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">       1539 :     if (parent_in != NULL)</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     {</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">     184940 :         for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :         {</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">     184008 :             if (i == src)</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :             {</a>
+<a name="211"><span class="lineNum">     211 </span>            :                 // src node is its own parent</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">        932 :                 bool ok = (parent_in [src] == src) &amp;&amp; (visited [src]) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">        932 :                 LG_ASSERT_MSG (ok, -2001, &quot;invalid parent&quot;) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :             }</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">     183076 :             else if (visited [i])</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :             {</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">     181744 :                 int64_t pi = parent_in [i] ;</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :                 // ensure the parent pi is valid and has been visited</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">     181744 :                 bool ok = (pi &gt;= 0 &amp;&amp; pi &lt; n) &amp;&amp; visited [pi] ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">     181744 :                 LG_ASSERT_MSG (ok, -2001, &quot;invalid parent&quot;) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :                 // ensure the edge (pi,i) exists</a>
+<a name="222"><span class="lineNum">     222 </span>            :                 bool x ;</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">     181744 :                 int info = GrB_Matrix_extractElement_BOOL (&amp;x, G-&gt;A, pi, i) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">     181744 :                 ok = (info == GrB_SUCCESS) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">     181744 :                 LG_ASSERT_MSG (ok, -2001, &quot;invalid parent&quot;) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :                 // ensure the parent's level is ok</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">     181744 :                 ok = (level_check [i] == level_check [pi] + 1) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">     181744 :                 LG_ASSERT_MSG (ok, -2001, &quot;invalid parent&quot;) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :             }</a>
+<a name="230"><span class="lineNum">     230 </span>            :         }</a>
+<a name="231"><span class="lineNum">     231 </span>            :     }</a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="234"><span class="lineNum">     234 </span>            :     // free workspace and return result</a>
+<a name="235"><span class="lineNum">     235 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">       1539 :     LG_FREE_WORK ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">       1539 :     if (print_timings)</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :     {</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">         72 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">         72 :         printf (&quot;LG_check_bfs check time: %g sec\n&quot;, tt) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span>            :     }</a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">       1539 :     return (GrB_SUCCESS) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_cc.c.func-sort-c.html b/src/test/LG_check_cc.c.func-sort-c.html
new file mode 100644
index 0000000000..3c249ce06c
--- /dev/null
+++ b/src/test/LG_check_cc.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_cc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_cc.c<span style="font-size: 80%;"> (<a href="LG_check_cc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_cc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_cc.c.gcov.html#50">LG_check_cc</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_cc.c.func.html b/src/test/LG_check_cc.c.func.html
new file mode 100644
index 0000000000..9fbb825d0c
--- /dev/null
+++ b/src/test/LG_check_cc.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_cc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_cc.c<span style="font-size: 80%;"> (<a href="LG_check_cc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_cc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_cc.c.gcov.html#50">LG_check_cc</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_cc.c.gcov.html b/src/test/LG_check_cc.c.gcov.html
new file mode 100644
index 0000000000..c83fc4a7a5
--- /dev/null
+++ b/src/test/LG_check_cc.c.gcov.html
@@ -0,0 +1,304 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_cc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_cc.c<span style="font-size: 80%;"> (source / <a href="LG_check_cc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntry">63</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/LG_check_cc: stand-alone test for CC</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_WORK                                \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                                                   \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     LAGraph_Free ((void **) &amp;queue, NULL) ;         \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     LAGraph_Free ((void **) &amp;component_in, NULL) ;  \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LAGraph_Free ((void **) &amp;visited, NULL) ;       \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Free ((void **) &amp;neighbors, NULL) ;     \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;Row) ;                               \</a>
+<a name="25"><span class="lineNum">      25 </span>            : }</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LG_FREE_ALL                                 \</a>
+<a name="28"><span class="lineNum">      28 </span>            : {                                                   \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LG_FREE_WORK ;                                  \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LAGraph_Free ((void **) &amp;Ap, NULL) ;            \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     LAGraph_Free ((void **) &amp;Aj, NULL) ;            \</a>
+<a name="32"><span class="lineNum">      32 </span>            :     LAGraph_Free ((void **) &amp;Ax, NULL) ;            \</a>
+<a name="33"><span class="lineNum">      33 </span>            : }</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="36"><span class="lineNum">      36 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // The output of LAGr_ConnectedComponents is a vector Component, where</a>
+<a name="39"><span class="lineNum">      39 </span>            : // Component(i)=s if node i is in the connected compononent whose</a>
+<a name="40"><span class="lineNum">      40 </span>            : // representative node is node s.  If s is a representative, then</a>
+<a name="41"><span class="lineNum">      41 </span>            : // Component(s)=s.  The number of connected components in the graph G is the</a>
+<a name="42"><span class="lineNum">      42 </span>            : // number of representatives.</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            : //------------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : // test the results from LAGr_ConnectedComponents</a>
+<a name="46"><span class="lineNum">      46 </span>            : //------------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : // Because this method does on GxB_unpack on G-&gt;A, it should not be used in a</a>
+<a name="49"><span class="lineNum">      49 </span>            : // brutal memory test, unless the caller is prepared to reconstruct G-&gt;A</a>
+<a name="50"><span class="lineNum">      50 </span>            : // when the brutal test causes this method to return early.</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         97 : int LG_check_cc</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : (</a>
+<a name="54"><span class="lineNum">      54 </span>            :     // input</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Vector Component,   // Component(i)=s if node is in Component s</a>
+<a name="56"><span class="lineNum">      56 </span>            :     LAGraph_Graph G,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     char *msg</a>
+<a name="58"><span class="lineNum">      58 </span>            : )</a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            :     // check inputs</a>
+<a name="63"><span class="lineNum">      63 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         97 :     double tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         97 :     GrB_Vector Row = NULL ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">         97 :     GrB_Index *Ap = NULL, *Aj = NULL, *neighbors = NULL ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">         97 :     void *Ax = NULL ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :     GrB_Index Ap_size, Aj_size, Ax_size, n, ncols ;</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         97 :     int64_t *queue = NULL, *component_in = NULL ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         97 :     bool *visited = NULL ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">         97 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">         97 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">         97 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">         97 :     LG_ASSERT (Component != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         97 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="79"><span class="lineNum">      79 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="80"><span class="lineNum">      80 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="81"><span class="lineNum">      81 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            :     // allocate workspace</a>
+<a name="85"><span class="lineNum">      85 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         97 :     LG_TRY (LAGraph_Calloc ((void **) &amp;queue, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            :     // get the contents of the Component vector</a>
+<a name="91"><span class="lineNum">      91 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         97 :     LG_TRY (LAGraph_Malloc ((void **) &amp;component_in, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         97 :     LG_TRY (LG_check_vector (component_in, Component, n, -1)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            :     // find the # of connected components, according to Component vector</a>
+<a name="98"><span class="lineNum">      98 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         97 :     int64_t *count = queue ;        // use queue as workspace</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         97 :     int64_t ncomp_in = 0 ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">      65165 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :     {</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">      65068 :         int64_t comp = component_in [i] ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">      65068 :         LG_ASSERT (comp &gt;= 0 &amp;&amp; comp &lt; n, -2000) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">      65068 :         count [comp]++ ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">      65068 :         if (comp == i)</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :         {</a>
+<a name="109"><span class="lineNum">     109 </span>            :             // this is the representative of its component</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">      27182 :             ncomp_in++ ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :         }</a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         97 :     printf (&quot;# of components: %g\n&quot;, (double) ncomp_in) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         97 :     if (n &lt; 1000)</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       1021 :         for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :         {</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        956 :             if (component_in [i] == i)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :             {</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        126 :                 printf (&quot;Component %g, size %g\n&quot;, (double) i,</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        126 :                     (double) count [i]) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :             }</a>
+<a name="124"><span class="lineNum">     124 </span>            :         }</a>
+<a name="125"><span class="lineNum">     125 </span>            :     }</a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            :     // unpack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="129"><span class="lineNum">     129 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="132"><span class="lineNum">     132 </span>            :     bool iso, jumbled ;</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         97 :     GRB_TRY (GxB_Matrix_unpack_CSR (G-&gt;A,</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :         &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_size, &amp;Aj_size, &amp;Ax_size, &amp;iso, &amp;jumbled, NULL)) ;</a>
+<a name="135"><span class="lineNum">     135 </span>            :     #endif</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="138"><span class="lineNum">     138 </span>            :     // find the connected components via repeated BFS</a>
+<a name="139"><span class="lineNum">     139 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         97 :     tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         97 :     printf (&quot;LG_check_cc init  time: %g sec\n&quot;, tt) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         97 :     tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         97 :     LG_TRY (LAGraph_Calloc ((void **) &amp;visited, n, sizeof (bool), msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :     #if !LAGRAPH_SUITESPARSE</a>
+<a name="148"><span class="lineNum">     148 </span>            :     GRB_TRY (GrB_Vector_new (&amp;Row, GrB_BOOL, n)) ;</a>
+<a name="149"><span class="lineNum">     149 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;neighbors, n, sizeof (GrB_Index), msg)) ;</a>
+<a name="150"><span class="lineNum">     150 </span>            :     #endif</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         97 :     int64_t ncomp = 0 ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">      65165 :     for (int64_t src = 0 ; src &lt; n ; src++)</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :     {</a>
+<a name="156"><span class="lineNum">     156 </span>            :         // skip this node if already visited</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">      65068 :         if (visited [src]) continue ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :         // src node is part of a new connected component, comp</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">      27182 :         int64_t comp = component_in [src] ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">      27182 :         ncomp++ ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">      27182 :         LG_ASSERT_MSG (ncomp &lt;= ncomp_in, -2001, &quot;wrong # of components&quot;) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">      27182 :         queue [0] = src ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">      27182 :         int64_t head = 0 ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">      27182 :         int64_t tail = 1 ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">      27182 :         visited [src] = true ;      // src is visited</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">      92250 :         while (head &lt; tail)</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :         {</a>
+<a name="171"><span class="lineNum">     171 </span>            :             // dequeue the node at the head of the queue</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">      65068 :             int64_t u = queue [head++] ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="175"><span class="lineNum">     175 </span>            :             // directly access the indices of entries in A(u,:)</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">      65068 :             GrB_Index degree = Ap [u+1] - Ap [u] ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">      65068 :             GrB_Index *node_u_adjacency_list = Aj + Ap [u] ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :             #else</a>
+<a name="179"><span class="lineNum">     179 </span>            :             // extract the indices of entries in A(u,:)</a>
+<a name="180"><span class="lineNum">     180 </span>            :             GrB_Index degree = n ;</a>
+<a name="181"><span class="lineNum">     181 </span>            :             GRB_TRY (GrB_Col_extract (Row, NULL, NULL, G-&gt;A, GrB_ALL, n, u,</a>
+<a name="182"><span class="lineNum">     182 </span>            :                 GrB_DESC_T0)) ;</a>
+<a name="183"><span class="lineNum">     183 </span>            :             GRB_TRY (GrB_Vector_extractTuples_BOOL (neighbors, NULL, &amp;degree,</a>
+<a name="184"><span class="lineNum">     184 </span>            :                 Row)) ;</a>
+<a name="185"><span class="lineNum">     185 </span>            :             GrB_Index *node_u_adjacency_list = neighbors ;</a>
+<a name="186"><span class="lineNum">     186 </span>            :             #endif</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :             // traverse all entries in A(u,:)</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">    1017016 :             for (int64_t k = 0 ; k &lt; degree ; k++)</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :             {</a>
+<a name="191"><span class="lineNum">     191 </span>            :                 // consider edge (u,v)</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">     951948 :                 int64_t v = node_u_adjacency_list [k] ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :                 // ensure v is in the same connected component as the src node</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">     951948 :                 LG_ASSERT (comp == component_in [u], -2002) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            :                 // printf (&quot;    seen: %ld\n&quot;, v) ;</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">     951948 :                 if (!visited [v])</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :                 {</a>
+<a name="198"><span class="lineNum">     198 </span>            :                     // node v is not yet visited; set its level and add to the</a>
+<a name="199"><span class="lineNum">     199 </span>            :                     // end of the queue</a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">      37886 :                     visited [v] = true ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">      37886 :                     queue [tail++] = v ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :                 }</a>
+<a name="203"><span class="lineNum">     203 </span>            :             }</a>
+<a name="204"><span class="lineNum">     204 </span>            :         }</a>
+<a name="205"><span class="lineNum">     205 </span>            :     }</a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         97 :     LG_ASSERT_MSG (ncomp == ncomp_in, -2001, &quot;wrong # of components&quot;) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span>            : </a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">         97 :     tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         97 :     printf (&quot;LG_check_cc component time: %g sec\n&quot;, tt) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         97 :     tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="214"><span class="lineNum">     214 </span>            :     // repack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="215"><span class="lineNum">     215 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         97 :     GRB_TRY (GxB_Matrix_pack_CSR (G-&gt;A,</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         &amp;Ap, &amp;Aj, &amp;Ax, Ap_size, Aj_size, Ax_size, iso, jumbled, NULL)) ;</a>
+<a name="220"><span class="lineNum">     220 </span>            :     #endif</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         97 :     LG_FREE_WORK ;</span></a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         97 :     tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         97 :     printf (&quot;LG_check_cc check time: %g sec\n&quot;, tt) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span>            : </a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         97 :     return (GrB_SUCCESS) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_export.c.func-sort-c.html b/src/test/LG_check_export.c.func-sort-c.html
new file mode 100644
index 0000000000..e6bf4de927
--- /dev/null
+++ b/src/test/LG_check_export.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_export.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_export.c<span style="font-size: 80%;"> (<a href="LG_check_export.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_export.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_export.c.gcov.html#29">LG_check_export</a></td>
+              <td class="coverFnHi">443</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_export.c.func.html b/src/test/LG_check_export.c.func.html
new file mode 100644
index 0000000000..e66de0f506
--- /dev/null
+++ b/src/test/LG_check_export.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_export.c - functions</title>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_export.c<span style="font-size: 80%;"> (<a href="LG_check_export.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_export.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_export.c.gcov.html#29">LG_check_export</a></td>
+              <td class="coverFnHi">443</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+</body>
+</html>
diff --git a/src/test/LG_check_export.c.gcov.html b/src/test/LG_check_export.c.gcov.html
new file mode 100644
index 0000000000..d974e526fe
--- /dev/null
+++ b/src/test/LG_check_export.c.gcov.html
@@ -0,0 +1,223 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_export.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_export.c<span style="font-size: 80%;"> (source / <a href="LG_check_export.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntry">59</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_export: export G-&gt;A for testing</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Export G-&gt;A in CSR format, for testing only.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // See test_export for a brutal memory test of this method.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL                             \</a>
+<a name="22"><span class="lineNum">      22 </span>            : {                                               \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Free ((void **) Ap_handle, NULL) ;  \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_Free ((void **) Aj_handle, NULL) ;  \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     LAGraph_Free ((void **) Ax_handle, NULL) ;  \</a>
+<a name="26"><span class="lineNum">      26 </span>            : }</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">        443 : int LG_check_export</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : (</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // input</a>
+<a name="34"><span class="lineNum">      34 </span>            :     LAGraph_Graph G,        // export G-&gt;A in CSR format</a>
+<a name="35"><span class="lineNum">      35 </span>            :     // output</a>
+<a name="36"><span class="lineNum">      36 </span>            :     GrB_Index **Ap_handle,  // size Ap_len on output</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_Index **Aj_handle,  // size Aj_len on output</a>
+<a name="38"><span class="lineNum">      38 </span>            :     void **Ax_handle,       // size Ax_len * typesize on output</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_Index *Ap_len,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_Index *Aj_len,</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_Index *Ax_len,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     size_t *typesize,       // size of the type of A</a>
+<a name="43"><span class="lineNum">      43 </span>            :     char *msg</a>
+<a name="44"><span class="lineNum">      44 </span>            : )</a>
+<a name="45"><span class="lineNum">      45 </span>            : {</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">        443 :     LG_CLEAR_MSG ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        443 :     GrB_Index *Ap = NULL, *Aj = NULL ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        443 :     void *Ax = NULL ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        443 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Ap_handle != NULL, GrB_NULL_POINTER, &quot;&amp;Ap is NULL&quot;) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Aj_handle != NULL, GrB_NULL_POINTER, &quot;&amp;Aj is NULL&quot;) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Ax_handle != NULL, GrB_NULL_POINTER, &quot;&amp;Ax is NULL&quot;) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Ap_len != NULL, GrB_NULL_POINTER, &quot;&amp;Ap_len is NULL&quot;) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Aj_len != NULL, GrB_NULL_POINTER, &quot;&amp;Aj_len is NULL&quot;) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (Ax_len != NULL, GrB_NULL_POINTER, &quot;&amp;Ax_len is NULL&quot;) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (typesize != NULL, GrB_NULL_POINTER, &quot;&amp;typesize is NULL&quot;) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            :     // get the type of G-&gt;A</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        443 :     GrB_Type atype = NULL ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        443 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        443 :     LG_TRY (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">        443 :     size_t s = 0 ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">        443 :     if      (atype == GrB_BOOL  ) s = sizeof (bool    ) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        293 :     else if (atype == GrB_INT8  ) s = sizeof (int8_t  ) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        283 :     else if (atype == GrB_INT16 ) s = sizeof (int16_t ) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        273 :     else if (atype == GrB_INT32 ) s = sizeof (int32_t ) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">        243 :     else if (atype == GrB_INT64 ) s = sizeof (int64_t ) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">        146 :     else if (atype == GrB_UINT8 ) s = sizeof (uint8_t ) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        136 :     else if (atype == GrB_UINT16) s = sizeof (uint16_t) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">        126 :     else if (atype == GrB_UINT32) s = sizeof (uint32_t) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        125 :     else if (atype == GrB_UINT64) s = sizeof (uint64_t) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        115 :     else if (atype == GrB_FP32  ) s = sizeof (float   ) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        105 :     else if (atype == GrB_FP64  ) s = sizeof (double  ) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">        443 :     LG_ASSERT_MSG (s != 0, GrB_NOT_IMPLEMENTED, &quot;unsupported type&quot;) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">        443 :     (*typesize) = s ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">        443 :     GRB_TRY (GrB_Matrix_exportSize (Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT,</span></a>
+<a name="82"><span class="lineNum">      82 </span>            :         G-&gt;A)) ;</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        443 :     LG_TRY (LAGraph_Malloc ((void **) Ap_handle, *Ap_len, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        394 :     LG_TRY (LAGraph_Malloc ((void **) Aj_handle, *Aj_len, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        345 :     LG_TRY (LAGraph_Malloc ((void **) Ax_handle, *Ax_len, s, msg)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        296 :     Ap = (*Ap_handle) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        296 :     Aj = (*Aj_handle) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        296 :     Ax = (*Ax_handle) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        296 :     if      (atype == GrB_BOOL  )</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         99 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (bool     *) Ax,</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="94"><span class="lineNum">      94 </span>            :     }</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        197 :     else if (atype == GrB_INT8  )</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     {</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (int8_t   *) Ax,</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="99"><span class="lineNum">      99 </span>            :     }</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        190 :     else if (atype == GrB_INT16 )</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (int16_t  *) Ax,</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        183 :     else if (atype == GrB_INT32 )</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :     {</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         21 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (int32_t  *) Ax,</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="109"><span class="lineNum">     109 </span>            :     }</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">        162 :     else if (atype == GrB_INT64 )</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :     {</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         67 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (int64_t  *) Ax,</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         95 :     else if (atype == GrB_UINT8 )</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (uint8_t  *) Ax,</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="119"><span class="lineNum">     119 </span>            :     }</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         88 :     else if (atype == GrB_UINT16)</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :     {</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (uint16_t *) Ax,</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="124"><span class="lineNum">     124 </span>            :     }</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         81 :     else if (atype == GrB_UINT32)</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :     {</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (uint32_t *) Ax,</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="129"><span class="lineNum">     129 </span>            :     }</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         80 :     else if (atype == GrB_UINT64)</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :     {</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (uint64_t *) Ax,</span></a>
+<a name="133"><span class="lineNum">     133 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="134"><span class="lineNum">     134 </span>            :     }</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         73 :     else if (atype == GrB_FP32  )</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :     {</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          7 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (float    *) Ax,</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="139"><span class="lineNum">     139 </span>            :     }</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         66 :     else if (atype == GrB_FP64  )</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     {</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         66 :         GRB_TRY (GrB_Matrix_export (Ap, Aj, (double   *) Ax,</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :             Ap_len, Aj_len, Ax_len, GrB_CSR_FORMAT, G-&gt;A)) ;</a>
+<a name="144"><span class="lineNum">     144 </span>            :     }</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        132 :     return (GrB_SUCCESS) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_sssp.c.func-sort-c.html b/src/test/LG_check_sssp.c.func-sort-c.html
new file mode 100644
index 0000000000..8f2fb5082e
--- /dev/null
+++ b/src/test/LG_check_sssp.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_sssp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_sssp.c<span style="font-size: 80%;"> (<a href="LG_check_sssp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_sssp.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_sssp.c.gcov.html#62">LG_check_sssp</a></td>
+              <td class="coverFnHi">483</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_sssp.c.func.html b/src/test/LG_check_sssp.c.func.html
new file mode 100644
index 0000000000..383615ad43
--- /dev/null
+++ b/src/test/LG_check_sssp.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_sssp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_sssp.c<span style="font-size: 80%;"> (<a href="LG_check_sssp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_sssp.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_sssp.c.gcov.html#62">LG_check_sssp</a></td>
+              <td class="coverFnHi">483</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_sssp.c.gcov.html b/src/test/LG_check_sssp.c.gcov.html
new file mode 100644
index 0000000000..c22f8409da
--- /dev/null
+++ b/src/test/LG_check_sssp.c.gcov.html
@@ -0,0 +1,460 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_sssp.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_sssp.c<span style="font-size: 80%;"> (source / <a href="LG_check_sssp.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/LG_check_sssp: stand-alone test for SSSP</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // All computations are done in double precision</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : typedef double LG_key_t ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : typedef struct</a>
+<a name="25"><span class="lineNum">      25 </span>            : {</a>
+<a name="26"><span class="lineNum">      26 </span>            :     int64_t name ;</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LG_key_t key ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : }</a>
+<a name="29"><span class="lineNum">      29 </span>            : LG_Element ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #include &quot;LG_heap.h&quot;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #undef  LG_FREE_WORK</a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_WORK                                    \</a>
+<a name="34"><span class="lineNum">      34 </span>            : {                                                       \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LAGraph_Free ((void **) &amp;Heap, NULL) ;              \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     LAGraph_Free ((void **) &amp;Iheap, NULL) ;             \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     LAGraph_Free ((void **) &amp;distance, NULL) ;          \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     LAGraph_Free ((void **) &amp;parent, NULL) ;            \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     LAGraph_Free ((void **) &amp;path_length_in, NULL) ;    \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     LAGraph_Free ((void **) &amp;reachable, NULL) ;         \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     LAGraph_Free ((void **) &amp;reachable_in, NULL) ;      \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     LAGraph_Free ((void **) &amp;neighbor_weights, NULL) ;  \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     LAGraph_Free ((void **) &amp;neighbors, NULL) ;         \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_free (&amp;Row) ;                                   \</a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : #undef  LG_FREE_ALL</a>
+<a name="48"><span class="lineNum">      48 </span>            : #define LG_FREE_ALL                                     \</a>
+<a name="49"><span class="lineNum">      49 </span>            : {                                                       \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     LG_FREE_WORK ;                                      \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     LAGraph_Free ((void **) &amp;Ap, NULL) ;                \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     LAGraph_Free ((void **) &amp;Aj, NULL) ;                \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     LAGraph_Free ((void **) &amp;Ax, NULL) ;                \</a>
+<a name="54"><span class="lineNum">      54 </span>            : }</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : // test the results from SSSP</a>
+<a name="58"><span class="lineNum">      58 </span>            : //------------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : // Because this method does on GxB_unpack on G-&gt;A, it should not be used in a</a>
+<a name="61"><span class="lineNum">      61 </span>            : // brutal memory test, unless the caller is prepared to reconstruct G-&gt;A</a>
+<a name="62"><span class="lineNum">      62 </span>            : // when the brutal test causes this method to return early.</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        483 : int LG_check_sssp</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : (</a>
+<a name="66"><span class="lineNum">      66 </span>            :     // input</a>
+<a name="67"><span class="lineNum">      67 </span>            :     GrB_Vector Path_Length,     // Path_Length(i) is the length of the</a>
+<a name="68"><span class="lineNum">      68 </span>            :                                 // shortest path from src to node i.</a>
+<a name="69"><span class="lineNum">      69 </span>            :     LAGraph_Graph G,            // all edge weights must be &gt; 0</a>
+<a name="70"><span class="lineNum">      70 </span>            :     GrB_Index src,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     char *msg</a>
+<a name="72"><span class="lineNum">      72 </span>            : )</a>
+<a name="73"><span class="lineNum">      73 </span>            : {</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="76"><span class="lineNum">      76 </span>            :     // check inputs</a>
+<a name="77"><span class="lineNum">      77 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">        483 :     GrB_Vector Row = NULL ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">        483 :     GrB_Index *Ap = NULL, *Aj = NULL, *neighbors = NULL ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            :     GrB_Index Ap_size, Aj_size, Ax_size, n, ncols ;</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">        483 :     int64_t *queue = NULL, *Iheap = NULL, *parent = NULL ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        483 :     LG_Element *Heap = NULL ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        483 :     double *path_length_in = NULL, *distance = NULL, *neighbor_weights = NULL ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        483 :     void *Ax = NULL ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        483 :     bool *reachable = NULL, *reachable_in = NULL ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        483 :     double tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        483 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        483 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     GrB_Type etype ;</a>
+<a name="94"><span class="lineNum">      94 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_TypeFromName (&amp;etype, atype_name, msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">        483 :     int etypecode = 0 ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        483 :     size_t etypesize = 0 ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        483 :     double etypeinf = INFINITY ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        483 :     if (etype == GrB_INT32)</span></a>
+<a name="102"><span class="lineNum">     102 </span>            :     {</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        257 :         etypecode = 0 ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        257 :         etypesize = sizeof (int32_t) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        257 :         etypeinf  = (double) INT32_MAX ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :     }</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        226 :     else if (etype == GrB_INT64)</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :     {</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         48 :         etypecode = 1 ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         48 :         etypesize = sizeof (int64_t) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         48 :         etypeinf  = (double) INT64_MAX ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">        178 :     else if (etype == GrB_UINT32)</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         12 :         etypecode = 2 ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         12 :         etypesize = sizeof (uint32_t) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         12 :         etypeinf  = (double) UINT32_MAX ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     }</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        166 :     else if (etype == GrB_UINT64)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :     {</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         12 :         etypecode = 3 ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         12 :         etypesize = sizeof (uint64_t) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         12 :         etypeinf  = (double) UINT64_MAX ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :     }</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">        154 :     else if (etype == GrB_FP32)</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :     {</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          9 :         etypecode = 4 ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          9 :         etypesize = sizeof (float) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          9 :         etypeinf  = INFINITY ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :     }</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">        145 :     else if (etype == GrB_FP64)</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :     {</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">        145 :         etypecode = 5 ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">        145 :         etypesize = sizeof (double) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">        145 :         etypeinf  = INFINITY ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :     }</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">        483 :     LG_ASSERT_MSG (etypesize &gt; 0, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        483 :     bool print_timings = (n &gt;= 2000) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="143"><span class="lineNum">     143 </span>            :     // get the contents of the Path_Length vector</a>
+<a name="144"><span class="lineNum">     144 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;path_length_in, n, sizeof (double),</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :         msg)) ;</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;reachable_in, n, sizeof (double), msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">      62662 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     {</a>
+<a name="151"><span class="lineNum">     151 </span>            :         double t ;</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">      62179 :         path_length_in [i] = INFINITY ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">      62179 :         int info = GrB_Vector_extractElement_FP64 (&amp;t, Path_Length, i) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">      62179 :         if (info == GrB_SUCCESS)</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :         {</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">      62179 :             path_length_in [i] = t ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :         }</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">      62179 :         reachable_in [i] = (path_length_in [i] &lt; etypeinf) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            :     }</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="162"><span class="lineNum">     162 </span>            :     // unpack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="163"><span class="lineNum">     163 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">        483 :     bool iso = false ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="167"><span class="lineNum">     167 </span>            :     bool jumbled ;</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">        483 :     GRB_TRY (GxB_Matrix_unpack_CSR (G-&gt;A,</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :         &amp;Ap, &amp;Aj, (void **) &amp;Ax, &amp;Ap_size, &amp;Aj_size, &amp;Ax_size, &amp;iso, &amp;jumbled,</a>
+<a name="170"><span class="lineNum">     170 </span>            :         NULL)) ;</a>
+<a name="171"><span class="lineNum">     171 </span>            :     #endif</a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="174"><span class="lineNum">     174 </span>            :     // compute the SSSP of the graph, via Dijskstra's algorithm</a>
+<a name="175"><span class="lineNum">     175 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">        483 :     if (print_timings)</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :     {</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         20 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         20 :         printf (&quot;LG_check_sssp init  time: %g sec\n&quot;, tt) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         20 :         tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            :     }</a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            :     // initializations</a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;distance, n, sizeof (double), msg)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;reachable, n, sizeof (bool), msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">      62662 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     {</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">      62179 :         distance [i] = INFINITY ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">      62179 :         reachable [i] = false ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :     }</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        483 :     distance [src] = 0 ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        483 :     reachable [src] = true ;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span>            :     #if !LAGRAPH_SUITESPARSE</a>
+<a name="196"><span class="lineNum">     196 </span>            :     GRB_TRY (GrB_Vector_new (&amp;Row, GrB_FP64, n)) ;</a>
+<a name="197"><span class="lineNum">     197 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;neighbors, n, sizeof (GrB_Index), msg)) ;</a>
+<a name="198"><span class="lineNum">     198 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;neighbor_weights, n, sizeof (double), msg)) ;</a>
+<a name="199"><span class="lineNum">     199 </span>            :     LG_ASSERT (neighbors != NULL, GrB_OUT_OF_MEMORY) ;</a>
+<a name="200"><span class="lineNum">     200 </span>            :     LG_ASSERT (neighbor_weights != NULL, GrB_OUT_OF_MEMORY) ;</a>
+<a name="201"><span class="lineNum">     201 </span>            :     #endif</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            :     // place all nodes in the heap (already in heap order)</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;Heap, (n+1), sizeof (LG_Element), msg)) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">        483 :     LG_TRY (LAGraph_Malloc ((void **) &amp;Iheap, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">        483 :     LG_ASSERT (Heap != NULL &amp;&amp; Iheap != NULL, GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">        483 :     Heap [1].key = 0 ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        483 :     Heap [1].name = src ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        483 :     Iheap [src] = 1 ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">        483 :     int64_t p = 2 ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">      62662 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :     {</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">      62179 :         if (i != src)</span></a>
+<a name="214"><span class="lineNum">     214 </span>            :         {</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">      61696 :             Heap [p].key = INFINITY ;</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">      61696 :             Heap [p].name = i ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">      61696 :             Iheap [i] = p ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">      61696 :             p++ ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         }</a>
+<a name="220"><span class="lineNum">     220 </span>            :     }</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">        483 :     int64_t nheap = n ;</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">        483 :     LG_ASSERT_MSG (LG_heap_check (Heap, Iheap, n, nheap) == 0, -2000,</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :         &quot;invalid heap&quot;) ;</a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">      44388 :     while (nheap &gt; 0)</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :     {</a>
+<a name="227"><span class="lineNum">     227 </span>            :         // extract the min element u from the top of the heap</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">      44092 :         LG_Element e = Heap [1] ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">      44092 :         int64_t u = e.name ;</span></a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">      44092 :         double u_distance = e.key ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :         ASSERT (distance [u] == u_distance) ;</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">      44092 :         LG_heap_delete (1, Heap, Iheap, n, &amp;nheap) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            :         ASSERT (Iheap [u] == 0) ;</a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">      44092 :         reachable [u] = (u_distance &lt; etypeinf) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">      44092 :         if (n &lt; 200)</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :         {</a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">       4946 :             LG_ASSERT_MSG (LG_heap_check (Heap, Iheap, n, nheap) == 0, -2000,</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :                 &quot;invalid heap&quot;) ;</a>
+<a name="241"><span class="lineNum">     241 </span>            :         }</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">      44092 :         if (u_distance == INFINITY)</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :         {</a>
+<a name="245"><span class="lineNum">     245 </span>            :             // node u is not reachable, so no other nodes in the queue</a>
+<a name="246"><span class="lineNum">     246 </span>            :             // are reachable either.  All work is done.</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        187 :             break ;</span></a>
+<a name="248"><span class="lineNum">     248 </span>            :         }</a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="251"><span class="lineNum">     251 </span>            :         // directly access the indices of entries in A(u,:)</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">      43905 :         GrB_Index degree = Ap [u+1] - Ap [u] ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">      43905 :         GrB_Index *node_u_adjacency_list = Aj + Ap [u] ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">      43905 :         void *weights = ((char *) Ax) + ((iso ? 0 : Ap [u]) * etypesize) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :         #else</a>
+<a name="256"><span class="lineNum">     256 </span>            :         // extract the indices of entries in A(u,:)</a>
+<a name="257"><span class="lineNum">     257 </span>            :         GrB_Index degree = n ;</a>
+<a name="258"><span class="lineNum">     258 </span>            :         GRB_TRY (GrB_Col_extract (Row, NULL, NULL, G-&gt;A, GrB_ALL, n, u,</a>
+<a name="259"><span class="lineNum">     259 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="260"><span class="lineNum">     260 </span>            :         GRB_TRY (GrB_Vector_extractTuples_FP64 (neighbors, neighbor_weights,</a>
+<a name="261"><span class="lineNum">     261 </span>            :             &amp;degree, Row)) ;</a>
+<a name="262"><span class="lineNum">     262 </span>            :         GrB_Index *node_u_adjacency_list = neighbors ;</a>
+<a name="263"><span class="lineNum">     263 </span>            :         double *weights = neighbor_weights ;</a>
+<a name="264"><span class="lineNum">     264 </span>            :         #endif</a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span>            :         // traverse all entries in A(u,:)</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">     614795 :         for (int64_t k = 0 ; k &lt; degree ; k++)</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :         {</a>
+<a name="269"><span class="lineNum">     269 </span>            :             // consider edge (u,v) and its weight w</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">     570890 :             int64_t v = node_u_adjacency_list [k] ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">     570890 :             if (Iheap [v] == 0) continue ;  // node v already in SSSP tree</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :             double w ;</a>
+<a name="273"><span class="lineNum">     273 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">     269114 :             switch (etypecode)</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :             {</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">     134179 :                 default:</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">     134179 :                 case 0: w = (( int32_t *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">        312 :                 case 1: w = (( int64_t *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">         51 :                 case 2: w = ((uint32_t *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">         51 :                 case 3: w = ((uint64_t *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">         90 :                 case 4: w = (( float   *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">     134431 :                 case 5: w = (( double  *) weights) [iso ? 0 : k] ; break ;</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :             }</a>
+<a name="284"><span class="lineNum">     284 </span>            :             #else</a>
+<a name="285"><span class="lineNum">     285 </span>            :             w = weights [iso ? 0 : k] ;</a>
+<a name="286"><span class="lineNum">     286 </span>            :             #endif</a>
+<a name="287"><span class="lineNum">     287 </span>            : </a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">     269114 :             LG_ASSERT_MSG (w &gt; 0, -2002, &quot;invalid graph (weights must be &gt; 0)&quot;);</span></a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">     269114 :             double new_distance = u_distance + w ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">     269114 :             if (distance [v] &gt; new_distance)</span></a>
+<a name="291"><span class="lineNum">     291 </span>            :             {</a>
+<a name="292"><span class="lineNum">     292 </span>            :                 // reduce the key of node v</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">      60199 :                 distance [v] = new_distance ;</span></a>
+<a name="294"><span class="lineNum">     294 </span>            :                 // parent [v] = u ;</a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">      60199 :                 int64_t p = Iheap [v] ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">      60199 :                 LG_ASSERT_MSG (Heap [p].name == v, -2000, &quot;invalid heap&quot;) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">      60199 :                 LG_heap_decrease_key (p, new_distance, Heap, Iheap, n, nheap) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span>            :             }</a>
+<a name="299"><span class="lineNum">     299 </span>            :         }</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">      43905 :         if (n &lt; 200)</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :         {</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">       4771 :             LG_ASSERT_MSG (LG_heap_check (Heap, Iheap, n, nheap) == 0, -2000,</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :                 &quot;invalid heap&quot;) ;</a>
+<a name="305"><span class="lineNum">     305 </span>            :         }</a>
+<a name="306"><span class="lineNum">     306 </span>            :     }</a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">        483 :     if (print_timings)</span></a>
+<a name="309"><span class="lineNum">     309 </span>            :     {</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         20 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         20 :         printf (&quot;LG_check_sssp time: %g sec\n&quot;, tt) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">         20 :         tt = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span>            :     }</a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="316"><span class="lineNum">     316 </span>            :     // repack the matrix in CSR form for SuiteSparse:GraphBLAS</a>
+<a name="317"><span class="lineNum">     317 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">        483 :     GRB_TRY (GxB_Matrix_pack_CSR (G-&gt;A,</span></a>
+<a name="321"><span class="lineNum">     321 </span>            :         &amp;Ap, &amp;Aj, (void **) &amp;Ax, Ap_size, Aj_size, Ax_size, iso, jumbled,</a>
+<a name="322"><span class="lineNum">     322 </span>            :         NULL)) ;</a>
+<a name="323"><span class="lineNum">     323 </span>            :     #endif</a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="326"><span class="lineNum">     326 </span>            :     // check the distance of each node</a>
+<a name="327"><span class="lineNum">     327 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">      62662 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="330"><span class="lineNum">     330 </span>            :     {</a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">      62179 :         bool ok = true ;</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">      62179 :         double err = 0 ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">      62179 :         if (isinf (distance [i]))</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :         {</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">      18274 :             ok = (path_length_in [i] == etypeinf || isinf (path_length_in [i]));</span></a>
+<a name="336"><span class="lineNum">     336 </span>            :         }</a>
+<a name="337"><span class="lineNum">     337 </span>            :         else</a>
+<a name="338"><span class="lineNum">     338 </span>            :         {</a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">      43905 :             err = fabs (path_length_in [i] - distance [i]) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">      43905 :             double d = LAGRAPH_MAX (path_length_in [i], distance [i]) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">      43905 :             if (err &gt; 0) err = err / d ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">      43905 :             ok = (err &lt; 1e-5) ;</span></a>
+<a name="343"><span class="lineNum">     343 </span>            :         }</a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">      62179 :         LG_ASSERT_MSG (ok, -2001, &quot;invalid path length&quot;) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span>            :     }</a>
+<a name="346"><span class="lineNum">     346 </span>            : </a>
+<a name="347"><span class="lineNum">     347 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="348"><span class="lineNum">     348 </span>            :     // check the reach</a>
+<a name="349"><span class="lineNum">     349 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="350"><span class="lineNum">     350 </span>            : </a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">      62662 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="352"><span class="lineNum">     352 </span>            :     {</a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">      62179 :         bool ok = (reachable [i] == reachable_in [i]) ;</span></a>
+<a name="354"><span class="lineNum">     354 </span>            :         #if 0</a>
+<a name="355"><span class="lineNum">     355 </span>            :         printf (&quot;reach [%ld]: %d %d\n&quot;, i, reachable [i], reachable_in [i]) ;</a>
+<a name="356"><span class="lineNum">     356 </span>            :         if (!ok)</a>
+<a name="357"><span class="lineNum">     357 </span>            :         {</a>
+<a name="358"><span class="lineNum">     358 </span>            :             printf (&quot;Hey! source %ld\n&quot;, src) ;</a>
+<a name="359"><span class="lineNum">     359 </span>            :             GxB_print (G-&gt;A, 3) ;</a>
+<a name="360"><span class="lineNum">     360 </span>            :             GxB_print (Path_Length, 3) ;</a>
+<a name="361"><span class="lineNum">     361 </span>            :             for (int64_t i = 0 ; i &lt; n ; i++)</a>
+<a name="362"><span class="lineNum">     362 </span>            :             {</a>
+<a name="363"><span class="lineNum">     363 </span>            :                 printf (&quot;check [%ld]: reach %d %d distance %g\n&quot;, i,</a>
+<a name="364"><span class="lineNum">     364 </span>            :                     reachable [i], reachable_in [i], distance [i]) ;</a>
+<a name="365"><span class="lineNum">     365 </span>            :             }</a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span>            :         }</a>
+<a name="368"><span class="lineNum">     368 </span>            :         #endif</a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">      62179 :         LG_ASSERT_MSG (ok, -2001, &quot;invalid reach&quot;) ;</span></a>
+<a name="370"><span class="lineNum">     370 </span>            :     }</a>
+<a name="371"><span class="lineNum">     371 </span>            : </a>
+<a name="372"><span class="lineNum">     372 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="373"><span class="lineNum">     373 </span>            :     // free workspace and return result</a>
+<a name="374"><span class="lineNum">     374 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="375"><span class="lineNum">     375 </span>            : </a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">        483 :     LG_FREE_WORK ;</span></a>
+<a name="377"><span class="lineNum">     377 </span>            : </a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">        483 :     if (print_timings)</span></a>
+<a name="379"><span class="lineNum">     379 </span>            :     {</a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">         20 :         tt = LAGraph_WallClockTime ( ) - tt ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">         20 :         printf (&quot;LG_check_sssp check time: %g sec\n&quot;, tt) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span>            :     }</a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">        483 :     return (GrB_SUCCESS) ;</span></a>
+<a name="384"><span class="lineNum">     384 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_tri.c.func-sort-c.html b/src/test/LG_check_tri.c.func-sort-c.html
new file mode 100644
index 0000000000..1acfb1cc16
--- /dev/null
+++ b/src/test/LG_check_tri.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_tri.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_tri.c<span style="font-size: 80%;"> (<a href="LG_check_tri.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_tri.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_tri.c.gcov.html#40">LG_check_tri</a></td>
+              <td class="coverFnHi">143</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_tri.c.func.html b/src/test/LG_check_tri.c.func.html
new file mode 100644
index 0000000000..85a4135b61
--- /dev/null
+++ b/src/test/LG_check_tri.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_tri.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_tri.c<span style="font-size: 80%;"> (<a href="LG_check_tri.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_tri.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_tri.c.gcov.html#40">LG_check_tri</a></td>
+              <td class="coverFnHi">143</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_tri.c.gcov.html b/src/test/LG_check_tri.c.gcov.html
new file mode 100644
index 0000000000..1d752de028
--- /dev/null
+++ b/src/test/LG_check_tri.c.gcov.html
@@ -0,0 +1,215 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_tri.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_tri.c<span style="font-size: 80%;"> (source / <a href="LG_check_tri.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntry">35</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_check_tri: compute the number of triangles in a graph (simple method)</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A very slow, bare-bones triangle count using a parallel dot-product method.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // Computes the sum(sum((A'*A).*A)), in MATLAB notation, where A is symmetric</a>
+<a name="20"><span class="lineNum">      20 </span>            : // and treated as binary (only the structure is used).  Diagonal entries are</a>
+<a name="21"><span class="lineNum">      21 </span>            : // ignored.  In GraphBLAS notation, C{A} = A'*A followed by reduce(C) to scalar.</a>
+<a name="22"><span class="lineNum">      22 </span>            : // This method is for testing only, to check the result of other, faster</a>
+<a name="23"><span class="lineNum">      23 </span>            : // methods.  Do not benchmark this method; it is slow and simple by design.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_FREE_ALL                         \</a>
+<a name="26"><span class="lineNum">      26 </span>            : {                                           \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LAGraph_Free ((void **) &amp;Ap, NULL) ;    \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Free ((void **) &amp;Aj, NULL) ;    \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LAGraph_Free ((void **) &amp;Ax, NULL) ;    \</a>
+<a name="30"><span class="lineNum">      30 </span>            : }</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="33"><span class="lineNum">      33 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : //------------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            : // LG_check_tri</a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // Since this method does not modify G-&gt;A, it can be tested with LG_BRUTAL.</a>
+<a name="40"><span class="lineNum">      40 </span>            : // See test_TriangleCount for a brutal memory test of this method.</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        143 : int LG_check_tri        // -1 if out of memory, 0 if successful</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : (</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // output</a>
+<a name="45"><span class="lineNum">      45 </span>            :     uint64_t *ntri,     // # of triangles in A</a>
+<a name="46"><span class="lineNum">      46 </span>            :     // input</a>
+<a name="47"><span class="lineNum">      47 </span>            :     LAGraph_Graph G,    // the structure of G-&gt;A must be symmetric</a>
+<a name="48"><span class="lineNum">      48 </span>            :     char *msg</a>
+<a name="49"><span class="lineNum">      49 </span>            : )</a>
+<a name="50"><span class="lineNum">      50 </span>            : {</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // check inputs</a>
+<a name="54"><span class="lineNum">      54 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        143 :     LG_CLEAR_MSG ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        143 :     GrB_Index *Ap = NULL, *Aj = NULL, *Ai = NULL ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        143 :     void *Ax = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :     GrB_Index Ap_size, Aj_size, Ax_size, n, ncols, Ap_len, Aj_len, Ax_len ;</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        143 :     LG_ASSERT (ntri != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        143 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        143 :     LG_ASSERT (G-&gt;nself_edges == 0, LAGRAPH_NO_SELF_EDGES_ALLOWED) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        143 :     LG_ASSERT_MSG ((G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="65"><span class="lineNum">      65 </span>            :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</a>
+<a name="66"><span class="lineNum">      66 </span>            :         G-&gt;is_symmetric_structure == LAGraph_TRUE)),</a>
+<a name="67"><span class="lineNum">      67 </span>            :         LAGRAPH_SYMMETRIC_STRUCTURE_REQUIRED,</a>
+<a name="68"><span class="lineNum">      68 </span>            :         &quot;G-&gt;A must be known to be symmetric&quot;) ;</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        143 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        143 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // export the matrix in CSR form</a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :     size_t typesize ;</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        143 :     LG_TRY (LG_check_export (G, &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_len, &amp;Aj_len, &amp;Ax_len,</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :         &amp;typesize, msg)) ;</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // compute the # of triangles (each triangle counted 6 times)</a>
+<a name="82"><span class="lineNum">      82 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         37 :     int64_t ntriangles = 0 ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">         37 :     Ai = Aj ;       // pretend A is symmetric and in CSC format instead</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     // masked dot-product method</a>
+<a name="88"><span class="lineNum">      88 </span>            :     int64_t j;</a>
+<a name="89"><span class="lineNum">      89 </span>            :     #if !defined ( COVERAGE )</a>
+<a name="90"><span class="lineNum">      90 </span>            :     #pragma omp parallel for reduction(+:ntriangles) schedule(dynamic,1024)</a>
+<a name="91"><span class="lineNum">      91 </span>            :     #endif</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">      12987 :     for (j = 0 ; j &lt; n ; j++)</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     {</a>
+<a name="94"><span class="lineNum">      94 </span>            :         // for each entry in the lower triangular part of A</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">     367098 :         for (int64_t p = Ap [j] ; p &lt; Ap [j+1] ; p++)</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :         {</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">     354148 :             const int64_t i = Ai [p] ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">     354148 :             if (i &gt; j)</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :             {</a>
+<a name="100"><span class="lineNum">     100 </span>            :                 // ntriangles += A(:,i)' * A(:,j)</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">     177074 :                 int64_t p1 = Ap [i] ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">     177074 :                 int64_t p1_end = Ap [i+1] ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">     177074 :                 int64_t p2 = Ap [j] ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">     177074 :                 int64_t p2_end = Ap [j+1] ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">   11681606 :                 while (p1 &lt; p1_end &amp;&amp; p2 &lt; p2_end)</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :                 {</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">   11504532 :                     int64_t i1 = Ai [p1] ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">   11504532 :                     int64_t i2 = Ai [p2] ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">   11504532 :                     if (i1 &lt; i2)</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :                     {</a>
+<a name="111"><span class="lineNum">     111 </span>            :                         // A(i1,i) appears before A(i2,j)</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">    3055392 :                         p1++ ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :                     }</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">    8449140 :                     else if (i2 &lt; i1)</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :                     {</a>
+<a name="116"><span class="lineNum">     116 </span>            :                         // A(i2,j) appears before A(i1,i)</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">    4316361 :                         p2++ ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :                     }</a>
+<a name="119"><span class="lineNum">     119 </span>            :                     else // i1 == i2 == k</a>
+<a name="120"><span class="lineNum">     120 </span>            :                     {</a>
+<a name="121"><span class="lineNum">     121 </span>            :                         // A(k,i) and A(k,j) are the next entries to merge</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">    4132779 :                         ntriangles++ ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">    4132779 :                         p1++ ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">    4132779 :                         p2++ ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :                     }</a>
+<a name="126"><span class="lineNum">     126 </span>            :                 }</a>
+<a name="127"><span class="lineNum">     127 </span>            :             }</a>
+<a name="128"><span class="lineNum">     128 </span>            :         }</a>
+<a name="129"><span class="lineNum">     129 </span>            :     }</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         37 :     ntriangles = ntriangles / 3 ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            :     // free workspace and return result</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         37 :     LG_FREE_ALL ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         37 :     (*ntri) = ntriangles ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         37 :     return (GrB_SUCCESS) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_check_vector.c.func-sort-c.html b/src/test/LG_check_vector.c.func-sort-c.html
new file mode 100644
index 0000000000..5c6da6d8d1
--- /dev/null
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+
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+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_vector.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_vector.c<span style="font-size: 80%;"> (<a href="LG_check_vector.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_check_vector.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_check_vector.c.gcov.html#22">LG_check_vector</a></td>
+              <td class="coverFnHi">2219</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+</body>
+</html>
diff --git a/src/test/LG_check_vector.c.func.html b/src/test/LG_check_vector.c.func.html
new file mode 100644
index 0000000000..0b1438a8d3
--- /dev/null
+++ b/src/test/LG_check_vector.c.func.html
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+
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_vector.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_vector.c<span style="font-size: 80%;"> (<a href="LG_check_vector.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_check_vector.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
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+              <td class="coverFn"><a href="LG_check_vector.c.gcov.html#22">LG_check_vector</a></td>
+              <td class="coverFnHi">2219</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/src/test/LG_check_vector.c.gcov.html b/src/test/LG_check_vector.c.gcov.html
new file mode 100644
index 0000000000..8915dee59b
--- /dev/null
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_check_vector.c</title>
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+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_check_vector.c<span style="font-size: 80%;"> (source / <a href="LG_check_vector.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/LG_check_vector: extract contents of a vector, for testing</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This is slow, for testing only.</a>
+<a name="19"><span class="lineNum">      19 </span>            : // See src/test/test_vector for the brutal test.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_test.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span><span class="lineCov">       2219 : int LG_check_vector</span></a>
+<a name="25"><span class="lineNum">      25 </span>            : (</a>
+<a name="26"><span class="lineNum">      26 </span>            :     int64_t *x,         // x (0:n-1) = X (0:n-1), of type int64_t</a>
+<a name="27"><span class="lineNum">      27 </span>            :     GrB_Vector X,       // vector of size n</a>
+<a name="28"><span class="lineNum">      28 </span>            :     int64_t n,</a>
+<a name="29"><span class="lineNum">      29 </span>            :     int64_t missing     // value to assign to x(i) if X(i) is not present</a>
+<a name="30"><span class="lineNum">      30 </span>            : )</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">     458629 :     for (int64_t i = 0 ; i &lt; n ; i++)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :     {</a>
+<a name="35"><span class="lineNum">      35 </span>            :         int64_t t ;</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">     456419 :         int info = GrB_Vector_extractElement_INT64 (&amp;t, X, i) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">     456419 :         x [i] = missing ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">     456419 :         if (info == GrB_SUCCESS)</span></a>
+<a name="39"><span class="lineNum">      39 </span>            :         {</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">     433322 :             x [i] = t ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :         }</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">      23097 :         else if (info != GrB_NO_VALUE)</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :         {</a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          9 :             return (info) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span>            :         }</a>
+<a name="46"><span class="lineNum">      46 </span>            :     }</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">       2210 :     return (GrB_SUCCESS) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_heap.h.func-sort-c.html b/src/test/LG_heap.h.func-sort-c.html
new file mode 100644
index 0000000000..61fa34b52c
--- /dev/null
+++ b/src/test/LG_heap.h.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_heap.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_heap.h<span style="font-size: 80%;"> (<a href="LG_heap.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_heap.h.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#101">LG_heap_check</a></td>
+              <td class="coverFnHi">10200</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#47">LG_iheap_check</a></td>
+              <td class="coverFnHi">10200</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#350">LG_heap_delete</a></td>
+              <td class="coverFnHi">44092</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#165">LG_heapify</a></td>
+              <td class="coverFnHi">44092</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#388">LG_heap_decrease_key</a></td>
+              <td class="coverFnHi">60199</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_heap.h.func.html b/src/test/LG_heap.h.func.html
new file mode 100644
index 0000000000..4d0bc62a2b
--- /dev/null
+++ b/src/test/LG_heap.h.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_heap.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_heap.h<span style="font-size: 80%;"> (<a href="LG_heap.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_heap.h.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#101">LG_heap_check</a></td>
+              <td class="coverFnHi">10200</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#388">LG_heap_decrease_key</a></td>
+              <td class="coverFnHi">60199</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#350">LG_heap_delete</a></td>
+              <td class="coverFnHi">44092</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#165">LG_heapify</a></td>
+              <td class="coverFnHi">44092</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_heap.h.gcov.html#47">LG_iheap_check</a></td>
+              <td class="coverFnHi">10200</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/LG_heap.h.gcov.html b/src/test/LG_heap.h.gcov.html
new file mode 100644
index 0000000000..23c5ba8d56
--- /dev/null
+++ b/src/test/LG_heap.h.gcov.html
@@ -0,0 +1,505 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/LG_heap.h</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - LG_heap.h<span style="font-size: 80%;"> (source / <a href="LG_heap.h.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_heap: a Heap data structure and its operations</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // The Heap is an array of LG_Elements: Heap [1..nheap].  Each entry in the</a>
+<a name="19"><span class="lineNum">      19 </span>            : // Heap is a LG_Element, with a key and name.  LG_Element must be defined</a>
+<a name="20"><span class="lineNum">      20 </span>            : // by the including file.  For example:</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : /*</a>
+<a name="23"><span class="lineNum">      23 </span>            :     typedef int64_t LG_key_t ;</a>
+<a name="24"><span class="lineNum">      24 </span>            :     typedef struct</a>
+<a name="25"><span class="lineNum">      25 </span>            :     {</a>
+<a name="26"><span class="lineNum">      26 </span>            :         int64_t name ;</a>
+<a name="27"><span class="lineNum">      27 </span>            :         LG_key_t key ;</a>
+<a name="28"><span class="lineNum">      28 </span>            :     }</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LG_Element ;</a>
+<a name="30"><span class="lineNum">      30 </span>            :     #include &quot;LG_heap.h&quot;</a>
+<a name="31"><span class="lineNum">      31 </span>            : */</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #ifndef LG_HEAP_H</a>
+<a name="34"><span class="lineNum">      34 </span>            : #define LG_HEAP_H</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : #undef  LG_FREE_ALL</a>
+<a name="37"><span class="lineNum">      37 </span>            : #define LG_FREE_ALL ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // These methods assume the caller allocates all memory, so no brutal memory</a>
+<a name="40"><span class="lineNum">      40 </span>            : // test is needed.</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : //------------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            : // LG_iheap_check: make sure Iheap is correct</a>
+<a name="44"><span class="lineNum">      44 </span>            : //------------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : // Ensure that e == Heap [p] implies p == Iheap [e.name] for all entries</a>
+<a name="47"><span class="lineNum">      47 </span>            : // in the heap.  Also ensure that e.name is in the range 0:n-1.</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">      10200 : static inline int LG_iheap_check</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : (</a>
+<a name="51"><span class="lineNum">      51 </span>            :     // input:</a>
+<a name="52"><span class="lineNum">      52 </span>            :     const LG_Element *restrict Heap,    // Heap [1..nheap], not modified</a>
+<a name="53"><span class="lineNum">      53 </span>            :     const int64_t *restrict Iheap,      // Iheap [0..n-1], not modified</a>
+<a name="54"><span class="lineNum">      54 </span>            :     const int64_t n,                    // element names are in range 0:n-1</a>
+<a name="55"><span class="lineNum">      55 </span>            :     const int64_t nheap                 // the number of nodes in the Heap</a>
+<a name="56"><span class="lineNum">      56 </span>            : )</a>
+<a name="57"><span class="lineNum">      57 </span>            : {</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">      10200 :     char *msg = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">      10200 :     LG_ASSERT_MSG (Heap != NULL &amp;&amp; Iheap != NULL &amp;&amp; nheap &gt;= 0 &amp;&amp; n &gt;= 0, -2000,</span></a>
+<a name="61"><span class="lineNum">      61 </span>            :         &quot;Heap is invalid&quot;) ;</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            :     // check all entries in the heap</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">     225824 :     for (int64_t p = 1 ; p &lt;= nheap ; p++)</span></a>
+<a name="65"><span class="lineNum">      65 </span>            :     {</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">     215624 :         LG_Element e = Heap [p] ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">     215624 :         int64_t name = e.name ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">     215624 :         LG_ASSERT_MSG (name &gt;= 0 &amp;&amp; name &lt; n &amp;&amp; p == Iheap [name], -2000,</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :             &quot;Heap is invalid&quot;) ;</a>
+<a name="70"><span class="lineNum">      70 </span>            :     }</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     // check all objects</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">     383307 :     for (int64_t name = 0 ; name &lt; n ; name++)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">     373107 :         int64_t p = Iheap [name] ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">     373107 :         if (p &lt;= 0)</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :         {</a>
+<a name="78"><span class="lineNum">      78 </span>            :             // object with this name is not in the heap</a>
+<a name="79"><span class="lineNum">      79 </span>            :         }</a>
+<a name="80"><span class="lineNum">      80 </span>            :         else</a>
+<a name="81"><span class="lineNum">      81 </span>            :         {</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">     215624 :             LG_ASSERT_MSG (p &lt;= nheap, -2000, &quot;position of object is invalid&quot;) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :             // object with this name is in the heap at position p</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">     215624 :             LG_Element e = Heap [p] ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">     215624 :             LG_ASSERT_MSG (e.name == name, -2000, &quot;Heap is invalid&quot;) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         }</a>
+<a name="87"><span class="lineNum">      87 </span>            :     }</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :     // Heap and Iheap are consistent</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">      10200 :     return (GrB_SUCCESS) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            : //------------------------------------------------------------------------------</a>
+<a name="94"><span class="lineNum">      94 </span>            : // LG_heap_check: make sure the min-heap property holds for the whole Heap</a>
+<a name="95"><span class="lineNum">      95 </span>            : //------------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : // Check the entire Heap to see if it has the min-heap property:  for all nodes</a>
+<a name="98"><span class="lineNum">      98 </span>            : // in the Heap, the key of a node must less than or equal to the keys of its</a>
+<a name="99"><span class="lineNum">      99 </span>            : // children  (duplicate keys may appear).  An empty Heap or a Heap of size 1</a>
+<a name="100"><span class="lineNum">     100 </span>            : // always satisfies the min-heap property, but nheap &lt; 0 is invalid.  This</a>
+<a name="101"><span class="lineNum">     101 </span>            : // function is for assertions only.</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">      10200 : static inline int LG_heap_check</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : (</a>
+<a name="105"><span class="lineNum">     105 </span>            :     // input:</a>
+<a name="106"><span class="lineNum">     106 </span>            :     const LG_Element *restrict Heap,    // Heap [1..nheap], not modified</a>
+<a name="107"><span class="lineNum">     107 </span>            :     const int64_t *restrict Iheap,      // Iheap [0..n-1], not modified</a>
+<a name="108"><span class="lineNum">     108 </span>            :     const int64_t n,                    // element names are in range 0:n-1</a>
+<a name="109"><span class="lineNum">     109 </span>            :     const int64_t nheap                 // the number of nodes in the Heap</a>
+<a name="110"><span class="lineNum">     110 </span>            : )</a>
+<a name="111"><span class="lineNum">     111 </span>            : {</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">      10200 :     char *msg = NULL ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">      10200 :     LG_ASSERT_MSG (Heap != NULL &amp;&amp; Iheap != NULL &amp;&amp; nheap &gt;= 0 &amp;&amp; n &gt;= 0, -2000,</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :         &quot;Heap is invalid&quot;) ;</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            : #if 0</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // dump the heap</a>
+<a name="119"><span class="lineNum">     119 </span>            :     for (int64_t p = 1 ; p &lt;= nheap ; p++)</a>
+<a name="120"><span class="lineNum">     120 </span>            :     {</a>
+<a name="121"><span class="lineNum">     121 </span>            :         printf (&quot;Heap [%ld]: key %ld name: %ld\n&quot;, p, Heap [p].key,</a>
+<a name="122"><span class="lineNum">     122 </span>            :             Heap [p].name) ;</a>
+<a name="123"><span class="lineNum">     123 </span>            :         int64_t pleft  = 2*p ;          // left child of node p</a>
+<a name="124"><span class="lineNum">     124 </span>            :         int64_t pright = pleft + 1 ;    // right child of node p</a>
+<a name="125"><span class="lineNum">     125 </span>            :         if (pleft &lt;= nheap)</a>
+<a name="126"><span class="lineNum">     126 </span>            :         {</a>
+<a name="127"><span class="lineNum">     127 </span>            :             printf (&quot;     left  child: %ld (key %ld, name %ld)\n&quot;,</a>
+<a name="128"><span class="lineNum">     128 </span>            :                 pleft, Heap [pleft].key, Heap [pleft].name) ;</a>
+<a name="129"><span class="lineNum">     129 </span>            :         }</a>
+<a name="130"><span class="lineNum">     130 </span>            :         if (pright &lt;= nheap)</a>
+<a name="131"><span class="lineNum">     131 </span>            :         {</a>
+<a name="132"><span class="lineNum">     132 </span>            :             printf (&quot;     right child: %ld (key %ld, name %ld)\n&quot;,</a>
+<a name="133"><span class="lineNum">     133 </span>            :                 pright, Heap [pright].key, Heap [pright].name) ;</a>
+<a name="134"><span class="lineNum">     134 </span>            :         }</a>
+<a name="135"><span class="lineNum">     135 </span>            :         printf (&quot;\n&quot;) ;</a>
+<a name="136"><span class="lineNum">     136 </span>            :     }</a>
+<a name="137"><span class="lineNum">     137 </span>            : #endif</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     // nodes nheap/2 ... nheap have no children, so no need to check them</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">     115535 :     for (int64_t p = 1 ; p &lt;= nheap / 2 ; p++)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     {</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         // consider node p.  Its key must be &lt;= the key of both its children.</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">     105335 :         int64_t pleft  = 2*p ;          // left child of node p</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">     105335 :         int64_t pright = pleft + 1 ;    // right child of node p</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">     105335 :         LG_ASSERT_MSG (! (pleft &lt;= nheap &amp;&amp; Heap [p].key &gt; Heap [pleft].key),</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :             -2000, &quot;the min-heap property is not satisfied&quot;) ;</a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">     105335 :         LG_ASSERT_MSG (! (pright &lt;= nheap &amp;&amp; Heap [p].key &gt; Heap [pright].key),</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :             -2000, &quot;the min-heap property is not satisfied&quot;) ;</a>
+<a name="153"><span class="lineNum">     153 </span>            :     }</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            :     // Heap satisfies the min-heap property; also check Iheap</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">      10200 :     return (LG_iheap_check (Heap, Iheap, n, nheap)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : }</a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            : //------------------------------------------------------------------------------</a>
+<a name="160"><span class="lineNum">     160 </span>            : // LG_heapify: enforce the min-heap property of a node</a>
+<a name="161"><span class="lineNum">     161 </span>            : //------------------------------------------------------------------------------</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            : // Heapify starting at node p in the Heap.  On input, the Heap rooted at node p</a>
+<a name="164"><span class="lineNum">     164 </span>            : // satisfies the min-heap property, except for Heap [p] itself.  On output, all</a>
+<a name="165"><span class="lineNum">     165 </span>            : // of the Heap rooted at node p satisfies the min-heap property.</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">      44092 : static inline void LG_heapify</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : (</a>
+<a name="169"><span class="lineNum">     169 </span>            :     int64_t p,                      // node that needs to be heapified</a>
+<a name="170"><span class="lineNum">     170 </span>            :     LG_Element *restrict Heap,      // Heap [1..nheap]</a>
+<a name="171"><span class="lineNum">     171 </span>            :     int64_t *restrict Iheap,        // Iheap [0..n-1]</a>
+<a name="172"><span class="lineNum">     172 </span>            :     const int64_t n,                // max element name</a>
+<a name="173"><span class="lineNum">     173 </span>            :     const int64_t nheap             // the number of nodes in the Heap</a>
+<a name="174"><span class="lineNum">     174 </span>            : )</a>
+<a name="175"><span class="lineNum">     175 </span>            : {</a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            :     // check inputs and check for quick return</a>
+<a name="179"><span class="lineNum">     179 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            :     ASSERT (Heap != NULL &amp;&amp; Iheap != NULL) ;</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">      44092 :     if (p &gt; nheap / 2 || nheap &lt;= 1)</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :     {</a>
+<a name="185"><span class="lineNum">     185 </span>            :         // nothing to do.  p has no children in the Heap.</a>
+<a name="186"><span class="lineNum">     186 </span>            :         // Also safely do nothing if p is outside the Heap (p &gt; nheap).</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        622 :         return ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     }</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            :     // get the element to heapify</a>
+<a name="192"><span class="lineNum">     192 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span>            :     // Get the element e at node p in the Heap; the one that needs heapifying.</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">      43470 :     LG_Element e = Heap [p] ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     // There is now a &quot;hole&quot; at Heap [p], with no element in it.</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            :     // heapify</a>
+<a name="201"><span class="lineNum">     201 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            :     while (true)</a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">     233225 :     {</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         //----------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // consider node p in the Heap</a>
+<a name="208"><span class="lineNum">     208 </span>            :         //----------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span>            :         // Heap [p] is the &quot;hole&quot; in the Heap</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">     276695 :         int64_t pleft  = 2*p ;          // left child of node p</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">     276695 :         int64_t pright = pleft + 1 ;    // right child of node p</span></a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">     276695 :         if (pright &lt;= nheap)</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         {</a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            :             //------------------------------------------------------------------</a>
+<a name="219"><span class="lineNum">     219 </span>            :             // both left and right children are in the Heap</a>
+<a name="220"><span class="lineNum">     220 </span>            :             //------------------------------------------------------------------</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">     267934 :             LG_Element eleft  = Heap [pleft] ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">     267934 :             LG_Element eright = Heap [pright] ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">     267934 :             if (eleft.key &lt; eright.key)</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :             {</a>
+<a name="226"><span class="lineNum">     226 </span>            :                 // left node has a smaller key than the right node</a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">     119095 :                 if (e.key &gt; eleft.key)</span></a>
+<a name="228"><span class="lineNum">     228 </span>            :                 {</a>
+<a name="229"><span class="lineNum">     229 </span>            :                     // key of element e is bigger than the left child of p, so</a>
+<a name="230"><span class="lineNum">     230 </span>            :                     // bubble up the left child into the hole at Heap [p] and</a>
+<a name="231"><span class="lineNum">     231 </span>            :                     // continue down the left child.  The hole moves to node</a>
+<a name="232"><span class="lineNum">     232 </span>            :                     // pleft.</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">     118616 :                     Heap [p] = eleft ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">     118616 :                     Iheap [eleft.name] = p ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">     118616 :                     p = pleft ;</span></a>
+<a name="236"><span class="lineNum">     236 </span>            :                 }</a>
+<a name="237"><span class="lineNum">     237 </span>            :                 else</a>
+<a name="238"><span class="lineNum">     238 </span>            :                 {</a>
+<a name="239"><span class="lineNum">     239 </span>            :                     // done!  key of element e is is smaller than the left</a>
+<a name="240"><span class="lineNum">     240 </span>            :                     // child of p; place e in the hole at p, and we're done.</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">        479 :                     Heap [p] = e ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">        479 :                     Iheap [e.name] = p ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">      34709 :                     return ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :                 }</a>
+<a name="245"><span class="lineNum">     245 </span>            :             }</a>
+<a name="246"><span class="lineNum">     246 </span>            :             else</a>
+<a name="247"><span class="lineNum">     247 </span>            :             {</a>
+<a name="248"><span class="lineNum">     248 </span>            :                 // right node has a smaller key than the left node</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">     148839 :                 if (e.key &gt; eright.key)</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :                 {</a>
+<a name="251"><span class="lineNum">     251 </span>            :                     // key of element e is bigger than the right child of p, so</a>
+<a name="252"><span class="lineNum">     252 </span>            :                     // bubble up the right child into hole at Heap [p] and</a>
+<a name="253"><span class="lineNum">     253 </span>            :                     // continue down the right child.  The hole moves to node</a>
+<a name="254"><span class="lineNum">     254 </span>            :                     // pright.</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">     114609 :                     Heap [p] = eright ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">     114609 :                     Iheap [eright.name] = p ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">     114609 :                     p = pright ;</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :                 }</a>
+<a name="259"><span class="lineNum">     259 </span>            :                 else</a>
+<a name="260"><span class="lineNum">     260 </span>            :                 {</a>
+<a name="261"><span class="lineNum">     261 </span>            :                     // done!  key of element e is is smaller than the right</a>
+<a name="262"><span class="lineNum">     262 </span>            :                     // child of p; place e in the hole at p, and we're done.</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">      34230 :                     Heap [p] = e ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">      34230 :                     Iheap [e.name] = p ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">      34230 :                     return ;</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :                 }</a>
+<a name="267"><span class="lineNum">     267 </span>            :             }</a>
+<a name="268"><span class="lineNum">     268 </span>            :         }</a>
+<a name="269"><span class="lineNum">     269 </span>            :         else</a>
+<a name="270"><span class="lineNum">     270 </span>            :         {</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span>            :             //------------------------------------------------------------------</a>
+<a name="273"><span class="lineNum">     273 </span>            :             // right child is not in the Heap, see if left child is in the Heap</a>
+<a name="274"><span class="lineNum">     274 </span>            :             //------------------------------------------------------------------</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">       8761 :             if (pleft &lt;= nheap)</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :             {</a>
+<a name="278"><span class="lineNum">     278 </span>            :                 // left child is in the Heap; check its key</a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">       1185 :                 LG_Element eleft = Heap [pleft] ;</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">       1185 :                 if (e.key &gt; eleft.key)</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :                 {</a>
+<a name="282"><span class="lineNum">     282 </span>            :                     // key of element e is bigger than the left child of p, so</a>
+<a name="283"><span class="lineNum">     283 </span>            :                     // bubble up the left child into the hole at Heap [p] and</a>
+<a name="284"><span class="lineNum">     284 </span>            :                     // continue down the left child.  The hole moves to node</a>
+<a name="285"><span class="lineNum">     285 </span>            :                     // pleft.</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">        289 :                     Heap [p] = eleft ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">        289 :                     Iheap [eleft.name] = p ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">        289 :                     p = pleft ;</span></a>
+<a name="289"><span class="lineNum">     289 </span>            :                 }</a>
+<a name="290"><span class="lineNum">     290 </span>            :             }</a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span>            :             //------------------------------------------------------------------</a>
+<a name="293"><span class="lineNum">     293 </span>            :             // node p is a hole, and it has no children</a>
+<a name="294"><span class="lineNum">     294 </span>            :             //------------------------------------------------------------------</a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span>            :             // put e in the hole, and we're done</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">       8761 :             Heap [p] = e ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">       8761 :             Iheap [e.name] = p ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">       8761 :             return ;</span></a>
+<a name="300"><span class="lineNum">     300 </span>            :         }</a>
+<a name="301"><span class="lineNum">     301 </span>            :     }</a>
+<a name="302"><span class="lineNum">     302 </span>            : }</a>
+<a name="303"><span class="lineNum">     303 </span>            : </a>
+<a name="304"><span class="lineNum">     304 </span>            : //------------------------------------------------------------------------------</a>
+<a name="305"><span class="lineNum">     305 </span>            : // LG_heap_build: construct a Heap</a>
+<a name="306"><span class="lineNum">     306 </span>            : //------------------------------------------------------------------------------</a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span>            : // On input, the Heap [1..nheap] may not satisfy the min-heap property, but</a>
+<a name="309"><span class="lineNum">     309 </span>            : // Iheap must already be initialized.</a>
+<a name="310"><span class="lineNum">     310 </span>            : // If e = Heap [p], then Iheap [e.name] = p must hold.</a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span>            : // On output, the elements have been rearranged so that it satisfies the</a>
+<a name="313"><span class="lineNum">     313 </span>            : // heap property.</a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            : static inline void LG_heap_build</a>
+<a name="316"><span class="lineNum">     316 </span>            : (</a>
+<a name="317"><span class="lineNum">     317 </span>            :     LG_Element *restrict Heap,      // Heap [1..nheap]</a>
+<a name="318"><span class="lineNum">     318 </span>            :     int64_t *restrict Iheap,        // Iheap [0..n-1]</a>
+<a name="319"><span class="lineNum">     319 </span>            :     const int64_t n,                // max element name</a>
+<a name="320"><span class="lineNum">     320 </span>            :     const int64_t nheap             // the number of nodes in the Heap</a>
+<a name="321"><span class="lineNum">     321 </span>            : )</a>
+<a name="322"><span class="lineNum">     322 </span>            : {</a>
+<a name="323"><span class="lineNum">     323 </span>            : </a>
+<a name="324"><span class="lineNum">     324 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="325"><span class="lineNum">     325 </span>            :     // check inputs</a>
+<a name="326"><span class="lineNum">     326 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span>            :     ASSERT (Heap != NULL &amp;&amp; nheap &gt;= 0) ;</a>
+<a name="329"><span class="lineNum">     329 </span>            :     ASSERT (LG_iheap_check (Heap, Iheap, n, nheap)) ;</a>
+<a name="330"><span class="lineNum">     330 </span>            : </a>
+<a name="331"><span class="lineNum">     331 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="332"><span class="lineNum">     332 </span>            :     // build the Heap</a>
+<a name="333"><span class="lineNum">     333 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="334"><span class="lineNum">     334 </span>            : </a>
+<a name="335"><span class="lineNum">     335 </span>            :     for (int64_t p = nheap / 2 ; p &gt;= 1 ; p--)</a>
+<a name="336"><span class="lineNum">     336 </span>            :     {</a>
+<a name="337"><span class="lineNum">     337 </span>            :         LG_heapify (p, Heap, Iheap, n, nheap) ;</a>
+<a name="338"><span class="lineNum">     338 </span>            :     }</a>
+<a name="339"><span class="lineNum">     339 </span>            : </a>
+<a name="340"><span class="lineNum">     340 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="341"><span class="lineNum">     341 </span>            :     // check result</a>
+<a name="342"><span class="lineNum">     342 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span>            :     // Heap [1..nheap] now satisfies the min-heap property</a>
+<a name="345"><span class="lineNum">     345 </span>            :     ASSERT (LG_heap_check (Heap, Iheap, n, nheap)) ;</a>
+<a name="346"><span class="lineNum">     346 </span>            : }</a>
+<a name="347"><span class="lineNum">     347 </span>            : </a>
+<a name="348"><span class="lineNum">     348 </span>            : //------------------------------------------------------------------------------</a>
+<a name="349"><span class="lineNum">     349 </span>            : // LG_heap_delete: delete an element in the middle of a Heap</a>
+<a name="350"><span class="lineNum">     350 </span>            : //------------------------------------------------------------------------------</a>
+<a name="351"><span class="lineNum">     351 </span>            : </a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">      44092 : static inline void LG_heap_delete</span></a>
+<a name="353"><span class="lineNum">     353 </span>            : (</a>
+<a name="354"><span class="lineNum">     354 </span>            :     int64_t p,                      // node that needs to be deleted</a>
+<a name="355"><span class="lineNum">     355 </span>            :     LG_Element *restrict Heap,      // Heap [1..nheap]</a>
+<a name="356"><span class="lineNum">     356 </span>            :     int64_t *restrict Iheap,        // Iheap [0..n-1]</a>
+<a name="357"><span class="lineNum">     357 </span>            :     const int64_t n,                // max element name</a>
+<a name="358"><span class="lineNum">     358 </span>            :     int64_t *restrict nheap         // the number of nodes in the Heap;</a>
+<a name="359"><span class="lineNum">     359 </span>            :                                     // decremented on output</a>
+<a name="360"><span class="lineNum">     360 </span>            : )</a>
+<a name="361"><span class="lineNum">     361 </span>            : {</a>
+<a name="362"><span class="lineNum">     362 </span>            : </a>
+<a name="363"><span class="lineNum">     363 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="364"><span class="lineNum">     364 </span>            :     // check inputs</a>
+<a name="365"><span class="lineNum">     365 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span>            :     ASSERT (Heap != NULL &amp;&amp; Iheap != NULL &amp;&amp; (*nheap) &gt;= 0) ;</a>
+<a name="368"><span class="lineNum">     368 </span>            :     ASSERT (p &gt;= 1 &amp;&amp; p &lt;= (*nheap)) ;</a>
+<a name="369"><span class="lineNum">     369 </span>            : </a>
+<a name="370"><span class="lineNum">     370 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="371"><span class="lineNum">     371 </span>            :     // delete node p from the Heap</a>
+<a name="372"><span class="lineNum">     372 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="373"><span class="lineNum">     373 </span>            : </a>
+<a name="374"><span class="lineNum">     374 </span>            :     // move the last node to node p and decrement the # of nodes in the Heap</a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">      44092 :     LG_Element elast = Heap [*nheap] ;  // last node in the heap</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">      44092 :     LG_Element edel  = Heap [p] ;       // element to delete from the heap</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">      44092 :     Heap [p] = elast ;              // move last node in the heap to position p</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">      44092 :     Iheap [elast.name] = p ;        // elast has been moved to position p</span></a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">      44092 :     Iheap [edel.name] = 0 ;         // edel is no longer in the heap</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">      44092 :     (*nheap)-- ;                    // one less entry in the heap</span></a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span>            :     // heapify node p (safely does nothing if node p was the one just deleted)</a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">      44092 :     LG_heapify (p, Heap, Iheap, n, (*nheap)) ;</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">      44092 : }</span></a>
+<a name="385"><span class="lineNum">     385 </span>            : </a>
+<a name="386"><span class="lineNum">     386 </span>            : //------------------------------------------------------------------------------</a>
+<a name="387"><span class="lineNum">     387 </span>            : // LG_heap_decrease_key: decrease the key of an entry in the heap</a>
+<a name="388"><span class="lineNum">     388 </span>            : //------------------------------------------------------------------------------</a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">      60199 : static inline void LG_heap_decrease_key</span></a>
+<a name="391"><span class="lineNum">     391 </span>            : (</a>
+<a name="392"><span class="lineNum">     392 </span>            :     int64_t p,                      // entry to modify in the heap</a>
+<a name="393"><span class="lineNum">     393 </span>            :     const LG_key_t new_key,         // new key value of Heap [p]</a>
+<a name="394"><span class="lineNum">     394 </span>            :     LG_Element *restrict Heap,      // Heap [1..nheap]</a>
+<a name="395"><span class="lineNum">     395 </span>            :     int64_t *restrict Iheap,        // Iheap [0..n-1]</a>
+<a name="396"><span class="lineNum">     396 </span>            :     const int64_t n,                // max element name</a>
+<a name="397"><span class="lineNum">     397 </span>            :     const int64_t nheap             // the number of nodes in the Heap</a>
+<a name="398"><span class="lineNum">     398 </span>            : )</a>
+<a name="399"><span class="lineNum">     399 </span>            : {</a>
+<a name="400"><span class="lineNum">     400 </span>            :     ASSERT (Heap != NULL &amp;&amp; Iheap != NULL) ;</a>
+<a name="401"><span class="lineNum">     401 </span>            :     ASSERT (p &gt;= 1 &amp;&amp; p &lt; nheap) ;</a>
+<a name="402"><span class="lineNum">     402 </span>            :     ASSERT (new_key &lt; Heap [p].key) ;</a>
+<a name="403"><span class="lineNum">     403 </span>            : </a>
+<a name="404"><span class="lineNum">     404 </span>            : //  printf (&quot;Decreasing Heap [%ld] = name: %ld key: from %ld to %ld\n&quot;,</a>
+<a name="405"><span class="lineNum">     405 </span>            : //      p, Heap [p].name, Heap [p].key, new_key) ;</a>
+<a name="406"><span class="lineNum">     406 </span>            : </a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">      60199 :     Heap [p].key = new_key ;</span></a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">      60199 :     int64_t parent = p/2 ;</span></a>
+<a name="409"><span class="lineNum">     409 </span>            : </a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">     187582 :     while (p &gt; 1 &amp;&amp; Heap [parent].key &gt; Heap [p].key)</span></a>
+<a name="411"><span class="lineNum">     411 </span>            :     {</a>
+<a name="412"><span class="lineNum">     412 </span>            :         // swap Heap [p] and Heap [parent]</a>
+<a name="413"><span class="lineNum">     413 </span>            : //      printf (&quot;swap positions %ld and %ld\n&quot;, p, parent) ;</a>
+<a name="414"><span class="lineNum">     414 </span>            : </a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">     127383 :         LG_Element e = Heap [p] ;</span></a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">     127383 :         Heap [p] = Heap [parent] ;</span></a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">     127383 :         Heap [parent] = e ;</span></a>
+<a name="418"><span class="lineNum">     418 </span>            : </a>
+<a name="419"><span class="lineNum">     419 </span>            :         // update the inverse heap</a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">     127383 :         Iheap [Heap [p].name] = p ;</span></a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">     127383 :         Iheap [Heap [parent].name] = parent ;</span></a>
+<a name="422"><span class="lineNum">     422 </span>            : </a>
+<a name="423"><span class="lineNum">     423 </span>            :         // advance up to the parent</a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">     127383 :         p = parent ;</span></a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">     127383 :         parent = p/2 ;</span></a>
+<a name="426"><span class="lineNum">     426 </span>            :     }</a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">      60199 : }</span></a>
+<a name="428"><span class="lineNum">     428 </span>            : </a>
+<a name="429"><span class="lineNum">     429 </span>            : #endif</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/index-sort-f.html b/src/test/index-sort-f.html
new file mode 100644
index 0000000000..b443eac14c
--- /dev/null
+++ b/src/test/index-sort-f.html
@@ -0,0 +1,543 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Malloc.c.gcov.html">test_Malloc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">46 / 46</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Init_errors.c.gcov.html">test_Init_errors.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">11 / 11</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_NumThreads.c.gcov.html">test_NumThreads.c</a></td>
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+    <tr>
+      <td class="coverFile"><a href="test_minmax.c.gcov.html">test_minmax.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
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+    <tr>
+      <td class="coverFile"><a href="test_IsEqual.c.gcov.html">test_IsEqual.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_MMRead.c.gcov.html">test_MMRead.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">287 / 287</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
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+    <tr>
+      <td class="coverFile"><a href="test_BreadthFirstSearch.c.gcov.html">test_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverNumHi">341 / 341</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
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+    <tr>
+      <td class="coverFile"><a href="test_TriangleCount.c.gcov.html">test_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">255 / 255</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
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+
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diff --git a/src/test/index-sort-l.html b/src/test/index-sort-l.html
new file mode 100644
index 0000000000..c70500c62a
--- /dev/null
+++ b/src/test/index-sort-l.html
@@ -0,0 +1,543 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
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+    <tr>
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+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="test_acutest.c.gcov.html">test_acutest.c</a></td>
+      <td class="coverBar" align="center">
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+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_brutal_setup.c.gcov.html">LG_brutal_setup.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">11 / 11</td>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="test_Multiply_size_t.c.gcov.html">test_Multiply_size_t.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverBar" align="center">
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+      <td class="coverNumHi">24 / 24</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
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+    <tr>
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+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverNumHi">25 / 25</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="test_NumThreads.c.gcov.html">test_NumThreads.c</a></td>
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+    <tr>
+      <td class="coverFile"><a href="LG_brutal_malloc.c.gcov.html">LG_brutal_malloc.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">29 / 29</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_check_tri.c.gcov.html">LG_check_tri.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">35 / 35</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_vector.c.gcov.html">test_vector.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Cached_NDiag.c.gcov.html">test_Cached_NDiag.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">45 / 45</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
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+    <tr>
+      <td class="coverFile"><a href="test_Malloc.c.gcov.html">test_Malloc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverNumHi">46 / 46</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_check_export.c.gcov.html">LG_check_export.c</a></td>
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+      <td class="coverNumHi">59 / 59</td>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_check_cc.c.gcov.html">LG_check_cc.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverNumHi">63 / 63</td>
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+    <tr>
+      <td class="coverFile"><a href="test_New.c.gcov.html">test_New.c</a></td>
+      <td class="coverBar" align="center">
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+    <tr>
+      <td class="coverFile"><a href="test_Betweenness.c.gcov.html">test_Betweenness.c</a></td>
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+    <tr>
+      <td class="coverFile"><a href="test_export.c.gcov.html">test_export.c</a></td>
+      <td class="coverBar" align="center">
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+    <tr>
+      <td class="coverFile"><a href="test_SampleDegree.c.gcov.html">test_SampleDegree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
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+      <td class="coverNumHi">81 / 81</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Cached_Degree.c.gcov.html">test_Cached_Degree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_DeleteCached.c.gcov.html">test_DeleteCached.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">82 / 82</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Vector_Structure.c.gcov.html">test_Vector_Structure.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">85 / 85</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Type.c.gcov.html">test_Type.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">94 / 94</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_PageRank.c.gcov.html">test_PageRank.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">97 / 97</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_ConnectedComponents.c.gcov.html">test_ConnectedComponents.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">115 / 115</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_DisplayGraph.c.gcov.html">test_DisplayGraph.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">132 / 132</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_minmax.c.gcov.html">test_minmax.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">135 / 135</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_sssp.c.gcov.html">LG_check_sssp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">135 / 135</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_CheckGraph.c.gcov.html">test_CheckGraph.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">136 / 136</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Sort.c.gcov.html">test_Sort.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">142 / 142</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Vector_Print.c.gcov.html">test_Vector_Print.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">142 / 142</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SortByDegree.c.gcov.html">test_SortByDegree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">190 / 190</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_IsEqual.c.gcov.html">test_IsEqual.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">210 / 210</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_SingleSourceShortestPath.c.gcov.html">test_SingleSourceShortestPath.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">225 / 225</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_TriangleCount.c.gcov.html">test_TriangleCount.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">255 / 255</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_MMRead.c.gcov.html">test_MMRead.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">287 / 287</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_BreadthFirstSearch.c.gcov.html">test_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">341 / 341</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/index.html b/src/test/index.html
new file mode 100644
index 0000000000..4101fb4e41
--- /dev/null
+++ b/src/test/index.html
@@ -0,0 +1,543 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/test</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntry">4109</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntry">162</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_brutal_malloc.c.gcov.html">LG_brutal_malloc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">29 / 29</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_brutal_setup.c.gcov.html">LG_brutal_setup.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_brutal_teardown.c.gcov.html">LG_brutal_teardown.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_bfs.c.gcov.html">LG_check_bfs.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">71 / 71</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_cc.c.gcov.html">LG_check_cc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">63 / 63</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_export.c.gcov.html">LG_check_export.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">59 / 59</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_sssp.c.gcov.html">LG_check_sssp.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">135 / 135</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_tri.c.gcov.html">LG_check_tri.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">35 / 35</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_check_vector.c.gcov.html">LG_check_vector.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">9 / 9</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_heap.h.gcov.html">LG_heap.h</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">78 / 78</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Betweenness.c.gcov.html">test_Betweenness.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">72 / 72</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_BreadthFirstSearch.c.gcov.html">test_BreadthFirstSearch.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">341 / 341</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="test_Cached_AT.c.gcov.html">test_Cached_AT.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">76 / 76</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
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diff --git a/src/test/test_Betweenness.c.func-sort-c.html b/src/test/test_Betweenness.c.func-sort-c.html
new file mode 100644
index 0000000000..ff1ea82d16
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+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Betweenness.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
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+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Betweenness.c<span style="font-size: 80%;"> (<a href="test_Betweenness.c.gcov.html">source</a> / functions)</span></td>
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+            <td width="15%"></td>
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+            <td width="15%" class="headerCovTableHead">Coverage</td>
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+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
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+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+
+  <center>
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+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Betweenness.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#224">test_bc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#280">test_bc_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#32">difference</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
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+</html>
diff --git a/src/test/test_Betweenness.c.func.html b/src/test/test_Betweenness.c.func.html
new file mode 100644
index 0000000000..dc85b09d2f
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+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Betweenness.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Betweenness.c<span style="font-size: 80%;"> (<a href="test_Betweenness.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Betweenness.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#32">difference</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#224">test_bc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Betweenness.c.gcov.html#280">test_bc_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Betweenness.c.gcov.html b/src/test/test_Betweenness.c.gcov.html
new file mode 100644
index 0000000000..5ff9002eeb
--- /dev/null
+++ b/src/test/test_Betweenness.c.gcov.html
@@ -0,0 +1,401 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Betweenness.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Betweenness.c<span style="font-size: 80%;"> (source / <a href="test_Betweenness.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntry">72</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Betweenness.c: test cases for BC (GAP method)</a>
+<a name="3"><span class="lineNum">       3 </span>            : // -----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #define LEN 512</a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char filename [LEN+1] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : // difference: compare the LAGraph and GAP results</a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : float difference (GrB_Vector bc, double *gap_result) ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          3 : float difference (GrB_Vector bc, double *gap_result)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          3 :     GrB_Vector diff = NULL, gap_bc = NULL ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          3 :     GrB_Index n = 0 ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          3 :     OK (GrB_Vector_size (&amp;n, bc)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          3 :     OK (GrB_Vector_new (&amp;gap_bc, GrB_FP32, n)) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        138 :     for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :     {</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        135 :         OK (GrB_Vector_setElement_FP64 (gap_bc, gap_result [i], i)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :     }</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // diff = max (abs (gap_bc - bc))</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          3 :     OK (GrB_Vector_new (&amp;diff, GrB_FP32, n)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          3 :     OK (GrB_eWiseAdd (diff, NULL, NULL, GrB_MINUS_FP32, gap_bc, bc,</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :         NULL)) ;</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          3 :     OK (GrB_apply (diff, NULL, NULL, GrB_ABS_FP32, diff, NULL)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          3 :     float err = 0 ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          3 :     OK (GrB_reduce (&amp;err, NULL, GrB_MAX_MONOID_FP32, diff, NULL)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          3 :     OK (GrB_free (&amp;diff)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          3 :     OK (GrB_free (&amp;gap_bc)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          3 :     return (err) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : }</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : // results for karate graph</a>
+<a name="58"><span class="lineNum">      58 </span>            : //------------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : // Results obtained from GAP/bc.cc, but with each source node reduce by n-1</a>
+<a name="61"><span class="lineNum">      61 </span>            : // where n is the # of nodes in the graph, and prior to normalization.</a>
+<a name="62"><span class="lineNum">      62 </span>            : // (The GAP benchmark results are incorrect for the 4 source nodes, since the</a>
+<a name="63"><span class="lineNum">      63 </span>            : // score includes n-1 paths of length zero, which LAGraph excludes).</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            : //  Read Time:           0.00770</a>
+<a name="66"><span class="lineNum">      66 </span>            : //  Build Time:          0.00021</a>
+<a name="67"><span class="lineNum">      67 </span>            : //  Graph has 34 nodes and 156 directed edges for degree: 4</a>
+<a name="68"><span class="lineNum">      68 </span>            : //  Read Time:           0.00163</a>
+<a name="69"><span class="lineNum">      69 </span>            : //  Graph has 34 nodes and 156 directed edges for degree: 4</a>
+<a name="70"><span class="lineNum">      70 </span>            : //      a                0.00001</a>
+<a name="71"><span class="lineNum">      71 </span>            : //  source: 6</a>
+<a name="72"><span class="lineNum">      72 </span>            : //      b                0.00143</a>
+<a name="73"><span class="lineNum">      73 </span>            : //      p                0.00118</a>
+<a name="74"><span class="lineNum">      74 </span>            : //  source: 29</a>
+<a name="75"><span class="lineNum">      75 </span>            : //      b                0.00012</a>
+<a name="76"><span class="lineNum">      76 </span>            : //      p                0.00010</a>
+<a name="77"><span class="lineNum">      77 </span>            : //  source: 0</a>
+<a name="78"><span class="lineNum">      78 </span>            : //      b                0.00009</a>
+<a name="79"><span class="lineNum">      79 </span>            : //      p                0.00007</a>
+<a name="80"><span class="lineNum">      80 </span>            : //  source: 9</a>
+<a name="81"><span class="lineNum">      81 </span>            : //      b                0.00010</a>
+<a name="82"><span class="lineNum">      82 </span>            : //      p                0.00008</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            : GrB_Index karate_sources [4] = { 6, 29, 0, 9 } ;</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            : double karate_bc [34] = {</a>
+<a name="87"><span class="lineNum">      87 </span>            :     43.7778,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     2.83333,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     26.9143,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     0.722222,</a>
+<a name="91"><span class="lineNum">      91 </span>            :     0.333333,</a>
+<a name="92"><span class="lineNum">      92 </span>            :     1.83333,</a>
+<a name="93"><span class="lineNum">      93 </span>            :     1.5,</a>
+<a name="94"><span class="lineNum">      94 </span>            :     0,</a>
+<a name="95"><span class="lineNum">      95 </span>            :     9.09524,</a>
+<a name="96"><span class="lineNum">      96 </span>            :     0,</a>
+<a name="97"><span class="lineNum">      97 </span>            :     0,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     0,</a>
+<a name="99"><span class="lineNum">      99 </span>            :     0,</a>
+<a name="100"><span class="lineNum">     100 </span>            :     5.19206,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     0,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     0,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     0,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     0,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     0,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     4.58095,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     0,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     0,</a>
+<a name="109"><span class="lineNum">     109 </span>            :     0,</a>
+<a name="110"><span class="lineNum">     110 </span>            :     2.4,</a>
+<a name="111"><span class="lineNum">     111 </span>            :     0,</a>
+<a name="112"><span class="lineNum">     112 </span>            :     0.422222,</a>
+<a name="113"><span class="lineNum">     113 </span>            :     0,</a>
+<a name="114"><span class="lineNum">     114 </span>            :     1.28889,</a>
+<a name="115"><span class="lineNum">     115 </span>            :     0,</a>
+<a name="116"><span class="lineNum">     116 </span>            :     0,</a>
+<a name="117"><span class="lineNum">     117 </span>            :     0.733333,</a>
+<a name="118"><span class="lineNum">     118 </span>            :     14.5508,</a>
+<a name="119"><span class="lineNum">     119 </span>            :     17.1873,</a>
+<a name="120"><span class="lineNum">     120 </span>            :     40.6349 } ;</a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            : // Trial Time:          0.00369</a>
+<a name="123"><span class="lineNum">     123 </span>            : // Average Time:        0.00369</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            : //------------------------------------------------------------------------------</a>
+<a name="126"><span class="lineNum">     126 </span>            : // results for west0067 graph</a>
+<a name="127"><span class="lineNum">     127 </span>            : //------------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            : // Read Time:           0.00213</a>
+<a name="130"><span class="lineNum">     130 </span>            : // Build Time:          0.00019</a>
+<a name="131"><span class="lineNum">     131 </span>            : // Graph has 67 nodes and 292 directed edges for degree: 4</a>
+<a name="132"><span class="lineNum">     132 </span>            : // Read Time:           0.00158</a>
+<a name="133"><span class="lineNum">     133 </span>            : // Graph has 67 nodes and 292 directed edges for degree: 4</a>
+<a name="134"><span class="lineNum">     134 </span>            :     // a                0.00001</a>
+<a name="135"><span class="lineNum">     135 </span>            : // source: 13</a>
+<a name="136"><span class="lineNum">     136 </span>            :     // b                0.00285</a>
+<a name="137"><span class="lineNum">     137 </span>            :     // p                0.00013</a>
+<a name="138"><span class="lineNum">     138 </span>            : // source: 58</a>
+<a name="139"><span class="lineNum">     139 </span>            :     // b                0.00028</a>
+<a name="140"><span class="lineNum">     140 </span>            :     // p                0.00515</a>
+<a name="141"><span class="lineNum">     141 </span>            : // source: 1</a>
+<a name="142"><span class="lineNum">     142 </span>            :     // b                0.00015</a>
+<a name="143"><span class="lineNum">     143 </span>            :     // p                0.00012</a>
+<a name="144"><span class="lineNum">     144 </span>            : // source: 18</a>
+<a name="145"><span class="lineNum">     145 </span>            :     // b                0.00012</a>
+<a name="146"><span class="lineNum">     146 </span>            :     // p                0.00009</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            : GrB_Index west0067_sources [4] = { 13, 58, 1, 18 } ;</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            : double west0067_bc [67] = {</a>
+<a name="151"><span class="lineNum">     151 </span>            :     7.37262,</a>
+<a name="152"><span class="lineNum">     152 </span>            :     5.3892,</a>
+<a name="153"><span class="lineNum">     153 </span>            :     4.53788,</a>
+<a name="154"><span class="lineNum">     154 </span>            :     3.25952,</a>
+<a name="155"><span class="lineNum">     155 </span>            :     11.9139,</a>
+<a name="156"><span class="lineNum">     156 </span>            :     5.73571,</a>
+<a name="157"><span class="lineNum">     157 </span>            :     5.65336,</a>
+<a name="158"><span class="lineNum">     158 </span>            :     1.5,</a>
+<a name="159"><span class="lineNum">     159 </span>            :     19.2719,</a>
+<a name="160"><span class="lineNum">     160 </span>            :     0.343137,</a>
+<a name="161"><span class="lineNum">     161 </span>            :     0.0833333,</a>
+<a name="162"><span class="lineNum">     162 </span>            :     0.666667,</a>
+<a name="163"><span class="lineNum">     163 </span>            :     1.80882,</a>
+<a name="164"><span class="lineNum">     164 </span>            :     12.4246,</a>
+<a name="165"><span class="lineNum">     165 </span>            :     1.92647,</a>
+<a name="166"><span class="lineNum">     166 </span>            :     22.0458,</a>
+<a name="167"><span class="lineNum">     167 </span>            :     4.7381,</a>
+<a name="168"><span class="lineNum">     168 </span>            :     34.8611,</a>
+<a name="169"><span class="lineNum">     169 </span>            :     0.1,</a>
+<a name="170"><span class="lineNum">     170 </span>            :     29.8358,</a>
+<a name="171"><span class="lineNum">     171 </span>            :     9.52807,</a>
+<a name="172"><span class="lineNum">     172 </span>            :     9.71836,</a>
+<a name="173"><span class="lineNum">     173 </span>            :     17.3334,</a>
+<a name="174"><span class="lineNum">     174 </span>            :     54.654,</a>
+<a name="175"><span class="lineNum">     175 </span>            :     23.3118,</a>
+<a name="176"><span class="lineNum">     176 </span>            :     7.31765,</a>
+<a name="177"><span class="lineNum">     177 </span>            :     2.52381,</a>
+<a name="178"><span class="lineNum">     178 </span>            :     6.96905,</a>
+<a name="179"><span class="lineNum">     179 </span>            :     19.2291,</a>
+<a name="180"><span class="lineNum">     180 </span>            :     6.97003,</a>
+<a name="181"><span class="lineNum">     181 </span>            :     33.0464,</a>
+<a name="182"><span class="lineNum">     182 </span>            :     7.20128,</a>
+<a name="183"><span class="lineNum">     183 </span>            :     3.78571,</a>
+<a name="184"><span class="lineNum">     184 </span>            :     7.87698,</a>
+<a name="185"><span class="lineNum">     185 </span>            :     15.3556,</a>
+<a name="186"><span class="lineNum">     186 </span>            :     7.43333,</a>
+<a name="187"><span class="lineNum">     187 </span>            :     7.19091,</a>
+<a name="188"><span class="lineNum">     188 </span>            :     9.20411,</a>
+<a name="189"><span class="lineNum">     189 </span>            :     1.10325,</a>
+<a name="190"><span class="lineNum">     190 </span>            :     6.38095,</a>
+<a name="191"><span class="lineNum">     191 </span>            :     17.808,</a>
+<a name="192"><span class="lineNum">     192 </span>            :     5.18172,</a>
+<a name="193"><span class="lineNum">     193 </span>            :     25.8441,</a>
+<a name="194"><span class="lineNum">     194 </span>            :     7.91581,</a>
+<a name="195"><span class="lineNum">     195 </span>            :     1.13501,</a>
+<a name="196"><span class="lineNum">     196 </span>            :     0,</a>
+<a name="197"><span class="lineNum">     197 </span>            :     2.53004,</a>
+<a name="198"><span class="lineNum">     198 </span>            :     2.48168,</a>
+<a name="199"><span class="lineNum">     199 </span>            :     8.84857,</a>
+<a name="200"><span class="lineNum">     200 </span>            :     3.80708,</a>
+<a name="201"><span class="lineNum">     201 </span>            :     1.16978,</a>
+<a name="202"><span class="lineNum">     202 </span>            :     0.0714286,</a>
+<a name="203"><span class="lineNum">     203 </span>            :     1.76786,</a>
+<a name="204"><span class="lineNum">     204 </span>            :     3.06661,</a>
+<a name="205"><span class="lineNum">     205 </span>            :     12.0742,</a>
+<a name="206"><span class="lineNum">     206 </span>            :     1.6,</a>
+<a name="207"><span class="lineNum">     207 </span>            :     4.73908,</a>
+<a name="208"><span class="lineNum">     208 </span>            :     2.3701,</a>
+<a name="209"><span class="lineNum">     209 </span>            :     3.75,</a>
+<a name="210"><span class="lineNum">     210 </span>            :     1.08571,</a>
+<a name="211"><span class="lineNum">     211 </span>            :     1.69697,</a>
+<a name="212"><span class="lineNum">     212 </span>            :     0,</a>
+<a name="213"><span class="lineNum">     213 </span>            :     0.571429,</a>
+<a name="214"><span class="lineNum">     214 </span>            :     0,</a>
+<a name="215"><span class="lineNum">     215 </span>            :     0,</a>
+<a name="216"><span class="lineNum">     216 </span>            :     2.22381,</a>
+<a name="217"><span class="lineNum">     217 </span>            :     0.659341 } ;</a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span>            : //  Trial Time:          0.00912</a>
+<a name="220"><span class="lineNum">     220 </span>            : //  Average Time:        0.00912</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            : //------------------------------------------------------------------------------</a>
+<a name="223"><span class="lineNum">     223 </span>            : // test_bc</a>
+<a name="224"><span class="lineNum">     224 </span>            : //------------------------------------------------------------------------------</a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 : void test_bc (void)</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : {</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     GrB_Vector centrality = NULL ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     int niters = 0 ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :     // create the karate graph</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :     // compute its betweenness centrality</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :     OK (LAGr_Betweenness (&amp;centrality, G, karate_sources, 4, msg)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     printf (&quot;\nkarate bc:\n&quot;) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span>            :     // compare with GAP:</a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     float err = difference (centrality, karate_bc) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     printf (&quot;karate:   err: %e\n&quot;, err) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span>            :     // create the west0067 graph</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;west0067.mtx&quot;) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span>            : </a>
+<a name="263"><span class="lineNum">     263 </span>            :     // compute its betweenness centrality</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          1 :     OK (LAGr_Betweenness (&amp;centrality, G, west0067_sources, 4, msg)) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          1 :     printf (&quot;\nwest0067 bc:\n&quot;) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            :     // compare with GAP:</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          1 :     err = difference (centrality, west0067_bc) ;</span></a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">          1 :     printf (&quot;west0067: err: %e\n&quot;, err) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          1 : }</span></a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span>            : //------------------------------------------------------------------------------</a>
+<a name="278"><span class="lineNum">     278 </span>            : // test_bc_brutal: test BetweenessCentraliy with brutal malloc debugging</a>
+<a name="279"><span class="lineNum">     279 </span>            : //------------------------------------------------------------------------------</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 : void test_bc_brutal (void)</span></a>
+<a name="283"><span class="lineNum">     283 </span>            : {</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     GrB_Vector centrality = NULL ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">          1 :     int niters = 0 ;</span></a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            :     // create the karate graph</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : </a>
+<a name="300"><span class="lineNum">     300 </span>            :     // compute its betweenness centrality</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">        141 :     LG_BRUTAL_BURBLE (LAGr_Betweenness (&amp;centrality, G,</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :             karate_sources, 4, msg)) ;</a>
+<a name="303"><span class="lineNum">     303 </span>            : </a>
+<a name="304"><span class="lineNum">     304 </span>            :     // compare with GAP:</a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          1 :     float err = difference (centrality, karate_bc) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          1 :     printf (&quot;karate:   err: %e\n&quot;, err) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span>            : </a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          1 : }</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : #endif</a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            : //------------------------------------------------------------------------------</a>
+<a name="316"><span class="lineNum">     316 </span>            : // list of tests</a>
+<a name="317"><span class="lineNum">     317 </span>            : //------------------------------------------------------------------------------</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            : TEST_LIST = {</a>
+<a name="320"><span class="lineNum">     320 </span>            :     {&quot;test_bc&quot;, test_bc},</a>
+<a name="321"><span class="lineNum">     321 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="322"><span class="lineNum">     322 </span>            :     {&quot;test_bc_brutal&quot;, test_bc_brutal },</a>
+<a name="323"><span class="lineNum">     323 </span>            :     #endif</a>
+<a name="324"><span class="lineNum">     324 </span>            :     {NULL, NULL}</a>
+<a name="325"><span class="lineNum">     325 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_BreadthFirstSearch.c.func-sort-c.html b/src/test/test_BreadthFirstSearch.c.func-sort-c.html
new file mode 100644
index 0000000000..a1d0c4493a
--- /dev/null
+++ b/src/test/test_BreadthFirstSearch.c.func-sort-c.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_BreadthFirstSearch.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_BreadthFirstSearch.c<span style="font-size: 80%;"> (<a href="test_BreadthFirstSearch.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_BreadthFirstSearch.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#419">test_BreadthFirstSearch_both</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#217">test_BreadthFirstSearch_invalid_graph</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#235">test_BreadthFirstSearch_invalid_src</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#363">test_BreadthFirstSearch_level</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#468">test_BreadthFirstSearch_many</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#265">test_BreadthFirstSearch_neither</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#296">test_BreadthFirstSearch_parent</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#578">test_bfs_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#168">check_karate_levels30</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#189">setup</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#206">teardown</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#122">check_karate_parents30</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_BreadthFirstSearch.c.func.html b/src/test/test_BreadthFirstSearch.c.func.html
new file mode 100644
index 0000000000..8e0627e03f
--- /dev/null
+++ b/src/test/test_BreadthFirstSearch.c.func.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_BreadthFirstSearch.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_BreadthFirstSearch.c<span style="font-size: 80%;"> (<a href="test_BreadthFirstSearch.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_BreadthFirstSearch.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#168">check_karate_levels30</a></td>
+              <td class="coverFnHi">5</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#122">check_karate_parents30</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#189">setup</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#206">teardown</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#419">test_BreadthFirstSearch_both</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#217">test_BreadthFirstSearch_invalid_graph</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#235">test_BreadthFirstSearch_invalid_src</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#363">test_BreadthFirstSearch_level</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#468">test_BreadthFirstSearch_many</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#265">test_BreadthFirstSearch_neither</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#296">test_BreadthFirstSearch_parent</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_BreadthFirstSearch.c.gcov.html#578">test_bfs_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_BreadthFirstSearch.c.gcov.html b/src/test/test_BreadthFirstSearch.c.gcov.html
new file mode 100644
index 0000000000..c2300ade7e
--- /dev/null
+++ b/src/test/test_BreadthFirstSearch.c.gcov.html
@@ -0,0 +1,753 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_BreadthFirstSearch.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_BreadthFirstSearch.c<span style="font-size: 80%;"> (source / <a href="test_BreadthFirstSearch.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntry">341</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_BreadthFirstSearch.c: test cases for triangle</a>
+<a name="3"><span class="lineNum">       3 </span>            : // counting algorithms</a>
+<a name="4"><span class="lineNum">       4 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Scott McMillan, SEI/CMU, and Timothy A. Davis, Texas A&amp;M</a>
+<a name="16"><span class="lineNum">      16 </span>            : // University</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;graph_zachary_karate.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &quot;LG_alg_internal.h&quot;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg[LAGRAPH_MSG_LEN];</a>
+<a name="28"><span class="lineNum">      28 </span>            : LAGraph_Graph G = NULL;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // Valid results for Karate graph:</a>
+<a name="32"><span class="lineNum">      32 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : GrB_Index const SRC = 30;</a>
+<a name="35"><span class="lineNum">      35 </span>            : // the levels of the tree for the Karate graph, assuming source node 30:</a>
+<a name="36"><span class="lineNum">      36 </span>            : GrB_Index const LEVELS30[] = {2, 1, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3,</a>
+<a name="37"><span class="lineNum">      37 </span>            :                               3, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2,</a>
+<a name="38"><span class="lineNum">      38 </span>            :                               3, 3, 2, 2, 2, 2, 0, 2, 1, 1};</a>
+<a name="39"><span class="lineNum">      39 </span>            : // Karate BFS parents, with source node 30.  This assumes the parent is the min</a>
+<a name="40"><span class="lineNum">      40 </span>            : // of the valid set of parents:</a>
+<a name="41"><span class="lineNum">      41 </span>            : // GrB_Index const PARENT30[] = { 1, 30,  1,  1,  0,  0,  0,  1, 30, 33,  0,  0,</a>
+<a name="42"><span class="lineNum">      42 </span>            : //                                0,  1, 32, 32,  5,  1, 32,  1, 32,  1, 32, 32,</a>
+<a name="43"><span class="lineNum">      43 </span>            : //                               27, 23, 33, 33, 33, 32, 30, 32, 30, 30};</a>
+<a name="44"><span class="lineNum">      44 </span>            : #define xx (-1)</a>
+<a name="45"><span class="lineNum">      45 </span>            : // The following are valid parents for each node, with source node of 30:</a>
+<a name="46"><span class="lineNum">      46 </span>            : GrB_Index const PARENT30 [34][3] = {</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {  1,  8, xx },     // node 0 can have parents 1 or 8</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { 30, xx, xx },     // node 1, parent 30</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {  1,  8, 32 },     // node 2, parents 1, 8, or 32, etc</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {  1, xx, xx },     // node 3</a>
+<a name="51"><span class="lineNum">      51 </span>            :     {  0, xx, xx },     // node 4</a>
+<a name="52"><span class="lineNum">      52 </span>            :     {  0, xx, xx },     // node 5</a>
+<a name="53"><span class="lineNum">      53 </span>            :     {  0, xx, xx },     // node 6</a>
+<a name="54"><span class="lineNum">      54 </span>            :     {  1, xx, xx },     // node 7</a>
+<a name="55"><span class="lineNum">      55 </span>            :     { 30, xx, xx },     // node 8</a>
+<a name="56"><span class="lineNum">      56 </span>            :     { 33, xx, xx },     // node 9</a>
+<a name="57"><span class="lineNum">      57 </span>            :     {  0, xx, xx },     // node 10</a>
+<a name="58"><span class="lineNum">      58 </span>            :     {  0, xx, xx },     // node 11</a>
+<a name="59"><span class="lineNum">      59 </span>            :     {  0,  3, xx },     // node 12</a>
+<a name="60"><span class="lineNum">      60 </span>            :     {  1, 33, xx },     // node 13</a>
+<a name="61"><span class="lineNum">      61 </span>            :     { 32, 33, xx },     // node 14</a>
+<a name="62"><span class="lineNum">      62 </span>            :     { 32, 33, xx },     // node 15</a>
+<a name="63"><span class="lineNum">      63 </span>            :     {  5,  6, xx },     // node 16</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {  1, xx, xx },     // node 17</a>
+<a name="65"><span class="lineNum">      65 </span>            :     { 32, 33, xx },     // node 18</a>
+<a name="66"><span class="lineNum">      66 </span>            :     {  1, 33, xx },     // node 19</a>
+<a name="67"><span class="lineNum">      67 </span>            :     { 32, 33, xx },     // node 20</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {  1, xx, xx },     // node 21</a>
+<a name="69"><span class="lineNum">      69 </span>            :     { 32, 33, xx },     // node 22</a>
+<a name="70"><span class="lineNum">      70 </span>            :     { 32, 33, xx },     // node 23</a>
+<a name="71"><span class="lineNum">      71 </span>            :     { 27, 31, xx },     // node 24</a>
+<a name="72"><span class="lineNum">      72 </span>            :     { 23, 31, xx },     // node 25</a>
+<a name="73"><span class="lineNum">      73 </span>            :     { 33, xx, xx },     // node 26</a>
+<a name="74"><span class="lineNum">      74 </span>            :     { 33, xx, xx },     // node 27</a>
+<a name="75"><span class="lineNum">      75 </span>            :     { 33, xx, xx },     // node 28</a>
+<a name="76"><span class="lineNum">      76 </span>            :     { 32, 33, xx },     // node 29</a>
+<a name="77"><span class="lineNum">      77 </span>            :     { 30, xx, xx },     // node 30, source node</a>
+<a name="78"><span class="lineNum">      78 </span>            :     { 32, 33, xx },     // node 31</a>
+<a name="79"><span class="lineNum">      79 </span>            :     { 30, xx, xx },     // node 32</a>
+<a name="80"><span class="lineNum">      80 </span>            :     { 30, xx, xx }} ;   // node 33</a>
+<a name="81"><span class="lineNum">      81 </span>            : #undef xx</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span>            : #define LEN 512</a>
+<a name="86"><span class="lineNum">      86 </span>            : char filename [LEN+1] ;</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            : typedef struct</a>
+<a name="89"><span class="lineNum">      89 </span>            : {</a>
+<a name="90"><span class="lineNum">      90 </span>            :     LAGraph_Kind kind ;</a>
+<a name="91"><span class="lineNum">      91 </span>            :     const char *name ;</a>
+<a name="92"><span class="lineNum">      92 </span>            : }</a>
+<a name="93"><span class="lineNum">      93 </span>            : matrix_info ;</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            : const matrix_info files [ ] =</a>
+<a name="96"><span class="lineNum">      96 </span>            : {</a>
+<a name="97"><span class="lineNum">      97 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;A.mtx&quot; },</a>
+<a name="98"><span class="lineNum">      98 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot; },</a>
+<a name="99"><span class="lineNum">      99 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;jagmesh7.mtx&quot; },</a>
+<a name="100"><span class="lineNum">     100 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-cdlp-directed-example.mtx&quot; },</a>
+<a name="101"><span class="lineNum">     101 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="102"><span class="lineNum">     102 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot; },</a>
+<a name="103"><span class="lineNum">     103 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="104"><span class="lineNum">     104 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="105"><span class="lineNum">     105 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;LFAT5.mtx&quot; },</a>
+<a name="106"><span class="lineNum">     106 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf1.mtx&quot; },</a>
+<a name="107"><span class="lineNum">     107 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf2.mtx&quot; },</a>
+<a name="108"><span class="lineNum">     108 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf3.mtx&quot; },</a>
+<a name="109"><span class="lineNum">     109 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;sample2.mtx&quot; },</a>
+<a name="110"><span class="lineNum">     110 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;sample.mtx&quot; },</a>
+<a name="111"><span class="lineNum">     111 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;olm1000.mtx&quot; },</a>
+<a name="112"><span class="lineNum">     112 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;bcsstk13.mtx&quot; },</a>
+<a name="113"><span class="lineNum">     113 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;cryg2500.mtx&quot; },</a>
+<a name="114"><span class="lineNum">     114 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;tree-example.mtx&quot; },</a>
+<a name="115"><span class="lineNum">     115 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;west0067.mtx&quot; },</a>
+<a name="116"><span class="lineNum">     116 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;karate.mtx&quot; },</a>
+<a name="117"><span class="lineNum">     117 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_bool.mtx&quot; },</a>
+<a name="118"><span class="lineNum">     118 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;skew_fp32.mtx&quot; },</a>
+<a name="119"><span class="lineNum">     119 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;pushpull.mtx&quot; },</a>
+<a name="120"><span class="lineNum">     120 </span>            :     { LAGRAPH_UNKNOWN, &quot;&quot; },</a>
+<a name="121"><span class="lineNum">     121 </span>            : } ;</a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            : //****************************************************************************</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          7 : bool check_karate_parents30(GrB_Vector parents)</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : {</a>
+<a name="126"><span class="lineNum">     126 </span>            :     // An update to SS:GrB can result in different, yet valid, parent vectors</a>
+<a name="127"><span class="lineNum">     127 </span>            :     // (even single-threaded).  The LG_check_bfs works fine and those tests</a>
+<a name="128"><span class="lineNum">     128 </span>            :     // pass.  This parent test looks for any valid parent vector.</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          7 :     GrB_Index n = 0;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          7 :     TEST_CHECK(0 == GrB_Vector_size(&amp;n, parents));</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          7 :     TEST_CHECK(ZACHARY_NUM_NODES == n);</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          7 :     TEST_CHECK(0 == GrB_Vector_nvals(&amp;n, parents));</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          7 :     TEST_CHECK(ZACHARY_NUM_NODES == n);</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          7 :     bool ok = false ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :     int64_t parent_id;</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">        211 :     for (GrB_Index ix = 0; ix &lt; ZACHARY_NUM_NODES; ++ix)</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :     {</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        205 :         TEST_CHECK(0 == GrB_Vector_extractElement(&amp;parent_id, parents, ix));</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :         // prior test:</a>
+<a name="142"><span class="lineNum">     142 </span>            : //      TEST_CHECK(parent_id == PARENT30[ix][0]);</a>
+<a name="143"><span class="lineNum">     143 </span>            : //      TEST_MSG(&quot;Parent check failed for node %ld: ans,comp = %ld,%ld\n&quot;,</a>
+<a name="144"><span class="lineNum">     144 </span>            : //          ix, PARENT30[ix][0], parent_id);</a>
+<a name="145"><span class="lineNum">     145 </span>            :         // more general test:</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        205 :         ok = false ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        207 :         for (int k = 0 ; k &lt;= 2 ; k++)</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :         {</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        207 :             int valid_parent_id = PARENT30 [ix][k] ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        207 :             if (valid_parent_id &lt; 0)</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :             {</a>
+<a name="152"><span class="lineNum">     152 </span>            :                 // end of the list of valid parent ids</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :                 ok = false ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :                 break ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :             }</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">        206 :             if (parent_id == valid_parent_id)</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :             {</a>
+<a name="158"><span class="lineNum">     158 </span>            :                 // a match is found</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">        204 :                 ok = true ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">        204 :                 break ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :             }</a>
+<a name="162"><span class="lineNum">     162 </span>            :         }</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        205 :         if (!ok) break ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :     }</a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          7 :     return ok;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            : }</a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            : //****************************************************************************</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          5 : bool check_karate_levels30(GrB_Vector levels)</span></a>
+<a name="171"><span class="lineNum">     171 </span>            : {</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          5 :     GrB_Index n = 0;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          5 :     TEST_CHECK(0 == GrB_Vector_size(&amp;n, levels) );</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          5 :     TEST_CHECK(ZACHARY_NUM_NODES == n);</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          5 :     TEST_CHECK(0 == GrB_Vector_nvals(&amp;n, levels) );</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          5 :     TEST_CHECK(ZACHARY_NUM_NODES == n);</span></a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            :     int64_t lvl;</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        175 :     for (GrB_Index ix = 0; ix &lt; ZACHARY_NUM_NODES; ++ix)</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :     {</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">        170 :         TEST_CHECK(0 == GrB_Vector_extractElement(&amp;lvl, levels, ix) );</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        170 :         TEST_CHECK(lvl == LEVELS30[ix] );</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">        170 :         TEST_MSG(&quot;Level check failed for node %g: ans,comp = %g,%g\n&quot;,</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :                  (double) ix, (double) LEVELS30[ix], (double) lvl);</a>
+<a name="185"><span class="lineNum">     185 </span>            :     }</a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          5 :     return true;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : }</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            : //****************************************************************************</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          6 : void setup(void)</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : {</a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          6 :     LAGraph_Init(msg);</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :     int retval;</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          6 :     GrB_Matrix A = NULL;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          6 :     TEST_CHECK(0 == GrB_Matrix_new(&amp;A, GrB_UINT32,</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :                                    ZACHARY_NUM_NODES, ZACHARY_NUM_NODES) );</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          6 :     TEST_CHECK(0 == GrB_Matrix_build(A, ZACHARY_I, ZACHARY_J, ZACHARY_V,</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :                                      ZACHARY_NUM_EDGES, GrB_LOR) );</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          6 :     retval = LAGraph_New(&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg);</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          6 :     TEST_CHECK(retval == 0);</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          6 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          6 : }</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            : //****************************************************************************</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          6 : void teardown(void)</span></a>
+<a name="209"><span class="lineNum">     209 </span>            : {</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          6 :     int retval = LAGraph_Delete(&amp;G, msg);</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          6 :     TEST_CHECK(retval == 0);</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          6 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          6 :     G = NULL;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          6 :     LAGraph_Finalize(msg);</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          6 : }</span></a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            : //****************************************************************************</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_invalid_graph(void)</span></a>
+<a name="220"><span class="lineNum">     220 </span>            : {</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :     int retval;</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          1 :     LAGraph_Graph graph = NULL;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, NULL, graph, 0, msg);</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, NULL, graph, 0, msg);</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          1 : }</span></a>
+<a name="235"><span class="lineNum">     235 </span>            : </a>
+<a name="236"><span class="lineNum">     236 </span>            : //****************************************************************************</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_invalid_src(void)</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : {</a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :     int retval;</a>
+<a name="241"><span class="lineNum">     241 </span>            :     GrB_Index n;</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_Matrix_nrows(&amp;n, (G-&gt;A)));</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     GrB_Vector parent = NULL ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     GrB_Vector level  = NULL ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(&amp;level, NULL, G, n, msg);</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_INVALID_INDEX);</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(&amp;level, NULL, G, n, msg);</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_INVALID_INDEX);</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="254"><span class="lineNum">     254 </span>            : </a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, &amp;parent, G, n, msg);</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_INVALID_INDEX);</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, &amp;parent, G, n, msg);</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_INVALID_INDEX);</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="262"><span class="lineNum">     262 </span>            : </a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          1 : }</span></a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span>            : //****************************************************************************</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_neither(void)</span></a>
+<a name="268"><span class="lineNum">     268 </span>            : {</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :     int retval;</a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          1 :     printf (&quot;\nTest level and parent both NULL:\n&quot;) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_COMPLETE_VERBOSE ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          1 :     retval = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_SUCCESS);</span></a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, NULL, G, 0, msg);</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, NULL, G, 0, msg);</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, NULL, G, 0, msg);</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, NULL, G, 0, msg);</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     TEST_CHECK(retval == GrB_NULL_POINTER);</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          1 : }</span></a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span>            : //****************************************************************************</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_parent(void)</span></a>
+<a name="299"><span class="lineNum">     299 </span>            : {</a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="301"><span class="lineNum">     301 </span>            :     int retval;</a>
+<a name="302"><span class="lineNum">     302 </span>            : </a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          1 :     GrB_Vector parent    = NULL;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          1 :     GrB_Vector parent_do = NULL;</span></a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, &amp;parent, G, 30, msg);</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent));</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          1 :     retval = LG_check_bfs (NULL, parent, G, 30, msg) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            :     // mangle the parent vector, just to check check_karate_parents30</a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (parent, 0, 0)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          1 :     TEST_CHECK(!check_karate_parents30(parent));</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="319"><span class="lineNum">     319 </span>            : </a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, &amp;parent, G, 30, msg);</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent));</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">          1 :     retval = LG_check_bfs (NULL, parent, G, 30, msg) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(NULL, &amp;parent_do, G, 30, msg);</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent_do));</span></a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          1 :     retval = LG_check_bfs (NULL, parent_do, G, 30, msg) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent_do));</span></a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(NULL, &amp;parent_do, G, 30, msg);</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent_do));</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          1 :     retval = LG_check_bfs (NULL, parent_do, G, 30, msg) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent_do));</span></a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">          1 :     GrB_Index n = 0 ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          1 :     TEST_CHECK (0 == GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">         35 :     for (GrB_Index src = 0 ; src &lt; n ; src++)</span></a>
+<a name="347"><span class="lineNum">     347 </span>            :     {</a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">         34 :         retval = LAGr_BreadthFirstSearch(NULL, &amp;parent, G, src, msg);</span></a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">         34 :         TEST_CHECK(retval == 0);</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">         34 :         retval = LG_check_bfs (NULL, parent, G, src, msg) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">         34 :         TEST_CHECK (retval == 0) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="353"><span class="lineNum">     353 </span>            : </a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">         34 :         retval = LG_BreadthFirstSearch_vanilla(NULL, &amp;parent, G, src, msg);</span></a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">         34 :         TEST_CHECK(retval == 0);</span></a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">         34 :         retval = LG_check_bfs (NULL, parent, G, src, msg) ;</span></a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">         34 :         TEST_CHECK (retval == 0) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="359"><span class="lineNum">     359 </span>            :     }</a>
+<a name="360"><span class="lineNum">     360 </span>            : </a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">          1 : }</span></a>
+<a name="363"><span class="lineNum">     363 </span>            : </a>
+<a name="364"><span class="lineNum">     364 </span>            : //****************************************************************************</a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_level(void)</span></a>
+<a name="366"><span class="lineNum">     366 </span>            : {</a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="368"><span class="lineNum">     368 </span>            :     int retval;</a>
+<a name="369"><span class="lineNum">     369 </span>            : </a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">          1 :     GrB_Vector level    = NULL;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          1 :     GrB_Vector level_do = NULL;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="373"><span class="lineNum">     373 </span>            : </a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(&amp;level, NULL, G, 30, msg);</span></a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_levels30(level));</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">          1 :     retval = LG_check_bfs (level, NULL, G, 30, msg) ;</span></a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          1 :     retval = LG_BreadthFirstSearch_vanilla(&amp;level, NULL, G, 30, msg);</span></a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_levels30(level));</span></a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          1 :     retval = LG_check_bfs (level, NULL, G, 30, msg) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(&amp;level_do, NULL, G, 30, msg);</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_levels30(level_do));</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          1 :     retval = LG_check_bfs (level_do, NULL, G, 30, msg) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;level_do));</span></a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          1 :     GrB_Index n = 0 ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          1 :     TEST_CHECK (0 == GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">         35 :     for (GrB_Index src = 0 ; src &lt; n ; src++)</span></a>
+<a name="401"><span class="lineNum">     401 </span>            :     {</a>
+<a name="402"><span class="lineNum">     402 </span>            : </a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">         34 :         retval = LAGr_BreadthFirstSearch(&amp;level, NULL, G, src, msg);</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">         34 :         TEST_CHECK(retval == 0);</span></a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">         34 :         retval = LG_check_bfs (level, NULL, G, src, msg) ;</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">         34 :         TEST_CHECK (retval == 0) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="408"><span class="lineNum">     408 </span>            : </a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">         34 :         retval = LG_BreadthFirstSearch_vanilla(&amp;level, NULL, G, src, msg);</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">         34 :         TEST_CHECK(retval == 0);</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">         34 :         retval = LG_check_bfs (level, NULL, G, src, msg) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">         34 :         TEST_CHECK (retval == 0) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="414"><span class="lineNum">     414 </span>            : </a>
+<a name="415"><span class="lineNum">     415 </span>            :     }</a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          1 : }</span></a>
+<a name="419"><span class="lineNum">     419 </span>            : </a>
+<a name="420"><span class="lineNum">     420 </span>            : //****************************************************************************</a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_both(void)</span></a>
+<a name="422"><span class="lineNum">     422 </span>            : {</a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="424"><span class="lineNum">     424 </span>            :     int retval;</a>
+<a name="425"><span class="lineNum">     425 </span>            : </a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">          1 :     GrB_Vector parent    = NULL;</span></a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">          1 :     GrB_Vector level    = NULL;</span></a>
+<a name="429"><span class="lineNum">     429 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(&amp;level, &amp;parent, G, 30, msg);</span></a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="432"><span class="lineNum">     432 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_levels30(level));</span></a>
+<a name="433"><span class="lineNum">     433 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent));</span></a>
+<a name="434"><span class="lineNum">     434 </span>            : </a>
+<a name="435"><span class="lineNum">     435 </span><span class="lineCov">          1 :     retval = LG_check_bfs (level, parent, G, 30, msg) ;</span></a>
+<a name="436"><span class="lineNum">     436 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="437"><span class="lineNum">     437 </span>            : </a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="439"><span class="lineNum">     439 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="440"><span class="lineNum">     440 </span>            : </a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">          1 :     GrB_Vector parent_do = NULL;</span></a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          1 :     GrB_Vector level_do = NULL;</span></a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">          1 :     retval = LAGr_BreadthFirstSearch(&amp;level_do, &amp;parent_do, G, 30, msg);</span></a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_levels30(level_do));</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">          1 :     TEST_CHECK(check_karate_parents30(parent_do));</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">          1 :     retval = LG_check_bfs (level_do, parent_do, G, 30, msg) ;</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">          1 :     TEST_CHECK (retval == 0) ;</span></a>
+<a name="450"><span class="lineNum">     450 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;parent_do));</span></a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">          1 :     TEST_CHECK(0 == GrB_free(&amp;level_do));</span></a>
+<a name="452"><span class="lineNum">     452 </span>            : </a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">          1 :     GrB_Index n = 0 ;</span></a>
+<a name="454"><span class="lineNum">     454 </span><span class="lineCov">          1 :     TEST_CHECK (0 == GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="455"><span class="lineNum">     455 </span>            : </a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">         35 :     for (GrB_Index src = 0 ; src &lt; n ; src++)</span></a>
+<a name="457"><span class="lineNum">     457 </span>            :     {</a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">         34 :         retval = LAGr_BreadthFirstSearch(&amp;level, &amp;parent, G, src, msg);</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">         34 :         TEST_CHECK(retval == 0);</span></a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">         34 :         retval = LG_check_bfs (level, parent, G, src, msg) ;</span></a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">         34 :         TEST_CHECK (retval == 0) ;</span></a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;parent));</span></a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">         34 :         TEST_CHECK(0 == GrB_free(&amp;level));</span></a>
+<a name="464"><span class="lineNum">     464 </span>            :     }</a>
+<a name="465"><span class="lineNum">     465 </span>            : </a>
+<a name="466"><span class="lineNum">     466 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="467"><span class="lineNum">     467 </span><span class="lineCov">          1 : }</span></a>
+<a name="468"><span class="lineNum">     468 </span>            : </a>
+<a name="469"><span class="lineNum">     469 </span>            : //****************************************************************************</a>
+<a name="470"><span class="lineNum">     470 </span><span class="lineCov">          1 : void test_BreadthFirstSearch_many(void)</span></a>
+<a name="471"><span class="lineNum">     471 </span>            : {</a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">          1 :     LAGraph_Init(msg);</span></a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="474"><span class="lineNum">     474 </span>            : </a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">         23 :     {</span></a>
+<a name="477"><span class="lineNum">     477 </span>            : </a>
+<a name="478"><span class="lineNum">     478 </span>            :         // load the adjacency matrix as A</a>
+<a name="479"><span class="lineNum">     479 </span><span class="lineCov">         24 :         const char *aname = files [k].name ;</span></a>
+<a name="480"><span class="lineNum">     480 </span><span class="lineCov">         24 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="481"><span class="lineNum">     481 </span><span class="lineCov">         24 :         if (strlen (aname) == 0) break;</span></a>
+<a name="482"><span class="lineNum">     482 </span><span class="lineCov">         23 :         TEST_CASE (aname) ;</span></a>
+<a name="483"><span class="lineNum">     483 </span><span class="lineCov">         23 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="484"><span class="lineNum">     484 </span><span class="lineCov">         23 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="485"><span class="lineNum">     485 </span><span class="lineCov">         23 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">         23 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">         23 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">         23 :         OK (fclose (f)) ;</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">         23 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="490"><span class="lineNum">     490 </span>            : </a>
+<a name="491"><span class="lineNum">     491 </span>            :         // create the graph</a>
+<a name="492"><span class="lineNum">     492 </span><span class="lineCov">         23 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="493"><span class="lineNum">     493 </span><span class="lineCov">         23 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="494"><span class="lineNum">     494 </span>            : </a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">         23 :         GrB_Index n = 0 ;</span></a>
+<a name="496"><span class="lineNum">     496 </span><span class="lineCov">         23 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="497"><span class="lineNum">     497 </span>            : </a>
+<a name="498"><span class="lineNum">     498 </span><span class="lineCov">         69 :         for (int caching = 0 ; caching &lt;= 1 ; caching++)</span></a>
+<a name="499"><span class="lineNum">     499 </span>            :         {</a>
+<a name="500"><span class="lineNum">     500 </span>            :             // run the BFS</a>
+<a name="501"><span class="lineNum">     501 </span><span class="lineCov">         46 :             int64_t step = (n &gt; 100) ? (3*n/4) : ((n/4) + 1) ;</span></a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">        190 :             for (int64_t src = 0 ; src &lt; n ; src += step)</span></a>
+<a name="503"><span class="lineNum">     503 </span>            :             {</a>
+<a name="504"><span class="lineNum">     504 </span><span class="lineCov">        144 :                 GrB_Vector parent = NULL ;</span></a>
+<a name="505"><span class="lineNum">     505 </span><span class="lineCov">        144 :                 GrB_Vector level = NULL ;</span></a>
+<a name="506"><span class="lineNum">     506 </span>            : </a>
+<a name="507"><span class="lineNum">     507 </span>            :                 int64_t maxlevel ;</a>
+<a name="508"><span class="lineNum">     508 </span>            :                 GrB_Index nvisited ;</a>
+<a name="509"><span class="lineNum">     509 </span>            : </a>
+<a name="510"><span class="lineNum">     510 </span><span class="lineCov">        144 :                 OK (LAGr_BreadthFirstSearch (&amp;level, &amp;parent, G, src, msg)) ;</span></a>
+<a name="511"><span class="lineNum">     511 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (level, parent, G, src, msg)) ;</span></a>
+<a name="512"><span class="lineNum">     512 </span><span class="lineCov">        144 :                 OK (GrB_reduce (&amp;maxlevel, NULL, GrB_MAX_MONOID_INT64,</span></a>
+<a name="513"><span class="lineNum">     513 </span>            :                     level, NULL)) ;</a>
+<a name="514"><span class="lineNum">     514 </span><span class="lineCov">        144 :                 OK (GrB_Vector_nvals (&amp;nvisited, level)) ;</span></a>
+<a name="515"><span class="lineNum">     515 </span>            :                 {</a>
+<a name="516"><span class="lineNum">     516 </span><span class="lineCov">        144 :                     printf (&quot;src %g n: %g max level: %g nvisited: %g\n&quot;,</span></a>
+<a name="517"><span class="lineNum">     517 </span>            :                         (double) src, (double) n, (double) maxlevel,</a>
+<a name="518"><span class="lineNum">     518 </span>            :                         (double) nvisited) ;</a>
+<a name="519"><span class="lineNum">     519 </span>            :                 }</a>
+<a name="520"><span class="lineNum">     520 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;parent));</span></a>
+<a name="521"><span class="lineNum">     521 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;level));</span></a>
+<a name="522"><span class="lineNum">     522 </span>            : </a>
+<a name="523"><span class="lineNum">     523 </span><span class="lineCov">        144 :                 OK (LG_BreadthFirstSearch_vanilla (&amp;level, &amp;parent,</span></a>
+<a name="524"><span class="lineNum">     524 </span>            :                     G, src, msg)) ;</a>
+<a name="525"><span class="lineNum">     525 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (level, parent, G, src, msg)) ;</span></a>
+<a name="526"><span class="lineNum">     526 </span><span class="lineCov">        144 :                 OK (GrB_reduce (&amp;maxlevel, NULL, GrB_MAX_MONOID_INT64,</span></a>
+<a name="527"><span class="lineNum">     527 </span>            :                     level, NULL)) ;</a>
+<a name="528"><span class="lineNum">     528 </span><span class="lineCov">        144 :                 OK (GrB_Vector_nvals (&amp;nvisited, level)) ;</span></a>
+<a name="529"><span class="lineNum">     529 </span>            :                 {</a>
+<a name="530"><span class="lineNum">     530 </span><span class="lineCov">        144 :                     printf (&quot;src %g n: %g max level: %g nvisited: %g\n&quot;,</span></a>
+<a name="531"><span class="lineNum">     531 </span>            :                         (double) src, (double) n, (double) maxlevel,</a>
+<a name="532"><span class="lineNum">     532 </span>            :                         (double) nvisited) ;</a>
+<a name="533"><span class="lineNum">     533 </span>            :                 }</a>
+<a name="534"><span class="lineNum">     534 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;parent));</span></a>
+<a name="535"><span class="lineNum">     535 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;level));</span></a>
+<a name="536"><span class="lineNum">     536 </span>            : </a>
+<a name="537"><span class="lineNum">     537 </span><span class="lineCov">        144 :                 OK (LAGr_BreadthFirstSearch (NULL, &amp;parent, G, src, msg)) ;</span></a>
+<a name="538"><span class="lineNum">     538 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (NULL, parent, G, src, msg)) ;</span></a>
+<a name="539"><span class="lineNum">     539 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;parent));</span></a>
+<a name="540"><span class="lineNum">     540 </span>            : </a>
+<a name="541"><span class="lineNum">     541 </span><span class="lineCov">        144 :                 OK (LG_BreadthFirstSearch_vanilla (NULL, &amp;parent,</span></a>
+<a name="542"><span class="lineNum">     542 </span>            :                     G, src, msg)) ;</a>
+<a name="543"><span class="lineNum">     543 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (NULL, parent, G, src, msg)) ;</span></a>
+<a name="544"><span class="lineNum">     544 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;parent));</span></a>
+<a name="545"><span class="lineNum">     545 </span>            : </a>
+<a name="546"><span class="lineNum">     546 </span><span class="lineCov">        144 :                 OK (LAGr_BreadthFirstSearch (&amp;level, NULL, G, src, msg)) ;</span></a>
+<a name="547"><span class="lineNum">     547 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (level, NULL, G, src, msg)) ;</span></a>
+<a name="548"><span class="lineNum">     548 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;level));</span></a>
+<a name="549"><span class="lineNum">     549 </span>            : </a>
+<a name="550"><span class="lineNum">     550 </span><span class="lineCov">        144 :                 OK (LG_BreadthFirstSearch_vanilla (&amp;level, NULL, G, src, msg)) ;</span></a>
+<a name="551"><span class="lineNum">     551 </span><span class="lineCov">        144 :                 OK (LG_check_bfs (level, NULL, G, src, msg)) ;</span></a>
+<a name="552"><span class="lineNum">     552 </span><span class="lineCov">        144 :                 OK (GrB_free(&amp;level));</span></a>
+<a name="553"><span class="lineNum">     553 </span>            : </a>
+<a name="554"><span class="lineNum">     554 </span>            :             }</a>
+<a name="555"><span class="lineNum">     555 </span>            : </a>
+<a name="556"><span class="lineNum">     556 </span>            :             // create its cached properties</a>
+<a name="557"><span class="lineNum">     557 </span><span class="lineCov">         46 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="558"><span class="lineNum">     558 </span><span class="lineCov">         46 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="559"><span class="lineNum">     559 </span><span class="lineCov">         46 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="560"><span class="lineNum">     560 </span><span class="lineCov">         46 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="561"><span class="lineNum">     561 </span><span class="lineCov">         46 :             OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="562"><span class="lineNum">     562 </span><span class="lineCov">         46 :             OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="563"><span class="lineNum">     563 </span><span class="lineCov">         46 :             OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="564"><span class="lineNum">     564 </span><span class="lineCov">         46 :             result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="565"><span class="lineNum">     565 </span><span class="lineCov">         46 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="566"><span class="lineNum">     566 </span><span class="lineCov">         46 :             OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="567"><span class="lineNum">     567 </span>            :         }</a>
+<a name="568"><span class="lineNum">     568 </span>            : </a>
+<a name="569"><span class="lineNum">     569 </span><span class="lineCov">         23 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="570"><span class="lineNum">     570 </span>            :     }</a>
+<a name="571"><span class="lineNum">     571 </span>            : </a>
+<a name="572"><span class="lineNum">     572 </span><span class="lineCov">          1 :     LAGraph_Finalize(msg);</span></a>
+<a name="573"><span class="lineNum">     573 </span><span class="lineCov">          1 : }</span></a>
+<a name="574"><span class="lineNum">     574 </span>            : </a>
+<a name="575"><span class="lineNum">     575 </span>            : //------------------------------------------------------------------------------</a>
+<a name="576"><span class="lineNum">     576 </span>            : // test_bfs_brutal</a>
+<a name="577"><span class="lineNum">     577 </span>            : //------------------------------------------------------------------------------</a>
+<a name="578"><span class="lineNum">     578 </span>            : </a>
+<a name="579"><span class="lineNum">     579 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="580"><span class="lineNum">     580 </span><span class="lineCov">          1 : void test_bfs_brutal (void)</span></a>
+<a name="581"><span class="lineNum">     581 </span>            : {</a>
+<a name="582"><span class="lineNum">     582 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="583"><span class="lineNum">     583 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="584"><span class="lineNum">     584 </span>            : </a>
+<a name="585"><span class="lineNum">     585 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="586"><span class="lineNum">     586 </span><span class="lineCov">         23 :     {</span></a>
+<a name="587"><span class="lineNum">     587 </span>            :         // load the adjacency matrix as A</a>
+<a name="588"><span class="lineNum">     588 </span><span class="lineCov">         24 :         const char *aname = files [k].name ;</span></a>
+<a name="589"><span class="lineNum">     589 </span><span class="lineCov">         24 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="590"><span class="lineNum">     590 </span><span class="lineCov">         24 :         if (strlen (aname) == 0) break;</span></a>
+<a name="591"><span class="lineNum">     591 </span><span class="lineCov">         23 :         TEST_CASE (aname) ;</span></a>
+<a name="592"><span class="lineNum">     592 </span><span class="lineCov">         23 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="593"><span class="lineNum">     593 </span><span class="lineCov">         23 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="594"><span class="lineNum">     594 </span><span class="lineCov">         23 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="595"><span class="lineNum">     595 </span><span class="lineCov">         23 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="596"><span class="lineNum">     596 </span><span class="lineCov">         23 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="597"><span class="lineNum">     597 </span><span class="lineCov">         23 :         OK (fclose (f)) ;</span></a>
+<a name="598"><span class="lineNum">     598 </span><span class="lineCov">         23 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="599"><span class="lineNum">     599 </span>            :         // create the graph</a>
+<a name="600"><span class="lineNum">     600 </span><span class="lineCov">         23 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="601"><span class="lineNum">     601 </span><span class="lineCov">         23 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="602"><span class="lineNum">     602 </span><span class="lineCov">         23 :         GrB_Index n = 0 ;</span></a>
+<a name="603"><span class="lineNum">     603 </span><span class="lineCov">         23 :         OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="604"><span class="lineNum">     604 </span><span class="lineCov">         23 :         if (n &gt;= 1000)</span></a>
+<a name="605"><span class="lineNum">     605 </span>            :         {</a>
+<a name="606"><span class="lineNum">     606 </span>            :             // only do the small graphs</a>
+<a name="607"><span class="lineNum">     607 </span><span class="lineCov">          5 :             printf (&quot;skipped\n&quot;) ;</span></a>
+<a name="608"><span class="lineNum">     608 </span><span class="lineCov">          5 :             OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="609"><span class="lineNum">     609 </span><span class="lineCov">          5 :             continue ;</span></a>
+<a name="610"><span class="lineNum">     610 </span>            :         }</a>
+<a name="611"><span class="lineNum">     611 </span>            : </a>
+<a name="612"><span class="lineNum">     612 </span><span class="lineCov">         54 :         for (int caching = 0 ; caching &lt;= 1 ; caching++)</span></a>
+<a name="613"><span class="lineNum">     613 </span>            :         {</a>
+<a name="614"><span class="lineNum">     614 </span>            :             // run the BFS</a>
+<a name="615"><span class="lineNum">     615 </span><span class="lineCov">         36 :             int64_t step = (n &gt; 100) ? (3*n/4) : ((n/4) + 1) ;</span></a>
+<a name="616"><span class="lineNum">     616 </span><span class="lineCov">        160 :             for (int64_t src = 0 ; src &lt; n ; src += step)</span></a>
+<a name="617"><span class="lineNum">     617 </span>            :             {</a>
+<a name="618"><span class="lineNum">     618 </span><span class="lineCov">        124 :                 GrB_Vector parent = NULL ;</span></a>
+<a name="619"><span class="lineNum">     619 </span><span class="lineCov">        124 :                 GrB_Vector level = NULL ;</span></a>
+<a name="620"><span class="lineNum">     620 </span>            : </a>
+<a name="621"><span class="lineNum">     621 </span>            :                 // parent and level with SS:GrB</a>
+<a name="622"><span class="lineNum">     622 </span><span class="lineCov">       4921 :                 LG_BRUTAL_BURBLE (LAGr_BreadthFirstSearch (&amp;level, &amp;parent, G, src, msg)) ;</span></a>
+<a name="623"><span class="lineNum">     623 </span><span class="lineCov">        124 :                 OK (LG_check_bfs (level, parent, G, src, msg)) ;</span></a>
+<a name="624"><span class="lineNum">     624 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;parent)) ;</span></a>
+<a name="625"><span class="lineNum">     625 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;level)) ;</span></a>
+<a name="626"><span class="lineNum">     626 </span>            : </a>
+<a name="627"><span class="lineNum">     627 </span>            :                 // level only with SS:GrB</a>
+<a name="628"><span class="lineNum">     628 </span><span class="lineCov">       3996 :                 LG_BRUTAL (LAGr_BreadthFirstSearch (&amp;level, NULL, G, src, msg)) ;</span></a>
+<a name="629"><span class="lineNum">     629 </span><span class="lineCov">        124 :                 OK (LG_check_bfs (level, NULL, G, src, msg)) ;</span></a>
+<a name="630"><span class="lineNum">     630 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;level)) ;</span></a>
+<a name="631"><span class="lineNum">     631 </span>            : </a>
+<a name="632"><span class="lineNum">     632 </span>            :                 // parent and level with vanilla</a>
+<a name="633"><span class="lineNum">     633 </span><span class="lineCov">       5014 :                 LG_BRUTAL (LG_BreadthFirstSearch_vanilla (&amp;level,</span></a>
+<a name="634"><span class="lineNum">     634 </span>            :                     &amp;parent, G, src, msg)) ;</a>
+<a name="635"><span class="lineNum">     635 </span><span class="lineCov">        124 :                 OK (LG_check_bfs (level, parent, G, src, msg)) ;</span></a>
+<a name="636"><span class="lineNum">     636 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;parent)) ;</span></a>
+<a name="637"><span class="lineNum">     637 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;level)) ;</span></a>
+<a name="638"><span class="lineNum">     638 </span>            : </a>
+<a name="639"><span class="lineNum">     639 </span>            :                 // level-only with vanilla</a>
+<a name="640"><span class="lineNum">     640 </span><span class="lineCov">       3942 :                 LG_BRUTAL (LG_BreadthFirstSearch_vanilla (&amp;level, NULL,</span></a>
+<a name="641"><span class="lineNum">     641 </span>            :                         G, src, msg)) ;</a>
+<a name="642"><span class="lineNum">     642 </span><span class="lineCov">        124 :                 OK (LG_check_bfs (level, NULL, G, src, msg)) ;</span></a>
+<a name="643"><span class="lineNum">     643 </span><span class="lineCov">        124 :                 OK (GrB_free (&amp;level)) ;</span></a>
+<a name="644"><span class="lineNum">     644 </span>            :             }</a>
+<a name="645"><span class="lineNum">     645 </span>            : </a>
+<a name="646"><span class="lineNum">     646 </span>            :             // create its cached properties</a>
+<a name="647"><span class="lineNum">     647 </span><span class="lineCov">         36 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="648"><span class="lineNum">     648 </span><span class="lineCov">         36 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="649"><span class="lineNum">     649 </span><span class="lineCov">         36 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="650"><span class="lineNum">     650 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="651"><span class="lineNum">     651 </span><span class="lineCov">         36 :             OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="652"><span class="lineNum">     652 </span><span class="lineCov">         36 :             result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="653"><span class="lineNum">     653 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="654"><span class="lineNum">     654 </span>            :         }</a>
+<a name="655"><span class="lineNum">     655 </span>            : </a>
+<a name="656"><span class="lineNum">     656 </span><span class="lineCov">         18 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="657"><span class="lineNum">     657 </span>            :     }</a>
+<a name="658"><span class="lineNum">     658 </span>            : </a>
+<a name="659"><span class="lineNum">     659 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="660"><span class="lineNum">     660 </span><span class="lineCov">          1 : }</span></a>
+<a name="661"><span class="lineNum">     661 </span>            : #endif</a>
+<a name="662"><span class="lineNum">     662 </span>            : </a>
+<a name="663"><span class="lineNum">     663 </span>            : //****************************************************************************</a>
+<a name="664"><span class="lineNum">     664 </span>            : //****************************************************************************</a>
+<a name="665"><span class="lineNum">     665 </span>            : TEST_LIST = {</a>
+<a name="666"><span class="lineNum">     666 </span>            :     {&quot;BreadthFirstSearch_invalid_graph&quot;, test_BreadthFirstSearch_invalid_graph},</a>
+<a name="667"><span class="lineNum">     667 </span>            :     {&quot;BreadthFirstSearch_invalid_src&quot;, test_BreadthFirstSearch_invalid_src},</a>
+<a name="668"><span class="lineNum">     668 </span>            :     {&quot;BreadthFirstSearch_neither&quot;, test_BreadthFirstSearch_neither},</a>
+<a name="669"><span class="lineNum">     669 </span>            :     {&quot;BreadthFirstSearch_parent&quot;, test_BreadthFirstSearch_parent},</a>
+<a name="670"><span class="lineNum">     670 </span>            :     {&quot;BreadthFirstSearch_level&quot;, test_BreadthFirstSearch_level},</a>
+<a name="671"><span class="lineNum">     671 </span>            :     {&quot;BreadthFirstSearch_both&quot;, test_BreadthFirstSearch_both},</a>
+<a name="672"><span class="lineNum">     672 </span>            :     {&quot;BreadthFirstSearch_many&quot;, test_BreadthFirstSearch_many},</a>
+<a name="673"><span class="lineNum">     673 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="674"><span class="lineNum">     674 </span>            :     {&quot;BreadthFirstSearch_brutal&quot;, test_bfs_brutal },</a>
+<a name="675"><span class="lineNum">     675 </span>            :     #endif</a>
+<a name="676"><span class="lineNum">     676 </span>            :     {NULL, NULL}</a>
+<a name="677"><span class="lineNum">     677 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_AT.c.func-sort-c.html b/src/test/test_Cached_AT.c.func-sort-c.html
new file mode 100644
index 0000000000..4f77331692
--- /dev/null
+++ b/src/test/test_Cached_AT.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_AT.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_AT.c<span style="font-size: 80%;"> (<a href="test_Cached_AT.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Cached_AT.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#71">test_Cached_AT</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#140">test_Cached_AT_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_AT.c.func.html b/src/test/test_Cached_AT.c.func.html
new file mode 100644
index 0000000000..c77e7735dd
--- /dev/null
+++ b/src/test/test_Cached_AT.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_AT.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_AT.c<span style="font-size: 80%;"> (<a href="test_Cached_AT.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Cached_AT.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#71">test_Cached_AT</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_AT.c.gcov.html#140">test_Cached_AT_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_AT.c.gcov.html b/src/test/test_Cached_AT.c.gcov.html
new file mode 100644
index 0000000000..a0b9b3d3d0
--- /dev/null
+++ b/src/test/test_Cached_AT.c.gcov.html
@@ -0,0 +1,290 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_AT.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_AT.c<span style="font-size: 80%;"> (source / <a href="test_Cached_AT.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Cached_AT.c:  test LAGraph_Cached_AT</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL, B = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Type atype = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // setup: start a test</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 : }</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : // teardown: finalize a test</a>
+<a name="43"><span class="lineNum">      43 </span>            : //------------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 : }</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : // test_Cached_AT:  test LAGraph_Cached_AT</a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : typedef struct</a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span>            :     LAGraph_Kind kind ;</a>
+<a name="57"><span class="lineNum">      57 </span>            :     const char *name ;</a>
+<a name="58"><span class="lineNum">      58 </span>            : }</a>
+<a name="59"><span class="lineNum">      59 </span>            : matrix_info ;</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            : const matrix_info files [ ] =</a>
+<a name="62"><span class="lineNum">      62 </span>            : {</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     LAGRAPH_UNKNOWN,              &quot;&quot;</a>
+<a name="67"><span class="lineNum">      67 </span>            : } ;</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // test_Cached_AT</a>
+<a name="71"><span class="lineNum">      71 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 : void test_Cached_AT (void)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          3 :     {</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :         // load the matrix as A</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          4 :         int kind = files [k].kind ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          3 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          3 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :         // create the G-&gt;AT cached property</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          3 :         int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          3 :             LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          3 :         int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          3 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :         // try to create it again; this should safely do nothing</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          3 :         result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          3 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :         // check the result</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          3 :         if (kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :         {</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;AT == NULL) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :         }</a>
+<a name="111"><span class="lineNum">     111 </span>            :         else</a>
+<a name="112"><span class="lineNum">     112 </span>            :         {</a>
+<a name="113"><span class="lineNum">     113 </span>            :             // ensure G-&gt;A and G-&gt;AT are transposed of each other;</a>
+<a name="114"><span class="lineNum">     114 </span>            :             // B = (G-&gt;AT)'</a>
+<a name="115"><span class="lineNum">     115 </span>            :             GrB_Index nrows, ncols ;</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          2 :             OK (GrB_Matrix_nrows (&amp;nrows, G-&gt;A)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          2 :             OK (GrB_Matrix_nrows (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          2 :             OK (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          2 :             OK (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :             OK (GrB_Matrix_new (&amp;B, atype, nrows, ncols)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          2 :             OK (GrB_transpose (B, NULL, NULL, G-&gt;AT, NULL)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            :             // ensure B and G-&gt;A are the same</a>
+<a name="124"><span class="lineNum">     124 </span>            :             bool ok ;</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          2 :             OK (LAGraph_Matrix_IsEqual (&amp;ok, G-&gt;A, B, msg)) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          2 :             TEST_CHECK (ok) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          2 :             TEST_MSG (&quot;Test for G-&gt;A and B equal failed&quot;) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          2 :             OK (GrB_free (&amp;B)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :         }</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          3 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :     }</a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 : }</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="138"><span class="lineNum">     138 </span>            : // test_Cached_AT_brutal</a>
+<a name="139"><span class="lineNum">     139 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 : void test_Cached_AT_brutal (void)</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : {</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          3 :     {</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :         // load the matrix as A</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          4 :         int kind = files [k].kind ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          3 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          3 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span>            :         // create the G-&gt;AT cached property</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         13 :         LG_BRUTAL (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            :         // try to create it again; this should safely do nothing</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          3 :         LG_BRUTAL (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :         // check the result</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          3 :         if (kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :         {</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;AT == NULL) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            :         }</a>
+<a name="176"><span class="lineNum">     176 </span>            :         else</a>
+<a name="177"><span class="lineNum">     177 </span>            :         {</a>
+<a name="178"><span class="lineNum">     178 </span>            :             // ensure G-&gt;A and G-&gt;AT are transposed of each other;</a>
+<a name="179"><span class="lineNum">     179 </span>            :             // B = (G-&gt;AT)'</a>
+<a name="180"><span class="lineNum">     180 </span>            :             GrB_Index nrows, ncols ;</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          2 :             OK (GrB_Matrix_nrows (&amp;nrows, G-&gt;A)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          2 :             OK (GrB_Matrix_nrows (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          2 :             OK (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          2 :             OK (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          2 :             OK (GrB_Matrix_new (&amp;B, atype, nrows, ncols)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          2 :             OK (GrB_transpose (B, NULL, NULL, G-&gt;AT, NULL)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :             // ensure B and G-&gt;A are the same</a>
+<a name="189"><span class="lineNum">     189 </span>            :             bool ok ;</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         12 :             LG_BRUTAL (LAGraph_Matrix_IsEqual (&amp;ok, G-&gt;A, B, msg)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          2 :             TEST_CHECK (ok) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          2 :             TEST_MSG (&quot;Test for G-&gt;A and B equal failed&quot;) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          2 :             OK (GrB_free (&amp;B)) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :         }</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          3 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span>            :     }</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          1 : }</span></a>
+<a name="201"><span class="lineNum">     201 </span>            : #endif</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="205"><span class="lineNum">     205 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            : TEST_LIST =</a>
+<a name="208"><span class="lineNum">     208 </span>            : {</a>
+<a name="209"><span class="lineNum">     209 </span>            :     { &quot;test_AT&quot;, test_Cached_AT },</a>
+<a name="210"><span class="lineNum">     210 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="211"><span class="lineNum">     211 </span>            :     { &quot;test_AT_brutal&quot;, test_Cached_AT_brutal },</a>
+<a name="212"><span class="lineNum">     212 </span>            :     #endif</a>
+<a name="213"><span class="lineNum">     213 </span>            :     { NULL, NULL }</a>
+<a name="214"><span class="lineNum">     214 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_Degree.c.func-sort-c.html b/src/test/test_Cached_Degree.c.func-sort-c.html
new file mode 100644
index 0000000000..fbd7bc93ae
--- /dev/null
+++ b/src/test/test_Cached_Degree.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_Degree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_Degree.c<span style="font-size: 80%;"> (<a href="test_Cached_Degree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Cached_Degree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#240">test_Cached_Degree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#304">test_Cached_Degree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#50">check_degree</a></td>
+              <td class="coverFnHi">516</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_Degree.c.func.html b/src/test/test_Cached_Degree.c.func.html
new file mode 100644
index 0000000000..9352e7edb0
--- /dev/null
+++ b/src/test/test_Cached_Degree.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_Degree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_Degree.c<span style="font-size: 80%;"> (<a href="test_Cached_Degree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Cached_Degree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#50">check_degree</a></td>
+              <td class="coverFnHi">516</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#240">test_Cached_Degree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_Degree.c.gcov.html#304">test_Cached_Degree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_Degree.c.gcov.html b/src/test/test_Cached_Degree.c.gcov.html
new file mode 100644
index 0000000000..e394f95b1e
--- /dev/null
+++ b/src/test/test_Cached_Degree.c.gcov.html
@@ -0,0 +1,445 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_Degree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_Degree.c<span style="font-size: 80%;"> (source / <a href="test_Cached_Degree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Cached_Degree.c:  test LAGraph_Cached_*Degree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char filename [LEN+1] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // setup: start a test</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 : }</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // teardown: finalize a test</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 : }</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // check_degree: check a row or column degree vector</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        516 : void check_degree</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : (</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Vector Degree,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Index n,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     const int *degree</a>
+<a name="57"><span class="lineNum">      57 </span>            : )</a>
+<a name="58"><span class="lineNum">      58 </span>            : {</a>
+<a name="59"><span class="lineNum">      59 </span>            :     GrB_Index n2 ;</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">        516 :     OK (GrB_Vector_size (&amp;n2, Degree)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        516 :     TEST_CHECK (n == n2) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">       6048 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :     {</a>
+<a name="64"><span class="lineNum">      64 </span>            :         int64_t degk ;</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       5532 :         GrB_Info info = GrB_Vector_extractElement (&amp;degk, Degree, k) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       5532 :         TEST_CHECK (info == GrB_NO_VALUE || info == GrB_SUCCESS) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">       5532 :         if (info == GrB_NO_VALUE)</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :         {</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        156 :             TEST_CHECK (degree [k] == 0) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :         }</a>
+<a name="71"><span class="lineNum">      71 </span>            :         else</a>
+<a name="72"><span class="lineNum">      72 </span>            :         {</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">       5376 :             TEST_CHECK (degree [k] == degk) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :         }</a>
+<a name="75"><span class="lineNum">      75 </span>            :     }</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        516 : }</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : //------------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            : // test_Cached_Degree:  test LAGraph_Cached_*Degree</a>
+<a name="80"><span class="lineNum">      80 </span>            : //------------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            : typedef struct</a>
+<a name="83"><span class="lineNum">      83 </span>            : {</a>
+<a name="84"><span class="lineNum">      84 </span>            :     const char *name ;</a>
+<a name="85"><span class="lineNum">      85 </span>            :     const int out_deg [67] ;</a>
+<a name="86"><span class="lineNum">      86 </span>            :     const int in_deg [67] ;</a>
+<a name="87"><span class="lineNum">      87 </span>            : }</a>
+<a name="88"><span class="lineNum">      88 </span>            : matrix_info ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            : const matrix_info files [ ] =</a>
+<a name="91"><span class="lineNum">      91 </span>            : {</a>
+<a name="92"><span class="lineNum">      92 </span>            :     { &quot;A.mtx&quot;,</a>
+<a name="93"><span class="lineNum">      93 </span>            :         { 3, 5, 5, 5, 3, 4, 5,  },</a>
+<a name="94"><span class="lineNum">      94 </span>            :         { 3, 5, 5, 5, 3, 4, 5,  }, },</a>
+<a name="95"><span class="lineNum">      95 </span>            :      { &quot;LFAT5.mtx&quot;,</a>
+<a name="96"><span class="lineNum">      96 </span>            :         { 3, 2, 2, 4, 4, 3, 3, 5, 5, 2, 2, 4, 4, 3,  },</a>
+<a name="97"><span class="lineNum">      97 </span>            :         { 3, 2, 2, 4, 4, 3, 3, 5, 5, 2, 2, 4, 4, 3,  }, },</a>
+<a name="98"><span class="lineNum">      98 </span>            :      { &quot;cover.mtx&quot;,</a>
+<a name="99"><span class="lineNum">      99 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="100"><span class="lineNum">     100 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="101"><span class="lineNum">     101 </span>            :      { &quot;cover_structure.mtx&quot;,</a>
+<a name="102"><span class="lineNum">     102 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="103"><span class="lineNum">     103 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="104"><span class="lineNum">     104 </span>            :      { &quot;full.mtx&quot;,</a>
+<a name="105"><span class="lineNum">     105 </span>            :         { 3, 3, 3,  },</a>
+<a name="106"><span class="lineNum">     106 </span>            :         { 3, 3, 3,  }, },</a>
+<a name="107"><span class="lineNum">     107 </span>            :      { &quot;full_symmetric.mtx&quot;,</a>
+<a name="108"><span class="lineNum">     108 </span>            :         { 4, 4, 4, 4,  },</a>
+<a name="109"><span class="lineNum">     109 </span>            :         { 4, 4, 4, 4,  }, },</a>
+<a name="110"><span class="lineNum">     110 </span>            :      { &quot;karate.mtx&quot;,</a>
+<a name="111"><span class="lineNum">     111 </span>            :         { 16, 9, 10, 6, 3, 4, 4, 4, 5, 2, 3, 1, 2, 5, 2, 2, 2, 2, 2, 3,</a>
+<a name="112"><span class="lineNum">     112 </span>            :           2, 2, 2, 5, 3, 3, 2, 4, 3, 4, 4, 6, 12, 17,  },</a>
+<a name="113"><span class="lineNum">     113 </span>            :         { 16, 9, 10, 6, 3, 4, 4, 4, 5, 2, 3, 1, 2, 5, 2, 2, 2, 2, 2, 3,</a>
+<a name="114"><span class="lineNum">     114 </span>            :           2, 2, 2, 5, 3, 3, 2, 4, 3, 4, 4, 6, 12, 17,  }, },</a>
+<a name="115"><span class="lineNum">     115 </span>            :      { &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="116"><span class="lineNum">     116 </span>            :         { 3, 2, 2, 2, 3, 2, 3, 1,  },</a>
+<a name="117"><span class="lineNum">     117 </span>            :         { 2, 2, 2, 1, 3, 4, 3, 1,  }, },</a>
+<a name="118"><span class="lineNum">     118 </span>            :      { &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="119"><span class="lineNum">     119 </span>            :         { 3, 2, 2, 3, 4, 3, 3, 4,  },</a>
+<a name="120"><span class="lineNum">     120 </span>            :         { 3, 2, 2, 3, 4, 3, 3, 4,  }, },</a>
+<a name="121"><span class="lineNum">     121 </span>            :      { &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="122"><span class="lineNum">     122 </span>            :         { 2, 3, 4, 0, 3, 2, 1, 1, 1, 0,  },</a>
+<a name="123"><span class="lineNum">     123 </span>            :         { 2, 0, 3, 5, 3, 0, 0, 2, 0, 2,  }, },</a>
+<a name="124"><span class="lineNum">     124 </span>            :      { &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="125"><span class="lineNum">     125 </span>            :         { 2, 3, 4, 0, 3, 2, 1, 1, 1, 0,  },</a>
+<a name="126"><span class="lineNum">     126 </span>            :         { 2, 0, 3, 5, 3, 0, 0, 2, 0, 2,  }, },</a>
+<a name="127"><span class="lineNum">     127 </span>            :      { &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="128"><span class="lineNum">     128 </span>            :         { 2, 3, 4, 0, 3, 2, 1, 1, 1, 0,  },</a>
+<a name="129"><span class="lineNum">     129 </span>            :         { 2, 0, 3, 5, 3, 0, 0, 2, 0, 2,  }, },</a>
+<a name="130"><span class="lineNum">     130 </span>            :      { &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="131"><span class="lineNum">     131 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  },</a>
+<a name="132"><span class="lineNum">     132 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  }, },</a>
+<a name="133"><span class="lineNum">     133 </span>            :      { &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="134"><span class="lineNum">     134 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  },</a>
+<a name="135"><span class="lineNum">     135 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  }, },</a>
+<a name="136"><span class="lineNum">     136 </span>            :      { &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="137"><span class="lineNum">     137 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  },</a>
+<a name="138"><span class="lineNum">     138 </span>            :         { 2, 4, 2, 3, 5, 2, 3, 2, 1,  }, },</a>
+<a name="139"><span class="lineNum">     139 </span>            :      { &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="140"><span class="lineNum">     140 </span>            :         { 3, 3, 5, 5, 5, 2, 1, 3, 1, 2,  },</a>
+<a name="141"><span class="lineNum">     141 </span>            :         { 3, 3, 5, 5, 5, 2, 1, 3, 1, 2,  }, },</a>
+<a name="142"><span class="lineNum">     142 </span>            :      { &quot;matrix_bool.mtx&quot;,</a>
+<a name="143"><span class="lineNum">     143 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="144"><span class="lineNum">     144 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="145"><span class="lineNum">     145 </span>            :      { &quot;matrix_fp32.mtx&quot;,</a>
+<a name="146"><span class="lineNum">     146 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="147"><span class="lineNum">     147 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="148"><span class="lineNum">     148 </span>            :      { &quot;matrix_fp32_structure.mtx&quot;,</a>
+<a name="149"><span class="lineNum">     149 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="150"><span class="lineNum">     150 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="151"><span class="lineNum">     151 </span>            :      { &quot;matrix_fp64.mtx&quot;,</a>
+<a name="152"><span class="lineNum">     152 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="153"><span class="lineNum">     153 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="154"><span class="lineNum">     154 </span>            :      { &quot;matrix_int16.mtx&quot;,</a>
+<a name="155"><span class="lineNum">     155 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="156"><span class="lineNum">     156 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="157"><span class="lineNum">     157 </span>            :      { &quot;matrix_int32.mtx&quot;,</a>
+<a name="158"><span class="lineNum">     158 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="159"><span class="lineNum">     159 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="160"><span class="lineNum">     160 </span>            :      { &quot;matrix_int64.mtx&quot;,</a>
+<a name="161"><span class="lineNum">     161 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="162"><span class="lineNum">     162 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="163"><span class="lineNum">     163 </span>            :      { &quot;matrix_int8.mtx&quot;,</a>
+<a name="164"><span class="lineNum">     164 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="165"><span class="lineNum">     165 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="166"><span class="lineNum">     166 </span>            :      { &quot;matrix_uint16.mtx&quot;,</a>
+<a name="167"><span class="lineNum">     167 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="168"><span class="lineNum">     168 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="169"><span class="lineNum">     169 </span>            :      { &quot;matrix_uint32.mtx&quot;,</a>
+<a name="170"><span class="lineNum">     170 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="171"><span class="lineNum">     171 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="172"><span class="lineNum">     172 </span>            :      { &quot;matrix_uint64.mtx&quot;,</a>
+<a name="173"><span class="lineNum">     173 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="174"><span class="lineNum">     174 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="175"><span class="lineNum">     175 </span>            :      { &quot;matrix_uint8.mtx&quot;,</a>
+<a name="176"><span class="lineNum">     176 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="177"><span class="lineNum">     177 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="178"><span class="lineNum">     178 </span>            :      { &quot;msf1.mtx&quot;,</a>
+<a name="179"><span class="lineNum">     179 </span>            :         { 2, 2, 1, 1, 1, 1,  },</a>
+<a name="180"><span class="lineNum">     180 </span>            :         { 1, 1, 2, 2, 0, 2,  }, },</a>
+<a name="181"><span class="lineNum">     181 </span>            :      { &quot;msf2.mtx&quot;,</a>
+<a name="182"><span class="lineNum">     182 </span>            :         { 2, 3, 3, 2, 1, 1, 0, 0,  },</a>
+<a name="183"><span class="lineNum">     183 </span>            :         { 0, 1, 1, 1, 2, 2, 2, 3,  }, },</a>
+<a name="184"><span class="lineNum">     184 </span>            :      { &quot;msf3.mtx&quot;,</a>
+<a name="185"><span class="lineNum">     185 </span>            :         { 2, 2, 2, 1, 0,  },</a>
+<a name="186"><span class="lineNum">     186 </span>            :         { 0, 1, 1, 2, 3,  }, },</a>
+<a name="187"><span class="lineNum">     187 </span>            :      { &quot;structure.mtx&quot;,</a>
+<a name="188"><span class="lineNum">     188 </span>            :         { 2, 2, 1, 2, 1, 1, 3,  },</a>
+<a name="189"><span class="lineNum">     189 </span>            :         { 1, 1, 3, 2, 2, 2, 1,  }, },</a>
+<a name="190"><span class="lineNum">     190 </span>            :      { &quot;sample.mtx&quot;,</a>
+<a name="191"><span class="lineNum">     191 </span>            :         { 3, 2, 1, 2, 2, 1, 1, 0,  },</a>
+<a name="192"><span class="lineNum">     192 </span>            :         { 0, 1, 3, 1, 3, 1, 1, 2,  }, },</a>
+<a name="193"><span class="lineNum">     193 </span>            :      { &quot;sample2.mtx&quot;,</a>
+<a name="194"><span class="lineNum">     194 </span>            :         { 2, 3, 4, 3, 5, 5, 3, 3,  },</a>
+<a name="195"><span class="lineNum">     195 </span>            :         { 2, 3, 4, 3, 5, 5, 3, 3,  }, },</a>
+<a name="196"><span class="lineNum">     196 </span>            :      { &quot;skew_fp32.mtx&quot;,</a>
+<a name="197"><span class="lineNum">     197 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="198"><span class="lineNum">     198 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="199"><span class="lineNum">     199 </span>            :      { &quot;skew_fp64.mtx&quot;,</a>
+<a name="200"><span class="lineNum">     200 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="201"><span class="lineNum">     201 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="202"><span class="lineNum">     202 </span>            :      { &quot;skew_int16.mtx&quot;,</a>
+<a name="203"><span class="lineNum">     203 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="204"><span class="lineNum">     204 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="205"><span class="lineNum">     205 </span>            :      { &quot;skew_int32.mtx&quot;,</a>
+<a name="206"><span class="lineNum">     206 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="207"><span class="lineNum">     207 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="208"><span class="lineNum">     208 </span>            :      { &quot;skew_int64.mtx&quot;,</a>
+<a name="209"><span class="lineNum">     209 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="210"><span class="lineNum">     210 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="211"><span class="lineNum">     211 </span>            :      { &quot;skew_int8.mtx&quot;,</a>
+<a name="212"><span class="lineNum">     212 </span>            :         { 3, 3, 3, 4, 3, 4,  },</a>
+<a name="213"><span class="lineNum">     213 </span>            :         { 3, 3, 3, 4, 3, 4,  }, },</a>
+<a name="214"><span class="lineNum">     214 </span>            :      { &quot;tree-example.mtx&quot;,</a>
+<a name="215"><span class="lineNum">     215 </span>            :         { 1, 1, 2, 3, 2, 1,  },</a>
+<a name="216"><span class="lineNum">     216 </span>            :         { 1, 1, 2, 3, 2, 1,  }, },</a>
+<a name="217"><span class="lineNum">     217 </span>            :      { &quot;west0067.mtx&quot;,</a>
+<a name="218"><span class="lineNum">     218 </span>            :         { 3, 3, 3, 3, 5, 5, 5, 5, 5, 6, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5,</a>
+<a name="219"><span class="lineNum">     219 </span>            :           3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5,</a>
+<a name="220"><span class="lineNum">     220 </span>            :           5, 5, 5, 5, 6, 3, 3, 3, 3, 4, 4, 4, 4, 4, 6, 1, 5, 5, 5, 5,</a>
+<a name="221"><span class="lineNum">     221 </span>            :           5, 5, 5, 5, 5, 5, 5,  },</a>
+<a name="222"><span class="lineNum">     222 </span>            :         { 10, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 2, 5, 5, 5, 5, 4, 5, 2, 10,</a>
+<a name="223"><span class="lineNum">     223 </span>            :           3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 10, 3, 3, 3, 3, 3, 10, 5, 5, 5,</a>
+<a name="224"><span class="lineNum">     224 </span>            :           5, 4, 5, 4, 4, 4, 4, 3, 10, 3, 3, 3, 3, 3, 10, 5, 5, 5, 5, 4,</a>
+<a name="225"><span class="lineNum">     225 </span>            :           5, 4, 4, 4, 4, 3, 5,  }, },</a>
+<a name="226"><span class="lineNum">     226 </span>            :      { &quot;west0067_jumbled.mtx&quot;,</a>
+<a name="227"><span class="lineNum">     227 </span>            :         { 3, 3, 3, 3, 5, 5, 5, 5, 5, 6, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5,</a>
+<a name="228"><span class="lineNum">     228 </span>            :           3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 3, 3, 3, 3, 5,</a>
+<a name="229"><span class="lineNum">     229 </span>            :           5, 5, 5, 5, 6, 3, 3, 3, 3, 4, 4, 4, 4, 4, 6, 1, 5, 5, 5, 5,</a>
+<a name="230"><span class="lineNum">     230 </span>            :           5, 5, 5, 5, 5, 5, 5,  },</a>
+<a name="231"><span class="lineNum">     231 </span>            :         { 10, 4, 4, 4, 4, 3, 5, 3, 3, 3, 3, 2, 5, 5, 5, 5, 4, 5, 2, 10,</a>
+<a name="232"><span class="lineNum">     232 </span>            :           3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 10, 3, 3, 3, 3, 3, 10, 5, 5, 5,</a>
+<a name="233"><span class="lineNum">     233 </span>            :           5, 4, 5, 4, 4, 4, 4, 3, 10, 3, 3, 3, 3, 3, 10, 5, 5, 5, 5, 4,</a>
+<a name="234"><span class="lineNum">     234 </span>            :           5, 4, 4, 4, 4, 3, 5,  }, },</a>
+<a name="235"><span class="lineNum">     235 </span>            :     { &quot;&quot;, { 0 }, { 0 }}</a>
+<a name="236"><span class="lineNum">     236 </span>            : } ;</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="239"><span class="lineNum">     239 </span>            : // test_Cached_Degree</a>
+<a name="240"><span class="lineNum">     240 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 : void test_Cached_Degree (void)</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : {</a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">         43 :     {</span></a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span>            :         // load the matrix as A</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         44 :         const char *aname = files [k].name ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         44 :         if (strlen (aname) == 0) break;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">         43 :         const int *out_deg = files [k].out_deg ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">         43 :         const int *in_deg = files [k].in_deg ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">         43 :         TEST_CASE (aname) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         43 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">         43 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         43 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         43 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         43 :         OK (fclose (f)) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">         43 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span>            : </a>
+<a name="262"><span class="lineNum">     262 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">         43 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         43 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">        172 :         for (int trial = 0 ; trial &lt;= 2 ; trial++)</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :         {</a>
+<a name="268"><span class="lineNum">     268 </span>            :             // create the G-&gt;out_degree cached property and check it</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">        129 :             OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :             GrB_Index n ;</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        129 :             OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        129 :             check_degree (G-&gt;out_degree, n, out_deg) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">        129 :             if (trial == 2)</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :             {</a>
+<a name="276"><span class="lineNum">     276 </span>            :                 // use G-&gt;AT to compute G-&gt;in_degree</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">         43 :                 OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">         43 :                 OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="279"><span class="lineNum">     279 </span>            :             }</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span>            :             // create the G-&gt;in_degree cached property and check it</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">        129 :             OK (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">        129 :             OK (GrB_Matrix_ncols (&amp;n, G-&gt;A)) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">        129 :             check_degree (G-&gt;in_degree, n, in_deg) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :         }</a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">         43 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :     }</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            :     // check error handling</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     int status = LAGraph_Cached_OutDegree (NULL, msg) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     printf (&quot;\nstatus: %d, msg: %s\n&quot;, status, msg) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_NULL_POINTER) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     status = LAGraph_Cached_InDegree (NULL, msg) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          1 :     printf (&quot;status: %d, msg: %s\n&quot;, status, msg) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_NULL_POINTER) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span>            : </a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">          1 : }</span></a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="302"><span class="lineNum">     302 </span>            : // test_Cached_Degree_brutal</a>
+<a name="303"><span class="lineNum">     303 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          1 : void test_Cached_Degree_brutal (void)</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : {</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         43 :     {</span></a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span>            :         // load the matrix as A</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">         44 :         const char *aname = files [k].name ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">         44 :         if (strlen (aname) == 0) break;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">         43 :         const int *out_deg = files [k].out_deg ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">         43 :         const int *in_deg = files [k].in_deg ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">         43 :         TEST_CASE (aname) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">         43 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">         43 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">         43 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">         43 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">         43 :         OK (fclose (f)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">         43 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">         43 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">         43 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span>            : </a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        172 :         for (int trial = 0 ; trial &lt;= 2 ; trial++)</span></a>
+<a name="331"><span class="lineNum">     331 </span>            :         {</a>
+<a name="332"><span class="lineNum">     332 </span>            :             // create the G-&gt;out_degree cached property and check it</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">        425 :             LG_BRUTAL (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :             GrB_Index n ;</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">        129 :             OK (GrB_Matrix_nrows (&amp;n, G-&gt;A)) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">        129 :             check_degree (G-&gt;out_degree, n, out_deg) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">        129 :             if (trial == 2)</span></a>
+<a name="339"><span class="lineNum">     339 </span>            :             {</a>
+<a name="340"><span class="lineNum">     340 </span>            :                 // use G-&gt;AT to compute G-&gt;in_degree</a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">         43 :                 OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">         43 :                 OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="343"><span class="lineNum">     343 </span>            :             }</a>
+<a name="344"><span class="lineNum">     344 </span>            : </a>
+<a name="345"><span class="lineNum">     345 </span>            :             // create the G-&gt;in_degree cached property and check it</a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        732 :             LG_BRUTAL (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">        129 :             OK (GrB_Matrix_ncols (&amp;n, G-&gt;A)) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">        129 :             check_degree (G-&gt;in_degree, n, in_deg) ;</span></a>
+<a name="349"><span class="lineNum">     349 </span>            :         }</a>
+<a name="350"><span class="lineNum">     350 </span>            : </a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">         43 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            :     }</a>
+<a name="353"><span class="lineNum">     353 </span>            : </a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">          1 : }</span></a>
+<a name="356"><span class="lineNum">     356 </span>            : #endif</a>
+<a name="357"><span class="lineNum">     357 </span>            : </a>
+<a name="358"><span class="lineNum">     358 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="359"><span class="lineNum">     359 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="360"><span class="lineNum">     360 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span>            : TEST_LIST =</a>
+<a name="363"><span class="lineNum">     363 </span>            : {</a>
+<a name="364"><span class="lineNum">     364 </span>            :     { &quot;test_Degree&quot;, test_Cached_Degree },</a>
+<a name="365"><span class="lineNum">     365 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="366"><span class="lineNum">     366 </span>            :     { &quot;test_Degree_brutal&quot;, test_Cached_Degree_brutal },</a>
+<a name="367"><span class="lineNum">     367 </span>            :     #endif</a>
+<a name="368"><span class="lineNum">     368 </span>            :     { NULL, NULL }</a>
+<a name="369"><span class="lineNum">     369 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_NDiag.c.func-sort-c.html b/src/test/test_Cached_NDiag.c.func-sort-c.html
new file mode 100644
index 0000000000..9b4ef44586
--- /dev/null
+++ b/src/test/test_Cached_NDiag.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_NDiag.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_NDiag.c<span style="font-size: 80%;"> (<a href="test_Cached_NDiag.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Cached_NDiag.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#97">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#106">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#115">test_Cached_NSelfEdges</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#170">test_Cached_NSelfEdges_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_NDiag.c.func.html b/src/test/test_Cached_NDiag.c.func.html
new file mode 100644
index 0000000000..83a350a527
--- /dev/null
+++ b/src/test/test_Cached_NDiag.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_NDiag.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_NDiag.c<span style="font-size: 80%;"> (<a href="test_Cached_NDiag.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Cached_NDiag.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#97">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#106">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#115">test_Cached_NSelfEdges</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_NDiag.c.gcov.html#170">test_Cached_NSelfEdges_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_NDiag.c.gcov.html b/src/test/test_Cached_NDiag.c.gcov.html
new file mode 100644
index 0000000000..dd39a3ee5f
--- /dev/null
+++ b/src/test/test_Cached_NDiag.c.gcov.html
@@ -0,0 +1,299 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_NDiag.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_NDiag.c<span style="font-size: 80%;"> (source / <a href="test_Cached_NDiag.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Cached_NSelfEdges.c:  test LAGraph_Cached_NSelfEdges</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Info info ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : // test matrices</a>
+<a name="33"><span class="lineNum">      33 </span>            : //------------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : typedef struct</a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span>            :     GrB_Index nself_edges ;</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const char *name ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : }</a>
+<a name="40"><span class="lineNum">      40 </span>            : matrix_info ;</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : const matrix_info files [ ] =</a>
+<a name="43"><span class="lineNum">      43 </span>            : {</a>
+<a name="44"><span class="lineNum">      44 </span>            :      0, &quot;A.mtx&quot;,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     14, &quot;LFAT5.mtx&quot;,</a>
+<a name="46"><span class="lineNum">      46 </span>            :   2003, &quot;bcsstk13.mtx&quot;,</a>
+<a name="47"><span class="lineNum">      47 </span>            : //   3, &quot;complex.mtx&quot;,</a>
+<a name="48"><span class="lineNum">      48 </span>            :      0, &quot;cover.mtx&quot;,</a>
+<a name="49"><span class="lineNum">      49 </span>            :      0, &quot;cover_structure.mtx&quot;,</a>
+<a name="50"><span class="lineNum">      50 </span>            :   2500, &quot;cryg2500.mtx&quot;,</a>
+<a name="51"><span class="lineNum">      51 </span>            :      3, &quot;full.mtx&quot;,</a>
+<a name="52"><span class="lineNum">      52 </span>            :      4, &quot;full_symmetric.mtx&quot;,</a>
+<a name="53"><span class="lineNum">      53 </span>            :   1138, &quot;jagmesh7.mtx&quot;,</a>
+<a name="54"><span class="lineNum">      54 </span>            :      0, &quot;karate.mtx&quot;,</a>
+<a name="55"><span class="lineNum">      55 </span>            :      0, &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="56"><span class="lineNum">      56 </span>            :      0, &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="57"><span class="lineNum">      57 </span>            :      0, &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="58"><span class="lineNum">      58 </span>            :      0, &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="59"><span class="lineNum">      59 </span>            :      0, &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="60"><span class="lineNum">      60 </span>            :      0, &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="61"><span class="lineNum">      61 </span>            :      0, &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :      0, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :      0, &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :      0, &quot;matrix_bool.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :      0, &quot;matrix_fp32.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :      0, &quot;matrix_fp32_structure.mtx&quot;,</a>
+<a name="67"><span class="lineNum">      67 </span>            :      0, &quot;matrix_fp64.mtx&quot;,</a>
+<a name="68"><span class="lineNum">      68 </span>            :      0, &quot;matrix_int16.mtx&quot;,</a>
+<a name="69"><span class="lineNum">      69 </span>            :      0, &quot;matrix_int32.mtx&quot;,</a>
+<a name="70"><span class="lineNum">      70 </span>            :      0, &quot;matrix_int64.mtx&quot;,</a>
+<a name="71"><span class="lineNum">      71 </span>            :      0, &quot;matrix_int8.mtx&quot;,</a>
+<a name="72"><span class="lineNum">      72 </span>            :      0, &quot;matrix_uint16.mtx&quot;,</a>
+<a name="73"><span class="lineNum">      73 </span>            :      0, &quot;matrix_uint32.mtx&quot;,</a>
+<a name="74"><span class="lineNum">      74 </span>            :      0, &quot;matrix_uint64.mtx&quot;,</a>
+<a name="75"><span class="lineNum">      75 </span>            :      0, &quot;matrix_uint8.mtx&quot;,</a>
+<a name="76"><span class="lineNum">      76 </span>            :      0, &quot;msf1.mtx&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :      0, &quot;msf2.mtx&quot;,</a>
+<a name="78"><span class="lineNum">      78 </span>            :      0, &quot;msf3.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :   1000, &quot;olm1000.mtx&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :      0, &quot;structure.mtx&quot;,</a>
+<a name="81"><span class="lineNum">      81 </span>            :      0, &quot;sample.mtx&quot;,</a>
+<a name="82"><span class="lineNum">      82 </span>            :      0, &quot;sample2.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :      0, &quot;skew_fp32.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :      0, &quot;skew_fp64.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :      0, &quot;skew_int16.mtx&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            :      0, &quot;skew_int32.mtx&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            :      0, &quot;skew_int64.mtx&quot;,</a>
+<a name="88"><span class="lineNum">      88 </span>            :      0, &quot;skew_int8.mtx&quot;,</a>
+<a name="89"><span class="lineNum">      89 </span>            :      0, &quot;tree-example.mtx&quot;,</a>
+<a name="90"><span class="lineNum">      90 </span>            :      2, &quot;west0067.mtx&quot;,</a>
+<a name="91"><span class="lineNum">      91 </span>            :      2, &quot;west0067_jumbled.mtx&quot;,</a>
+<a name="92"><span class="lineNum">      92 </span>            :      0, &quot;&quot;</a>
+<a name="93"><span class="lineNum">      93 </span>            : } ;</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            : //------------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            : // setup: start a test</a>
+<a name="97"><span class="lineNum">      97 </span>            : //------------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 : }</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : //------------------------------------------------------------------------------</a>
+<a name="105"><span class="lineNum">     105 </span>            : // teardown: finalize a test</a>
+<a name="106"><span class="lineNum">     106 </span>            : //------------------------------------------------------------------------------</a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : {</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 : }</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            : //------------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : // test_Cached_NSelfEdges:  test LAGraph_Cached_NSelfEdges</a>
+<a name="115"><span class="lineNum">     115 </span>            : //------------------------------------------------------------------------------</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          1 : void test_Cached_NSelfEdges (void)</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : {</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="121"><span class="lineNum">     121 </span>            :     // start up the test</a>
+<a name="122"><span class="lineNum">     122 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         47 :     {</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :         //----------------------------------------------------------------------</a>
+<a name="130"><span class="lineNum">     130 </span>            :         // load in the kth file</a>
+<a name="131"><span class="lineNum">     131 </span>            :         //----------------------------------------------------------------------</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         48 :         const char *aname = files [k].name ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         48 :         if (strlen (aname) == 0) break;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         47 :         TEST_CASE (aname) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         47 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         47 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         47 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         47 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         47 :         OK (fclose (f)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         47 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :         //----------------------------------------------------------------------</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // construct a directed graph and count self-edges</a>
+<a name="145"><span class="lineNum">     145 </span>            :         //----------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         47 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         47 :         OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         47 :         TEST_CHECK (G-&gt;nself_edges == files [k].nself_edges) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :         //----------------------------------------------------------------------</a>
+<a name="152"><span class="lineNum">     152 </span>            :         // free the graph</a>
+<a name="153"><span class="lineNum">     153 </span>            :         //----------------------------------------------------------------------</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         47 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :     }</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_Cached_NSelfEdges (NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            :     // finish the test</a>
+<a name="162"><span class="lineNum">     162 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 : }</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span>            : //------------------------------------------------------------------------------</a>
+<a name="168"><span class="lineNum">     168 </span>            : // test_Cached_NSelfEdges_brutal</a>
+<a name="169"><span class="lineNum">     169 </span>            : //------------------------------------------------------------------------------</a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 : void test_Cached_NSelfEdges_brutal (void)</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : {</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         47 :     {</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :         //----------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            :         // load in the kth file</a>
+<a name="181"><span class="lineNum">     181 </span>            :         //----------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         48 :         const char *aname = files [k].name ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         48 :         if (strlen (aname) == 0) break;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         47 :         TEST_CASE (aname) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         47 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         47 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         47 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         47 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         47 :         OK (fclose (f)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">         47 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :         //----------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            :         // construct a directed graph and count self-edges</a>
+<a name="195"><span class="lineNum">     195 </span>            :         //----------------------------------------------------------------------</a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         47 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">        493 :         LG_BRUTAL (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         47 :         TEST_CHECK (G-&gt;nself_edges == files [k].nself_edges) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span>            :         //----------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            :         // free the graph</a>
+<a name="203"><span class="lineNum">     203 </span>            :         //----------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">         47 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     }</a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 : }</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : #endif</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="213"><span class="lineNum">     213 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="214"><span class="lineNum">     214 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            : TEST_LIST =</a>
+<a name="217"><span class="lineNum">     217 </span>            : {</a>
+<a name="218"><span class="lineNum">     218 </span>            :     { &quot;NSelfEdges&quot;, test_Cached_NSelfEdges },</a>
+<a name="219"><span class="lineNum">     219 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="220"><span class="lineNum">     220 </span>            :     { &quot;NSelfEdges_brutal&quot;, test_Cached_NSelfEdges_brutal },</a>
+<a name="221"><span class="lineNum">     221 </span>            :     #endif</a>
+<a name="222"><span class="lineNum">     222 </span>            :     { NULL, NULL }</a>
+<a name="223"><span class="lineNum">     223 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_SymmetricStructure.c.func-sort-c.html b/src/test/test_Cached_SymmetricStructure.c.func-sort-c.html
new file mode 100644
index 0000000000..5d936e6584
--- /dev/null
+++ b/src/test/test_Cached_SymmetricStructure.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_SymmetricStructure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_SymmetricStructure.c<span style="font-size: 80%;"> (<a href="test_Cached_SymmetricStructure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Cached_SymmetricStructure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#117">test_Cached_Symmetric_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#201">test_Cached_Symmetric_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_SymmetricStructure.c.func.html b/src/test/test_Cached_SymmetricStructure.c.func.html
new file mode 100644
index 0000000000..4e5751f768
--- /dev/null
+++ b/src/test/test_Cached_SymmetricStructure.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_SymmetricStructure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_SymmetricStructure.c<span style="font-size: 80%;"> (<a href="test_Cached_SymmetricStructure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Cached_SymmetricStructure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#117">test_Cached_Symmetric_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Cached_SymmetricStructure.c.gcov.html#201">test_Cached_Symmetric_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Cached_SymmetricStructure.c.gcov.html b/src/test/test_Cached_SymmetricStructure.c.gcov.html
new file mode 100644
index 0000000000..67e1bf8eb4
--- /dev/null
+++ b/src/test/test_Cached_SymmetricStructure.c.gcov.html
@@ -0,0 +1,365 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Cached_SymmetricStructure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Cached_SymmetricStructure.c<span style="font-size: 80%;"> (source / <a href="test_Cached_SymmetricStructure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntry">79</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Cached_Symmetric_Structure.c</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char filename [LEN+1] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // setup: start a test</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 : }</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // teardown: finalize a test</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 : }</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // test_Cached_Symmetric_Structure:</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : typedef struct</a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span>            :     bool symmetric_structure ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :     bool symmetric_values ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :     const char *name ;</a>
+<a name="57"><span class="lineNum">      57 </span>            : }</a>
+<a name="58"><span class="lineNum">      58 </span>            : matrix_info ;</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : const matrix_info files [ ] =</a>
+<a name="61"><span class="lineNum">      61 </span>            : {</a>
+<a name="62"><span class="lineNum">      62 </span>            :     1, 1, &quot;A.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     1, 1, &quot;LFAT5.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     1, 1, &quot;bcsstk13.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     1, 0, &quot;comments_full.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     0, 0, &quot;comments_west0067.mtx&quot;,</a>
+<a name="67"><span class="lineNum">      67 </span>            : //  1, 0, &quot;complex.mtx&quot;,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     0, 0, &quot;cover.mtx&quot;,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     0, 0, &quot;cover_structure.mtx&quot;,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     0, 0, &quot;cryg2500.mtx&quot;,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     0, 0, &quot;empty.mtx&quot;,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     1, 0, &quot;full.mtx&quot;,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     1, 1, &quot;full_symmetric.mtx&quot;,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     1, 1, &quot;jagmesh7.mtx&quot;,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     1, 1, &quot;karate.mtx&quot;,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     0, 0, &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     1, 1, &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     0, 0, &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     0, 0, &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     0, 0, &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     1, 1, &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     1, 1, &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     1, 1, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     1, 1, &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     0, 0, &quot;lp_afiro.mtx&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     0, 0, &quot;lp_afiro_structure.mtx&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     0, 0, &quot;matrix_bool.mtx&quot;,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     0, 0, &quot;matrix_fp32.mtx&quot;,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     0, 0, &quot;matrix_fp32_structure.mtx&quot;,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     0, 0, &quot;matrix_fp64.mtx&quot;,</a>
+<a name="91"><span class="lineNum">      91 </span>            :     0, 0, &quot;matrix_int16.mtx&quot;,</a>
+<a name="92"><span class="lineNum">      92 </span>            :     0, 0, &quot;matrix_int32.mtx&quot;,</a>
+<a name="93"><span class="lineNum">      93 </span>            :     0, 0, &quot;matrix_int64.mtx&quot;,</a>
+<a name="94"><span class="lineNum">      94 </span>            :     0, 0, &quot;matrix_int8.mtx&quot;,</a>
+<a name="95"><span class="lineNum">      95 </span>            :     0, 0, &quot;matrix_uint16.mtx&quot;,</a>
+<a name="96"><span class="lineNum">      96 </span>            :     0, 0, &quot;matrix_uint32.mtx&quot;,</a>
+<a name="97"><span class="lineNum">      97 </span>            :     0, 0, &quot;matrix_uint64.mtx&quot;,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     0, 0, &quot;matrix_uint8.mtx&quot;,</a>
+<a name="99"><span class="lineNum">      99 </span>            :     0, 0, &quot;msf1.mtx&quot;,</a>
+<a name="100"><span class="lineNum">     100 </span>            :     0, 0, &quot;msf2.mtx&quot;,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     0, 0, &quot;msf3.mtx&quot;,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     0, 0, &quot;olm1000.mtx&quot;,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     0, 0, &quot;structure.mtx&quot;,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     0, 0, &quot;sample.mtx&quot;,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     1, 1, &quot;sample2.mtx&quot;,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     1, 0, &quot;skew_fp32.mtx&quot;,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     1, 0, &quot;skew_fp64.mtx&quot;,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     1, 0, &quot;skew_int16.mtx&quot;,</a>
+<a name="109"><span class="lineNum">     109 </span>            :     1, 0, &quot;skew_int32.mtx&quot;,</a>
+<a name="110"><span class="lineNum">     110 </span>            :     1, 0, &quot;skew_int64.mtx&quot;,</a>
+<a name="111"><span class="lineNum">     111 </span>            :     1, 0, &quot;skew_int8.mtx&quot;,</a>
+<a name="112"><span class="lineNum">     112 </span>            :     0, 0, &quot;sources_7.mtx&quot;,</a>
+<a name="113"><span class="lineNum">     113 </span>            :     1, 1, &quot;tree-example.mtx&quot;,</a>
+<a name="114"><span class="lineNum">     114 </span>            :     0, 0, &quot;west0067.mtx&quot;,</a>
+<a name="115"><span class="lineNum">     115 </span>            :     0, 0, &quot;west0067_jumbled.mtx&quot;,</a>
+<a name="116"><span class="lineNum">     116 </span>            :     0, 0, &quot;&quot;</a>
+<a name="117"><span class="lineNum">     117 </span>            : } ;</a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 : void test_Cached_Symmetric_Structure (void)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : {</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         53 :     {</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :         // load the matrix as A</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         54 :         const char *aname = files [k].name ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         54 :         bool sym_structure = files [k].symmetric_structure ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         54 :         bool sym_values  = files [k].symmetric_values ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         54 :         if (strlen (aname) == 0) break;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :         // printf (&quot;%s:\n&quot;, aname) ;</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         53 :         TEST_CASE (aname) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         53 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         53 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         53 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         53 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         53 :         OK (fclose (f)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         53 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :         // construct a directed graph G with adjacency matrix A</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         53 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         53 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            :         // compute the is_symmetric_structure cached property</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         53 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :         // check the result</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         53 :         if (sym_structure)</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :         {</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         21 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :         }</a>
+<a name="152"><span class="lineNum">     152 </span>            :         else</a>
+<a name="153"><span class="lineNum">     153 </span>            :         {</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         32 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_FALSE) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :         }</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            :         // delete all cached properties</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         53 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            :         // try again, but precompute G-&gt;AT</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         53 :         OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         53 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            :         // check the result</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         53 :         if (sym_structure)</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :         {</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         21 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :         }</a>
+<a name="169"><span class="lineNum">     169 </span>            :         else</a>
+<a name="170"><span class="lineNum">     170 </span>            :         {</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         32 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_FALSE) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :         }</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :         // delete all cached properties</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         53 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :         // change the graph to directed, if matrix is symmetric</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         53 :         if (sym_values)</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :         {</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         13 :             G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :             // recompute the symmetry cached property</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         13 :             OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         13 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :         }</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         53 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span>            :     }</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :     // check error handling</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     int status = LAGraph_Cached_IsSymmetricStructure (NULL, msg) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     printf (&quot;\nstatus: %d, msg: %s\n&quot;, status, msg) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_NULL_POINTER) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 : }</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            : // test_Cached_Symmetric_Structure_brutal</a>
+<a name="200"><span class="lineNum">     200 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 : void test_Cached_Symmetric_Structure_brutal (void)</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : {</a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         53 :     {</span></a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span>            :         // load the matrix as A</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         54 :         const char *aname = files [k].name ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         54 :         bool sym_structure = files [k].symmetric_structure ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         54 :         bool sym_values  = files [k].symmetric_values ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">         54 :         if (strlen (aname) == 0) break;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            :         // printf (&quot;%s:\n&quot;, aname) ;</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         53 :         TEST_CASE (aname) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         53 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         53 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         53 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">         53 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">         53 :         OK (fclose (f)) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         53 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :         // construct a directed graph G with adjacency matrix A</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         53 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         53 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            :         // compute the is_symmetric_structure cached property</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">        372 :         LG_BRUTAL (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span>            :         // check the result</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         53 :         if (sym_structure)</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :         {</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         21 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :         }</a>
+<a name="236"><span class="lineNum">     236 </span>            :         else</a>
+<a name="237"><span class="lineNum">     237 </span>            :         {</a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         32 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_FALSE) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :         }</a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            :         // delete all cached properties</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">         53 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :         // try again, but precompute G-&gt;AT</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">        335 :         LG_BRUTAL (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">        329 :         LG_BRUTAL (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span>            :         // check the result</a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         53 :         if (sym_structure)</span></a>
+<a name="250"><span class="lineNum">     250 </span>            :         {</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         21 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :         }</a>
+<a name="253"><span class="lineNum">     253 </span>            :         else</a>
+<a name="254"><span class="lineNum">     254 </span>            :         {</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         32 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_FALSE) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span>            :         }</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            :         // delete all cached properties</a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         53 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span>            : </a>
+<a name="261"><span class="lineNum">     261 </span>            :         // change the graph to directed, if matrix is symmetric</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">         53 :         if (sym_values)</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :         {</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         13 :             G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :             // recompute the symmetry cached property</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">         13 :             LG_BRUTAL (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         13 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :         }</a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">         53 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span>            :     }</a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 : }</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : #endif</a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="278"><span class="lineNum">     278 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="279"><span class="lineNum">     279 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span>            : TEST_LIST =</a>
+<a name="282"><span class="lineNum">     282 </span>            : {</a>
+<a name="283"><span class="lineNum">     283 </span>            :     { &quot;test_Symmetric_Structure&quot;, test_Cached_Symmetric_Structure },</a>
+<a name="284"><span class="lineNum">     284 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="285"><span class="lineNum">     285 </span>            :     { &quot;test_Symmetric_Structure_brutal&quot;,</a>
+<a name="286"><span class="lineNum">     286 </span>            :         test_Cached_Symmetric_Structure_brutal },</a>
+<a name="287"><span class="lineNum">     287 </span>            :     #endif</a>
+<a name="288"><span class="lineNum">     288 </span>            :     { NULL, NULL }</a>
+<a name="289"><span class="lineNum">     289 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_CheckGraph.c.func-sort-c.html b/src/test/test_CheckGraph.c.func-sort-c.html
new file mode 100644
index 0000000000..04f48ce47f
--- /dev/null
+++ b/src/test/test_CheckGraph.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_CheckGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_CheckGraph.c<span style="font-size: 80%;"> (<a href="test_CheckGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_CheckGraph.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#66">test_CheckGraph</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#256">test_CheckGraph_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#128">test_CheckGraph_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#33">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#42">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_CheckGraph.c.func.html b/src/test/test_CheckGraph.c.func.html
new file mode 100644
index 0000000000..bb80276e00
--- /dev/null
+++ b/src/test/test_CheckGraph.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_CheckGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_CheckGraph.c<span style="font-size: 80%;"> (<a href="test_CheckGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_CheckGraph.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#33">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#42">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#66">test_CheckGraph</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#256">test_CheckGraph_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_CheckGraph.c.gcov.html#128">test_CheckGraph_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_CheckGraph.c.gcov.html b/src/test/test_CheckGraph.c.gcov.html
new file mode 100644
index 0000000000..4b1b9ea118
--- /dev/null
+++ b/src/test/test_CheckGraph.c.gcov.html
@@ -0,0 +1,377 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_CheckGraph.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_CheckGraph.c<span style="font-size: 80%;"> (source / <a href="test_CheckGraph.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntry">136</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_CheckGraph.c:  test LAGraph_CheckGraph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL, B_bool = NULL, B_int32 = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Vector d_int64 = NULL, d_bool = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : // setup: start a test</a>
+<a name="33"><span class="lineNum">      33 </span>            : //------------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          2 : }</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : //------------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            : // teardown: finalize a test</a>
+<a name="42"><span class="lineNum">      42 </span>            : //------------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : {</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          2 : }</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : //------------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : // test_CheckGraph:  test LAGraph_CheckGraph</a>
+<a name="51"><span class="lineNum">      51 </span>            : //------------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : typedef struct</a>
+<a name="54"><span class="lineNum">      54 </span>            : {</a>
+<a name="55"><span class="lineNum">      55 </span>            :     LAGraph_Kind kind ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :     const char *name ;</a>
+<a name="57"><span class="lineNum">      57 </span>            : }</a>
+<a name="58"><span class="lineNum">      58 </span>            : matrix_info ;</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : const matrix_info files [ ] =</a>
+<a name="61"><span class="lineNum">      61 </span>            : {</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     LAGRAPH_UNKNOWN,              &quot;&quot;</a>
+<a name="66"><span class="lineNum">      66 </span>            : } ;</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 : void test_CheckGraph (void)</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          3 :     {</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :         // load the adjacency matrix as A</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          4 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :         // create the graph</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          3 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          3 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :         // check the graph</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          3 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          3 :         TEST_CHECK (G-&gt;kind == kind) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          3 :         if (kind == LAGraph_ADJACENCY_DIRECTED)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :         {</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          2 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGRAPH_UNKNOWN) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :         }</a>
+<a name="98"><span class="lineNum">      98 </span>            :         else</a>
+<a name="99"><span class="lineNum">      99 </span>            :         {</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :         }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :         // create its cached properties</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          3 :         int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          3 :             LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          3 :         int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          3 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          3 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          3 :         OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          3 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          3 :         result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          3 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          3 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :         // free the graph</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          3 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          3 :         TEST_CHECK (G == NULL) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :     }</a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 : }</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : // test_CheckGraph_failures:  test error handling of LAGraph_CheckGraph</a>
+<a name="128"><span class="lineNum">     128 </span>            : //------------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 : void test_CheckGraph_failures (void)</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : {</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     printf (&quot;\nTesting LAGraph_CheckGraph error handling:\n&quot;) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            :     // construct an invalid graph with a rectangular adjacency matrix</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     TEST_CASE (&quot;lp_afiro&quot;) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;lp_afiro.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of lp_afiro.mtx failed&quot;) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            :     // create an invalid graph</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :     // adjacency matrix invalid</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span>            :     // free the graph</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // load a valid adjacency matrix</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     TEST_CASE (&quot;cover&quot;) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     f = fopen (LG_DATA_DIR &quot;cover.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of cover.mtx failed&quot;) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            :     // create an valid graph</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;d_bool,  GrB_BOOL, 7)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;d_int64, GrB_INT64, 1000)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;B_bool,  GrB_INT64, 7, 7)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;B_int32, GrB_INT32, 3, 4)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :     // G-&gt;AT has the right type, but wrong size</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     G-&gt;AT = B_int32 ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :     // G-&gt;AT has the right size, but wrong type</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :     G-&gt;AT = B_bool ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="185"><span class="lineNum">     185 </span>            :     // G-&gt;AT must be by-row</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     OK (GxB_set (G-&gt;AT, GxB_FORMAT, GxB_BY_COL)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :     #endif</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     G-&gt;AT = NULL ;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :     // G-&gt;out_degree has the right type, but wrong size</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     G-&gt;out_degree = d_int64 ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :     // G-&gt;out_degree has the right size, but wrong type</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     G-&gt;out_degree = d_bool ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     G-&gt;out_degree = NULL ;</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span>            :     // G-&gt;in_degree has the right type, but wrong size</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          1 :     G-&gt;in_degree = d_int64 ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span>            :     // G-&gt;in_degree has the right size, but wrong type</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          1 :     G-&gt;in_degree = d_bool ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          1 :     G-&gt;in_degree = NULL ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="218"><span class="lineNum">     218 </span>            :     // G-&gt;A must be by-row</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     OK (GxB_set (G-&gt;A, GxB_FORMAT, GxB_BY_COL)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :     #endif</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :     GrB_free (&amp;d_bool) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :     GrB_free (&amp;d_int64) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 :     GrB_free (&amp;B_bool) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          1 :     GrB_free (&amp;B_int32) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            :     // mangle G-&gt;kind</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     G-&gt;kind = LAGRAPH_UNKNOWN ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span>            :     // free the adjacency matrix</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     GrB_free (&amp;(G-&gt;A)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     TEST_CHECK (G-&gt;A == NULL) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 :     int result = LAGraph_CheckGraph (G, msg) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     printf (&quot;result : %d msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            :     // free the graph</a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 : }</span></a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span>            : //------------------------------------------------------------------------------</a>
+<a name="254"><span class="lineNum">     254 </span>            : // test_CheckGraph_brutal:</a>
+<a name="255"><span class="lineNum">     255 </span>            : //------------------------------------------------------------------------------</a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 : void test_CheckGraph_brutal (void)</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : {</a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span>            : </a>
+<a name="262"><span class="lineNum">     262 </span>            :     // load a valid adjacency matrix</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     TEST_CASE (&quot;karate&quot;) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;karate.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of karate.mtx failed&quot;) ;</span></a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            :     // create an valid graph</a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :     // create its cached properties</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          7 :     LG_BRUTAL_BURBLE (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 : }</span></a>
+<a name="287"><span class="lineNum">     287 </span>            : #endif</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="290"><span class="lineNum">     290 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="291"><span class="lineNum">     291 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="292"><span class="lineNum">     292 </span>            : </a>
+<a name="293"><span class="lineNum">     293 </span>            : TEST_LIST =</a>
+<a name="294"><span class="lineNum">     294 </span>            : {</a>
+<a name="295"><span class="lineNum">     295 </span>            :     { &quot;CheckGraph&quot;, test_CheckGraph },</a>
+<a name="296"><span class="lineNum">     296 </span>            :     { &quot;CheckGraph_failures&quot;, test_CheckGraph_failures },</a>
+<a name="297"><span class="lineNum">     297 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="298"><span class="lineNum">     298 </span>            :     { &quot;CheckGraph_brutal&quot;, test_CheckGraph_brutal },</a>
+<a name="299"><span class="lineNum">     299 </span>            :     #endif</a>
+<a name="300"><span class="lineNum">     300 </span>            :     { NULL, NULL }</a>
+<a name="301"><span class="lineNum">     301 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_ConnectedComponents.c.func-sort-c.html b/src/test/test_ConnectedComponents.c.func-sort-c.html
new file mode 100644
index 0000000000..77ead80124
--- /dev/null
+++ b/src/test/test_ConnectedComponents.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_ConnectedComponents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_ConnectedComponents.c<span style="font-size: 80%;"> (<a href="test_ConnectedComponents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_ConnectedComponents.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#228">test_cc_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#184">test_cc_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#82">test_cc_matrices</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#64">count_connected_components</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_ConnectedComponents.c.func.html b/src/test/test_ConnectedComponents.c.func.html
new file mode 100644
index 0000000000..d4f9d6de62
--- /dev/null
+++ b/src/test/test_ConnectedComponents.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_ConnectedComponents.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_ConnectedComponents.c<span style="font-size: 80%;"> (<a href="test_ConnectedComponents.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_ConnectedComponents.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#64">count_connected_components</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#228">test_cc_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#184">test_cc_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_ConnectedComponents.c.gcov.html#82">test_cc_matrices</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_ConnectedComponents.c.gcov.html b/src/test/test_ConnectedComponents.c.gcov.html
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index 0000000000..28f1950db9
--- /dev/null
+++ b/src/test/test_ConnectedComponents.c.gcov.html
@@ -0,0 +1,351 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_ConnectedComponents.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_ConnectedComponents.c<span style="font-size: 80%;"> (source / <a href="test_ConnectedComponents.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntry">115</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_ConnectedComponents.c: test cases for CC</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : // also test LG_CC_FastSV5 and LAGraph_cc_lacc</a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &quot;LG_alg_internal.h&quot;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #undef NDEBUG</a>
+<a name="27"><span class="lineNum">      27 </span>            : #include &lt;assert.h&gt;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : #define LEN 512</a>
+<a name="32"><span class="lineNum">      32 </span>            : char filename [LEN+1] ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : GrB_Vector C = NULL, C2 = NULL ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : typedef struct</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            :     uint32_t ncomponents ;</a>
+<a name="39"><span class="lineNum">      39 </span>            :     const char *name ;</a>
+<a name="40"><span class="lineNum">      40 </span>            : }</a>
+<a name="41"><span class="lineNum">      41 </span>            : matrix_info ;</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : const matrix_info files [ ] =</a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span>            :     {      1, &quot;karate.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {      1, &quot;A.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {      1, &quot;jagmesh7.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     {      1, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {      1, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {      1, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     {      3, &quot;LFAT5.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     {   1989, &quot;LFAT5_hypersparse.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     {      6, &quot;LFAT5_two.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     {      1, &quot;bcsstk13.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     {      1, &quot;tree-example.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     {   1391, &quot;zenios.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     {      0, &quot;&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            : } ;</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : //------------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            : // count_connected_components: count the # of components in a component vector</a>
+<a name="62"><span class="lineNum">      62 </span>            : //------------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            : int count_connected_components (GrB_Vector C) ;</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         97 : int count_connected_components (GrB_Vector C)</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : {</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">         97 :     GrB_Index n = 0 ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         97 :     OK (GrB_Vector_size (&amp;n, C)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         97 :     int ncomponents = 0 ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">      65165 :     for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     {</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">      65068 :         int64_t comp = -1 ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">      65068 :         int result = GrB_Vector_extractElement (&amp;comp, C, i) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">      65068 :         if (result == GrB_SUCCESS &amp;&amp; comp == i) ncomponents++ ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         97 :     return (ncomponents) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : }</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            : //----------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : // test_cc_matrices: test with several matrices</a>
+<a name="82"><span class="lineNum">      82 </span>            : //----------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 : void test_cc_matrices (void)</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : {</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     // OK (GxB_set (GxB_BURBLE, true)) ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         12 :     {</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :         // load the adjacency matrix as A</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         13 :         const char *aname = files [k].name ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         13 :         uint32_t ncomp = files [k].ncomponents ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         13 :         if (strlen (aname) == 0) break;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         12 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         12 :         TEST_CASE (aname) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         12 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         12 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         12 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         12 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         12 :         OK (fclose (f)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         12 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :         GrB_Index n ;</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         12 :         OK (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span>            :         // create the graph</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         12 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         12 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         36 :         for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :         {</a>
+<a name="114"><span class="lineNum">     114 </span>            :             // find the connected components</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         24 :             printf (&quot;\n--- CC: FastSV6 if SuiteSparse, Boruvka if vanilla:\n&quot;) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         24 :             OK (LAGr_ConnectedComponents (&amp;C, G, msg)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         24 :             OK (LAGraph_Vector_Print (C, 2, stdout, msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span>            :             // count the # of connected components</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         24 :             int ncomponents = count_connected_components (C) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         24 :             printf (&quot;# components: %6u Matrix: %s\n&quot;, ncomponents, aname) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         24 :             TEST_CHECK (ncomponents == ncomp) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :             GrB_Index cnvals ;</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         24 :             OK (GrB_Vector_nvals (&amp;cnvals, C)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         24 :             TEST_CHECK (cnvals == n) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :             // check the result</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         24 :             OK (LG_check_cc (C, G, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         24 :             OK (GrB_free (&amp;C)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            :             // find the connected components with LG_CC_FastSV5</a>
+<a name="132"><span class="lineNum">     132 </span>            :             #if LAGRAPH_SUITESPARSE</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         24 :             printf (&quot;\n------ CC_FastSV5:\n&quot;) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         24 :             OK (LG_CC_FastSV5 (&amp;C2, G, msg)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         24 :             ncomponents = count_connected_components (C2) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">         24 :             TEST_CHECK (ncomponents == ncomp) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         24 :             OK (LG_check_cc (C2, G, msg)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         24 :             OK (GrB_free (&amp;C2)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :             #endif</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :             // find the connected components with LG_CC_Boruvka</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         24 :             int result = GrB_SUCCESS ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         24 :             printf (&quot;\n------ CC_BORUVKA:\n&quot;) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         24 :             result = LG_CC_Boruvka (&amp;C2, G, msg) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         24 :             OK (result) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">         24 :             ncomponents = count_connected_components (C2) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">         24 :             TEST_CHECK (ncomponents == ncomp) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">         24 :             OK (LG_check_cc (C2, G, msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         24 :             OK (GrB_free (&amp;C2)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         24 :             result = LG_CC_Boruvka (NULL, G, msg) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">         24 :             TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         24 :             if (trial == 0)</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :             {</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         36 :                 for (int sanitize = 0 ; sanitize &lt;= 1 ; sanitize++)</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :                 {</a>
+<a name="158"><span class="lineNum">     158 </span>            :                     // find the connected components with cc_lacc</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         24 :                     printf (&quot;\n------ CC_LACC:\n&quot;) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         24 :                     OK (LAGraph_cc_lacc (&amp;C2, G-&gt;A, sanitize, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         24 :                     ncomponents = count_connected_components (C2) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         24 :                     TEST_CHECK (ncomponents == ncomp) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         24 :                     OK (LG_check_cc (C2, G, msg)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         24 :                     OK (GrB_free (&amp;C2)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :                 }</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         12 :                 result = LAGraph_cc_lacc (NULL, G-&gt;A, false, msg) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         12 :                 TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :             }</a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :             // convert to directed with symmetric pattern for next trial</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">         24 :             G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         24 :             G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :         }</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         12 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :     }</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 : }</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span>            : //------------------------------------------------------------------------------</a>
+<a name="183"><span class="lineNum">     183 </span>            : // test_CC_errors:</a>
+<a name="184"><span class="lineNum">     184 </span>            : //------------------------------------------------------------------------------</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 : void test_cc_errors (void)</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : {</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :     // check for null pointers</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     int result = GrB_SUCCESS ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     result = LG_CC_Boruvka (NULL, NULL, msg) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          1 :     result = LG_CC_FastSV6 (NULL, NULL, msg) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     #endif</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span>            :     // load a valid matrix</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;LFAT5_two.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span>            :     // create an valid directed graph (not known to be symmetric)</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     result = LG_CC_Boruvka (&amp;C, G, msg) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1001) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :     printf (&quot;result expected: %d msg:\n%s\n&quot;, result, msg) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     result = LG_CC_FastSV6 (&amp;C, G, msg) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     TEST_CHECK (result == -1001) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     printf (&quot;result expected: %d msg:\n%s\n&quot;, result, msg) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :     #endif</a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          1 : }</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            : //------------------------------------------------------------------------------</a>
+<a name="226"><span class="lineNum">     226 </span>            : // test_CC_brutal:</a>
+<a name="227"><span class="lineNum">     227 </span>            : //------------------------------------------------------------------------------</a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 : void test_cc_brutal (void)</span></a>
+<a name="231"><span class="lineNum">     231 </span>            : {</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :     // load a valid adjacency matrix</a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     TEST_CASE (&quot;LFAT5_two&quot;) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     uint32_t ncomp = 6 ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;LFAT5_two.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of LFAT5_two.mtx failed&quot;) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span>            :     // create an valid graph</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span>            :     // find the connected components</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     printf (&quot;\n--- CC: FastSV6 if SuiteSparse, Boruvka if vanilla:\n&quot;) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">         38 :     LG_BRUTAL_BURBLE (LAGr_ConnectedComponents (&amp;C, G, msg)) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (C, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :     // count the # of connected components</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     int ncomponents = count_connected_components (C) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">          1 :     printf (&quot;# components: %6u Matrix: %s\n&quot;, ncomponents, &quot;LFAT_two&quot;) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :     TEST_CHECK (ncomponents == ncomp) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 :     OK (LG_check_cc (C, G, msg)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;C)) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 : }</span></a>
+<a name="264"><span class="lineNum">     264 </span>            : #endif</a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span>            : //****************************************************************************</a>
+<a name="267"><span class="lineNum">     267 </span>            : //****************************************************************************</a>
+<a name="268"><span class="lineNum">     268 </span>            : TEST_LIST = {</a>
+<a name="269"><span class="lineNum">     269 </span>            :     {&quot;cc&quot;, test_cc_matrices},</a>
+<a name="270"><span class="lineNum">     270 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="271"><span class="lineNum">     271 </span>            :     {&quot;cc_brutal&quot;, test_cc_brutal},</a>
+<a name="272"><span class="lineNum">     272 </span>            :     #endif</a>
+<a name="273"><span class="lineNum">     273 </span>            :     {&quot;cc_errors&quot;, test_cc_errors},</a>
+<a name="274"><span class="lineNum">     274 </span>            :     {NULL, NULL}</a>
+<a name="275"><span class="lineNum">     275 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DeleteCached.c.func-sort-c.html b/src/test/test_DeleteCached.c.func-sort-c.html
new file mode 100644
index 0000000000..9c7ff2b64b
--- /dev/null
+++ b/src/test/test_DeleteCached.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DeleteCached.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DeleteCached.c<span style="font-size: 80%;"> (<a href="test_DeleteCached.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_DeleteCached.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#67">test_DeleteCached</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#142">test_del_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DeleteCached.c.func.html b/src/test/test_DeleteCached.c.func.html
new file mode 100644
index 0000000000..eec6bb0c3b
--- /dev/null
+++ b/src/test/test_DeleteCached.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DeleteCached.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DeleteCached.c<span style="font-size: 80%;"> (<a href="test_DeleteCached.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_DeleteCached.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#67">test_DeleteCached</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DeleteCached.c.gcov.html#142">test_del_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DeleteCached.c.gcov.html b/src/test/test_DeleteCached.c.gcov.html
new file mode 100644
index 0000000000..f3210067e5
--- /dev/null
+++ b/src/test/test_DeleteCached.c.gcov.html
@@ -0,0 +1,277 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DeleteCached.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DeleteCached.c<span style="font-size: 80%;"> (source / <a href="test_DeleteCached.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntry">82</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_DeleteCached.c:  test LAGraph_DeleteCached</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char filename [LEN+1] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // setup: start a test</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 : }</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // teardown: finalize a test</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 : }</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // test_DeleteCached:  test LAGraph_DeleteCached</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : typedef struct</a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span>            :     LAGraph_Kind kind ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :     const char *name ;</a>
+<a name="56"><span class="lineNum">      56 </span>            : }</a>
+<a name="57"><span class="lineNum">      57 </span>            : matrix_info ;</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span>            : const matrix_info files [ ] =</a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;A.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;bcsstk13.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     LAGRAPH_UNKNOWN,              &quot;&quot;</a>
+<a name="67"><span class="lineNum">      67 </span>            : } ;</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 : void test_DeleteCached (void)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          5 :     {</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :         // load the matrix as A</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          6 :         const char *aname = files [k].name ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          6 :         if (strlen (aname) == 0) break;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          5 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          5 :         TEST_CASE (aname) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          5 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          5 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          5 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          5 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          5 :         OK (fclose (f)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          5 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          5 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          5 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :         // create all cached properties (see test_Cached_* for tests of content)</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          5 :         int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          5 :             LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          5 :         OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          5 :         int result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          5 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          5 :         result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          5 :         TEST_CHECK (result == ok_result) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          5 :         OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :         // print them</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          5 :         printf (&quot;\nGraph: nself_edges %g, symmetric structure: %d\n&quot;,</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          5 :             (double) G-&gt;nself_edges, G-&gt;is_symmetric_structure) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          5 :         printf (&quot;  adj matrix: &quot;) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          5 :         int rr = (LAGraph_Matrix_Print (G-&gt;A, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          5 :         printf (&quot;result: %d msg: %s\n&quot;, rr, msg) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          5 :         printf (&quot;  out degree: &quot;) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          5 :         OK (LAGraph_Vector_Print (G-&gt;out_degree, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          5 :         if (kind == LAGraph_ADJACENCY_DIRECTED)</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :         {</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          2 :             printf (&quot;  adj transposed: &quot;) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          2 :             OK (LAGraph_Matrix_Print (G-&gt;AT, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          2 :             printf (&quot;  in degree: &quot;) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          2 :             OK (LAGraph_Vector_Print (G-&gt;in_degree, LAGraph_SHORT, stdout,</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :                 msg)) ;</a>
+<a name="117"><span class="lineNum">     117 </span>            :         }</a>
+<a name="118"><span class="lineNum">     118 </span>            :         else</a>
+<a name="119"><span class="lineNum">     119 </span>            :         {</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          3 :             TEST_CHECK (G-&gt;AT == NULL) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          3 :             TEST_CHECK (G-&gt;in_degree == NULL) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         }</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         15 :         for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :         {</a>
+<a name="126"><span class="lineNum">     126 </span>            :             // delete all the cached properties</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         10 :             OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;AT == NULL) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;out_degree == NULL) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;in_degree == NULL) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :         }</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          5 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     }</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     OK (LAGraph_DeleteCached (NULL, msg)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 : }</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 : void test_del_brutal (void)</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : {</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          5 :     {</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span>            :         // load the matrix as A</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          6 :         const char *aname = files [k].name ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          6 :         if (strlen (aname) == 0) break;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          5 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          5 :         TEST_CASE (aname) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          5 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          5 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          5 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          5 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          5 :         OK (fclose (f)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          5 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         10 :         LG_BRUTAL (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          5 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span>            :         // create all cached properties (see test_Cached_* for tests of content)</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         39 :         LG_BRUTAL (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         19 :         LG_BRUTAL (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         15 :         LG_BRUTAL (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         17 :         LG_BRUTAL (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">         15 :         for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :         {</a>
+<a name="175"><span class="lineNum">     175 </span>            :             // delete all the cached properties</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         10 :             LG_BRUTAL (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;AT == NULL) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;out_degree == NULL) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         10 :             TEST_CHECK (G-&gt;in_degree == NULL) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :         }</a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          5 :         LG_BRUTAL (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          5 :         LG_BRUTAL (LAGraph_DeleteCached (NULL, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :     }</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 : }</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : #endif</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="191"><span class="lineNum">     191 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="192"><span class="lineNum">     192 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span>            : TEST_LIST =</a>
+<a name="195"><span class="lineNum">     195 </span>            : {</a>
+<a name="196"><span class="lineNum">     196 </span>            :     { &quot;test_DeleteCached&quot;, test_DeleteCached },</a>
+<a name="197"><span class="lineNum">     197 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="198"><span class="lineNum">     198 </span>            :     { &quot;test_DeleteCached_brutal&quot;, test_del_brutal },</a>
+<a name="199"><span class="lineNum">     199 </span>            :     #endif</a>
+<a name="200"><span class="lineNum">     200 </span>            :     { NULL, NULL }</a>
+<a name="201"><span class="lineNum">     201 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DisplayGraph.c.func-sort-c.html b/src/test/test_DisplayGraph.c.func-sort-c.html
new file mode 100644
index 0000000000..f89ead136a
--- /dev/null
+++ b/src/test/test_DisplayGraph.c.func-sort-c.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DisplayGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DisplayGraph.c<span style="font-size: 80%;"> (<a href="test_DisplayGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_DisplayGraph.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#88">test_Graph_Print</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#224">test_Graph_Print_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#150">test_Graph_Print_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#52">prwhat</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DisplayGraph.c.func.html b/src/test/test_DisplayGraph.c.func.html
new file mode 100644
index 0000000000..0807225b6d
--- /dev/null
+++ b/src/test/test_DisplayGraph.c.func.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DisplayGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DisplayGraph.c<span style="font-size: 80%;"> (<a href="test_DisplayGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_DisplayGraph.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#52">prwhat</a></td>
+              <td class="coverFnHi">97</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#88">test_Graph_Print</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#224">test_Graph_Print_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_DisplayGraph.c.gcov.html#150">test_Graph_Print_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_DisplayGraph.c.gcov.html b/src/test/test_DisplayGraph.c.gcov.html
new file mode 100644
index 0000000000..f8d7820428
--- /dev/null
+++ b/src/test/test_DisplayGraph.c.gcov.html
@@ -0,0 +1,378 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_DisplayGraph.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_DisplayGraph.c<span style="font-size: 80%;"> (source / <a href="test_DisplayGraph.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntry">132</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Graph_Print.c:  test LAGraph_Graph_Print</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL, AT = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // setup: start a test</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          2 : }</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : // teardown: finalize a test</a>
+<a name="43"><span class="lineNum">      43 </span>            : //------------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          2 : }</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : // prwhat: print what should be printed</a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         97 : const char *prwhat (int pr)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">         97 :     switch (pr)</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     {</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         16 :         case  0: return (&quot;nothing&quot;) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         16 :         case  1: return (&quot;terse&quot;) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         16 :         case  2: return (&quot;summary&quot;) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         16 :         case  3: return (&quot;all&quot;) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         16 :         case  4: return (&quot;summary (doubles in full precision)&quot;) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         16 :         case  5: return (&quot;all (doubles in full precision)&quot;) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :         default: ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            :     }</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     return (NULL) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : }</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // test_Graph_Print:  test LAGraph_Graph_Print</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : typedef struct</a>
+<a name="74"><span class="lineNum">      74 </span>            : {</a>
+<a name="75"><span class="lineNum">      75 </span>            :     LAGraph_Kind kind ;</a>
+<a name="76"><span class="lineNum">      76 </span>            :     int nself_edges ;</a>
+<a name="77"><span class="lineNum">      77 </span>            :     const char *name ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : }</a>
+<a name="79"><span class="lineNum">      79 </span>            : matrix_info ;</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : const matrix_info files [ ] =</a>
+<a name="82"><span class="lineNum">      82 </span>            : {</a>
+<a name="83"><span class="lineNum">      83 </span>            :     LAGraph_ADJACENCY_DIRECTED,   0, &quot;cover.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     LAGraph_ADJACENCY_DIRECTED,   0, &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, 0, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     LAGraph_ADJACENCY_DIRECTED,   2, &quot;west0067.mtx&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     LAGRAPH_UNKNOWN,              0, &quot;&quot;</a>
+<a name="88"><span class="lineNum">      88 </span>            : } ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 : void test_Graph_Print (void)</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          4 :     {</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :         // load the adjacency matrix as A</a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          5 :         const char *aname = files [k].name ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          5 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          5 :         if (strlen (aname) == 0) break;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          4 :         TEST_CASE (aname) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          4 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          4 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          4 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          4 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          4 :         OK (fclose (f)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          4 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          4 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          4 :         if (MATCHNAME (atype_name, &quot;double&quot;))</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :         {</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          3 :             OK (GrB_Matrix_setElement (A, 3.14159265358979323, 0, 1)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :         }</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span>            :         // create the graph</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          4 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          4 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span>            :         // display the graph</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         12 :         for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :         {</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          8 :             printf (&quot;\n############################# TRIAL: %d\n&quot;, trial) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         56 :             for (int pr = 0 ; pr &lt;= 5 ; pr++)</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :             {</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         48 :                 printf (&quot;\n########### %s: pr: %d (%s)\n&quot;,</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :                     aname, pr, prwhat (pr)) ;</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         48 :                 LAGraph_PrintLevel prl = pr ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         48 :                 OK (LAGraph_Graph_Print (G, prl, stdout, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :             }</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          8 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          8 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          8 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          8 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          8 :             OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          8 :             OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          8 :             TEST_CHECK (G-&gt;nself_edges == files [k].nself_edges) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            :         }</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :         // free the graph</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          4 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          4 :         TEST_CHECK (G == NULL) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :     }</a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     TEST_CHECK (prwhat (999) == NULL) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 : }</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            : //------------------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : // test_Graph_Print_failures:  test error handling of LAGraph_Graph_Print</a>
+<a name="150"><span class="lineNum">     150 </span>            : //------------------------------------------------------------------------------</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 : void test_Graph_Print_failures (void)</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : {</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     // G cannot be NULL</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     int result = LAGraph_New (NULL, NULL, 0, msg) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     // create a graph with no adjacency matrix; this is OK, since the intent is</a>
+<a name="162"><span class="lineNum">     162 </span>            :     // to create a graph for which the adjacency matrix can be defined later,</a>
+<a name="163"><span class="lineNum">     163 </span>            :     // via assigning it to G-&gt;A.  However, the graph will be declared invalid</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // by LAGraph_CheckGraph since G-&gt;A is NULL.</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, NULL, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span>            :     // G-&gt;A is NULL</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_COMPLETE_VERBOSE ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span>            :     // valid graph</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_FP32, 5, 5)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            :     // mangled G-&gt;kind</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     G-&gt;kind = -1 ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          1 :     G-&gt;kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span>            :     // G-&gt;AT has the wrong size</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;(G-&gt;AT), GrB_FP32, 6, 5)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;G-&gt;AT)) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;(G-&gt;AT), GrB_FP32, 5, 5)) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="200"><span class="lineNum">     200 </span>            :     // G-&gt;AT must be held by row, not by column</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     OK (GxB_set (G-&gt;AT, GxB_FORMAT, GxB_BY_COL)) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :     #endif</a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            :     // G-&gt;A and G-&gt;AT must have the same types</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;G-&gt;AT)) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;(G-&gt;AT), GrB_FP64, 5, 5)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 :     result = LAGraph_Graph_Print (G, pr, stdout, msg) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          1 :     printf (&quot;result: %d, msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (NULL, msg)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 : }</span></a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="222"><span class="lineNum">     222 </span>            : // test_Graph_Print_brutal</a>
+<a name="223"><span class="lineNum">     223 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 : void test_Graph_Print_brutal (void)</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : {</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          4 :     {</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span>            :         // load the adjacency matrix as A</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">          5 :         const char *aname = files [k].name ;</span></a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          5 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          5 :         if (strlen (aname) == 0) break;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          4 :         TEST_CASE (aname) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          4 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          4 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          4 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          4 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          4 :         OK (fclose (f)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          4 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          4 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          4 :         if (MATCHNAME (atype_name, &quot;double&quot;))</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :         {</a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          3 :             OK (GrB_Matrix_setElement (A, 3.14159265358979323, 0, 1)) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :         }</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          4 :         OK (GrB_wait (A, GrB_MATERIALIZE)) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :         // create the graph</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          4 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          4 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            :         // display the graph</a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         12 :         for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :         {</a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          8 :             printf (&quot;\n############################# TRIAL: %d\n&quot;, trial) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">         56 :             for (int pr = 0 ; pr &lt;= 5 ; pr++)</span></a>
+<a name="261"><span class="lineNum">     261 </span>            :             {</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">         48 :                 printf (&quot;\n########### %s: pr: %d (%s)\n&quot;,</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :                     aname, pr, prwhat (pr)) ;</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         48 :                 LAGraph_PrintLevel prl = pr ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         48 :                 if (pr == 3 || pr == 5)</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :                 {</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         16 :                     printf (&quot;skipped for brutal tests\n&quot;) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :                 }</a>
+<a name="269"><span class="lineNum">     269 </span>            :                 else</a>
+<a name="270"><span class="lineNum">     270 </span>            :                 {</a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        114 :                     LG_BRUTAL (LAGraph_Graph_Print (G, prl, stdout, msg)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :                 }</a>
+<a name="273"><span class="lineNum">     273 </span>            :             }</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          8 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          8 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          8 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          8 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          8 :             OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          8 :             OK (LAGraph_Cached_NSelfEdges (G, msg)) ;</span></a>
+<a name="280"><span class="lineNum">     280 </span>            :         }</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :         // free the graph</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          4 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span>            :     }</a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 : }</span></a>
+<a name="288"><span class="lineNum">     288 </span>            : #endif</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="291"><span class="lineNum">     291 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="292"><span class="lineNum">     292 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span>            : TEST_LIST =</a>
+<a name="295"><span class="lineNum">     295 </span>            : {</a>
+<a name="296"><span class="lineNum">     296 </span>            :     { &quot;Graph_Print&quot;, test_Graph_Print },</a>
+<a name="297"><span class="lineNum">     297 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="298"><span class="lineNum">     298 </span>            :     { &quot;Graph_Print_brutal&quot;, test_Graph_Print_brutal },</a>
+<a name="299"><span class="lineNum">     299 </span>            :     #endif</a>
+<a name="300"><span class="lineNum">     300 </span>            :     { &quot;Graph_Print_failures&quot;, test_Graph_Print_failures },</a>
+<a name="301"><span class="lineNum">     301 </span>            :     { NULL, NULL }</a>
+<a name="302"><span class="lineNum">     302 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init.c.func-sort-c.html b/src/test/test_Init.c.func-sort-c.html
new file mode 100644
index 0000000000..b1fbf1fdcf
--- /dev/null
+++ b/src/test/test_Init.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init.c<span style="font-size: 80%;"> (<a href="test_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Init.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Init.c.gcov.html#28">test_Init</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init.c.func.html b/src/test/test_Init.c.func.html
new file mode 100644
index 0000000000..28dac8c389
--- /dev/null
+++ b/src/test/test_Init.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init.c<span style="font-size: 80%;"> (<a href="test_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Init.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Init.c.gcov.html#28">test_Init</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init.c.gcov.html b/src/test/test_Init.c.gcov.html
new file mode 100644
index 0000000000..3fcfe08688
--- /dev/null
+++ b/src/test/test_Init.c.gcov.html
@@ -0,0 +1,172 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init.c<span style="font-size: 80%;"> (source / <a href="test_Init.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Init.c:  test LAGraph_Init and LAGraph_Finalize</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : // test_Init:  test LAGraph_Init</a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 : void test_Init (void)</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 :     int status = LAGraph_Init (msg) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (status) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            :     int ver [3] ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const char *name, *date ;</a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     OK (GxB_Global_Option_get (GxB_LIBRARY_NAME, &amp;name)) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     OK (GxB_Global_Option_get (GxB_LIBRARY_DATE, &amp;date)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          1 :     OK (GxB_Global_Option_get (GxB_LIBRARY_VERSION, ver)) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     printf (&quot;\nlibrary: %s %d.%d.%d (%s)\n&quot;, name, ver [0], ver [1], ver [2],</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :         date) ;</a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :     printf (  &quot;include: %s %d.%d.%d (%s)\n&quot;, GxB_IMPLEMENTATION_NAME,</span></a>
+<a name="45"><span class="lineNum">      45 </span>            :         GxB_IMPLEMENTATION_MAJOR, GxB_IMPLEMENTATION_MINOR,</a>
+<a name="46"><span class="lineNum">      46 </span>            :         GxB_IMPLEMENTATION_SUB, GxB_IMPLEMENTATION_DATE) ;</a>
+<a name="47"><span class="lineNum">      47 </span>            :     // make sure the SuiteSparse:GraphBLAS version and date match</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     TEST_CHECK (ver [0] == GxB_IMPLEMENTATION_MAJOR) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     TEST_CHECK (ver [1] == GxB_IMPLEMENTATION_MINOR) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     TEST_CHECK (ver [2] == GxB_IMPLEMENTATION_SUB) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     OK (strcmp (date, GxB_IMPLEMENTATION_DATE)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     #if ( GxB_IMPLEMENTATION_MAJOR &gt;= 7 )</a>
+<a name="54"><span class="lineNum">      54 </span>            :     char *compiler ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :     int compiler_version [3] ;</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     OK (GxB_Global_Option_get (GxB_COMPILER_NAME, &amp;compiler)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     OK (GxB_Global_Option_get (GxB_COMPILER_VERSION, compiler_version)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     printf (&quot;GraphBLAS compiled with: %s v%d.%d.%d\n&quot;, compiler,</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :         compiler_version [0], compiler_version [1], compiler_version [2]) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            :     #endif</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     #else</a>
+<a name="63"><span class="lineNum">      63 </span>            :     printf (&quot;\nVanilla GraphBLAS: no GxB* extensions\n&quot;) ;</a>
+<a name="64"><span class="lineNum">      64 </span>            :     #endif</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     // check the LAGraph version using both LAGraph.h and LAGraph_Version</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     printf (&quot;LAGraph version %d.%d.%d (%s) from LAGraph.h\n&quot;,</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :         LAGRAPH_VERSION_MAJOR, LAGRAPH_VERSION_MINOR, LAGRAPH_VERSION_UPDATE,</a>
+<a name="69"><span class="lineNum">      69 </span>            :         LAGRAPH_DATE) ;</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :     char version_date [LAGRAPH_MSG_LEN] ;</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     status = LAGraph_Version (ver, version_date, msg) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     OK (status) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     printf (&quot;LAGraph version %d.%d.%d (%s) from LAGraph_Version\n&quot;,</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :         ver [0], ver [1], ver [2], version_date) ;</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     // make sure the LAGraph version and date match</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     TEST_CHECK (ver [0] == LAGRAPH_VERSION_MAJOR) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     TEST_CHECK (ver [1] == LAGRAPH_VERSION_MINOR) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     TEST_CHECK (ver [2] == LAGRAPH_VERSION_UPDATE) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     OK (strcmp (version_date, LAGRAPH_DATE)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 : }</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="89"><span class="lineNum">      89 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            : TEST_LIST =</a>
+<a name="92"><span class="lineNum">      92 </span>            : {</a>
+<a name="93"><span class="lineNum">      93 </span>            :     { &quot;Init&quot;, test_Init },</a>
+<a name="94"><span class="lineNum">      94 </span>            :     // no brutal test: see test_Xinit</a>
+<a name="95"><span class="lineNum">      95 </span>            :     { NULL, NULL }</a>
+<a name="96"><span class="lineNum">      96 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init_errors.c.func-sort-c.html b/src/test/test_Init_errors.c.func-sort-c.html
new file mode 100644
index 0000000000..fc79486aa7
--- /dev/null
+++ b/src/test/test_Init_errors.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init_errors.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init_errors.c<span style="font-size: 80%;"> (<a href="test_Init_errors.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Init_errors.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Init_errors.c.gcov.html#28">test_Init_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init_errors.c.func.html b/src/test/test_Init_errors.c.func.html
new file mode 100644
index 0000000000..a728d92829
--- /dev/null
+++ b/src/test/test_Init_errors.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init_errors.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init_errors.c<span style="font-size: 80%;"> (<a href="test_Init_errors.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Init_errors.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Init_errors.c.gcov.html#28">test_Init_errors</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Init_errors.c.gcov.html b/src/test/test_Init_errors.c.gcov.html
new file mode 100644
index 0000000000..d6e0513b53
--- /dev/null
+++ b/src/test/test_Init_errors.c.gcov.html
@@ -0,0 +1,138 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Init_errors.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Init_errors.c<span style="font-size: 80%;"> (source / <a href="test_Init_errors.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntry">11</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Init_errors.c:  test LAGraph_Init and LAGraph_Finalize</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : // test_Init_errors:  test LAGraph_Init</a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 : void test_Init_errors (void)</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 :     int status = LAGraph_Init (msg) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (status) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            :     int ver [3] ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            :     // LAGraph_Init cannot be called twice</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     status = LAGraph_Init (msg) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     printf (&quot;\nstatus: %d msg: %s\n&quot;, status, msg) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     TEST_CHECK (status != GrB_SUCCESS) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     // calling LAGraph_Finalize twice leads to undefined behavior;</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // for SuiteSparse, it returns GrB_SUCCESS</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     status = LAGraph_Finalize (msg) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          1 :     printf (&quot;status %d\n&quot;, status) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_SUCCESS) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            :     #endif</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 : }</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="55"><span class="lineNum">      55 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : TEST_LIST =</a>
+<a name="58"><span class="lineNum">      58 </span>            : {</a>
+<a name="59"><span class="lineNum">      59 </span>            :     { &quot;Init_errors&quot;, test_Init_errors },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     // no brutal test: see test_Xinit</a>
+<a name="61"><span class="lineNum">      61 </span>            :     { NULL, NULL }</a>
+<a name="62"><span class="lineNum">      62 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_IsEqual.c.func-sort-c.html b/src/test/test_IsEqual.c.func-sort-c.html
new file mode 100644
index 0000000000..81d5b9dfc6
--- /dev/null
+++ b/src/test/test_IsEqual.c.func-sort-c.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_IsEqual.c<span style="font-size: 80%;"> (<a href="test_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_IsEqual.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#89">test_IsEqual</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#208">test_IsEqual_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#330">test_IsEqual_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#395">test_Vector_IsEqual</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#71">setup</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#80">teardown</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_IsEqual.c.func.html b/src/test/test_IsEqual.c.func.html
new file mode 100644
index 0000000000..af64fc2558
--- /dev/null
+++ b/src/test/test_IsEqual.c.func.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_IsEqual.c<span style="font-size: 80%;"> (<a href="test_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_IsEqual.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#71">setup</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#80">teardown</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#89">test_IsEqual</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#208">test_IsEqual_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#330">test_IsEqual_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_IsEqual.c.gcov.html#395">test_Vector_IsEqual</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_IsEqual.c.gcov.html b/src/test/test_IsEqual.c.gcov.html
new file mode 100644
index 0000000000..a45c5f5f19
--- /dev/null
+++ b/src/test/test_IsEqual.c.gcov.html
@@ -0,0 +1,528 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_IsEqual.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_IsEqual.c<span style="font-size: 80%;"> (source / <a href="test_IsEqual.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntry">210</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_IsEqual.c:  test LAGraph_*_IsEqual</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : int status ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : GrB_Info info ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Matrix A = NULL, B = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Vector u = NULL, v = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : GrB_Type atype = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #define LEN 512</a>
+<a name="31"><span class="lineNum">      31 </span>            : char filename [LEN+1] ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : // test matrices</a>
+<a name="36"><span class="lineNum">      36 </span>            : //------------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : typedef struct</a>
+<a name="39"><span class="lineNum">      39 </span>            : {</a>
+<a name="40"><span class="lineNum">      40 </span>            :     bool isequal ;</a>
+<a name="41"><span class="lineNum">      41 </span>            :     bool isequal0 ;</a>
+<a name="42"><span class="lineNum">      42 </span>            :     const char *matrix1 ;</a>
+<a name="43"><span class="lineNum">      43 </span>            :     const char *matrix2 ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : }</a>
+<a name="45"><span class="lineNum">      45 </span>            : matrix_info ;</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : const matrix_info files [ ] =</a>
+<a name="48"><span class="lineNum">      48 </span>            : {</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //   iseq        matrix1             matrix2</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {    0, 0, &quot;A.mtx&quot;           , &quot;cover.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     {    0, 1, &quot;A.mtx&quot;           , &quot;A2.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     {    0, 0, &quot;cover.mtx&quot;       , &quot;cover_structure.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     {    0, 0, &quot;cover.mtx&quot;       , &quot;cover_structure.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     {    1, 1, &quot;LFAT5.mtx&quot;       , &quot;LFAT5.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     {    0, 0, &quot;sample2.mtx&quot;     , &quot;sample.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     {    1, 1, &quot;sample.mtx&quot;      , &quot;sample.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     {    1, 1, &quot;matrix_int32.mtx&quot;, &quot;matrix_int32.mtx&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            :     {    1, 1, &quot;matrix_int32.mtx&quot;, &quot;matrix_int32.mtx&quot; },</a>
+<a name="59"><span class="lineNum">      59 </span>            :     {    0, 0, &quot;matrix_int32.mtx&quot;, &quot;matrix_int64.mtx&quot; },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     {    0, 0, &quot;matrix_int32.mtx&quot;, &quot;matrix_int64.mtx&quot; },</a>
+<a name="61"><span class="lineNum">      61 </span>            :     {    1, 1, &quot;west0067.mtx&quot;    , &quot;west0067_jumbled.mtx&quot; },</a>
+<a name="62"><span class="lineNum">      62 </span>            :     {    1, 1, &quot;west0067.mtx&quot;    , &quot;west0067_noheader.mtx&quot;},</a>
+<a name="63"><span class="lineNum">      63 </span>            :     {    0, 0, &quot;LFAT5.mtx&quot;       , &quot;west0067.mtx&quot; },</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {    0, 0, &quot;empty.mtx&quot;       , &quot;full.mtx&quot; },</a>
+<a name="65"><span class="lineNum">      65 </span>            :     {    1, 1, &quot;full.mtx&quot;        , &quot;full_noheader.mtx&quot; },</a>
+<a name="66"><span class="lineNum">      66 </span>            :     {    0, 0, &quot;&quot;                , &quot;&quot; }</a>
+<a name="67"><span class="lineNum">      67 </span>            : } ;</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // setup: start a test</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          3 : void setup (void)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          3 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          3 : }</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            : //------------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            : // teardown: finalize a test</a>
+<a name="80"><span class="lineNum">      80 </span>            : //------------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          3 : void teardown (void)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : {</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          3 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          3 : }</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : //------------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : // test_IsEqual: test LAGraph_Matrix_IsEqual</a>
+<a name="89"><span class="lineNum">      89 </span>            : //------------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 : void test_IsEqual (void)</span></a>
+<a name="92"><span class="lineNum">      92 </span>            : {</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="95"><span class="lineNum">      95 </span>            :     // start up the test</a>
+<a name="96"><span class="lineNum">      96 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :     printf (&quot;\nTesting IsEqual:\n&quot;) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         16 :     {</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :         //----------------------------------------------------------------------</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // load in the kth pair of files</a>
+<a name="106"><span class="lineNum">     106 </span>            :         //----------------------------------------------------------------------</a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         17 :         const char *aname = files [k].matrix1 ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         17 :         const char *bname = files [k].matrix2 ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         17 :         const bool isequal = files [k].isequal ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         17 :         const bool isequal0 = files [k].isequal0 ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">         17 :         if (strlen (aname) == 0) break;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         16 :         TEST_CASE (aname) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         16 :         printf (&quot;test %2d: %s %s\n&quot;, k, aname, bname) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         16 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         16 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">         16 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         16 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         16 :         OK (fclose (f)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         16 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         GrB_Index ancols ;</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         16 :         OK (GrB_Matrix_ncols (&amp;ancols, A)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         16 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, bname) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         16 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         16 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         16 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">         16 :         OK (fclose (f)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         16 :         TEST_MSG (&quot;Failed to load %s\n&quot;, bname) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :         GrB_Index bncols ;</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         16 :         OK (GrB_Matrix_ncols (&amp;bncols, B)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span>            :         //----------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            :         // compare the two matrices</a>
+<a name="136"><span class="lineNum">     136 </span>            :         //----------------------------------------------------------------------</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         16 :         bool same = false ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_IsEqual (&amp;same, A, B, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_IsEqual (&amp;same, A, A, msg)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :         //----------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            :         // compare the two matrices with a given op</a>
+<a name="148"><span class="lineNum">     148 </span>            :         //----------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         16 :         OK (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         16 :         GrB_BinaryOp op = NULL ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         16 :         if      (atype == GrB_BOOL  ) op = GrB_EQ_BOOL   ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         12 :         else if (atype == GrB_INT8  ) op = GrB_EQ_INT8   ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         12 :         else if (atype == GrB_INT16 ) op = GrB_EQ_INT16  ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         12 :         else if (atype == GrB_INT32 ) op = GrB_EQ_INT32  ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          5 :         else if (atype == GrB_INT64 ) op = GrB_EQ_INT64  ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT8 ) op = GrB_EQ_UINT8  ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT16) op = GrB_EQ_UINT16 ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT32) op = GrB_EQ_UINT32 ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT64) op = GrB_EQ_UINT64 ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          5 :         else if (atype == GrB_FP32  ) op = GrB_EQ_FP32   ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          5 :         else if (atype == GrB_FP64  ) op = GrB_EQ_FP64   ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_IsEqualOp (&amp;same, A, B, op, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         16 :         OK (LAGraph_Matrix_IsEqualOp (&amp;same, A, A, op, msg)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :         //----------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            :         // compare two vectors</a>
+<a name="174"><span class="lineNum">     174 </span>            :         //----------------------------------------------------------------------</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         16 :         OK (GrB_Vector_new (&amp;u, atype, ancols)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         16 :         OK (GrB_Vector_new (&amp;v, atype, bncols)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         16 :         OK (GrB_Col_extract (u, NULL, NULL, A, GrB_ALL, ancols, 0,</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         16 :         OK (GrB_Col_extract (v, NULL, NULL, B, GrB_ALL, bncols, 0,</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         16 :         OK (LAGraph_Vector_IsEqual (&amp;same, u, v, msg)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal0) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         16 :         OK (LAGraph_Vector_IsEqual (&amp;same, u, u, msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         16 :         OK (LAGraph_Vector_IsEqual (&amp;same, u, u, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;u)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;v)) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :     }</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            :     // finish the test</a>
+<a name="200"><span class="lineNum">     200 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 : }</span></a>
+<a name="204"><span class="lineNum">     204 </span>            : </a>
+<a name="205"><span class="lineNum">     205 </span>            : //------------------------------------------------------------------------------</a>
+<a name="206"><span class="lineNum">     206 </span>            : // test_IsEqual_brutal:</a>
+<a name="207"><span class="lineNum">     207 </span>            : //------------------------------------------------------------------------------</a>
+<a name="208"><span class="lineNum">     208 </span>            : </a>
+<a name="209"><span class="lineNum">     209 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 : void test_IsEqual_brutal (void)</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : {</a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="214"><span class="lineNum">     214 </span>            :     // start up the test</a>
+<a name="215"><span class="lineNum">     215 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     printf (&quot;\nTesting IsEqual:\n&quot;) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     GxB_set (GxB_BURBLE, false) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         16 :     {</span></a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :         //----------------------------------------------------------------------</a>
+<a name="225"><span class="lineNum">     225 </span>            :         // load in the kth pair of files</a>
+<a name="226"><span class="lineNum">     226 </span>            :         //----------------------------------------------------------------------</a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         17 :         const char *aname = files [k].matrix1 ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">         17 :         const char *bname = files [k].matrix2 ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         17 :         const bool isequal = files [k].isequal ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         17 :         const bool isequal0 = files [k].isequal0 ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         17 :         if (strlen (aname) == 0) break;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         16 :         TEST_CASE (aname) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         16 :         printf (&quot;test %2d: %s %s\n&quot;, k, aname, bname) ;</span></a>
+<a name="235"><span class="lineNum">     235 </span>            : </a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">         16 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">         16 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">         16 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         16 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">         16 :         OK (fclose (f)) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">         16 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span>            :         GrB_Index ancols ;</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">         16 :         OK (GrB_Matrix_ncols (&amp;ancols, A)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">         16 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, bname) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">         16 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">         16 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">         16 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">         16 :         OK (fclose (f)) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         16 :         TEST_MSG (&quot;Failed to load %s\n&quot;, bname) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            :         GrB_Index bncols ;</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">         16 :         OK (GrB_Matrix_ncols (&amp;bncols, B)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :         //----------------------------------------------------------------------</a>
+<a name="255"><span class="lineNum">     255 </span>            :         // compare the two matrices</a>
+<a name="256"><span class="lineNum">     256 </span>            :         //----------------------------------------------------------------------</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         16 :         bool same = false ;</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">         59 :         LG_BRUTAL (LAGraph_Matrix_IsEqual (&amp;same, A, B, msg)) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span>            : </a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_Matrix_IsEqual (&amp;same, A, A, msg)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span>            : </a>
+<a name="266"><span class="lineNum">     266 </span>            :         //----------------------------------------------------------------------</a>
+<a name="267"><span class="lineNum">     267 </span>            :         // compare the two matrices with a given op</a>
+<a name="268"><span class="lineNum">     268 </span>            :         //----------------------------------------------------------------------</a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">         16 :         GrB_BinaryOp op = NULL ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">         16 :         if      (atype == GrB_BOOL  ) op = GrB_EQ_BOOL   ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">         12 :         else if (atype == GrB_INT8  ) op = GrB_EQ_INT8   ;</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         12 :         else if (atype == GrB_INT16 ) op = GrB_EQ_INT16  ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">         12 :         else if (atype == GrB_INT32 ) op = GrB_EQ_INT32  ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          5 :         else if (atype == GrB_INT64 ) op = GrB_EQ_INT64  ;</span></a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT8 ) op = GrB_EQ_UINT8  ;</span></a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT16) op = GrB_EQ_UINT16 ;</span></a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT32) op = GrB_EQ_UINT32 ;</span></a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          5 :         else if (atype == GrB_UINT64) op = GrB_EQ_UINT64 ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          5 :         else if (atype == GrB_FP32  ) op = GrB_EQ_FP32   ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          5 :         else if (atype == GrB_FP64  ) op = GrB_EQ_FP64   ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         79 :         LG_BRUTAL (LAGraph_Matrix_IsEqualOp (&amp;same, A, B, op, msg)) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_Matrix_IsEqualOp (&amp;same, A, A, op, msg)) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span>            :         //----------------------------------------------------------------------</a>
+<a name="293"><span class="lineNum">     293 </span>            :         // compare two vectors</a>
+<a name="294"><span class="lineNum">     294 </span>            :         //----------------------------------------------------------------------</a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">         48 :         LG_BRUTAL (GrB_Vector_new (&amp;u, atype, ancols)) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">         48 :         LG_BRUTAL (GrB_Vector_new (&amp;v, atype, bncols)) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">         78 :         LG_BRUTAL (GrB_Col_extract (u, NULL, NULL, A, GrB_ALL, ancols, 0,</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">         86 :         LG_BRUTAL (GrB_Col_extract (v, NULL, NULL, B, GrB_ALL, bncols, 0,</span></a>
+<a name="301"><span class="lineNum">     301 </span>            :             GrB_DESC_T0)) ;</a>
+<a name="302"><span class="lineNum">     302 </span>            : </a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">         63 :         LG_BRUTAL (LAGraph_Vector_IsEqual (&amp;same, u, v, msg)) ;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">         16 :         TEST_CHECK (same == isequal0) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_Vector_IsEqual (&amp;same, u, u, msg)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span>            : </a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">         16 :         LG_BRUTAL (LAGraph_Vector_IsEqual (&amp;same, u, u, msg)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         16 :         TEST_CHECK (same == true) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">         16 :         LG_BRUTAL (GrB_free (&amp;u)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;v)) ;</span></a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">         16 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :     }</a>
+<a name="317"><span class="lineNum">     317 </span>            : </a>
+<a name="318"><span class="lineNum">     318 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="319"><span class="lineNum">     319 </span>            :     // finish the test</a>
+<a name="320"><span class="lineNum">     320 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          1 : }</span></a>
+<a name="324"><span class="lineNum">     324 </span>            : #endif</a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span>            : //------------------------------------------------------------------------------</a>
+<a name="327"><span class="lineNum">     327 </span>            : // test_IsEqual_failures: test error handling of LAGraph_Matrix_IsEqual*</a>
+<a name="328"><span class="lineNum">     328 </span>            : //------------------------------------------------------------------------------</a>
+<a name="329"><span class="lineNum">     329 </span>            : </a>
+<a name="330"><span class="lineNum">     330 </span>            : typedef int myint ;</a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          1 : void test_IsEqual_failures (void)</span></a>
+<a name="333"><span class="lineNum">     333 </span>            : {</a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">          1 :     printf (&quot;\nTest IsEqual: error handling and special cases\n&quot;) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span>            : </a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          1 :     bool same = false ;</span></a>
+<a name="338"><span class="lineNum">     338 </span>            :     // not a failure, but a special case:</a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;same, NULL, NULL, msg)) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          1 :     TEST_CHECK (same == true) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqual (&amp;same, NULL, NULL, msg)) ;</span></a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">          1 :     TEST_CHECK (same == true) ;</span></a>
+<a name="344"><span class="lineNum">     344 </span>            : </a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          1 :     int result = LAGraph_Matrix_IsEqual (NULL, NULL, NULL, msg) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span>            : </a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_IsEqual (NULL, NULL, NULL, msg) ;</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_BOOL, 2, 2)) ;</span></a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;B, GrB_BOOL, 2, 2)) ;</span></a>
+<a name="355"><span class="lineNum">     355 </span>            : </a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_BOOL, 2)) ;</span></a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_BOOL, 2)) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span>            : </a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_IsEqual (NULL, A, B, msg) ;</span></a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="362"><span class="lineNum">     362 </span>            : </a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_IsEqualOp (&amp;same, A, B, NULL, msg) ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          1 :     result = LAGraph_Vector_IsEqual (NULL, u, v, msg) ;</span></a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          1 :     result = LAGraph_Vector_IsEqualOp (&amp;same, u, v, NULL, msg) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_IsEqual (NULL, A, B, msg) ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span>            : </a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_IsEqual (NULL, A, B, msg) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;same, A, B, msg)) ;</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">          1 :     TEST_CHECK (same == true) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span>            : </a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;v)) ;</span></a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;B)) ;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          1 : }</span></a>
+<a name="392"><span class="lineNum">     392 </span>            : </a>
+<a name="393"><span class="lineNum">     393 </span>            : //------------------------------------------------------------------------------</a>
+<a name="394"><span class="lineNum">     394 </span>            : // test_Vector_IsEqual: test LAGraph_Vector_isEqual</a>
+<a name="395"><span class="lineNum">     395 </span>            : //------------------------------------------------------------------------------</a>
+<a name="396"><span class="lineNum">     396 </span>            : </a>
+<a name="397"><span class="lineNum">     397 </span><span class="lineCov">          1 : void test_Vector_IsEqual (void)</span></a>
+<a name="398"><span class="lineNum">     398 </span>            : {</a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span>            : </a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">          1 :     bool same = false ;</span></a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqualOp (&amp;same, NULL, NULL, GrB_EQ_BOOL, msg)) ;</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">          1 :     TEST_CHECK (same == true) ;</span></a>
+<a name="404"><span class="lineNum">     404 </span>            : </a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_BOOL, 3)) ;</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_BOOL, 2)) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span>            : </a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqualOp (&amp;same, u, v, GrB_EQ_BOOL, msg)) ;</span></a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">          1 :     TEST_CHECK (same == false) ;</span></a>
+<a name="410"><span class="lineNum">     410 </span>            : </a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_BOOL, 2)) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqualOp (&amp;same, u, v, GrB_EQ_BOOL, msg)) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          1 :     TEST_CHECK (same == true) ;</span></a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (u, true, 0)) ;</span></a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, true, 1)) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqualOp (&amp;same, u, v, GrB_EQ_BOOL, msg)) ;</span></a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">          1 :     TEST_CHECK (same == false) ;</span></a>
+<a name="421"><span class="lineNum">     421 </span>            : </a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqual (&amp;same, u, v, msg)) ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          1 :     TEST_CHECK (same == false) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span>            : </a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;v)) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span>            : </a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_BOOL, 3)) ;</span></a>
+<a name="429"><span class="lineNum">     429 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_FP32, 3)) ;</span></a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_IsEqual (&amp;same, u, v, msg)) ;</span></a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">          1 :     TEST_CHECK (same == false) ;</span></a>
+<a name="432"><span class="lineNum">     432 </span>            : </a>
+<a name="433"><span class="lineNum">     433 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;v)) ;</span></a>
+<a name="435"><span class="lineNum">     435 </span>            : </a>
+<a name="436"><span class="lineNum">     436 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="437"><span class="lineNum">     437 </span><span class="lineCov">          1 : }</span></a>
+<a name="438"><span class="lineNum">     438 </span>            : </a>
+<a name="439"><span class="lineNum">     439 </span>            : //------------------------------------------------------------------------------</a>
+<a name="440"><span class="lineNum">     440 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="441"><span class="lineNum">     441 </span>            : //------------------------------------------------------------------------------</a>
+<a name="442"><span class="lineNum">     442 </span>            : </a>
+<a name="443"><span class="lineNum">     443 </span>            : TEST_LIST =</a>
+<a name="444"><span class="lineNum">     444 </span>            : {</a>
+<a name="445"><span class="lineNum">     445 </span>            :     { &quot;IsEqual&quot;, test_IsEqual },</a>
+<a name="446"><span class="lineNum">     446 </span>            :     { &quot;Vector_IsEqual&quot;, test_Vector_IsEqual },</a>
+<a name="447"><span class="lineNum">     447 </span>            :     { &quot;IsEqual_failures&quot;, test_IsEqual_failures },</a>
+<a name="448"><span class="lineNum">     448 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="449"><span class="lineNum">     449 </span>            :     { &quot;IsEqual_brutal&quot;, test_IsEqual_brutal },</a>
+<a name="450"><span class="lineNum">     450 </span>            :     #endif</a>
+<a name="451"><span class="lineNum">     451 </span>            :     { NULL, NULL }</a>
+<a name="452"><span class="lineNum">     452 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_KindName.c.func-sort-c.html b/src/test/test_KindName.c.func-sort-c.html
new file mode 100644
index 0000000000..072c43c3b5
--- /dev/null
+++ b/src/test/test_KindName.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_KindName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_KindName.c<span style="font-size: 80%;"> (<a href="test_KindName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_KindName.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#30">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#39">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#48">test_KindName</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#76">test_KindName_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_KindName.c.func.html b/src/test/test_KindName.c.func.html
new file mode 100644
index 0000000000..514a523e25
--- /dev/null
+++ b/src/test/test_KindName.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_KindName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_KindName.c<span style="font-size: 80%;"> (<a href="test_KindName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_KindName.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#30">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#39">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#48">test_KindName</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_KindName.c.gcov.html#76">test_KindName_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_KindName.c.gcov.html b/src/test/test_KindName.c.gcov.html
new file mode 100644
index 0000000000..e59b652b0c
--- /dev/null
+++ b/src/test/test_KindName.c.gcov.html
@@ -0,0 +1,174 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_KindName.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_KindName.c<span style="font-size: 80%;"> (source / <a href="test_KindName.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_KindName.c:  test LG_KindName</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : char name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : // setup: start a test</a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 : }</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : // teardown: finalize a test</a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 : }</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : //------------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : // test_KindName:  test LG_KindName</a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 : void test_KindName (void)</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : {</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     OK (LG_KindName (name, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;undirected&quot;)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     OK (LG_KindName (name, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;directed&quot;)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (LG_KindName (name, LAGRAPH_UNKNOWN, msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;unknown&quot;)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     TEST_CHECK (LG_KindName (name, 42, msg) == GrB_INVALID_VALUE) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 : }</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // test_KindName_brutal</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : // LG_KindName currently doesn't do any mallocs so this test is not</a>
+<a name="74"><span class="lineNum">      74 </span>            : // strictly necessary, but it's simple to include here.  It serves as a very</a>
+<a name="75"><span class="lineNum">      75 </span>            : // simple use-case of the brutal testing mechanism.</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 : void test_KindName_brutal (void)</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : {</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     LG_BRUTAL (LG_KindName (name, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;undirected&quot;)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 : }</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : #endif</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="88"><span class="lineNum">      88 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="89"><span class="lineNum">      89 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            : TEST_LIST =</a>
+<a name="92"><span class="lineNum">      92 </span>            : {</a>
+<a name="93"><span class="lineNum">      93 </span>            :     { &quot;KindName&quot;, test_KindName },</a>
+<a name="94"><span class="lineNum">      94 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="95"><span class="lineNum">      95 </span>            :     { &quot;KindName_brutal&quot;, test_KindName_brutal },</a>
+<a name="96"><span class="lineNum">      96 </span>            :     #endif</a>
+<a name="97"><span class="lineNum">      97 </span>            :     { NULL, NULL }</a>
+<a name="98"><span class="lineNum">      98 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_MMRead.c.func-sort-c.html b/src/test/test_MMRead.c.func-sort-c.html
new file mode 100644
index 0000000000..1b7ba3d2eb
--- /dev/null
+++ b/src/test/test_MMRead.c.func-sort-c.html
@@ -0,0 +1,112 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_MMRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_MMRead.c<span style="font-size: 80%;"> (<a href="test_MMRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_MMRead.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#142">test_MMRead</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#591">test_MMReadWrite_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#336">test_MMRead_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#436">test_MMWrite</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#558">test_MMWrite_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#701">test_array_pattern</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#373">test_jumbled</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#243">test_karate</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#110">setup</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#126">teardown</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_MMRead.c.func.html b/src/test/test_MMRead.c.func.html
new file mode 100644
index 0000000000..d689d60f71
--- /dev/null
+++ b/src/test/test_MMRead.c.func.html
@@ -0,0 +1,112 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_MMRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_MMRead.c<span style="font-size: 80%;"> (<a href="test_MMRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_MMRead.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#110">setup</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#126">teardown</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#142">test_MMRead</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#591">test_MMReadWrite_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#336">test_MMRead_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#436">test_MMWrite</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#558">test_MMWrite_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#701">test_array_pattern</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#373">test_jumbled</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_MMRead.c.gcov.html#243">test_karate</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_MMRead.c.gcov.html b/src/test/test_MMRead.c.gcov.html
new file mode 100644
index 0000000000..c0d77a3cf5
--- /dev/null
+++ b/src/test/test_MMRead.c.gcov.html
@@ -0,0 +1,859 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_MMRead.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_MMRead.c<span style="font-size: 80%;"> (source / <a href="test_MMRead.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntry">287</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_MMRead.c:  test LAGraph_MMRead and LAGraph_MMWrite</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : int status ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Info info ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix A = NULL, B = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : const char *name, *date ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : int ver [3] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : GrB_Index nrows, ncols, nvals ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : #define LEN 512</a>
+<a name="33"><span class="lineNum">      33 </span>            : char filename [LEN+1] ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : char btype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : // test matrices</a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : typedef struct</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_Index nrows ;</a>
+<a name="44"><span class="lineNum">      44 </span>            :     GrB_Index ncols ;</a>
+<a name="45"><span class="lineNum">      45 </span>            :     GrB_Index nvals ;</a>
+<a name="46"><span class="lineNum">      46 </span>            :     const char *type ;</a>
+<a name="47"><span class="lineNum">      47 </span>            :     const char *name ;</a>
+<a name="48"><span class="lineNum">      48 </span>            : }</a>
+<a name="49"><span class="lineNum">      49 </span>            : matrix_info ;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : const matrix_info files [ ] =</a>
+<a name="52"><span class="lineNum">      52 </span>            : {</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // nrows ncols nvals type         name</a>
+<a name="54"><span class="lineNum">      54 </span>            :     {    7,    7,    30, &quot;bool&quot;,    &quot;A.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     {    7,    7,    12, &quot;int32_t&quot;, &quot;cover.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     {    7,    7,    12, &quot;bool&quot;,    &quot;cover_structure.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     { 1138, 1138,  7450, &quot;bool&quot;,    &quot;jagmesh7.mtx&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            :     {    8,    8,    18, &quot;bool&quot;,    &quot;ldbc-cdlp-directed-example.mtx&quot; },</a>
+<a name="59"><span class="lineNum">      59 </span>            :     {    8,    8,    24, &quot;bool&quot;,    &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     {   10,   10,    17, &quot;bool&quot;,    &quot;ldbc-directed-example-bool.mtx&quot; },</a>
+<a name="61"><span class="lineNum">      61 </span>            :     {   10,   10,    17, &quot;double&quot;,  &quot;ldbc-directed-example.mtx&quot; },</a>
+<a name="62"><span class="lineNum">      62 </span>            :     {   10,   10,    17, &quot;bool&quot;,    &quot;ldbc-directed-example-unweighted.mtx&quot; },</a>
+<a name="63"><span class="lineNum">      63 </span>            :     {    9,    9,    24, &quot;bool&quot;,    &quot;ldbc-undirected-example-bool.mtx&quot; },</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {    9,    9,    24, &quot;double&quot;,  &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="65"><span class="lineNum">      65 </span>            :     {    9,    9,    24, &quot;bool&quot;,    &quot;ldbc-undirected-example-unweighted.mtx&quot;},</a>
+<a name="66"><span class="lineNum">      66 </span>            :     {   10,   10,    30, &quot;int64_t&quot;, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="67"><span class="lineNum">      67 </span>            :     {   14,   14,    46, &quot;double&quot;,  &quot;LFAT5.mtx&quot; },</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {    6,    6,     8, &quot;int64_t&quot;, &quot;msf1.mtx&quot; },</a>
+<a name="69"><span class="lineNum">      69 </span>            :     {    8,    8,    12, &quot;int64_t&quot;, &quot;msf2.mtx&quot; },</a>
+<a name="70"><span class="lineNum">      70 </span>            :     {    5,    5,     7, &quot;int64_t&quot;, &quot;msf3.mtx&quot; },</a>
+<a name="71"><span class="lineNum">      71 </span>            :     {    8,    8,    28, &quot;bool&quot;,    &quot;sample2.mtx&quot; },</a>
+<a name="72"><span class="lineNum">      72 </span>            :     {    8,    8,    12, &quot;bool&quot;,    &quot;sample.mtx&quot; },</a>
+<a name="73"><span class="lineNum">      73 </span>            :     {   64,    1,    64, &quot;int64_t&quot;, &quot;sources_7.mtx&quot; },</a>
+<a name="74"><span class="lineNum">      74 </span>            :     { 1000, 1000,  3996, &quot;double&quot;,  &quot;olm1000.mtx&quot; },</a>
+<a name="75"><span class="lineNum">      75 </span>            :     { 2003, 2003, 83883, &quot;double&quot;,  &quot;bcsstk13.mtx&quot; },</a>
+<a name="76"><span class="lineNum">      76 </span>            :     { 2500, 2500, 12349, &quot;double&quot;,  &quot;cryg2500.mtx&quot; },</a>
+<a name="77"><span class="lineNum">      77 </span>            :     {    6,    6,    10, &quot;int64_t&quot;, &quot;tree-example.mtx&quot; },</a>
+<a name="78"><span class="lineNum">      78 </span>            :     {   67,   67,   294, &quot;double&quot;,  &quot;west0067.mtx&quot; },</a>
+<a name="79"><span class="lineNum">      79 </span>            :     {   27,   51,   102, &quot;double&quot;,  &quot;lp_afiro.mtx&quot; },</a>
+<a name="80"><span class="lineNum">      80 </span>            :     {   27,   51,   102, &quot;bool&quot;,    &quot;lp_afiro_structure.mtx&quot; },</a>
+<a name="81"><span class="lineNum">      81 </span>            :     {   34,   34,   156, &quot;bool&quot;,    &quot;karate.mtx&quot; },</a>
+<a name="82"><span class="lineNum">      82 </span>            :     {    7,    7,    12, &quot;bool&quot;,    &quot;matrix_bool.mtx&quot; },</a>
+<a name="83"><span class="lineNum">      83 </span>            :     {    7,    7,    12, &quot;int8_t&quot;,  &quot;matrix_int8.mtx&quot; },</a>
+<a name="84"><span class="lineNum">      84 </span>            :     {    7,    7,    12, &quot;int16_t&quot;, &quot;matrix_int16.mtx&quot; },</a>
+<a name="85"><span class="lineNum">      85 </span>            :     {    7,    7,    12, &quot;int32_t&quot;, &quot;matrix_int32.mtx&quot; },</a>
+<a name="86"><span class="lineNum">      86 </span>            :     {    7,    7,    12, &quot;int64_t&quot;, &quot;matrix_int64.mtx&quot; },</a>
+<a name="87"><span class="lineNum">      87 </span>            :     {    7,    7,    12, &quot;uint8_t&quot;, &quot;matrix_uint8.mtx&quot; },</a>
+<a name="88"><span class="lineNum">      88 </span>            :     {    7,    7,    12, &quot;uint16_t&quot;,&quot;matrix_uint16.mtx&quot; },</a>
+<a name="89"><span class="lineNum">      89 </span>            :     {    7,    7,    12, &quot;uint32_t&quot;,&quot;matrix_uint32.mtx&quot; },</a>
+<a name="90"><span class="lineNum">      90 </span>            :     {    7,    7,    12, &quot;uint64_t&quot;,&quot;matrix_uint64.mtx&quot; },</a>
+<a name="91"><span class="lineNum">      91 </span>            :     {    7,    7,    12, &quot;float&quot;,   &quot;matrix_fp32.mtx&quot; },</a>
+<a name="92"><span class="lineNum">      92 </span>            :     {    7,    7,    12, &quot;bool&quot;,    &quot;matrix_fp32_structure.mtx&quot; },</a>
+<a name="93"><span class="lineNum">      93 </span>            :     {    7,    7,    12, &quot;double&quot;,  &quot;matrix_fp64.mtx&quot; },</a>
+<a name="94"><span class="lineNum">      94 </span>            :     {   67,   67,   294, &quot;double&quot;,  &quot;west0067_jumbled.mtx&quot; },</a>
+<a name="95"><span class="lineNum">      95 </span>            :     {    6,    6,    20, &quot;float&quot;,    &quot;skew_fp32.mtx&quot; },</a>
+<a name="96"><span class="lineNum">      96 </span>            :     {    6,    6,    20, &quot;double&quot;,  &quot;skew_fp64.mtx&quot; },</a>
+<a name="97"><span class="lineNum">      97 </span>            :     {    6,    6,    20, &quot;int8_t&quot;,  &quot;skew_int8.mtx&quot; },</a>
+<a name="98"><span class="lineNum">      98 </span>            :     {    6,    6,    20, &quot;int16_t&quot;, &quot;skew_int16.mtx&quot; },</a>
+<a name="99"><span class="lineNum">      99 </span>            :     {    6,    6,    20, &quot;int32_t&quot;, &quot;skew_int32.mtx&quot; },</a>
+<a name="100"><span class="lineNum">     100 </span>            :     {    6,    6,    20, &quot;int64_t&quot;, &quot;skew_int64.mtx&quot; },</a>
+<a name="101"><span class="lineNum">     101 </span>            :     {    7,    7,    12, &quot;int32_t&quot;, &quot;structure.mtx&quot; },</a>
+<a name="102"><span class="lineNum">     102 </span>            :     {    3,    3,     9, &quot;double&quot;,  &quot;full.mtx&quot; },</a>
+<a name="103"><span class="lineNum">     103 </span>            :     {    4,    4,    16, &quot;double&quot;,  &quot;full_symmetric.mtx&quot; },</a>
+<a name="104"><span class="lineNum">     104 </span>            :     {    3,    4,     0, &quot;int32_t&quot;, &quot;empty.mtx&quot; },</a>
+<a name="105"><span class="lineNum">     105 </span>            :     { 0, 0, 0, &quot;&quot;, &quot;&quot; },</a>
+<a name="106"><span class="lineNum">     106 </span>            : } ;</a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span>            : //------------------------------------------------------------------------------</a>
+<a name="109"><span class="lineNum">     109 </span>            : // setup: start a test</a>
+<a name="110"><span class="lineNum">     110 </span>            : //------------------------------------------------------------------------------</a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          6 : void setup (void)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : {</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          6 :     printf (&quot;\nsetup: %s\n&quot;, __FILE__) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          6 :     printf (&quot;data is in [%s]\n&quot;, LG_DATA_DIR) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          6 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          6 :     OK (GxB_get (GxB_LIBRARY_NAME, &amp;name)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          6 :     OK (GxB_get (GxB_LIBRARY_DATE, &amp;date)) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          6 :     OK (GxB_get (GxB_LIBRARY_VERSION, ver)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :     #endif</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          6 : }</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            : //------------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : // teardown: finalize a test</a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          6 : void teardown (void)</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : {</a>
+<a name="130"><span class="lineNum">     130 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          6 :     printf (&quot;\n%s %d.%d.%d (%s)\n&quot;, name, ver [0], ver [1], ver [2], date) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            :     #endif</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          6 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          6 :     OK (GrB_free (&amp;B)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          6 :     TEST_CHECK (A == NULL) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          6 :     TEST_CHECK (B == NULL) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          6 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          6 : }</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            : //------------------------------------------------------------------------------</a>
+<a name="141"><span class="lineNum">     141 </span>            : // test_MMRead:  read a set of matrices, check their stats, and write them out</a>
+<a name="142"><span class="lineNum">     142 </span>            : //------------------------------------------------------------------------------</a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 : void test_MMRead (void)</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : {</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="148"><span class="lineNum">     148 </span>            :     // start up the test</a>
+<a name="149"><span class="lineNum">     149 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         51 :     {</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :         //----------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            :         // load in the kth file</a>
+<a name="158"><span class="lineNum">     158 </span>            :         //----------------------------------------------------------------------</a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         52 :         const char *aname = files [k].name ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         52 :         if (strlen (aname) == 0) break;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         51 :         TEST_CASE (aname) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         51 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         51 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         51 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         51 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">         51 :         OK (fclose (f)) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            :         //----------------------------------------------------------------------</a>
+<a name="172"><span class="lineNum">     172 </span>            :         // check its stats</a>
+<a name="173"><span class="lineNum">     173 </span>            :         //----------------------------------------------------------------------</a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         51 :         OK (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         51 :         OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         51 :         OK (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">         51 :         TEST_CHECK (nrows == files [k].nrows) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         51 :         TEST_CHECK (ncols == files [k].ncols) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         51 :         TEST_CHECK (nvals == files [k].nvals) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         51 :         printf (&quot;types: [%s] [%s]\n&quot;, atype_name, files [k].type) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         51 :         TEST_CHECK (MATCHNAME (atype_name, files [k].type)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Stats are wrong for %s\n&quot;, aname) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :         //----------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            :         // pretty-print the matrix</a>
+<a name="189"><span class="lineNum">     189 </span>            :         //----------------------------------------------------------------------</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">        204 :         for (int pr = 0 ; pr &lt;= 2 ; pr++)</span></a>
+<a name="192"><span class="lineNum">     192 </span>            :         {</a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        153 :             printf (&quot;\nPretty-print %s: pr=%d:\n&quot;, aname, pr) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">        153 :             LAGraph_PrintLevel prl = pr ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        153 :             OK (LAGraph_Matrix_Print (A, prl, stdout, msg)) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :         }</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :         //----------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            :         // write it to a temporary file</a>
+<a name="200"><span class="lineNum">     200 </span>            :         //----------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         51 :         f = tmpfile ( ) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         51 :         OK (LAGraph_MMWrite (A, f, NULL, msg)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed to write %s to a temp file\n&quot;, aname) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         //----------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // load it back in again</a>
+<a name="208"><span class="lineNum">     208 </span>            :         //----------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         51 :         rewind (f) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed to load %s from a temp file\n&quot;, aname) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         51 :         OK (fclose (f)) ;       // close and delete the temporary file</span></a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            :         //----------------------------------------------------------------------</a>
+<a name="216"><span class="lineNum">     216 </span>            :         // ensure A and B are the same</a>
+<a name="217"><span class="lineNum">     217 </span>            :         //----------------------------------------------------------------------</a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">         51 :         TEST_CHECK (MATCHNAME (atype_name, btype_name)) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :         bool ok ;</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         51 :         TEST_CHECK (ok) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed test for equality, file: %s\n&quot;, aname) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span>            : </a>
+<a name="226"><span class="lineNum">     226 </span>            :         //----------------------------------------------------------------------</a>
+<a name="227"><span class="lineNum">     227 </span>            :         // free workspace</a>
+<a name="228"><span class="lineNum">     228 </span>            :         //----------------------------------------------------------------------</a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :     }</a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="235"><span class="lineNum">     235 </span>            :     // finish the test</a>
+<a name="236"><span class="lineNum">     236 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 : }</span></a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="242"><span class="lineNum">     242 </span>            : // test_karate: read in karate graph from a file and compare it known graph</a>
+<a name="243"><span class="lineNum">     243 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="244"><span class="lineNum">     244 </span>            : </a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 : void test_karate (void)</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : {</a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="249"><span class="lineNum">     249 </span>            :     // start up the test</a>
+<a name="250"><span class="lineNum">     250 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="255"><span class="lineNum">     255 </span>            :     // load in the data/karate.mtx file as the matrix A</a>
+<a name="256"><span class="lineNum">     256 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;karate.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (atype_name, &quot;bool&quot;)) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (A, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of A matrix failed: karate matrix&quot;) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span>            : </a>
+<a name="267"><span class="lineNum">     267 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="268"><span class="lineNum">     268 </span>            :     // load in the matrix defined by graph_zachary_karate.h as the matrix B</a>
+<a name="269"><span class="lineNum">     269 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;B, GrB_BOOL, ZACHARY_NUM_NODES, ZACHARY_NUM_NODES)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          1 :     OK (GrB_Matrix_build (B, ZACHARY_I, ZACHARY_J, ZACHARY_V,</span></a>
+<a name="273"><span class="lineNum">     273 </span>            :         ZACHARY_NUM_EDGES, GrB_LOR)) ;</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (B, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of B matrix failed: karate matrix&quot;) ;</span></a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="278"><span class="lineNum">     278 </span>            :     // ensure A and B are the same</a>
+<a name="279"><span class="lineNum">     279 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span>            :     bool ok ;</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          1 :     TEST_CHECK (ok) ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Test for A and B equal failed: karate matrix&quot;) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="287"><span class="lineNum">     287 </span>            :     // free workspace and finish the test</a>
+<a name="288"><span class="lineNum">     288 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;B)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          1 : }</span></a>
+<a name="294"><span class="lineNum">     294 </span>            : </a>
+<a name="295"><span class="lineNum">     295 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="296"><span class="lineNum">     296 </span>            : // test_failures: test for failure modes of LAGraph_MMRead and MMWrite</a>
+<a name="297"><span class="lineNum">     297 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="298"><span class="lineNum">     298 </span>            : </a>
+<a name="299"><span class="lineNum">     299 </span>            : typedef struct</a>
+<a name="300"><span class="lineNum">     300 </span>            : {</a>
+<a name="301"><span class="lineNum">     301 </span>            :     int error ;</a>
+<a name="302"><span class="lineNum">     302 </span>            :     const char *name ;</a>
+<a name="303"><span class="lineNum">     303 </span>            : }</a>
+<a name="304"><span class="lineNum">     304 </span>            : mangled_matrix_info ;</a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span>            : const mangled_matrix_info mangled_files [ ] =</a>
+<a name="307"><span class="lineNum">     307 </span>            : {</a>
+<a name="308"><span class="lineNum">     308 </span>            : //  error             filename              how the matrix is mangled</a>
+<a name="309"><span class="lineNum">     309 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled1.mtx&quot;,       // bad header</a>
+<a name="310"><span class="lineNum">     310 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled2.mtx&quot;,       // bad header</a>
+<a name="311"><span class="lineNum">     311 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled3.mtx&quot;,       // bad type</a>
+<a name="312"><span class="lineNum">     312 </span>            :     GrB_NOT_IMPLEMENTED, &quot;complex.mtx&quot;,     // valid complex, but not supported</a>
+<a name="313"><span class="lineNum">     313 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled4.mtx&quot;,       // bad format</a>
+<a name="314"><span class="lineNum">     314 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled5.mtx&quot;,       // invalid format options</a>
+<a name="315"><span class="lineNum">     315 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled6.mtx&quot;,       // invalid format options</a>
+<a name="316"><span class="lineNum">     316 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled7.mtx&quot;,       // invalid GraphBLAS type</a>
+<a name="317"><span class="lineNum">     317 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled8.mtx&quot;,       // invalid first line</a>
+<a name="318"><span class="lineNum">     318 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled9.mtx&quot;,       // symmetric and rectangular</a>
+<a name="319"><span class="lineNum">     319 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled10.mtx&quot;,      // truncated</a>
+<a name="320"><span class="lineNum">     320 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled11.mtx&quot;,      // entries mangled</a>
+<a name="321"><span class="lineNum">     321 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled12.mtx&quot;,      // entries mangled</a>
+<a name="322"><span class="lineNum">     322 </span>            :     GrB_INDEX_OUT_OF_BOUNDS, &quot;mangled13.mtx&quot;,// indices out of range</a>
+<a name="323"><span class="lineNum">     323 </span>            :     GrB_INVALID_VALUE, &quot;mangled14.mtx&quot;,     // duplicate entries</a>
+<a name="324"><span class="lineNum">     324 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_bool.mtx&quot;,   // entry value out of range</a>
+<a name="325"><span class="lineNum">     325 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_int8.mtx&quot;,   // entry value out of range</a>
+<a name="326"><span class="lineNum">     326 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_int16.mtx&quot;,  // entry value out of range</a>
+<a name="327"><span class="lineNum">     327 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_int32.mtx&quot;,  // entry value out of range</a>
+<a name="328"><span class="lineNum">     328 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_uint8.mtx&quot;,  // entry value out of range</a>
+<a name="329"><span class="lineNum">     329 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_uint16.mtx&quot;, // entry value out of range</a>
+<a name="330"><span class="lineNum">     330 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_uint32.mtx&quot;, // entry value out of range</a>
+<a name="331"><span class="lineNum">     331 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_skew.mtx&quot;,   // unsigned skew invalid</a>
+<a name="332"><span class="lineNum">     332 </span>            :     GrB_NOT_IMPLEMENTED, &quot;mangled15.mtx&quot;,   // complex not supported</a>
+<a name="333"><span class="lineNum">     333 </span>            :     GrB_NOT_IMPLEMENTED, &quot;mangled16.mtx&quot;,   // complex not supported</a>
+<a name="334"><span class="lineNum">     334 </span>            :     LAGRAPH_IO_ERROR, &quot;mangled_format.mtx&quot;, // &quot;array pattern&quot; invalid</a>
+<a name="335"><span class="lineNum">     335 </span>            :     0, &quot;&quot;,</a>
+<a name="336"><span class="lineNum">     336 </span>            : } ;</a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          1 : void test_MMRead_failures (void)</span></a>
+<a name="339"><span class="lineNum">     339 </span>            : {</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">          1 :     printf (&quot;\nTesting error handling of LAGraph_MMRead when giving it &quot;</span></a>
+<a name="342"><span class="lineNum">     342 </span>            :         &quot;mangled matrices:\n&quot;) ;</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span>            :     // input arguments are NULL</a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_MMRead (NULL, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_MMRead (&amp;A, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="349"><span class="lineNum">     349 </span>            : </a>
+<a name="350"><span class="lineNum">     350 </span>            :     // matrix files are mangled in some way, or unsupported</a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">         26 :     {</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">         27 :         const char *aname = mangled_files [k].name ;</span></a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">         27 :         if (strlen (aname) == 0) break;</span></a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">         26 :         TEST_CASE (aname) ;</span></a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">         26 :         int error = mangled_files [k].error ;</span></a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">         26 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">         26 :         printf (&quot;file: [%s]\n&quot;, filename) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">         26 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">         26 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">         26 :         int status = LAGraph_MMRead (&amp;A, f, msg) ;</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">         26 :         printf (&quot;error expected: %d %d [%s]\n&quot;, error, status, msg) ;</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">         26 :         TEST_CHECK (status == error) ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">         26 :         OK (fclose (f)) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">         26 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span>            :     }</a>
+<a name="367"><span class="lineNum">     367 </span>            : </a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          1 : }</span></a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="372"><span class="lineNum">     372 </span>            : // test_jumbled: test reading a jumbled matrix</a>
+<a name="373"><span class="lineNum">     373 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          1 : void test_jumbled (void)</span></a>
+<a name="376"><span class="lineNum">     376 </span>            : {</a>
+<a name="377"><span class="lineNum">     377 </span>            : </a>
+<a name="378"><span class="lineNum">     378 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="379"><span class="lineNum">     379 </span>            :     // start up the test</a>
+<a name="380"><span class="lineNum">     380 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="383"><span class="lineNum">     383 </span>            : </a>
+<a name="384"><span class="lineNum">     384 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="385"><span class="lineNum">     385 </span>            :     // load in the data/west0067.mtx file as the matrix A</a>
+<a name="386"><span class="lineNum">     386 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="387"><span class="lineNum">     387 </span>            : </a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;west0067.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (atype_name, &quot;double&quot;)) ;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of west0067.mtx failed&quot;) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span>            : </a>
+<a name="396"><span class="lineNum">     396 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="397"><span class="lineNum">     397 </span>            :     // load in the data/west0067_jumbled.mtx file as the matrix B</a>
+<a name="398"><span class="lineNum">     398 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="399"><span class="lineNum">     399 </span>            : </a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          1 :     f = fopen (LG_DATA_DIR &quot;west0067_jumbled.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (btype_name, &quot;double&quot;)) ;</span></a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of west0067_jumbled.mtx failed&quot;) ;</span></a>
+<a name="407"><span class="lineNum">     407 </span>            : </a>
+<a name="408"><span class="lineNum">     408 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="409"><span class="lineNum">     409 </span>            :     // ensure A and B are the same</a>
+<a name="410"><span class="lineNum">     410 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="411"><span class="lineNum">     411 </span>            : </a>
+<a name="412"><span class="lineNum">     412 </span>            :     bool ok ;</a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          1 :     TEST_CHECK (ok) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Test for A and B equal failed: west0067_jumbled.mtx matrix&quot;) ;</span></a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="418"><span class="lineNum">     418 </span>            :     // free workspace and finish the test</a>
+<a name="419"><span class="lineNum">     419 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="420"><span class="lineNum">     420 </span>            : </a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;B)) ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">          1 : }</span></a>
+<a name="425"><span class="lineNum">     425 </span>            : </a>
+<a name="426"><span class="lineNum">     426 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="427"><span class="lineNum">     427 </span>            : // test_MMWrite: test LAGraph_MMWrite</a>
+<a name="428"><span class="lineNum">     428 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="429"><span class="lineNum">     429 </span>            : </a>
+<a name="430"><span class="lineNum">     430 </span>            : const char* files_for_MMWrite [ ] =</a>
+<a name="431"><span class="lineNum">     431 </span>            : {</a>
+<a name="432"><span class="lineNum">     432 </span>            :     &quot;west0067.mtx&quot;,</a>
+<a name="433"><span class="lineNum">     433 </span>            :     &quot;full.mtx&quot;,</a>
+<a name="434"><span class="lineNum">     434 </span>            :     &quot;cover.mtx&quot;,</a>
+<a name="435"><span class="lineNum">     435 </span>            :     &quot;&quot;</a>
+<a name="436"><span class="lineNum">     436 </span>            : } ;</a>
+<a name="437"><span class="lineNum">     437 </span>            : </a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">          1 : void test_MMWrite (void)</span></a>
+<a name="439"><span class="lineNum">     439 </span>            : {</a>
+<a name="440"><span class="lineNum">     440 </span>            : </a>
+<a name="441"><span class="lineNum">     441 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="442"><span class="lineNum">     442 </span>            :     // start up the test</a>
+<a name="443"><span class="lineNum">     443 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="444"><span class="lineNum">     444 </span>            : </a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="446"><span class="lineNum">     446 </span>            : </a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">          3 :     {</span></a>
+<a name="449"><span class="lineNum">     449 </span>            : </a>
+<a name="450"><span class="lineNum">     450 </span>            :         //----------------------------------------------------------------------</a>
+<a name="451"><span class="lineNum">     451 </span>            :         // load in the kth file</a>
+<a name="452"><span class="lineNum">     452 </span>            :         //----------------------------------------------------------------------</a>
+<a name="453"><span class="lineNum">     453 </span>            : </a>
+<a name="454"><span class="lineNum">     454 </span><span class="lineCov">          4 :         const char *aname = files_for_MMWrite [k] ;</span></a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">          3 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="464"><span class="lineNum">     464 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="465"><span class="lineNum">     465 </span>            : </a>
+<a name="466"><span class="lineNum">     466 </span>            :         //----------------------------------------------------------------------</a>
+<a name="467"><span class="lineNum">     467 </span>            :         // create a file for comments</a>
+<a name="468"><span class="lineNum">     468 </span>            :         //----------------------------------------------------------------------</a>
+<a name="469"><span class="lineNum">     469 </span>            : </a>
+<a name="470"><span class="lineNum">     470 </span><span class="lineCov">          3 :         FILE *fcomments = fopen (LG_DATA_DIR &quot;comments.txt&quot;, &quot;wb&quot;) ;</span></a>
+<a name="471"><span class="lineNum">     471 </span><span class="lineCov">          3 :         TEST_CHECK (fcomments != NULL) ;</span></a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">          3 :         fprintf (fcomments, &quot; comments for %s\n&quot;, aname) ;</span></a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">          3 :         fprintf (fcomments, &quot; this file was created by test_MMRead.c\n&quot;) ;</span></a>
+<a name="474"><span class="lineNum">     474 </span><span class="lineCov">          3 :         fclose (fcomments) ;</span></a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Failed to create comments.txt&quot;) ;</span></a>
+<a name="476"><span class="lineNum">     476 </span>            : </a>
+<a name="477"><span class="lineNum">     477 </span>            :         //----------------------------------------------------------------------</a>
+<a name="478"><span class="lineNum">     478 </span>            :         // write the matrix to the data/comments_*.mtx file</a>
+<a name="479"><span class="lineNum">     479 </span>            :         //----------------------------------------------------------------------</a>
+<a name="480"><span class="lineNum">     480 </span>            : </a>
+<a name="481"><span class="lineNum">     481 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;comments_%s&quot;, aname) ;</span></a>
+<a name="482"><span class="lineNum">     482 </span><span class="lineCov">          3 :         fcomments = fopen (LG_DATA_DIR &quot;comments.txt&quot;, &quot;r&quot;) ;</span></a>
+<a name="483"><span class="lineNum">     483 </span><span class="lineCov">          3 :         FILE *foutput = fopen (filename, &quot;wb&quot;) ;</span></a>
+<a name="484"><span class="lineNum">     484 </span><span class="lineCov">          3 :         TEST_CHECK (foutput != NULL) ;</span></a>
+<a name="485"><span class="lineNum">     485 </span><span class="lineCov">          3 :         TEST_CHECK (fcomments != NULL) ;</span></a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">          3 :         OK (LAGraph_MMWrite (A, foutput, fcomments, msg)) ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">          3 :         fclose (fcomments) ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">          3 :         fclose (foutput) ;</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Failed to create %s&quot;, filename) ;</span></a>
+<a name="490"><span class="lineNum">     490 </span>            : </a>
+<a name="491"><span class="lineNum">     491 </span>            :         //----------------------------------------------------------------------</a>
+<a name="492"><span class="lineNum">     492 </span>            :         // load in the data/comments_.mtx file as the matrix B</a>
+<a name="493"><span class="lineNum">     493 </span>            :         //----------------------------------------------------------------------</a>
+<a name="494"><span class="lineNum">     494 </span>            : </a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">          3 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="496"><span class="lineNum">     496 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="497"><span class="lineNum">     497 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="498"><span class="lineNum">     498 </span>            : </a>
+<a name="499"><span class="lineNum">     499 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="500"><span class="lineNum">     500 </span><span class="lineCov">          3 :         TEST_CHECK (MATCHNAME (atype_name, btype_name)) ;</span></a>
+<a name="501"><span class="lineNum">     501 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of %s failed&quot;, filename) ;</span></a>
+<a name="503"><span class="lineNum">     503 </span>            : </a>
+<a name="504"><span class="lineNum">     504 </span>            :         //----------------------------------------------------------------------</a>
+<a name="505"><span class="lineNum">     505 </span>            :         // ensure A and B are the same</a>
+<a name="506"><span class="lineNum">     506 </span>            :         //----------------------------------------------------------------------</a>
+<a name="507"><span class="lineNum">     507 </span>            : </a>
+<a name="508"><span class="lineNum">     508 </span>            :         bool ok ;</a>
+<a name="509"><span class="lineNum">     509 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="510"><span class="lineNum">     510 </span><span class="lineCov">          3 :         TEST_CHECK (ok) ;</span></a>
+<a name="511"><span class="lineNum">     511 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Test for A and B equal failed: %s&quot;, filename) ;</span></a>
+<a name="512"><span class="lineNum">     512 </span>            : </a>
+<a name="513"><span class="lineNum">     513 </span>            :         //----------------------------------------------------------------------</a>
+<a name="514"><span class="lineNum">     514 </span>            :         // write a nan</a>
+<a name="515"><span class="lineNum">     515 </span>            :         //----------------------------------------------------------------------</a>
+<a name="516"><span class="lineNum">     516 </span>            : </a>
+<a name="517"><span class="lineNum">     517 </span><span class="lineCov">          3 :         if (k == 0)</span></a>
+<a name="518"><span class="lineNum">     518 </span>            :         {</a>
+<a name="519"><span class="lineNum">     519 </span><span class="lineCov">          1 :             OK (GrB_Matrix_setElement (A, NAN, 0, 0)) ;</span></a>
+<a name="520"><span class="lineNum">     520 </span>            :             double a ;</a>
+<a name="521"><span class="lineNum">     521 </span><span class="lineCov">          1 :             OK (GrB_Matrix_extractElement (&amp;a, A, 0, 0)) ;</span></a>
+<a name="522"><span class="lineNum">     522 </span><span class="lineCov">          1 :             TEST_CHECK (isnan (a)) ;</span></a>
+<a name="523"><span class="lineNum">     523 </span><span class="lineCov">          1 :             foutput = fopen (filename, &quot;wb&quot;) ;</span></a>
+<a name="524"><span class="lineNum">     524 </span><span class="lineCov">          1 :             fcomments = fopen (LG_DATA_DIR &quot;comments.txt&quot;, &quot;r&quot;) ;</span></a>
+<a name="525"><span class="lineNum">     525 </span><span class="lineCov">          1 :             TEST_CHECK (foutput != NULL) ;</span></a>
+<a name="526"><span class="lineNum">     526 </span><span class="lineCov">          1 :             OK (LAGraph_MMWrite (A, foutput, fcomments, msg)) ;</span></a>
+<a name="527"><span class="lineNum">     527 </span><span class="lineCov">          1 :             fclose (fcomments) ;</span></a>
+<a name="528"><span class="lineNum">     528 </span><span class="lineCov">          1 :             fclose (foutput) ;</span></a>
+<a name="529"><span class="lineNum">     529 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;A)) ;</span></a>
+<a name="530"><span class="lineNum">     530 </span><span class="lineCov">          1 :             f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="531"><span class="lineNum">     531 </span><span class="lineCov">          1 :             TEST_CHECK (f != NULL) ;</span></a>
+<a name="532"><span class="lineNum">     532 </span><span class="lineCov">          1 :             OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="533"><span class="lineNum">     533 </span><span class="lineCov">          1 :             fclose (f) ;</span></a>
+<a name="534"><span class="lineNum">     534 </span><span class="lineCov">          1 :             a = 0 ;</span></a>
+<a name="535"><span class="lineNum">     535 </span><span class="lineCov">          1 :             OK (GrB_Matrix_extractElement (&amp;a, A, 0, 0)) ;</span></a>
+<a name="536"><span class="lineNum">     536 </span><span class="lineCov">          1 :             TEST_CHECK (isnan (a)) ;</span></a>
+<a name="537"><span class="lineNum">     537 </span>            :         }</a>
+<a name="538"><span class="lineNum">     538 </span>            : </a>
+<a name="539"><span class="lineNum">     539 </span>            :         //----------------------------------------------------------------------</a>
+<a name="540"><span class="lineNum">     540 </span>            :         // free workspace</a>
+<a name="541"><span class="lineNum">     541 </span>            :         //----------------------------------------------------------------------</a>
+<a name="542"><span class="lineNum">     542 </span>            : </a>
+<a name="543"><span class="lineNum">     543 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="544"><span class="lineNum">     544 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="545"><span class="lineNum">     545 </span>            :     }</a>
+<a name="546"><span class="lineNum">     546 </span>            : </a>
+<a name="547"><span class="lineNum">     547 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="548"><span class="lineNum">     548 </span>            :     // finish the test</a>
+<a name="549"><span class="lineNum">     549 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="550"><span class="lineNum">     550 </span>            : </a>
+<a name="551"><span class="lineNum">     551 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="552"><span class="lineNum">     552 </span><span class="lineCov">          1 : }</span></a>
+<a name="553"><span class="lineNum">     553 </span>            : </a>
+<a name="554"><span class="lineNum">     554 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="555"><span class="lineNum">     555 </span>            : // test_MMWrite_failures: test error handling of LAGraph_MMWrite</a>
+<a name="556"><span class="lineNum">     556 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="557"><span class="lineNum">     557 </span>            : </a>
+<a name="558"><span class="lineNum">     558 </span>            : typedef int mytype ;</a>
+<a name="559"><span class="lineNum">     559 </span>            : </a>
+<a name="560"><span class="lineNum">     560 </span><span class="lineCov">          1 : void test_MMWrite_failures (void)</span></a>
+<a name="561"><span class="lineNum">     561 </span>            : {</a>
+<a name="562"><span class="lineNum">     562 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="563"><span class="lineNum">     563 </span><span class="lineCov">          1 :     GrB_Type atype = NULL ;</span></a>
+<a name="564"><span class="lineNum">     564 </span><span class="lineCov">          1 :     printf (&quot;\nTesting error handling of LAGraph_MMWrite\n&quot;) ;</span></a>
+<a name="565"><span class="lineNum">     565 </span>            : </a>
+<a name="566"><span class="lineNum">     566 </span>            :     // input arguments are NULL</a>
+<a name="567"><span class="lineNum">     567 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_MMWrite (NULL, NULL, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="568"><span class="lineNum">     568 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="569"><span class="lineNum">     569 </span>            : </a>
+<a name="570"><span class="lineNum">     570 </span>            :     // attempt to print a matrix with a user-defined type, which should fail</a>
+<a name="571"><span class="lineNum">     571 </span><span class="lineCov">          1 :     FILE *f = tmpfile ( ) ;</span></a>
+<a name="572"><span class="lineNum">     572 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="573"><span class="lineNum">     573 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;atype, sizeof (mytype))) ;</span></a>
+<a name="574"><span class="lineNum">     574 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, atype, 4, 4)) ;</span></a>
+<a name="575"><span class="lineNum">     575 </span><span class="lineCov">          1 :     int status = LAGraph_Matrix_Print (A, LAGraph_COMPLETE, stdout, msg) ;</span></a>
+<a name="576"><span class="lineNum">     576 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="577"><span class="lineNum">     577 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="578"><span class="lineNum">     578 </span><span class="lineCov">          1 :     status = LAGraph_MMWrite (A, f, NULL, msg) ;</span></a>
+<a name="579"><span class="lineNum">     579 </span><span class="lineCov">          1 :     printf (&quot;msg: %d [%s]\n&quot;, status, msg) ;</span></a>
+<a name="580"><span class="lineNum">     580 </span><span class="lineCov">          1 :     TEST_CHECK (status == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="581"><span class="lineNum">     581 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;atype)) ;</span></a>
+<a name="582"><span class="lineNum">     582 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="583"><span class="lineNum">     583 </span><span class="lineCov">          1 :     OK (fclose (f)) ;       // close and delete the temporary file</span></a>
+<a name="584"><span class="lineNum">     584 </span>            : </a>
+<a name="585"><span class="lineNum">     585 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="586"><span class="lineNum">     586 </span><span class="lineCov">          1 : }</span></a>
+<a name="587"><span class="lineNum">     587 </span>            : </a>
+<a name="588"><span class="lineNum">     588 </span>            : //------------------------------------------------------------------------------</a>
+<a name="589"><span class="lineNum">     589 </span>            : // test_MMReadWrite_brutal</a>
+<a name="590"><span class="lineNum">     590 </span>            : //------------------------------------------------------------------------------</a>
+<a name="591"><span class="lineNum">     591 </span>            : </a>
+<a name="592"><span class="lineNum">     592 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="593"><span class="lineNum">     593 </span><span class="lineCov">          1 : void test_MMReadWrite_brutal (void)</span></a>
+<a name="594"><span class="lineNum">     594 </span>            : {</a>
+<a name="595"><span class="lineNum">     595 </span>            : </a>
+<a name="596"><span class="lineNum">     596 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="597"><span class="lineNum">     597 </span>            :     // start up the test</a>
+<a name="598"><span class="lineNum">     598 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="599"><span class="lineNum">     599 </span>            : </a>
+<a name="600"><span class="lineNum">     600 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="601"><span class="lineNum">     601 </span>            : </a>
+<a name="602"><span class="lineNum">     602 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="603"><span class="lineNum">     603 </span><span class="lineCov">         51 :     {</span></a>
+<a name="604"><span class="lineNum">     604 </span>            : </a>
+<a name="605"><span class="lineNum">     605 </span>            :         //----------------------------------------------------------------------</a>
+<a name="606"><span class="lineNum">     606 </span>            :         // load in the kth file</a>
+<a name="607"><span class="lineNum">     607 </span>            :         //----------------------------------------------------------------------</a>
+<a name="608"><span class="lineNum">     608 </span>            : </a>
+<a name="609"><span class="lineNum">     609 </span><span class="lineCov">         52 :         const char *aname = files [k].name ;</span></a>
+<a name="610"><span class="lineNum">     610 </span><span class="lineCov">         52 :         if (strlen (aname) == 0) break;</span></a>
+<a name="611"><span class="lineNum">     611 </span><span class="lineCov">         51 :         TEST_CASE (aname) ;</span></a>
+<a name="612"><span class="lineNum">     612 </span><span class="lineCov">         51 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="613"><span class="lineNum">     613 </span><span class="lineCov">         51 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="614"><span class="lineNum">     614 </span><span class="lineCov">         51 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="615"><span class="lineNum">     615 </span><span class="lineCov">         51 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="616"><span class="lineNum">     616 </span><span class="lineCov">         51 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="617"><span class="lineNum">     617 </span><span class="lineCov">         51 :         OK (fclose (f)) ;</span></a>
+<a name="618"><span class="lineNum">     618 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="619"><span class="lineNum">     619 </span><span class="lineCov">         51 :         printf (&quot;\n&quot;) ;</span></a>
+<a name="620"><span class="lineNum">     620 </span>            : </a>
+<a name="621"><span class="lineNum">     621 </span>            :         //----------------------------------------------------------------------</a>
+<a name="622"><span class="lineNum">     622 </span>            :         // write it to a temporary file</a>
+<a name="623"><span class="lineNum">     623 </span>            :         //----------------------------------------------------------------------</a>
+<a name="624"><span class="lineNum">     624 </span>            : </a>
+<a name="625"><span class="lineNum">     625 </span><span class="lineCov">         51 :         for (int nbrutal = 0 ; ; nbrutal++)</span></a>
+<a name="626"><span class="lineNum">     626 </span><span class="lineCov">       1220 :         {</span></a>
+<a name="627"><span class="lineNum">     627 </span>            :             /* allow for only nbrutal mallocs before 'failing' */</a>
+<a name="628"><span class="lineNum">     628 </span><span class="lineCov">       1271 :             printf (&quot;.&quot;) ;</span></a>
+<a name="629"><span class="lineNum">     629 </span><span class="lineCov">       1271 :             LG_brutal = nbrutal ;</span></a>
+<a name="630"><span class="lineNum">     630 </span>            :             /* try the method with brutal malloc */</a>
+<a name="631"><span class="lineNum">     631 </span><span class="lineCov">       1271 :             f = tmpfile ( ) ;   // create a new temp file for each trial</span></a>
+<a name="632"><span class="lineNum">     632 </span><span class="lineCov">       1271 :             int brutal_result = LAGraph_MMWrite (A, f, NULL, msg) ;</span></a>
+<a name="633"><span class="lineNum">     633 </span><span class="lineCov">       1271 :             if (brutal_result &gt;= 0)</span></a>
+<a name="634"><span class="lineNum">     634 </span>            :             {</a>
+<a name="635"><span class="lineNum">     635 </span>            :                 /* the method finally succeeded */</a>
+<a name="636"><span class="lineNum">     636 </span>            :                 // leave the file open for the next phase</a>
+<a name="637"><span class="lineNum">     637 </span><span class="lineCov">         51 :                 printf (&quot; MMWrite ok: %d mallocs\n&quot;, nbrutal) ;</span></a>
+<a name="638"><span class="lineNum">     638 </span><span class="lineCov">         51 :                 break ;</span></a>
+<a name="639"><span class="lineNum">     639 </span>            :             }</a>
+<a name="640"><span class="lineNum">     640 </span><span class="lineCov">       1220 :             OK (fclose (f)) ;   // close and delete the file and try again</span></a>
+<a name="641"><span class="lineNum">     641 </span><span class="lineCov">       1220 :             if (nbrutal &gt; 10000) { printf (&quot;Infinite!\n&quot;) ; abort ( ) ; }</span></a>
+<a name="642"><span class="lineNum">     642 </span>            :         }</a>
+<a name="643"><span class="lineNum">     643 </span><span class="lineCov">         51 :         LG_brutal = -1 ;  /* turn off brutal mallocs */</span></a>
+<a name="644"><span class="lineNum">     644 </span>            : </a>
+<a name="645"><span class="lineNum">     645 </span>            :         //----------------------------------------------------------------------</a>
+<a name="646"><span class="lineNum">     646 </span>            :         // load it back in again</a>
+<a name="647"><span class="lineNum">     647 </span>            :         //----------------------------------------------------------------------</a>
+<a name="648"><span class="lineNum">     648 </span>            : </a>
+<a name="649"><span class="lineNum">     649 </span><span class="lineCov">         51 :         for (int nbrutal = 0 ; ; nbrutal++)</span></a>
+<a name="650"><span class="lineNum">     650 </span><span class="lineCov">        688 :         {</span></a>
+<a name="651"><span class="lineNum">     651 </span>            :             /* allow for only nbrutal mallocs before 'failing' */</a>
+<a name="652"><span class="lineNum">     652 </span><span class="lineCov">        739 :             printf (&quot;.&quot;) ;</span></a>
+<a name="653"><span class="lineNum">     653 </span><span class="lineCov">        739 :             LG_brutal = nbrutal ;</span></a>
+<a name="654"><span class="lineNum">     654 </span>            :             /* try the method with brutal malloc */</a>
+<a name="655"><span class="lineNum">     655 </span><span class="lineCov">        739 :             rewind (f) ;        // rewind the temp file for each trial</span></a>
+<a name="656"><span class="lineNum">     656 </span><span class="lineCov">        739 :             int brutal_result = LAGraph_MMRead (&amp;B, f, msg) ;</span></a>
+<a name="657"><span class="lineNum">     657 </span><span class="lineCov">        739 :             if (brutal_result &gt;= 0)</span></a>
+<a name="658"><span class="lineNum">     658 </span>            :             {</a>
+<a name="659"><span class="lineNum">     659 </span>            :                 /* the method finally succeeded */</a>
+<a name="660"><span class="lineNum">     660 </span><span class="lineCov">         51 :                 printf (&quot; MMRead ok: %d mallocs\n&quot;, nbrutal) ;</span></a>
+<a name="661"><span class="lineNum">     661 </span><span class="lineCov">         51 :                 OK (fclose (f)) ;   // finally close and delete the temp file</span></a>
+<a name="662"><span class="lineNum">     662 </span><span class="lineCov">         51 :                 break ;</span></a>
+<a name="663"><span class="lineNum">     663 </span>            :             }</a>
+<a name="664"><span class="lineNum">     664 </span><span class="lineCov">        688 :             if (nbrutal &gt; 10000) { printf (&quot;Infinite!\n&quot;) ; abort ( ) ; }</span></a>
+<a name="665"><span class="lineNum">     665 </span>            :         }</a>
+<a name="666"><span class="lineNum">     666 </span><span class="lineCov">         51 :         LG_brutal = -1 ;  /* turn off brutal mallocs */</span></a>
+<a name="667"><span class="lineNum">     667 </span>            : </a>
+<a name="668"><span class="lineNum">     668 </span>            :         //----------------------------------------------------------------------</a>
+<a name="669"><span class="lineNum">     669 </span>            :         // ensure A and B are the same</a>
+<a name="670"><span class="lineNum">     670 </span>            :         //----------------------------------------------------------------------</a>
+<a name="671"><span class="lineNum">     671 </span>            : </a>
+<a name="672"><span class="lineNum">     672 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="673"><span class="lineNum">     673 </span><span class="lineCov">         51 :         OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="674"><span class="lineNum">     674 </span><span class="lineCov">         51 :         TEST_CHECK (MATCHNAME (atype_name, btype_name)) ;</span></a>
+<a name="675"><span class="lineNum">     675 </span>            : </a>
+<a name="676"><span class="lineNum">     676 </span>            :         bool ok ;</a>
+<a name="677"><span class="lineNum">     677 </span><span class="lineCov">         51 :         OK (GrB_Matrix_wait (A, GrB_MATERIALIZE)) ;</span></a>
+<a name="678"><span class="lineNum">     678 </span><span class="lineCov">         51 :         OK (GrB_Matrix_wait (B, GrB_MATERIALIZE)) ;</span></a>
+<a name="679"><span class="lineNum">     679 </span><span class="lineCov">        325 :         LG_BRUTAL (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="680"><span class="lineNum">     680 </span><span class="lineCov">         51 :         TEST_CHECK (ok) ;</span></a>
+<a name="681"><span class="lineNum">     681 </span><span class="lineCov">         51 :         TEST_MSG (&quot;Failed test for equality, file: %s\n&quot;, aname) ;</span></a>
+<a name="682"><span class="lineNum">     682 </span>            : </a>
+<a name="683"><span class="lineNum">     683 </span>            :         //----------------------------------------------------------------------</a>
+<a name="684"><span class="lineNum">     684 </span>            :         // free workspace</a>
+<a name="685"><span class="lineNum">     685 </span>            :         //----------------------------------------------------------------------</a>
+<a name="686"><span class="lineNum">     686 </span>            : </a>
+<a name="687"><span class="lineNum">     687 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="688"><span class="lineNum">     688 </span><span class="lineCov">         51 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="689"><span class="lineNum">     689 </span>            :     }</a>
+<a name="690"><span class="lineNum">     690 </span>            : </a>
+<a name="691"><span class="lineNum">     691 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="692"><span class="lineNum">     692 </span>            :     // finish the test</a>
+<a name="693"><span class="lineNum">     693 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="694"><span class="lineNum">     694 </span>            : </a>
+<a name="695"><span class="lineNum">     695 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="696"><span class="lineNum">     696 </span><span class="lineCov">          1 : }</span></a>
+<a name="697"><span class="lineNum">     697 </span>            : #endif</a>
+<a name="698"><span class="lineNum">     698 </span>            : </a>
+<a name="699"><span class="lineNum">     699 </span>            : //------------------------------------------------------------------------------</a>
+<a name="700"><span class="lineNum">     700 </span>            : // test_array_pattern</a>
+<a name="701"><span class="lineNum">     701 </span>            : //------------------------------------------------------------------------------</a>
+<a name="702"><span class="lineNum">     702 </span>            : </a>
+<a name="703"><span class="lineNum">     703 </span><span class="lineCov">          1 : void test_array_pattern ( )</span></a>
+<a name="704"><span class="lineNum">     704 </span>            : {</a>
+<a name="705"><span class="lineNum">     705 </span>            : </a>
+<a name="706"><span class="lineNum">     706 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="707"><span class="lineNum">     707 </span>            :     // start up the test</a>
+<a name="708"><span class="lineNum">     708 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="709"><span class="lineNum">     709 </span>            : </a>
+<a name="710"><span class="lineNum">     710 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="711"><span class="lineNum">     711 </span>            : </a>
+<a name="712"><span class="lineNum">     712 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="713"><span class="lineNum">     713 </span>            :     // construct a dense 3-by-3 matrix of all 1's (iso-valued)</a>
+<a name="714"><span class="lineNum">     714 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="715"><span class="lineNum">     715 </span>            : </a>
+<a name="716"><span class="lineNum">     716 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_INT64, 3, 3)) ;</span></a>
+<a name="717"><span class="lineNum">     717 </span><span class="lineCov">          1 :     OK (GrB_Matrix_assign_INT64 (A, NULL, NULL, 1, GrB_ALL, 3, GrB_ALL, 3,</span></a>
+<a name="718"><span class="lineNum">     718 </span>            :         NULL)) ;</a>
+<a name="719"><span class="lineNum">     719 </span><span class="lineCov">          1 :     OK (GrB_Matrix_wait (A, GrB_MATERIALIZE)) ;</span></a>
+<a name="720"><span class="lineNum">     720 </span><span class="lineCov">          1 :     printf (&quot;\nA matrix:\n&quot;) ;</span></a>
+<a name="721"><span class="lineNum">     721 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (A, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="722"><span class="lineNum">     722 </span>            : </a>
+<a name="723"><span class="lineNum">     723 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="724"><span class="lineNum">     724 </span>            :     // write it to a temporary file</a>
+<a name="725"><span class="lineNum">     725 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="726"><span class="lineNum">     726 </span>            : </a>
+<a name="727"><span class="lineNum">     727 </span><span class="lineCov">          1 :     FILE *f = tmpfile ( ) ; // fopen (&quot;/tmp/mine.mtx&quot;, &quot;wb&quot;) ;</span></a>
+<a name="728"><span class="lineNum">     728 </span><span class="lineCov">          1 :     OK (LAGraph_MMWrite (A, f, NULL, msg)) ;</span></a>
+<a name="729"><span class="lineNum">     729 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Failed to write matrix to a temp file\n&quot;) ;</span></a>
+<a name="730"><span class="lineNum">     730 </span>            : //  OK (fclose (f)) ;</a>
+<a name="731"><span class="lineNum">     731 </span>            : </a>
+<a name="732"><span class="lineNum">     732 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="733"><span class="lineNum">     733 </span>            :     // load it back in again</a>
+<a name="734"><span class="lineNum">     734 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="735"><span class="lineNum">     735 </span>            : </a>
+<a name="736"><span class="lineNum">     736 </span><span class="lineCov">          1 :     rewind (f) ;</span></a>
+<a name="737"><span class="lineNum">     737 </span>            : //  f = fopen (&quot;/tmp/mine.mtx&quot;, &quot;r&quot;) ;</a>
+<a name="738"><span class="lineNum">     738 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="739"><span class="lineNum">     739 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Failed to load matrix from a temp file\n&quot;) ;</span></a>
+<a name="740"><span class="lineNum">     740 </span><span class="lineCov">          1 :     OK (fclose (f)) ;       // close and delete the temporary file</span></a>
+<a name="741"><span class="lineNum">     741 </span>            : </a>
+<a name="742"><span class="lineNum">     742 </span><span class="lineCov">          1 :     printf (&quot;\nB matrix:\n&quot;) ;</span></a>
+<a name="743"><span class="lineNum">     743 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_Print (B, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="744"><span class="lineNum">     744 </span>            : </a>
+<a name="745"><span class="lineNum">     745 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="746"><span class="lineNum">     746 </span>            :     // ensure A and B are the same</a>
+<a name="747"><span class="lineNum">     747 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="748"><span class="lineNum">     748 </span>            : </a>
+<a name="749"><span class="lineNum">     749 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="750"><span class="lineNum">     750 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (&quot;int64_t&quot;, btype_name)) ;</span></a>
+<a name="751"><span class="lineNum">     751 </span>            :     bool ok ;</a>
+<a name="752"><span class="lineNum">     752 </span><span class="lineCov">          1 :     OK (LAGraph_Matrix_IsEqual (&amp;ok, A, B, msg)) ;</span></a>
+<a name="753"><span class="lineNum">     753 </span><span class="lineCov">          1 :     TEST_CHECK (ok) ;</span></a>
+<a name="754"><span class="lineNum">     754 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Failed test for equality, dense 3-by-3\n&quot;) ;</span></a>
+<a name="755"><span class="lineNum">     755 </span>            : </a>
+<a name="756"><span class="lineNum">     756 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="757"><span class="lineNum">     757 </span>            :     // finish the test</a>
+<a name="758"><span class="lineNum">     758 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="759"><span class="lineNum">     759 </span>            : </a>
+<a name="760"><span class="lineNum">     760 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;A)) ;</span></a>
+<a name="761"><span class="lineNum">     761 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;B)) ;</span></a>
+<a name="762"><span class="lineNum">     762 </span>            : </a>
+<a name="763"><span class="lineNum">     763 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="764"><span class="lineNum">     764 </span><span class="lineCov">          1 : }</span></a>
+<a name="765"><span class="lineNum">     765 </span>            : </a>
+<a name="766"><span class="lineNum">     766 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="767"><span class="lineNum">     767 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="768"><span class="lineNum">     768 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="769"><span class="lineNum">     769 </span>            : </a>
+<a name="770"><span class="lineNum">     770 </span>            : TEST_LIST =</a>
+<a name="771"><span class="lineNum">     771 </span>            : {</a>
+<a name="772"><span class="lineNum">     772 </span>            :     { &quot;MMRead&quot;, test_MMRead },</a>
+<a name="773"><span class="lineNum">     773 </span>            :     { &quot;karate&quot;, test_karate },</a>
+<a name="774"><span class="lineNum">     774 </span>            :     { &quot;MMRead_failures&quot;, test_MMRead_failures },</a>
+<a name="775"><span class="lineNum">     775 </span>            :     { &quot;jumbled&quot;, test_jumbled },</a>
+<a name="776"><span class="lineNum">     776 </span>            :     { &quot;MMWrite&quot;, test_MMWrite },</a>
+<a name="777"><span class="lineNum">     777 </span>            :     { &quot;MMWrite_failures&quot;, test_MMWrite_failures },</a>
+<a name="778"><span class="lineNum">     778 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="779"><span class="lineNum">     779 </span>            :     { &quot;MMReadWrite_brutal&quot;, test_MMReadWrite_brutal },</a>
+<a name="780"><span class="lineNum">     780 </span>            :     #endif</a>
+<a name="781"><span class="lineNum">     781 </span>            :     { &quot;array_pattern&quot;, test_array_pattern },</a>
+<a name="782"><span class="lineNum">     782 </span>            :     { NULL, NULL }</a>
+<a name="783"><span class="lineNum">     783 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Malloc.c.func-sort-c.html b/src/test/test_Malloc.c.func-sort-c.html
new file mode 100644
index 0000000000..352373d5c2
--- /dev/null
+++ b/src/test/test_Malloc.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Malloc.c<span style="font-size: 80%;"> (<a href="test_Malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Malloc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Malloc.c.gcov.html#23">test_malloc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Malloc.c.func.html b/src/test/test_Malloc.c.func.html
new file mode 100644
index 0000000000..92ac41ceff
--- /dev/null
+++ b/src/test/test_Malloc.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Malloc.c<span style="font-size: 80%;"> (<a href="test_Malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Malloc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Malloc.c.gcov.html#23">test_malloc</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Malloc.c.gcov.html b/src/test/test_Malloc.c.gcov.html
new file mode 100644
index 0000000000..a26dba1c13
--- /dev/null
+++ b/src/test/test_Malloc.c.gcov.html
@@ -0,0 +1,197 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Malloc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Malloc.c<span style="font-size: 80%;"> (source / <a href="test_Malloc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Malloc.c: test LAGraph_Malloc and related methods</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // test_malloc</a>
+<a name="23"><span class="lineNum">      23 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">          1 : void test_malloc (void)</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            :     char *p ;</a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;p, 42, sizeof (char), msg)) ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="33"><span class="lineNum">      33 </span>            :     {</a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">         42 :         p [k] = (char) k ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            :     }</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;p, msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     TEST_CHECK (p == NULL) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     size_t huge = 1 + SIZE_MAX/2 ;</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            :     if (sizeof (size_t) &gt;= sizeof (uint64_t))</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :         LAGraph_Malloc ((void **) &amp;p, huge, sizeof (char), msg) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :         TEST_CHECK (p == NULL) ;    // was FAIL</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :         LAGraph_Calloc ((void **) &amp;p, huge, sizeof (char), msg) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :         TEST_CHECK (p == NULL) ;    // was FAIL</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :     }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     OK (LAGraph_Calloc ((void **) &amp;p, 42, sizeof (char), msg)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="51"><span class="lineNum">      51 </span>            :     {</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         42 :         TEST_CHECK (*p == '\0') ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            :     }</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;p, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     TEST_CHECK (p == NULL) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     OK (LAGraph_Free (NULL, NULL)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     LAGraph_Calloc_function = NULL ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     OK (LAGraph_Calloc ((void **) &amp;p, 42, sizeof (char), msg)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     TEST_CHECK (p != NULL) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         42 :         TEST_CHECK (*p == '\0') ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            :     }</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     OK (LAGraph_Realloc ((void **) &amp;p, 100, 42, sizeof (char), msg)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         42 :         TEST_CHECK (*p == '\0') ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     }</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">         59 :     for (int k = 42 ; k &lt; 100 ; k++)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">         58 :         p [k] = (char) k ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;p, NULL)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     TEST_CHECK (p == NULL) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     OK (LAGraph_Realloc ((void **) &amp;p, 80, 0, sizeof (char), msg)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     if (sizeof (size_t) &gt;= sizeof (uint64_t))</a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :         int s = (LAGraph_Realloc ((void **) &amp;p, huge, 80, sizeof (char), msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :         TEST_CHECK (s == GrB_OUT_OF_MEMORY) ;  // was FAIL</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         81 :     for (int k = 0 ; k &lt; 80 ; k++)</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     {</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         80 :         p [k] = (char) k ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          1 :     OK (LAGraph_Realloc ((void **) &amp;p, 80, 80, sizeof (char), msg)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         81 :     for (int k = 0 ; k &lt; 80 ; k++)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     {</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         80 :         TEST_CHECK (p [k] == (char) k) ;    // was FAIL</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     }</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :     LAGraph_Realloc_function = NULL ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     OK (LAGraph_Realloc ((void **) &amp;p, 100, 80, sizeof (char), msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         81 :     for (int k = 0 ; k &lt; 80 ; k++)</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :     {</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         80 :         TEST_CHECK (p [k] == (char) k) ;    // was FAIL</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     }</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;p, NULL)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     TEST_CHECK (p == NULL) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 : }</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="115"><span class="lineNum">     115 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            : TEST_LIST = {</a>
+<a name="118"><span class="lineNum">     118 </span>            :     {&quot;test_malloc&quot;, test_malloc},</a>
+<a name="119"><span class="lineNum">     119 </span>            :     // no brutal test needed</a>
+<a name="120"><span class="lineNum">     120 </span>            :     {NULL, NULL}</a>
+<a name="121"><span class="lineNum">     121 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Matrix_Structure.c.func-sort-c.html b/src/test/test_Matrix_Structure.c.func-sort-c.html
new file mode 100644
index 0000000000..f67be3e9be
--- /dev/null
+++ b/src/test/test_Matrix_Structure.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Matrix_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Matrix_Structure.c<span style="font-size: 80%;"> (<a href="test_Matrix_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Matrix_Structure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#60">test_Matrix_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#108">test_Matrix_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#156">test_Matrix_Structure_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Matrix_Structure.c.func.html b/src/test/test_Matrix_Structure.c.func.html
new file mode 100644
index 0000000000..af67e38dff
--- /dev/null
+++ b/src/test/test_Matrix_Structure.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Matrix_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Matrix_Structure.c<span style="font-size: 80%;"> (<a href="test_Matrix_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Matrix_Structure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#60">test_Matrix_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#108">test_Matrix_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Matrix_Structure.c.gcov.html#156">test_Matrix_Structure_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Matrix_Structure.c.gcov.html b/src/test/test_Matrix_Structure.c.gcov.html
new file mode 100644
index 0000000000..2f02e836b7
--- /dev/null
+++ b/src/test/test_Matrix_Structure.c.gcov.html
@@ -0,0 +1,262 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Matrix_Structure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Matrix_Structure.c<span style="font-size: 80%;"> (source / <a href="test_Matrix_Structure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntry">78</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Matrix_Structure.c:  test LAGraph_Matrix_Structure</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL, B = NULL, C = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Vector w = NULL, u = NULL, z = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : char btype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // setup: start a test</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          2 : }</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : // teardown: finalize a test</a>
+<a name="43"><span class="lineNum">      43 </span>            : //------------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          2 : }</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : // test_Matrix_Structure:  test LAGraph_Matrix_Structure</a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : const char *files [ ] =</a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span>            :     &quot;cover&quot;,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     &quot;lp_afiro&quot;,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     &quot;matrix_fp32&quot;,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     &quot;&quot;</a>
+<a name="60"><span class="lineNum">      60 </span>            : } ;</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 : void test_Matrix_Structure (void)</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : {</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          3 :     {</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :         // load the valued matrix as A</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          4 :         const char *aname = files [k] ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s.mtx&quot;, aname) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of valued matrix failed&quot;) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :         // load the structure as B</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s_structure.mtx&quot;, aname) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          3 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          3 :         TEST_CHECK (MATCHNAME (btype_name, &quot;bool&quot;)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of structure matrix failed&quot;) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :         // C = structure (A)</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_Structure (&amp;C, A, msg)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :         // ensure B and C are the same</a>
+<a name="93"><span class="lineNum">      93 </span>            :         bool ok ;</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, C, B, msg)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          3 :         TEST_CHECK (ok) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Test for C and B equal failed&quot;) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;C)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     }</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 : }</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            : //------------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : // test_Matrix_Structure_brutal</a>
+<a name="107"><span class="lineNum">     107 </span>            : //------------------------------------------------------------------------------</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 : void test_Matrix_Structure_brutal (void)</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : {</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          3 :     {</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :         // load the valued matrix as A</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          4 :         const char *aname = files [k] ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s.mtx&quot;, aname) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of valued matrix failed&quot;) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :         // load the structure as B</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s_structure.mtx&quot;, aname) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          3 :         f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;B, f, msg)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          3 :         TEST_CHECK (MATCHNAME (btype_name, &quot;bool&quot;)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of structure matrix failed&quot;) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :         // C = structure (A)</a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         22 :         LG_BRUTAL (LAGraph_Matrix_Structure (&amp;C, A, msg)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :         // ensure B and C are the same</a>
+<a name="141"><span class="lineNum">     141 </span>            :         bool ok ;</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          3 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, C, B, msg)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          3 :         TEST_CHECK (ok) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Test for C and B equal failed&quot;) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;A)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;B)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          3 :         OK (GrB_free (&amp;C)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :     }</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 : }</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : #endif</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            : //------------------------------------------------------------------------------</a>
+<a name="155"><span class="lineNum">     155 </span>            : // test_Matrix_Structure_failures: test LAGraph_Matrix_Structure error handling</a>
+<a name="156"><span class="lineNum">     156 </span>            : //------------------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 : void test_Matrix_Structure_failures (void)</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : {</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     C = NULL ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     int result = LAGraph_Matrix_Structure (NULL, NULL, msg) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: [%s]\n&quot;, msg) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     result = LAGraph_Matrix_Structure (&amp;C, NULL, msg) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     TEST_CHECK (C == NULL) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 : }</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="175"><span class="lineNum">     175 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="176"><span class="lineNum">     176 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            : TEST_LIST =</a>
+<a name="179"><span class="lineNum">     179 </span>            : {</a>
+<a name="180"><span class="lineNum">     180 </span>            :     { &quot;Matrix_Structure&quot;, test_Matrix_Structure },</a>
+<a name="181"><span class="lineNum">     181 </span>            :     { &quot;Matrix_Structure_failures&quot;, test_Matrix_Structure_failures },</a>
+<a name="182"><span class="lineNum">     182 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="183"><span class="lineNum">     183 </span>            :     { &quot;Matrix_Structure_brutal&quot;, test_Matrix_Structure_brutal },</a>
+<a name="184"><span class="lineNum">     184 </span>            :     #endif</a>
+<a name="185"><span class="lineNum">     185 </span>            :     { NULL, NULL }</a>
+<a name="186"><span class="lineNum">     186 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Multiply_size_t.c.func-sort-c.html b/src/test/test_Multiply_size_t.c.func-sort-c.html
new file mode 100644
index 0000000000..eed5f019e0
--- /dev/null
+++ b/src/test/test_Multiply_size_t.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Multiply_size_t.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Multiply_size_t.c<span style="font-size: 80%;"> (<a href="test_Multiply_size_t.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Multiply_size_t.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Multiply_size_t.c.gcov.html#23">test_multiply</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Multiply_size_t.c.func.html b/src/test/test_Multiply_size_t.c.func.html
new file mode 100644
index 0000000000..28f8845861
--- /dev/null
+++ b/src/test/test_Multiply_size_t.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Multiply_size_t.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Multiply_size_t.c<span style="font-size: 80%;"> (<a href="test_Multiply_size_t.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Multiply_size_t.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Multiply_size_t.c.gcov.html#23">test_multiply</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Multiply_size_t.c.gcov.html b/src/test/test_Multiply_size_t.c.gcov.html
new file mode 100644
index 0000000000..613893705f
--- /dev/null
+++ b/src/test/test_Multiply_size_t.c.gcov.html
@@ -0,0 +1,129 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Multiply_size_t.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Multiply_size_t.c<span style="font-size: 80%;"> (source / <a href="test_Multiply_size_t.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Multiply_size_t.c: test LG_Multiply_size_t</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // test_multiply</a>
+<a name="23"><span class="lineNum">      23 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">          1 : void test_multiply (void)</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 :     size_t c = 99 ;</span></a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 :     TEST_CHECK (LG_Multiply_size_t (&amp;c, (size_t) 0, (size_t) 42)) ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          1 :     TEST_CHECK (c == 0) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     TEST_CHECK (LG_Multiply_size_t (&amp;c, (size_t) 77, (size_t) 42)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 :     TEST_CHECK (c == 77 * 42) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     TEST_CHECK (!LG_Multiply_size_t (&amp;c, (size_t) SIZE_MAX, (size_t) 42)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     size_t a = SIZE_MAX / 2 ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     TEST_CHECK (!LG_Multiply_size_t (&amp;c, a, a)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 : }</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="47"><span class="lineNum">      47 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : TEST_LIST = {</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {&quot;test_multiply&quot;, test_multiply},</a>
+<a name="51"><span class="lineNum">      51 </span>            :     // no brutal test needed</a>
+<a name="52"><span class="lineNum">      52 </span>            :     {NULL, NULL}</a>
+<a name="53"><span class="lineNum">      53 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_New.c.func-sort-c.html b/src/test/test_New.c.func-sort-c.html
new file mode 100644
index 0000000000..a08df3c786
--- /dev/null
+++ b/src/test/test_New.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_New.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_New.c<span style="font-size: 80%;"> (<a href="test_New.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_New.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#65">test_New</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#112">test_New_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#152">test_New_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_New.c.func.html b/src/test/test_New.c.func.html
new file mode 100644
index 0000000000..7e9a1935a6
--- /dev/null
+++ b/src/test/test_New.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_New.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_New.c<span style="font-size: 80%;"> (<a href="test_New.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_New.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#65">test_New</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#112">test_New_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_New.c.gcov.html#152">test_New_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_New.c.gcov.html b/src/test/test_New.c.gcov.html
new file mode 100644
index 0000000000..621777d4bc
--- /dev/null
+++ b/src/test/test_New.c.gcov.html
@@ -0,0 +1,265 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_New.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_New.c<span style="font-size: 80%;"> (source / <a href="test_New.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntry">67</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_New.c:  test LAGraph_New and LAGraph_Delete</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char filename [LEN+1] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // setup: start a test</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          2 : }</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // teardown: finalize a test</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          2 : }</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // test_New:  test LAGraph_New</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : typedef struct</a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span>            :     LAGraph_Kind kind ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :     const char *name ;</a>
+<a name="56"><span class="lineNum">      56 </span>            : }</a>
+<a name="57"><span class="lineNum">      57 </span>            : matrix_info ;</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span>            : const matrix_info files [ ] =</a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     LAGRAPH_UNKNOWN,              &quot;&quot;</a>
+<a name="65"><span class="lineNum">      65 </span>            : } ;</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 : void test_New (void)</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : {</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          3 :     {</span></a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :         // load the adjacency matrix as A</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          4 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span>            :         // create the graph</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          3 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          3 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :         // check the graph</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          3 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          3 :         TEST_CHECK (G-&gt;kind == kind) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          3 :         if (kind == LAGraph_ADJACENCY_DIRECTED)</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :         {</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          2 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGRAPH_UNKNOWN) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :         }</a>
+<a name="97"><span class="lineNum">      97 </span>            :         else</a>
+<a name="98"><span class="lineNum">      98 </span>            :         {</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :             TEST_CHECK (G-&gt;is_symmetric_structure == LAGraph_TRUE) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :         }</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :         // free the graph</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          3 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          3 :         TEST_CHECK (G == NULL) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     }</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 : }</span></a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span>            : //------------------------------------------------------------------------------</a>
+<a name="110"><span class="lineNum">     110 </span>            : // test_New_brutal</a>
+<a name="111"><span class="lineNum">     111 </span>            : //------------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 : void test_New_brutal (void)</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : {</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          3 :     {</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :         // load the adjacency matrix as A</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          4 :         const char *aname = files [k].name ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          4 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          4 :         if (strlen (aname) == 0) break;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          3 :         TEST_CASE (aname) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          3 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          3 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          3 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          3 :         OK (fclose (f)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          3 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span>            :         // create the graph</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          6 :         LG_BRUTAL_BURBLE (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          3 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :         // check the graph</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          3 :         LG_BRUTAL_BURBLE (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :         // free the graph</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          3 :         LG_BRUTAL_BURBLE (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          3 :         TEST_CHECK (G == NULL) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :     }</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 : }</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : #endif</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            : //------------------------------------------------------------------------------</a>
+<a name="151"><span class="lineNum">     151 </span>            : // test_New_failures:  test error handling of LAGraph_New</a>
+<a name="152"><span class="lineNum">     152 </span>            : //------------------------------------------------------------------------------</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 : void test_New_failures (void)</span></a>
+<a name="155"><span class="lineNum">     155 </span>            : {</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :     // G cannot be NULL</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_New (NULL, NULL, 0, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span>            :     // create a graph with no adjacency matrix; this is OK, since the intent is</a>
+<a name="163"><span class="lineNum">     163 </span>            :     // to create a graph for which the adjacency matrix can be defined later,</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // via assigning it to G-&gt;A.  However, the graph will be declared invalid</a>
+<a name="165"><span class="lineNum">     165 </span>            :     // by LAGraph_CheckGraph since G-&gt;A is NULL.</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, NULL, 0, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_CheckGraph (G, msg) == LAGRAPH_INVALID_GRAPH) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     TEST_CHECK (G == NULL) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (NULL, msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 : }</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="179"><span class="lineNum">     179 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            : TEST_LIST =</a>
+<a name="182"><span class="lineNum">     182 </span>            : {</a>
+<a name="183"><span class="lineNum">     183 </span>            :     { &quot;New&quot;, test_New },</a>
+<a name="184"><span class="lineNum">     184 </span>            :     { &quot;New_failures&quot;, test_New_failures },</a>
+<a name="185"><span class="lineNum">     185 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="186"><span class="lineNum">     186 </span>            :     { &quot;New_brutal&quot;, test_New_brutal },</a>
+<a name="187"><span class="lineNum">     187 </span>            :     #endif</a>
+<a name="188"><span class="lineNum">     188 </span>            :     { NULL, NULL }</a>
+<a name="189"><span class="lineNum">     189 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_NumThreads.c.func-sort-c.html b/src/test/test_NumThreads.c.func-sort-c.html
new file mode 100644
index 0000000000..3e6d35deb6
--- /dev/null
+++ b/src/test/test_NumThreads.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_NumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_NumThreads.c<span style="font-size: 80%;"> (<a href="test_NumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_NumThreads.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_NumThreads.c.gcov.html#29">test_NumThreads</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_NumThreads.c.func.html b/src/test/test_NumThreads.c.func.html
new file mode 100644
index 0000000000..18bc7e4983
--- /dev/null
+++ b/src/test/test_NumThreads.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_NumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_NumThreads.c<span style="font-size: 80%;"> (<a href="test_NumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_NumThreads.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_NumThreads.c.gcov.html#29">test_NumThreads</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_NumThreads.c.gcov.html b/src/test/test_NumThreads.c.gcov.html
new file mode 100644
index 0000000000..1abf00c431
--- /dev/null
+++ b/src/test/test_NumThreads.c.gcov.html
@@ -0,0 +1,153 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_NumThreads.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_NumThreads.c<span style="font-size: 80%;"> (source / <a href="test_NumThreads.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntry">28</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_NumThreads.c:  test LAGraph_(Get,Set)NumThreads</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : int nthreads_outer = 0, nthreads_inner = 0 ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // test_NumThreads:  test LAGraph_GetNumThreads and LAGraph_SetNumThreads</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 : void test_NumThreads (void)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : {</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     nthreads_outer = 0 ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     nthreads_inner = 0 ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     OK (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_outer &gt; 0) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_inner &gt; 0) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     nthreads_outer = 0 ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     nthreads_inner = 0 ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :     OK (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, NULL)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_outer &gt; 0) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_inner &gt; 0) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (2, 4, msg)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     nthreads_outer = 0 ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     nthreads_inner = 0 ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     OK (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, msg)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_outer &gt; 0) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_inner &gt; 0) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (2, 4, NULL)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     nthreads_outer = 0 ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     nthreads_inner = 0 ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     OK (LAGraph_GetNumThreads (&amp;nthreads_outer, &amp;nthreads_inner, NULL)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_outer &gt; 0) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     TEST_CHECK (nthreads_inner &gt; 0) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_GetNumThreads (NULL, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 : }</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="70"><span class="lineNum">      70 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            : TEST_LIST =</a>
+<a name="73"><span class="lineNum">      73 </span>            : {</a>
+<a name="74"><span class="lineNum">      74 </span>            :     { &quot;NumThreads&quot;, test_NumThreads },</a>
+<a name="75"><span class="lineNum">      75 </span>            :     // no brutal test needed</a>
+<a name="76"><span class="lineNum">      76 </span>            :     { NULL, NULL }</a>
+<a name="77"><span class="lineNum">      77 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_PageRank.c.func-sort-c.html b/src/test/test_PageRank.c.func-sort-c.html
new file mode 100644
index 0000000000..91fa13be6a
--- /dev/null
+++ b/src/test/test_PageRank.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_PageRank.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_PageRank.c<span style="font-size: 80%;"> (<a href="test_PageRank.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_PageRank.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_PageRank.c.gcov.html#188">test_ranker</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_PageRank.c.gcov.html#32">difference</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_PageRank.c.func.html b/src/test/test_PageRank.c.func.html
new file mode 100644
index 0000000000..fcad91926c
--- /dev/null
+++ b/src/test/test_PageRank.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_PageRank.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_PageRank.c<span style="font-size: 80%;"> (<a href="test_PageRank.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_PageRank.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_PageRank.c.gcov.html#32">difference</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_PageRank.c.gcov.html#188">test_ranker</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_PageRank.c.gcov.html b/src/test/test_PageRank.c.gcov.html
new file mode 100644
index 0000000000..a836858eb1
--- /dev/null
+++ b/src/test/test_PageRank.c.gcov.html
@@ -0,0 +1,415 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_PageRank.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_PageRank.c<span style="font-size: 80%;"> (source / <a href="test_PageRank.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntry">97</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_PageRank.c: test cases for pagerank</a>
+<a name="3"><span class="lineNum">       3 </span>            : // -----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #define LEN 512</a>
+<a name="24"><span class="lineNum">      24 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char filename [LEN+1] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : //------------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            : // difference: compare the LAGraph and MATLAB results</a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : float difference (GrB_Vector centrality, double *matlab_result) ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          6 : float difference (GrB_Vector centrality, double *matlab_result)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          6 :     GrB_Vector diff = NULL, cmatlab = NULL ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          6 :     GrB_Index n = 0 ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          6 :     OK (GrB_Vector_size (&amp;n, centrality)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          6 :     OK (GrB_Vector_new (&amp;cmatlab, GrB_FP32, n)) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        228 :     for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :     {</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        222 :         OK (GrB_Vector_setElement_FP64 (cmatlab, matlab_result [i], i)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :     }</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // diff = max (abs (cmatlab - centrality))</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          6 :     OK (GrB_Vector_new (&amp;diff, GrB_FP32, n)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          6 :     OK (GrB_eWiseAdd (diff, NULL, NULL, GrB_MINUS_FP32, cmatlab, centrality,</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :         NULL)) ;</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          6 :     OK (GrB_apply (diff, NULL, NULL, GrB_ABS_FP32, diff, NULL)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          6 :     float err = 0 ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          6 :     OK (GrB_reduce (&amp;err, NULL, GrB_MAX_MONOID_FP32, diff, NULL)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          6 :     OK (GrB_free (&amp;diff)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          6 :     OK (GrB_free (&amp;cmatlab)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          6 :     return (err) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : }</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : // valid results for karate graph and west0067 graphs</a>
+<a name="58"><span class="lineNum">      58 </span>            : //------------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : // The first two matrices have no sinks (nodes with zero outdegree) so the</a>
+<a name="61"><span class="lineNum">      61 </span>            : // MATLAB centrality (G, 'pagerank'), LAGraph_VertextCentrality_PageRankGAP,</a>
+<a name="62"><span class="lineNum">      62 </span>            : // and LAGr_PageRank results will be essentially the same.</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            : // MATLAB computes in double precision, while LAGraph_*PageRank* computes in</a>
+<a name="65"><span class="lineNum">      65 </span>            : // single precision, so the difference will be about 1e-5 or so.</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            : double karate_rank [34] = {</a>
+<a name="68"><span class="lineNum">      68 </span>            :     0.0970011147,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     0.0528720584,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     0.0570750515,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     0.0358615175,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     0.0219857202,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     0.0291233505,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     0.0291233505,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     0.0244945048,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     0.0297681451,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     0.0143104668,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     0.0219857202,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     0.0095668739,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     0.0146475355,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     0.0295415677,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     0.0145381625,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     0.0145381625,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     0.0167900065,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     0.0145622041,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     0.0145381625,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     0.0196092670,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     0.0145381625,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     0.0145622041,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     0.0145381625,</a>
+<a name="91"><span class="lineNum">      91 </span>            :     0.0315206825,</a>
+<a name="92"><span class="lineNum">      92 </span>            :     0.0210719482,</a>
+<a name="93"><span class="lineNum">      93 </span>            :     0.0210013837,</a>
+<a name="94"><span class="lineNum">      94 </span>            :     0.0150430281,</a>
+<a name="95"><span class="lineNum">      95 </span>            :     0.0256382216,</a>
+<a name="96"><span class="lineNum">      96 </span>            :     0.0195723309,</a>
+<a name="97"><span class="lineNum">      97 </span>            :     0.0262863139,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     0.0245921424,</a>
+<a name="99"><span class="lineNum">      99 </span>            :     0.0371606178,</a>
+<a name="100"><span class="lineNum">     100 </span>            :     0.0716632142,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     0.1008786453 } ;</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            : double west0067_rank [67] = {</a>
+<a name="104"><span class="lineNum">     104 </span>            :     0.0233753869,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     0.0139102552,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     0.0123441027,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     0.0145657095,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     0.0142018541,</a>
+<a name="109"><span class="lineNum">     109 </span>            :     0.0100791606,</a>
+<a name="110"><span class="lineNum">     110 </span>            :     0.0128753395,</a>
+<a name="111"><span class="lineNum">     111 </span>            :     0.0143945684,</a>
+<a name="112"><span class="lineNum">     112 </span>            :     0.0110203141,</a>
+<a name="113"><span class="lineNum">     113 </span>            :     0.0110525383,</a>
+<a name="114"><span class="lineNum">     114 </span>            :     0.0119311961,</a>
+<a name="115"><span class="lineNum">     115 </span>            :     0.0072382247,</a>
+<a name="116"><span class="lineNum">     116 </span>            :     0.0188680398,</a>
+<a name="117"><span class="lineNum">     117 </span>            :     0.0141596605,</a>
+<a name="118"><span class="lineNum">     118 </span>            :     0.0174877889,</a>
+<a name="119"><span class="lineNum">     119 </span>            :     0.0170362099,</a>
+<a name="120"><span class="lineNum">     120 </span>            :     0.0120433909,</a>
+<a name="121"><span class="lineNum">     121 </span>            :     0.0219844489,</a>
+<a name="122"><span class="lineNum">     122 </span>            :     0.0195274443,</a>
+<a name="123"><span class="lineNum">     123 </span>            :     0.0394465722,</a>
+<a name="124"><span class="lineNum">     124 </span>            :     0.0112038726,</a>
+<a name="125"><span class="lineNum">     125 </span>            :     0.0090174094,</a>
+<a name="126"><span class="lineNum">     126 </span>            :     0.0140088120,</a>
+<a name="127"><span class="lineNum">     127 </span>            :     0.0122532937,</a>
+<a name="128"><span class="lineNum">     128 </span>            :     0.0153346283,</a>
+<a name="129"><span class="lineNum">     129 </span>            :     0.0135241334,</a>
+<a name="130"><span class="lineNum">     130 </span>            :     0.0158714693,</a>
+<a name="131"><span class="lineNum">     131 </span>            :     0.0149689529,</a>
+<a name="132"><span class="lineNum">     132 </span>            :     0.0144097230,</a>
+<a name="133"><span class="lineNum">     133 </span>            :     0.0137583019,</a>
+<a name="134"><span class="lineNum">     134 </span>            :     0.0314386080,</a>
+<a name="135"><span class="lineNum">     135 </span>            :     0.0092857745,</a>
+<a name="136"><span class="lineNum">     136 </span>            :     0.0081814168,</a>
+<a name="137"><span class="lineNum">     137 </span>            :     0.0102137827,</a>
+<a name="138"><span class="lineNum">     138 </span>            :     0.0096547214,</a>
+<a name="139"><span class="lineNum">     139 </span>            :     0.0129622400,</a>
+<a name="140"><span class="lineNum">     140 </span>            :     0.0244173417,</a>
+<a name="141"><span class="lineNum">     141 </span>            :     0.0173963657,</a>
+<a name="142"><span class="lineNum">     142 </span>            :     0.0127705717,</a>
+<a name="143"><span class="lineNum">     143 </span>            :     0.0143297446,</a>
+<a name="144"><span class="lineNum">     144 </span>            :     0.0140509341,</a>
+<a name="145"><span class="lineNum">     145 </span>            :     0.0104117131,</a>
+<a name="146"><span class="lineNum">     146 </span>            :     0.0173516407,</a>
+<a name="147"><span class="lineNum">     147 </span>            :     0.0149175105,</a>
+<a name="148"><span class="lineNum">     148 </span>            :     0.0119979624,</a>
+<a name="149"><span class="lineNum">     149 </span>            :     0.0095043613,</a>
+<a name="150"><span class="lineNum">     150 </span>            :     0.0153295328,</a>
+<a name="151"><span class="lineNum">     151 </span>            :     0.0077710930,</a>
+<a name="152"><span class="lineNum">     152 </span>            :     0.0259969472,</a>
+<a name="153"><span class="lineNum">     153 </span>            :     0.0126926269,</a>
+<a name="154"><span class="lineNum">     154 </span>            :     0.0088870166,</a>
+<a name="155"><span class="lineNum">     155 </span>            :     0.0080836101,</a>
+<a name="156"><span class="lineNum">     156 </span>            :     0.0096023576,</a>
+<a name="157"><span class="lineNum">     157 </span>            :     0.0091000837,</a>
+<a name="158"><span class="lineNum">     158 </span>            :     0.0246131958,</a>
+<a name="159"><span class="lineNum">     159 </span>            :     0.0159589365,</a>
+<a name="160"><span class="lineNum">     160 </span>            :     0.0183500031,</a>
+<a name="161"><span class="lineNum">     161 </span>            :     0.0155811507,</a>
+<a name="162"><span class="lineNum">     162 </span>            :     0.0157693756,</a>
+<a name="163"><span class="lineNum">     163 </span>            :     0.0116319823,</a>
+<a name="164"><span class="lineNum">     164 </span>            :     0.0230649292,</a>
+<a name="165"><span class="lineNum">     165 </span>            :     0.0149070613,</a>
+<a name="166"><span class="lineNum">     166 </span>            :     0.0157469640,</a>
+<a name="167"><span class="lineNum">     167 </span>            :     0.0134396036,</a>
+<a name="168"><span class="lineNum">     168 </span>            :     0.0189218603,</a>
+<a name="169"><span class="lineNum">     169 </span>            :     0.0114528518,</a>
+<a name="170"><span class="lineNum">     170 </span>            :     0.0223213267 } ;</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            : // ldbc-directed-example.mtx has two sinks: nodes 3 and 9</a>
+<a name="173"><span class="lineNum">     173 </span>            : // its pagerank must be computed with LAGr_PageRank.</a>
+<a name="174"><span class="lineNum">     174 </span>            : double ldbc_directed_example_rank [10] = {</a>
+<a name="175"><span class="lineNum">     175 </span>            :     0.1697481823,</a>
+<a name="176"><span class="lineNum">     176 </span>            :     0.0361514465,</a>
+<a name="177"><span class="lineNum">     177 </span>            :     0.1673241104,</a>
+<a name="178"><span class="lineNum">     178 </span>            :     0.1669092572,</a>
+<a name="179"><span class="lineNum">     179 </span>            :     0.1540948145,</a>
+<a name="180"><span class="lineNum">     180 </span>            :     0.0361514465,</a>
+<a name="181"><span class="lineNum">     181 </span>            :     0.0361514465,</a>
+<a name="182"><span class="lineNum">     182 </span>            :     0.1153655134,</a>
+<a name="183"><span class="lineNum">     183 </span>            :     0.0361514465,</a>
+<a name="184"><span class="lineNum">     184 </span>            :     0.0819523364 } ;</a>
+<a name="185"><span class="lineNum">     185 </span>            : </a>
+<a name="186"><span class="lineNum">     186 </span>            : //------------------------------------------------------------------------------</a>
+<a name="187"><span class="lineNum">     187 </span>            : // tesk_ranker</a>
+<a name="188"><span class="lineNum">     188 </span>            : //------------------------------------------------------------------------------</a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 : void test_ranker(void)</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : {</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 :     GrB_Vector centrality = NULL, cmatlab = NULL, diff = NULL ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     int niters = 0 ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            :     // karate: no sinks</a>
+<a name="199"><span class="lineNum">     199 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span>            :     // create the karate graph</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;karate.mtx&quot;) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span>            :     // compute its pagerank using the GAP method</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     OK (LAGr_PageRankGAP (&amp;centrality, &amp;niters, G, 0.85,</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :         1e-4, 100, msg)) ;</a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span>            :     // compare with MATLAB: cmatlab = centrality (G, 'pagerank')</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          1 :     float err = difference (centrality, karate_rank) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     float rsum = 0 ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     OK (GrB_reduce (&amp;rsum, NULL, GrB_PLUS_MONOID_FP32, centrality, NULL)) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     printf (&quot;\nkarate:   err: %e (GAP),      sum(r): %e iters: %d\n&quot;,</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :         err, rsum, niters) ;</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span>            :     // compute its pagerank using the standard method</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :     OK (LAGr_PageRank (&amp;centrality, &amp;niters, G, 0.85, 1e-4, 100, msg)) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span>            : </a>
+<a name="227"><span class="lineNum">     227 </span>            :     // compare with MATLAB: cmatlab = centrality (G, 'pagerank')</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          1 :     err = difference (centrality, karate_rank) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :     OK (GrB_reduce (&amp;rsum, NULL, GrB_PLUS_MONOID_FP32, centrality, NULL)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :     printf (&quot;karate:   err: %e (standard), sum(r): %e iters: %d\n&quot;,</span></a>
+<a name="231"><span class="lineNum">     231 </span>            :         err, rsum, niters) ;</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span>            :     // test for failure to converge</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     int status = LAGr_PageRank (&amp;centrality, &amp;niters, G, 0.85, 1e-4, 2, msg) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     printf (&quot;status: %d msg: %s\n&quot;, status, msg) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :     TEST_CHECK (status == LAGRAPH_CONVERGENCE_FAILURE) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="243"><span class="lineNum">     243 </span>            :     // west0067: no sinks</a>
+<a name="244"><span class="lineNum">     244 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            :     // create the west0067 graph</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;west0067.mtx&quot;) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span>            :     // compute its pagerank using the GAP method</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 :     OK (LAGr_PageRankGAP (&amp;centrality, &amp;niters, G, 0.85,</span></a>
+<a name="259"><span class="lineNum">     259 </span>            :         1e-4, 100, msg)) ;</a>
+<a name="260"><span class="lineNum">     260 </span>            : </a>
+<a name="261"><span class="lineNum">     261 </span>            :     // compare with MATLAB: cmatlab = centrality (G, 'pagerank')</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :     err = difference (centrality, west0067_rank) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     OK (GrB_reduce (&amp;rsum, NULL, GrB_PLUS_MONOID_FP32, centrality, NULL)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          1 :     printf (&quot;west0067: err: %e (GAP),      sum(r): %e iters: %d\n&quot;,</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :         err, rsum, niters) ;</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            : </a>
+<a name="269"><span class="lineNum">     269 </span>            :     // compute its pagerank using the standard method</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">          1 :     OK (LAGr_PageRank (&amp;centrality, &amp;niters, G, 0.85, 1e-4, 100, msg)) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span>            : </a>
+<a name="272"><span class="lineNum">     272 </span>            :     // compare with MATLAB: cmatlab = centrality (G, 'pagerank')</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          1 :     err = difference (centrality, west0067_rank) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     printf (&quot;west0067: err: %e (standard), sum(r): %e iters: %d\n&quot;,</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :         err, rsum, niters) ;</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span>            : </a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="280"><span class="lineNum">     280 </span>            : </a>
+<a name="281"><span class="lineNum">     281 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="282"><span class="lineNum">     282 </span>            :     // ldbc-directed-example: has 2 sinks</a>
+<a name="283"><span class="lineNum">     283 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :     // create the ldbc-directed-example graph</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 :     snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, &quot;ldbc-directed-example.mtx&quot;) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span>            : </a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          1 :     printf (&quot;\n=========== ldbc-directed-example, with sink nodes 3 and 9:\n&quot;) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">          1 :     OK (LAGraph_Graph_Print (G, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span>            : </a>
+<a name="299"><span class="lineNum">     299 </span>            :     // compute its pagerank using the GAP method (&quot;bleeds&quot; rank)</a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          1 :     OK (LAGr_PageRankGAP (&amp;centrality, &amp;niters, G, 0.85,</span></a>
+<a name="301"><span class="lineNum">     301 </span>            :         1e-4, 100, msg)) ;</a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">          1 :     err = difference (centrality, ldbc_directed_example_rank) ;</span></a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          1 :     OK (GrB_reduce (&amp;rsum, NULL, GrB_PLUS_MONOID_FP32, centrality, NULL)) ;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          1 :     printf (&quot;\nGAP-style page rank is expected to be wrong:\n&quot;) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          1 :     printf (&quot;ldbc-directed: err: %e (GAP), sum(r): %e, niters %d\n&quot;,</span></a>
+<a name="306"><span class="lineNum">     306 </span>            :         err, rsum, niters) ;</a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          1 :     printf (&quot;The GAP pagerank is incorrect for this method:\n&quot;) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (centrality, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span>            : </a>
+<a name="311"><span class="lineNum">     311 </span>            :     // compute its pagerank using the standard method</a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          1 :     OK (LAGr_PageRank (&amp;centrality, &amp;niters, G, 0.85, 1e-4, 100, msg)) ;</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span>            :     // compare with MATLAB: cmatlab = centrality (G, 'pagerank')</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">          1 :     err = difference (centrality, ldbc_directed_example_rank) ;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          1 :     OK (GrB_reduce (&amp;rsum, NULL, GrB_PLUS_MONOID_FP32, centrality, NULL)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          1 :     printf (&quot;\nwith sinks handled properly:\n&quot;) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">          1 :     printf (&quot;ldbc-directed: err: %e (standard), sum(r): %e, niters %d\n&quot;,</span></a>
+<a name="319"><span class="lineNum">     319 </span>            :         err, rsum, niters) ;</a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          1 :     TEST_CHECK (err &lt; 1e-4) ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          1 :     printf (&quot;This is the correct pagerank, with sinks handled properly:\n&quot;) ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (centrality, LAGraph_COMPLETE, stdout, msg)) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;centrality)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span>            : </a>
+<a name="327"><span class="lineNum">     327 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          1 : }</span></a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span>            : //------------------------------------------------------------------------------</a>
+<a name="333"><span class="lineNum">     333 </span>            : // list of tests</a>
+<a name="334"><span class="lineNum">     334 </span>            : //------------------------------------------------------------------------------</a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span>            : TEST_LIST = {</a>
+<a name="337"><span class="lineNum">     337 </span>            :     {&quot;test_ranker&quot;, test_ranker},</a>
+<a name="338"><span class="lineNum">     338 </span>            :     {NULL, NULL}</a>
+<a name="339"><span class="lineNum">     339 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SampleDegree.c.func-sort-c.html b/src/test/test_SampleDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..dbc8a92035
--- /dev/null
+++ b/src/test/test_SampleDegree.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SampleDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SampleDegree.c<span style="font-size: 80%;"> (<a href="test_SampleDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SampleDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#124">test_SampleDegree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#197">test_SampleDegree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#52">is_close</a></td>
+              <td class="coverFnHi">72</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SampleDegree.c.func.html b/src/test/test_SampleDegree.c.func.html
new file mode 100644
index 0000000000..4789ced32e
--- /dev/null
+++ b/src/test/test_SampleDegree.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SampleDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SampleDegree.c<span style="font-size: 80%;"> (<a href="test_SampleDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SampleDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#52">is_close</a></td>
+              <td class="coverFnHi">72</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#34">setup</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#43">teardown</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#124">test_SampleDegree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SampleDegree.c.gcov.html#197">test_SampleDegree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SampleDegree.c.gcov.html b/src/test/test_SampleDegree.c.gcov.html
new file mode 100644
index 0000000000..70e9f24a03
--- /dev/null
+++ b/src/test/test_SampleDegree.c.gcov.html
@@ -0,0 +1,334 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SampleDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SampleDegree.c<span style="font-size: 80%;"> (source / <a href="test_SampleDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntry">81</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_SampleDegree.c:  test LAGr_SampleDegree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : double mean, median ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : int ret_code ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : // setup: start a test</a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 : void setup (void)</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 : }</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : // teardown: finalize a test</a>
+<a name="43"><span class="lineNum">      43 </span>            : //------------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 : void teardown (void)</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 : }</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : // is_close: check whether two floats are close</a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         72 : bool is_close (double a, double b)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">         72 :     double abs_diff = fabs(a - b) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         72 :     return abs_diff &lt; 1e-6 ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : }</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            : //------------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            : // test_SampleDegree:  test LAGr_SampleDegree</a>
+<a name="62"><span class="lineNum">      62 </span>            : //------------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            : typedef struct</a>
+<a name="65"><span class="lineNum">      65 </span>            : {</a>
+<a name="66"><span class="lineNum">      66 </span>            :     const char *name ;</a>
+<a name="67"><span class="lineNum">      67 </span>            :     const double row_mean ;</a>
+<a name="68"><span class="lineNum">      68 </span>            :     const double row_median ;</a>
+<a name="69"><span class="lineNum">      69 </span>            :     const double col_mean ;</a>
+<a name="70"><span class="lineNum">      70 </span>            :     const double col_median ;</a>
+<a name="71"><span class="lineNum">      71 </span>            :     const int64_t nsamples ;</a>
+<a name="72"><span class="lineNum">      72 </span>            :     const uint64_t seed ;</a>
+<a name="73"><span class="lineNum">      73 </span>            : }</a>
+<a name="74"><span class="lineNum">      74 </span>            : matrix_info ;</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : const matrix_info files [ ] =</a>
+<a name="77"><span class="lineNum">      77 </span>            : {</a>
+<a name="78"><span class="lineNum">      78 </span>            :     { &quot;A.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :         4.6, 5.0,</a>
+<a name="80"><span class="lineNum">      80 </span>            :         4.6, 5.0,</a>
+<a name="81"><span class="lineNum">      81 </span>            :         5, 123456 },</a>
+<a name="82"><span class="lineNum">      82 </span>            :      { &quot;LFAT5.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :         2.2, 2.0,</a>
+<a name="84"><span class="lineNum">      84 </span>            :         2.2, 2.0,</a>
+<a name="85"><span class="lineNum">      85 </span>            :         5, 123456 },</a>
+<a name="86"><span class="lineNum">      86 </span>            :      { &quot;cover.mtx&quot;,</a>
+<a name="87"><span class="lineNum">      87 </span>            :         1.4, 1.0,</a>
+<a name="88"><span class="lineNum">      88 </span>            :         2.4, 3.0,</a>
+<a name="89"><span class="lineNum">      89 </span>            :         5, 123456 },</a>
+<a name="90"><span class="lineNum">      90 </span>            :      { &quot;full.mtx&quot;,</a>
+<a name="91"><span class="lineNum">      91 </span>            :         3.0, 3.0,</a>
+<a name="92"><span class="lineNum">      92 </span>            :         3.0, 3.0,</a>
+<a name="93"><span class="lineNum">      93 </span>            :         5, 123456 },</a>
+<a name="94"><span class="lineNum">      94 </span>            :      { &quot;full_symmetric.mtx&quot;,</a>
+<a name="95"><span class="lineNum">      95 </span>            :         4.0, 4.0,</a>
+<a name="96"><span class="lineNum">      96 </span>            :         4.0, 4.0,</a>
+<a name="97"><span class="lineNum">      97 </span>            :         5, 123456 },</a>
+<a name="98"><span class="lineNum">      98 </span>            :      { &quot;karate.mtx&quot;,</a>
+<a name="99"><span class="lineNum">      99 </span>            :         3.0, 3.0,</a>
+<a name="100"><span class="lineNum">     100 </span>            :         3.0, 3.0,</a>
+<a name="101"><span class="lineNum">     101 </span>            :         5, 123456 },</a>
+<a name="102"><span class="lineNum">     102 </span>            :      // Add karate two more times to test seed and nsamples</a>
+<a name="103"><span class="lineNum">     103 </span>            :      { &quot;karate.mtx&quot;,</a>
+<a name="104"><span class="lineNum">     104 </span>            :         3.46666666667, 3.0,</a>
+<a name="105"><span class="lineNum">     105 </span>            :         3.46666666667, 3.0,</a>
+<a name="106"><span class="lineNum">     106 </span>            :         15, 123456 },</a>
+<a name="107"><span class="lineNum">     107 </span>            :      { &quot;karate.mtx&quot;,</a>
+<a name="108"><span class="lineNum">     108 </span>            :         8.4, 6.0,</a>
+<a name="109"><span class="lineNum">     109 </span>            :         8.4, 6.0,</a>
+<a name="110"><span class="lineNum">     110 </span>            :         5, 87654432 },</a>
+<a name="111"><span class="lineNum">     111 </span>            :      { &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="112"><span class="lineNum">     112 </span>            :         2.2, 2.0,</a>
+<a name="113"><span class="lineNum">     113 </span>            :         1.8, 2.0,</a>
+<a name="114"><span class="lineNum">     114 </span>            :         5, 123456 },</a>
+<a name="115"><span class="lineNum">     115 </span>            : //   { &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="116"><span class="lineNum">     116 </span>            : //      2.5, 3.0,</a>
+<a name="117"><span class="lineNum">     117 </span>            : //      3.8, 3.0,</a>
+<a name="118"><span class="lineNum">     118 </span>            : //      10, 123456 },</a>
+<a name="119"><span class="lineNum">     119 </span>            :     { &quot;&quot;, 0.0, 0.0, 0.0, 0.0, 1, 0 }</a>
+<a name="120"><span class="lineNum">     120 </span>            : } ;</a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            : // test_SampleDegree</a>
+<a name="124"><span class="lineNum">     124 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 : void test_SampleDegree (void)</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : {</a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          9 :     {</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         // load the matrix as A</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         10 :         const char *aname = files [k].name ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          9 :         printf (&quot;\n==================== Test case: %s\n&quot;, aname) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          9 :         OK (fclose (f)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          9 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :         // SampleDegree requires degrees to be precomputed</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">         18 :         ret_code = LAGr_SampleDegree (&amp;mean, &amp;median, G, 1,</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          9 :             files [k].nsamples, files [k].seed, msg) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          9 :         TEST_CHECK (ret_code == LAGRAPH_NOT_CACHED) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          9 :         TEST_MSG (&quot;SampleDegree without row degrees precomputed succeeded&quot;) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         18 :         ret_code = LAGr_SampleDegree (&amp;mean, &amp;median, G, 0,</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          9 :             files [k].nsamples, files [k].seed, msg) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          9 :         TEST_CHECK (ret_code == LAGRAPH_NOT_CACHED) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          9 :         TEST_MSG (&quot;SampleDegree without column degrees precomputed succeeded&quot;) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            :         // Compute and check the row samples</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          9 :         OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          9 :         OK (LAGr_SampleDegree (&amp;mean, &amp;median, G, 1,</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :             files [k].nsamples, files [k].seed, msg)) ;</a>
+<a name="164"><span class="lineNum">     164 </span>            : </a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(mean, files [k].row_mean)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Row Mean Expected: %f&quot;, files [k].row_mean) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Row Mean Produced: %f&quot;, mean) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(median, files [k].row_median)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Row Median Expected: %f&quot;, files [k].row_median) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Row Median Produced: %f&quot;, median) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :         // Compute the column samples</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          9 :         OK (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          9 :         OK (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          9 :         OK (LAGr_SampleDegree (&amp;mean, &amp;median, G, 0,</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :             files [k].nsamples, files [k].seed, msg)) ;</a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(mean, files [k].col_mean)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Column Mean Expected: %f&quot;, files [k].col_mean) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Column Mean Produced: %f&quot;, mean) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(median, files [k].col_median)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Column Median Expected: %f&quot;, files [k].col_median) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Column Median Produced: %f&quot;, median) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :     }</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 : }</span></a>
+<a name="193"><span class="lineNum">     193 </span>            : </a>
+<a name="194"><span class="lineNum">     194 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="195"><span class="lineNum">     195 </span>            : // test_SampleDegree_brutal</a>
+<a name="196"><span class="lineNum">     196 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 : void test_SampleDegree_brutal (void)</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : {</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          9 :     {</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         // load the matrix as A</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         10 :         const char *aname = files [k].name ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          9 :         printf (&quot;\n==================== Test case: %s\n&quot;, aname) ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          9 :         OK (fclose (f)) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span>            : </a>
+<a name="218"><span class="lineNum">     218 </span>            :         // construct the graph G with adjacency matrix A</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          9 :         TEST_CHECK (A == NULL) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span>            :         // Compute and check the row samples</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         67 :         LG_BRUTAL (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         18 :         LG_BRUTAL (LAGr_SampleDegree (&amp;mean, &amp;median, G, 1,</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :             files [k].nsamples, files [k].seed, msg)) ;</a>
+<a name="226"><span class="lineNum">     226 </span>            : </a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(mean, files [k].row_mean)) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(median, files [k].row_median)) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span>            :         // Compute the column samples</a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          9 :         LG_BRUTAL (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            : </a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         78 :         LG_BRUTAL (LAGraph_Cached_InDegree (G, msg)) ;</span></a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">         18 :         LG_BRUTAL (LAGr_SampleDegree (&amp;mean, &amp;median, G, 0,</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :             files [k].nsamples, files [k].seed, msg)) ;</a>
+<a name="236"><span class="lineNum">     236 </span>            : </a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(mean, files [k].col_mean)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          9 :         TEST_CHECK (is_close(median, files [k].col_median)) ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :     }</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 : }</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : #endif</a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="248"><span class="lineNum">     248 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="249"><span class="lineNum">     249 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span>            : TEST_LIST =</a>
+<a name="252"><span class="lineNum">     252 </span>            : {</a>
+<a name="253"><span class="lineNum">     253 </span>            :     { &quot;SampleDegree&quot;, test_SampleDegree },</a>
+<a name="254"><span class="lineNum">     254 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="255"><span class="lineNum">     255 </span>            :     { &quot;SampleDegree_brutal&quot;, test_SampleDegree_brutal },</a>
+<a name="256"><span class="lineNum">     256 </span>            :     #endif</a>
+<a name="257"><span class="lineNum">     257 </span>            :     { NULL, NULL }</a>
+<a name="258"><span class="lineNum">     258 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SingleSourceShortestPath.c.func-sort-c.html b/src/test/test_SingleSourceShortestPath.c.func-sort-c.html
new file mode 100644
index 0000000000..91da7f4537
--- /dev/null
+++ b/src/test/test_SingleSourceShortestPath.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SingleSourceShortestPath.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SingleSourceShortestPath.c<span style="font-size: 80%;"> (<a href="test_SingleSourceShortestPath.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SingleSourceShortestPath.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#69">test_SingleSourceShortestPath</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#352">test_SingleSourceShortestPath_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#310">test_SingleSourceShortestPath_failure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#175">test_SingleSourceShortestPath_types</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SingleSourceShortestPath.c.func.html b/src/test/test_SingleSourceShortestPath.c.func.html
new file mode 100644
index 0000000000..414c265956
--- /dev/null
+++ b/src/test/test_SingleSourceShortestPath.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SingleSourceShortestPath.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SingleSourceShortestPath.c<span style="font-size: 80%;"> (<a href="test_SingleSourceShortestPath.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SingleSourceShortestPath.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#69">test_SingleSourceShortestPath</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#352">test_SingleSourceShortestPath_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#310">test_SingleSourceShortestPath_failure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SingleSourceShortestPath.c.gcov.html#175">test_SingleSourceShortestPath_types</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
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+</html>
diff --git a/src/test/test_SingleSourceShortestPath.c.gcov.html b/src/test/test_SingleSourceShortestPath.c.gcov.html
new file mode 100644
index 0000000000..851e6c13ef
--- /dev/null
+++ b/src/test/test_SingleSourceShortestPath.c.gcov.html
@@ -0,0 +1,532 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SingleSourceShortestPath.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SingleSourceShortestPath.c<span style="font-size: 80%;"> (source / <a href="test_SingleSourceShortestPath.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntry">225</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_SingleSourceShortestPath.c: test cases for SSSP</a>
+<a name="3"><span class="lineNum">       3 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #define LEN 512</a>
+<a name="27"><span class="lineNum">      27 </span>            : char filename [LEN+1] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : typedef struct</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            :     const char *name ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : }</a>
+<a name="34"><span class="lineNum">      34 </span>            : matrix_info ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : const matrix_info files [ ] =</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            :     { &quot;A.mtx&quot; },</a>
+<a name="39"><span class="lineNum">      39 </span>            :     { &quot;cover.mtx&quot; },</a>
+<a name="40"><span class="lineNum">      40 </span>            :     { &quot;jagmesh7.mtx&quot; },</a>
+<a name="41"><span class="lineNum">      41 </span>            :     { &quot;ldbc-cdlp-directed-example.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     { &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     { &quot;ldbc-directed-example.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     { &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     { &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     { &quot;LFAT5.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     { &quot;LFAT5_hypersparse.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { &quot;msf1.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     { &quot;msf2.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { &quot;msf3.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     { &quot;sample2.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     { &quot;sample.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     { &quot;olm1000.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     { &quot;bcsstk13.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     { &quot;cryg2500.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     { &quot;tree-example.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     { &quot;west0067.mtx&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            :     { &quot;karate.mtx&quot; },</a>
+<a name="59"><span class="lineNum">      59 </span>            :     { &quot;matrix_bool.mtx&quot; },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     { &quot;test_BF.mtx&quot; },</a>
+<a name="61"><span class="lineNum">      61 </span>            :     { &quot;test_FW_1000.mtx&quot; },</a>
+<a name="62"><span class="lineNum">      62 </span>            :     { &quot;test_FW_2003.mtx&quot; },</a>
+<a name="63"><span class="lineNum">      63 </span>            :     { &quot;test_FW_2500.mtx&quot; },</a>
+<a name="64"><span class="lineNum">      64 </span>            :     { &quot;skew_fp32.mtx&quot; },</a>
+<a name="65"><span class="lineNum">      65 </span>            :     { &quot;matrix_uint32.mtx&quot; },</a>
+<a name="66"><span class="lineNum">      66 </span>            :     { &quot;matrix_uint64.mtx&quot; },</a>
+<a name="67"><span class="lineNum">      67 </span>            :     { &quot;&quot; },</a>
+<a name="68"><span class="lineNum">      68 </span>            : } ;</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            : //****************************************************************************</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 : void test_SingleSourceShortestPath(void)</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : {</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     LAGraph_Init(msg);</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, T = NULL ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     GrB_Scalar Delta = NULL ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     OK (GrB_Scalar_new (&amp;Delta, GrB_INT32)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         29 :     {</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :         // load the adjacency matrix as A</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         30 :         const char *aname = files [k].name ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">         30 :         LAGraph_Kind kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :         // LAGraph_Kind kind = files [k].kind ;</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">         30 :         if (strlen (aname) == 0) break;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         29 :         TEST_CASE (aname) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         29 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         29 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         29 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         29 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         29 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         29 :         OK (fclose (f)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         29 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         29 :         GrB_Index n = 0, ncols = 1 ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         29 :         OK (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         29 :         OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         29 :         TEST_CHECK (n == ncols) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            :         // convert A to int32</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">         29 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         29 :         if (!MATCHNAME (atype_name, &quot;int32_t&quot;))</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :         {</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         28 :             OK (GrB_Matrix_new (&amp;T, GrB_INT32, n, n)) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         28 :             OK (GrB_assign (T, NULL, NULL, A, GrB_ALL, n, GrB_ALL, n, NULL)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         28 :             OK (GrB_free (&amp;A)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         28 :             A = T ;</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :         }</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :         // ensure all entries are positive, and in the range 1 to 255</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         29 :         OK (GrB_Matrix_apply_BinaryOp2nd_INT32 (A, NULL, NULL,</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :             GrB_BAND_INT32, A, 255, NULL)) ;</a>
+<a name="113"><span class="lineNum">     113 </span>            :         int32_t x ;</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         29 :         OK (GrB_reduce (&amp;x, NULL, GrB_MIN_MONOID_INT32, A, NULL)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         29 :         if (x &lt; 1)</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :         {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         14 :             OK (GrB_Matrix_apply_BinaryOp2nd_INT32 (A, NULL, NULL,</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :                 GrB_MAX_INT32, A, 1, NULL)) ;</a>
+<a name="119"><span class="lineNum">     119 </span>            :         }</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :         // create the graph</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         29 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         29 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         29 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :         // no need to compute emin; just use a bound</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         29 :         OK (GrB_Scalar_new (&amp;(G-&gt;emin), GrB_INT32)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">         29 :         OK (GrB_Scalar_setElement (G-&gt;emin, 1)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :         // delta values to try</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         29 :         int32_t Deltas [ ] = { 30, 100, 50000 } ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         // run the SSSP</a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         29 :         GrB_Vector path_length = NULL ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">         29 :         int64_t step = (n &gt; 100) ? (3*n/4) : ((n/4) + 1) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :         // int64_t src = 0 ;</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">        119 :         for (int64_t src = 0 ; src &lt; n ; src += step)</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :         {</a>
+<a name="139"><span class="lineNum">     139 </span>            :             // int32_t kk = 0 ;</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        328 :             for (int32_t kk = 0 ; kk &lt; ((n &gt; 100) ? 1 : 3) ; kk++)</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :             {</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">        238 :                 int32_t delta = Deltas [kk] ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">        238 :                 printf (&quot;src %d delta %d n %d\n&quot;, (int) src, delta, (int) n) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">        238 :                 OK (GrB_Scalar_setElement (Delta, delta)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        238 :                 OK (LAGr_SingleSourceShortestPath (&amp;path_length, G,</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :                     src, Delta, msg)) ;</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        238 :                 int res = LG_check_sssp (path_length, G, src, msg) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">        238 :                 if (res != GrB_SUCCESS) printf (&quot;res: %d msg: %s\n&quot;, res, msg) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        238 :                 OK (res) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        238 :                 OK (GrB_free(&amp;path_length)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :             }</a>
+<a name="152"><span class="lineNum">     152 </span>            :         }</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            :         // add a single negative edge and try again</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         29 :         OK (GrB_free (&amp;(G-&gt;emin))) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         29 :         G-&gt;emin_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         29 :         OK (GrB_Matrix_setElement_INT32 (G-&gt;A, -1, 0, 1)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         29 :         OK (GrB_Scalar_setElement (Delta, 30)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         29 :         OK (LAGr_SingleSourceShortestPath (&amp;path_length, G, 0, Delta, msg)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         29 :         OK (LAGraph_Vector_Print (path_length, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         29 :         int32_t len = 0 ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         29 :         OK (GrB_Vector_extractElement (&amp;len, path_length, 1)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         29 :         TEST_CHECK (len == -1) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         29 :         OK (GrB_free(&amp;path_length)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         29 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     }</a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     GrB_free (&amp;Delta) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     LAGraph_Finalize(msg);</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 : }</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            : //------------------------------------------------------------------------------</a>
+<a name="174"><span class="lineNum">     174 </span>            : // test_SingleSourceShortestPath_types</a>
+<a name="175"><span class="lineNum">     175 </span>            : //------------------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 : void test_SingleSourceShortestPath_types (void)</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : {</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, T = NULL ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     GrB_Scalar Delta = NULL ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     OK (GrB_Scalar_new (&amp;Delta, GrB_INT32)) ;</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         29 :     {</span></a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :         // load the adjacency matrix as A</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         30 :         const char *aname = files [k].name ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         30 :         LAGraph_Kind kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :         // LAGraph_Kind kind = files [k].kind ;</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">         30 :         if (strlen (aname) == 0) break;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         29 :         TEST_CASE (aname) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         29 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         29 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         29 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">         29 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         29 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         29 :         OK (fclose (f)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">         29 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         29 :         GrB_Index n = 0, ncols = 1 ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         29 :         OK (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         29 :         OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         29 :         TEST_CHECK (n == ncols) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         // ensure A has the right type</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">         29 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span>            : //      fprintf (stderr, &quot;matrix %s type: %s\n&quot;, aname, atype_name) ;</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">         29 :         if (MATCHNAME (atype_name, &quot;int32_t&quot;))</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :         {</a>
+<a name="211"><span class="lineNum">     211 </span>            :             // use A as-is, but ensure it's positive and nonzero,</a>
+<a name="212"><span class="lineNum">     212 </span>            :             // and in range 1 to 255</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_ABS_INT32, A, NULL)) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_INT32, A, 1, NULL)) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MIN_INT32, A, 255, NULL)) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         }</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         28 :         else if (MATCHNAME (atype_name, &quot;int64_t&quot;))</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :         {</a>
+<a name="219"><span class="lineNum">     219 </span>            :             // use A as-is, but ensure it's positive and nonzero,</a>
+<a name="220"><span class="lineNum">     220 </span>            :             // and in range 1 to 255</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          5 :             OK (GrB_apply (A, NULL, NULL, GrB_ABS_INT64, A, NULL)) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          5 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_INT64, A, 1, NULL)) ;</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          5 :             OK (GrB_apply (A, NULL, NULL, GrB_MIN_INT64, A, 255, NULL)) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :         }</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">         23 :         else if (MATCHNAME (atype_name, &quot;uint32_t&quot;))</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :         {</a>
+<a name="227"><span class="lineNum">     227 </span>            :             // use A as-is, but ensure it's nonzero</a>
+<a name="228"><span class="lineNum">     228 </span>            :             // and in range 1 to 255</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_UINT32, A, 1, NULL)) ;</span></a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MIN_UINT32, A, 255, NULL)) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span>            :         }</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         22 :         else if (MATCHNAME (atype_name, &quot;uint64_t&quot;))</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :         {</a>
+<a name="234"><span class="lineNum">     234 </span>            :             // use A as-is, but ensure it's nonzero</a>
+<a name="235"><span class="lineNum">     235 </span>            :             // and in range 1 to 255</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_UINT64, A, 1, NULL)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MIN_UINT64, A, 255, NULL)) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :         }</a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">         21 :         else if (MATCHNAME (atype_name, &quot;float&quot;))</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :         {</a>
+<a name="241"><span class="lineNum">     241 </span>            :             // use A as-is, but ensure it's positive, with values in range</a>
+<a name="242"><span class="lineNum">     242 </span>            :             // 1 to 255</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_ABS_FP32, A, NULL)) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :             float emax = 0 ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :             OK (GrB_reduce (&amp;emax, NULL, GrB_MAX_MONOID_FP32, A, NULL)) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          1 :             emax = 255. / emax ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_TIMES_FP32, A, emax, NULL)) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_FP32, A, 1, NULL)) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :         }</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         20 :         else if (MATCHNAME (atype_name, &quot;double&quot;))</span></a>
+<a name="251"><span class="lineNum">     251 </span>            :         {</a>
+<a name="252"><span class="lineNum">     252 </span>            :             // use A as-is, but ensure it's positive, with values in range</a>
+<a name="253"><span class="lineNum">     253 </span>            :             // 1 to 255</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">         12 :             OK (GrB_apply (A, NULL, NULL, GrB_ABS_FP64, A, NULL)) ;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         12 :             double emax = 0 ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">         12 :             OK (GrB_reduce (&amp;emax, NULL, GrB_MAX_MONOID_FP64, A, NULL)) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         12 :             emax = 255. / emax ;</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">         12 :             OK (GrB_apply (A, NULL, NULL, GrB_TIMES_FP64, A, emax, NULL)) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         12 :             OK (GrB_apply (A, NULL, NULL, GrB_MAX_FP64, A, 1, NULL)) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :         }</a>
+<a name="261"><span class="lineNum">     261 </span>            :         else</a>
+<a name="262"><span class="lineNum">     262 </span>            :         {</a>
+<a name="263"><span class="lineNum">     263 </span>            :             // T = max (abs (double (A)), 0.1)</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">          8 :             OK (GrB_Matrix_new (&amp;T, GrB_FP64, n, n)) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          8 :             OK (GrB_apply (T, NULL, NULL, GrB_ABS_FP64, A, NULL)) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          8 :             OK (GrB_apply (T, NULL, NULL, GrB_MAX_FP64, A, 0.1, NULL)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">          8 :             OK (GrB_free (&amp;A)) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          8 :             A = T ;</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :         }</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            :         // create the graph</a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">         29 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">         29 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">         29 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :         // find the smallest entry</a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">         29 :         OK (LAGraph_Cached_EMin (G, msg)) ;</span></a>
+<a name="278"><span class="lineNum">     278 </span>            : </a>
+<a name="279"><span class="lineNum">     279 </span>            :         // delta values to try</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">         29 :         int32_t Deltas [ ] = { 30, 100, 50000 } ;</span></a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span>            :         // run the SSSP</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">         29 :         GrB_Vector path_length = NULL ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">         29 :         int64_t step = (n &gt; 100) ? (3*n/4) : ((n/4) + 1) ;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">        119 :         for (int64_t src = 0 ; src &lt; n ; src += step)</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :         {</a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">        328 :             for (int32_t kk = 0 ; kk &lt; ((n &gt; 100) ? 1 : 3) ; kk++)</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :             {</a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">        238 :                 int32_t delta = Deltas [kk] ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">        238 :                 printf (&quot;src %d delta %d n %d\n&quot;, (int) src, delta, (int) n) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">        238 :                 OK (GrB_Scalar_setElement (Delta, delta)) ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">        238 :                 OK (LAGr_SingleSourceShortestPath (&amp;path_length, G, src,</span></a>
+<a name="293"><span class="lineNum">     293 </span>            :                     Delta, msg)) ;</a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">        238 :                 int res = LG_check_sssp (path_length, G, src, msg) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        238 :                 if (res != GrB_SUCCESS) printf (&quot;res: %d msg: %s\n&quot;, res, msg) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">        238 :                 OK (res) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">        238 :                 OK (GrB_free(&amp;path_length)) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span>            :             }</a>
+<a name="299"><span class="lineNum">     299 </span>            :         }</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">         29 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :     }</a>
+<a name="303"><span class="lineNum">     303 </span>            : </a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          1 :     GrB_free (&amp;Delta) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          1 : }</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span>            : //------------------------------------------------------------------------------</a>
+<a name="309"><span class="lineNum">     309 </span>            : // test_SingleSourceShortestPath_failure</a>
+<a name="310"><span class="lineNum">     310 </span>            : //------------------------------------------------------------------------------</a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          1 : void test_SingleSourceShortestPath_failure (void)</span></a>
+<a name="313"><span class="lineNum">     313 </span>            : {</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">          1 :     LAGraph_Init (msg) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">          1 :     GrB_Scalar Delta = NULL ;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          1 :     OK (GrB_Scalar_new (&amp;Delta, GrB_INT32)) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          1 :     OK (GrB_Scalar_setElement (Delta, 1)) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            :     // load the karate adjacency matrix as A</a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;karate.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span>            : </a>
+<a name="327"><span class="lineNum">     327 </span>            :     // create the graph</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          1 :     OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          1 :     GrB_Vector path_length = NULL ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          1 :     int result = LAGr_SingleSourceShortestPath (&amp;path_length, G, 0, Delta, msg) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          1 :     printf (&quot;\nres: %d msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">          1 :     TEST_CHECK (path_length == NULL) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span>            : </a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">          1 :     OK (GrB_Scalar_clear (Delta)) ;</span></a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          1 :     result = LAGr_SingleSourceShortestPath (&amp;path_length, G, 0, Delta, msg) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          1 :     printf (&quot;\nres: %d msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">          1 :     TEST_CHECK (path_length == NULL) ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_EMPTY_OBJECT) ;</span></a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;Delta)) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          1 :     LAGraph_Finalize (msg) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          1 : }</span></a>
+<a name="348"><span class="lineNum">     348 </span>            : </a>
+<a name="349"><span class="lineNum">     349 </span>            : //------------------------------------------------------------------------------</a>
+<a name="350"><span class="lineNum">     350 </span>            : // test_SingleSourceShortestPath_brutal</a>
+<a name="351"><span class="lineNum">     351 </span>            : //------------------------------------------------------------------------------</a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="354"><span class="lineNum">     354 </span><span class="lineCov">          1 : void test_SingleSourceShortestPath_brutal (void)</span></a>
+<a name="355"><span class="lineNum">     355 </span>            : {</a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          1 :     GrB_Scalar Delta = NULL ;</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">          1 :     OK (GrB_Scalar_new (&amp;Delta, GrB_INT32)) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span>            : </a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, T = NULL ;</span></a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span>            :     // just test with the first 8 matrices</a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">          9 :     for (int k = 0 ; k &lt; 8 ; k++)</span></a>
+<a name="364"><span class="lineNum">     364 </span>            :     {</a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span>            :         // load the adjacency matrix as A</a>
+<a name="367"><span class="lineNum">     367 </span><span class="lineCov">          8 :         const char *aname = files [k].name ;</span></a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          8 :         LAGraph_Kind kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="369"><span class="lineNum">     369 </span>            :         // LAGraph_Kind kind = files [k].kind ;</a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">          8 :         if (strlen (aname) == 0) break;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          8 :         TEST_CASE (aname) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">          8 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          8 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">          8 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          8 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          8 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          8 :         OK (fclose (f)) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">          8 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          8 :         GrB_Index n = 0 ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">          8 :         OK (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          8 :         if (n &gt; 30)</span></a>
+<a name="383"><span class="lineNum">     383 </span>            :         {</a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">          1 :             printf (&quot;skipped -- only using small matrices for brutal test\n&quot;) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">          1 :             OK (GrB_free (&amp;A)) ;</span></a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          1 :             continue ;</span></a>
+<a name="387"><span class="lineNum">     387 </span>            :         }</a>
+<a name="388"><span class="lineNum">     388 </span>            : </a>
+<a name="389"><span class="lineNum">     389 </span>            :         // convert A to int32</a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          7 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          7 :         if (!MATCHNAME (atype_name, &quot;int32_t&quot;))</span></a>
+<a name="392"><span class="lineNum">     392 </span>            :         {</a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">          6 :             OK (GrB_Matrix_new (&amp;T, GrB_INT32, n, n)) ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          6 :             OK (GrB_assign (T, NULL, NULL, A, GrB_ALL, n, GrB_ALL, n, NULL)) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          6 :             OK (GrB_free (&amp;A)) ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          6 :             A = T ;</span></a>
+<a name="397"><span class="lineNum">     397 </span>            :         }</a>
+<a name="398"><span class="lineNum">     398 </span>            : </a>
+<a name="399"><span class="lineNum">     399 </span>            :         // ensure all entries are positive, and in the range 1 to 255</a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          7 :         OK (GrB_Matrix_apply_BinaryOp2nd_INT32 (A, NULL, NULL,</span></a>
+<a name="401"><span class="lineNum">     401 </span>            :             GrB_BAND_INT32, A, 255, NULL)) ;</a>
+<a name="402"><span class="lineNum">     402 </span>            :         int32_t x ;</a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">          7 :         OK (GrB_reduce (&amp;x, NULL, GrB_MIN_MONOID_INT32, A, NULL)) ;</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          7 :         if (x &lt; 1)</span></a>
+<a name="405"><span class="lineNum">     405 </span>            :         {</a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          2 :             OK (GrB_Matrix_apply_BinaryOp2nd_INT32 (A, NULL, NULL,</span></a>
+<a name="407"><span class="lineNum">     407 </span>            :                 GrB_MAX_INT32, A, 1, NULL)) ;</a>
+<a name="408"><span class="lineNum">     408 </span>            :         }</a>
+<a name="409"><span class="lineNum">     409 </span>            : </a>
+<a name="410"><span class="lineNum">     410 </span>            :         // create the graph</a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          7 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          7 :         OK (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span>            :         // run the SSSP on a single source node with one delta</a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          7 :         GrB_Vector path_length = NULL ;</span></a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">          7 :         int64_t src = 0 ;</span></a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">          7 :         int32_t delta = 30 ;</span></a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          7 :         printf (&quot;src %d delta %d n %d\n&quot;, (int) src, delta, (int) n) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">          7 :         OK (GrB_Scalar_setElement (Delta, delta)) ;</span></a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">       1276 :         LG_BRUTAL (LAGr_SingleSourceShortestPath (&amp;path_length, G, src,</span></a>
+<a name="421"><span class="lineNum">     421 </span>            :             Delta, msg)) ;</a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          7 :         int rr = (LG_check_sssp (path_length, G, src, msg)) ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          7 :         printf (&quot;rr %d msg %s\n&quot;, rr, msg) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">          7 :         OK (rr) ;</span></a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">          7 :         OK (GrB_free(&amp;path_length)) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span>            : </a>
+<a name="427"><span class="lineNum">     427 </span>            :         // add a single negative edge and try again</a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">          7 :         OK (GrB_Matrix_setElement_INT32 (G-&gt;A, -1, 0, 1)) ;</span></a>
+<a name="429"><span class="lineNum">     429 </span><span class="lineCov">          7 :         OK (GrB_wait (G-&gt;A, GrB_MATERIALIZE)) ;</span></a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">       2172 :         LG_BRUTAL (LAGr_SingleSourceShortestPath (&amp;path_length, G, 0,</span></a>
+<a name="431"><span class="lineNum">     431 </span>            :             Delta, msg)) ;</a>
+<a name="432"><span class="lineNum">     432 </span><span class="lineCov">          7 :         int32_t len = 0 ;</span></a>
+<a name="433"><span class="lineNum">     433 </span><span class="lineCov">          7 :         OK (GrB_Vector_extractElement (&amp;len, path_length, 1)) ;</span></a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          7 :         TEST_CHECK (len == -1) ;</span></a>
+<a name="435"><span class="lineNum">     435 </span><span class="lineCov">          7 :         OK (GrB_free(&amp;path_length)) ;</span></a>
+<a name="436"><span class="lineNum">     436 </span>            : </a>
+<a name="437"><span class="lineNum">     437 </span><span class="lineCov">          7 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="438"><span class="lineNum">     438 </span>            :     }</a>
+<a name="439"><span class="lineNum">     439 </span>            : </a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">          1 :     GrB_free (&amp;Delta) ;</span></a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          1 : }</span></a>
+<a name="443"><span class="lineNum">     443 </span>            : #endif</a>
+<a name="444"><span class="lineNum">     444 </span>            : </a>
+<a name="445"><span class="lineNum">     445 </span>            : //****************************************************************************</a>
+<a name="446"><span class="lineNum">     446 </span>            : //****************************************************************************</a>
+<a name="447"><span class="lineNum">     447 </span>            : </a>
+<a name="448"><span class="lineNum">     448 </span>            : TEST_LIST = {</a>
+<a name="449"><span class="lineNum">     449 </span>            :     {&quot;SSSP&quot;, test_SingleSourceShortestPath},</a>
+<a name="450"><span class="lineNum">     450 </span>            :     {&quot;SSSP_types&quot;, test_SingleSourceShortestPath_types},</a>
+<a name="451"><span class="lineNum">     451 </span>            :     {&quot;SSSP_failure&quot;, test_SingleSourceShortestPath_failure},</a>
+<a name="452"><span class="lineNum">     452 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="453"><span class="lineNum">     453 </span>            :     {&quot;SSSP_brutal&quot;, test_SingleSourceShortestPath_brutal },</a>
+<a name="454"><span class="lineNum">     454 </span>            :     #endif</a>
+<a name="455"><span class="lineNum">     455 </span>            :     {NULL, NULL}</a>
+<a name="456"><span class="lineNum">     456 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Sort.c.func-sort-c.html b/src/test/test_Sort.c.func-sort-c.html
new file mode 100644
index 0000000000..8710a4898f
--- /dev/null
+++ b/src/test/test_Sort.c.func-sort-c.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Sort.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Sort.c<span style="font-size: 80%;"> (<a href="test_Sort.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Sort.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#25">test_sort1</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#182">test_sort1_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#72">test_sort2</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#231">test_sort2_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#122">test_sort3</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#282">test_sort3_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Sort.c.func.html b/src/test/test_Sort.c.func.html
new file mode 100644
index 0000000000..1280fa35fb
--- /dev/null
+++ b/src/test/test_Sort.c.func.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Sort.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Sort.c<span style="font-size: 80%;"> (<a href="test_Sort.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Sort.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#25">test_sort1</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#182">test_sort1_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#72">test_sort2</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#231">test_sort2_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#122">test_sort3</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Sort.c.gcov.html#282">test_sort3_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Sort.c.gcov.html b/src/test/test_Sort.c.gcov.html
new file mode 100644
index 0000000000..7264caef81
--- /dev/null
+++ b/src/test/test_Sort.c.gcov.html
@@ -0,0 +1,430 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Sort.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Sort.c<span style="font-size: 80%;"> (source / <a href="test_Sort.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Sort.c: test LG_msort* methods</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : // test_sort1</a>
+<a name="25"><span class="lineNum">      25 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span><span class="lineCov">          1 : void test_sort1 (void)</span></a>
+<a name="28"><span class="lineNum">      28 </span>            : {</a>
+<a name="29"><span class="lineNum">      29 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          3 :     for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="33"><span class="lineNum">      33 </span>            :     {</a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          2 :         int64_t n = (trial == 0) ? 1024 : (256 * 1024) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            :         int64_t *A0 ;</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          2 :         OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          2 :         uint64_t seed = 1 ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">     263170 :         for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :         {</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">     263168 :             A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :         }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 :         OK (LG_msort1 (A0, n, msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">     263168 :         for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="48"><span class="lineNum">      48 </span>            :         {</a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">     263166 :             TEST_CHECK (A0 [k-1] &lt;= A0 [k]) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            :         }</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">     263170 :         for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            :         {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">     263168 :             A0 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :         }</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          2 :         OK (LG_msort1 (A0, n, msg)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">     263168 :         for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :         {</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">     263166 :             TEST_CHECK (A0 [k-1] &lt;= A0 [k]) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :         }</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          2 :         LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            :     }</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 : }</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="71"><span class="lineNum">      71 </span>            : // test_sort2</a>
+<a name="72"><span class="lineNum">      72 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 : void test_sort2 (void)</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : {</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     int64_t n = 256 * 1024 ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :     int64_t *A0, *A1 ;</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A1, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :     uint64_t seed = 1 ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :     {</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">     262144 :         A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     OK (LG_msort2 (A0, A1, n, msg)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     {</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_2 (A0, A1, k-1, A0, A1, k)</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp; A1 [k-1] == A1 [k])) ;</a>
+<a name="98"><span class="lineNum">      98 </span>            :     }</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">     262144 :         A0 [k] = 0 ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     OK (LG_msort2 (A0, A1, n, msg)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     {</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_2 (A0, A1, k-1, A0, A1, k)</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp; A1 [k-1] == A1 [k])) ;</a>
+<a name="112"><span class="lineNum">     112 </span>            :     }</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A1, NULL) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 : }</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="121"><span class="lineNum">     121 </span>            : // test_sort3</a>
+<a name="122"><span class="lineNum">     122 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 : void test_sort3 (void)</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : {</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     int64_t n = 256 * 1024 ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     printf (&quot;test sort3\n&quot;) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     int64_t *A0, *A1, *A2 ;</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A1, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A2, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     uint64_t seed = 1 ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="139"><span class="lineNum">     139 </span>            :     {</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">     262144 :         A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">     262144 :         A2 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            :     }</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     OK (LG_msort3 (A0, A1, A2, n, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :     {</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_3 (A0, A1, A2, k-1, A0, A1, A2, k)</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp;</a>
+<a name="151"><span class="lineNum">     151 </span>            :                 A1 [k-1] == A1 [k] &amp;&amp;</a>
+<a name="152"><span class="lineNum">     152 </span>            :                 A2 [k-1] == A2 [k])) ;</a>
+<a name="153"><span class="lineNum">     153 </span>            :     }</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :     {</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">     262144 :         A0 [k] = 0 ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">     262144 :         A2 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span>            :     }</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     OK (LG_msort3 (A0, A1, A2, n, msg)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :     {</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_3 (A0, A1, A2, k-1, A0, A1, A2, k)</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp;</a>
+<a name="168"><span class="lineNum">     168 </span>            :                 A1 [k-1] == A1 [k] &amp;&amp;</a>
+<a name="169"><span class="lineNum">     169 </span>            :                 A2 [k-1] == A2 [k])) ;</a>
+<a name="170"><span class="lineNum">     170 </span>            :     }</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A1, NULL) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A2, NULL) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 : }</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            : // test_sort1_brutal</a>
+<a name="181"><span class="lineNum">     181 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 : void test_sort1_brutal (void)</span></a>
+<a name="185"><span class="lineNum">     185 </span>            : {</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">          3 :     for (int trial = 0 ; trial &lt;= 1 ; trial++)</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :     {</a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          2 :         int64_t n = (trial == 0) ? 1024 : (256 * 1024) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :         int64_t *A0 ;</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          2 :         OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">          2 :         uint64_t seed = 1 ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">     263170 :         for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="198"><span class="lineNum">     198 </span>            :         {</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">     263168 :             A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :         }</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          3 :         LG_BRUTAL (LG_msort1 (A0, n, msg)) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span>            : </a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">     263168 :         for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :         {</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">     263166 :             TEST_CHECK (A0 [k-1] &lt;= A0 [k]) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span>            :         }</a>
+<a name="208"><span class="lineNum">     208 </span>            : </a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">     263170 :         for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :         {</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">     263168 :             A0 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="212"><span class="lineNum">     212 </span>            :         }</a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          3 :         LG_BRUTAL (LG_msort1 (A0, n, msg)) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">     263168 :         for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :         {</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">     263166 :             TEST_CHECK (A0 [k-1] &lt;= A0 [k]) ;</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         }</a>
+<a name="220"><span class="lineNum">     220 </span>            : </a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">          2 :         LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :     }</a>
+<a name="223"><span class="lineNum">     223 </span>            : </a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 : }</span></a>
+<a name="226"><span class="lineNum">     226 </span>            : #endif</a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="229"><span class="lineNum">     229 </span>            : // test_sort2_brutal</a>
+<a name="230"><span class="lineNum">     230 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 : void test_sort2_brutal (void)</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : {</a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">          1 :     int64_t n = 256 * 1024 ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            : </a>
+<a name="240"><span class="lineNum">     240 </span>            :     int64_t *A0, *A1 ;</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A1, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     uint64_t seed = 1 ;</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="246"><span class="lineNum">     246 </span>            :     {</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">     262144 :         A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :     }</a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          2 :     LG_BRUTAL (LG_msort2 (A0, A1, n, msg)) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :     {</a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_2 (A0, A1, k-1, A0, A1, k)</span></a>
+<a name="256"><span class="lineNum">     256 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp; A1 [k-1] == A1 [k])) ;</a>
+<a name="257"><span class="lineNum">     257 </span>            :     }</a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :     {</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">     262144 :         A0 [k] = 0 ;</span></a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :     }</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          2 :     LG_BRUTAL (LG_msort2 (A0, A1, n, msg)) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span>            : </a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :     {</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_2 (A0, A1, k-1, A0, A1, k)</span></a>
+<a name="270"><span class="lineNum">     270 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp; A1 [k-1] == A1 [k])) ;</a>
+<a name="271"><span class="lineNum">     271 </span>            :     }</a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A1, NULL) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          1 : }</span></a>
+<a name="278"><span class="lineNum">     278 </span>            : #endif</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="281"><span class="lineNum">     281 </span>            : // test_sort3_brutal</a>
+<a name="282"><span class="lineNum">     282 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="283"><span class="lineNum">     283 </span>            : </a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          1 : void test_sort3_brutal (void)</span></a>
+<a name="285"><span class="lineNum">     285 </span>            : {</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     OK (LAGraph_SetNumThreads (1, 4, msg)) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">          1 :     int64_t n = 256 * 1024 ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">          1 :     printf (&quot;test sort3\n&quot;) ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            : </a>
+<a name="292"><span class="lineNum">     292 </span>            :     int64_t *A0, *A1, *A2 ;</a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A0, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A1, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;A2, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span>            : </a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">          1 :     uint64_t seed = 1 ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :     {</a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">     262144 :         A0 [k] = (int64_t) LG_Random15 (&amp;seed) ;</span></a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">     262144 :         A2 [k] = (int64_t) LG_Random60 (&amp;seed) ;</span></a>
+<a name="303"><span class="lineNum">     303 </span>            :     }</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          2 :     LG_BRUTAL (LG_msort3 (A0, A1, A2, n, msg)) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="308"><span class="lineNum">     308 </span>            :     {</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_3 (A0, A1, A2, k-1, A0, A1, A2, k)</span></a>
+<a name="310"><span class="lineNum">     310 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp;</a>
+<a name="311"><span class="lineNum">     311 </span>            :                 A1 [k-1] == A1 [k] &amp;&amp;</a>
+<a name="312"><span class="lineNum">     312 </span>            :                 A2 [k-1] == A2 [k])) ;</a>
+<a name="313"><span class="lineNum">     313 </span>            :     }</a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">     262145 :     for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :     {</a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">     262144 :         A0 [k] = 0 ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">     262144 :         A1 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">     262144 :         A2 [k] = (int64_t) (LG_Random15 (&amp;seed) % 4) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span>            :     }</a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          2 :     LG_BRUTAL (LG_msort3 (A0, A1, A2, n, msg)) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span>            : </a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">     262144 :     for (int k = 1 ; k &lt; n ; k++)</span></a>
+<a name="325"><span class="lineNum">     325 </span>            :     {</a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">     262143 :         TEST_CHECK (LG_lt_3 (A0, A1, A2, k-1, A0, A1, A2, k)</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :             || (A0 [k-1] == A0 [k] &amp;&amp;</a>
+<a name="328"><span class="lineNum">     328 </span>            :                 A1 [k-1] == A1 [k] &amp;&amp;</a>
+<a name="329"><span class="lineNum">     329 </span>            :                 A2 [k-1] == A2 [k])) ;</a>
+<a name="330"><span class="lineNum">     330 </span>            :     }</a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A0, NULL) ;</span></a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A1, NULL) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          1 :     LAGraph_Free ((void **) &amp;A2, NULL) ;</span></a>
+<a name="335"><span class="lineNum">     335 </span>            : </a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          1 : }</span></a>
+<a name="338"><span class="lineNum">     338 </span>            : </a>
+<a name="339"><span class="lineNum">     339 </span>            : </a>
+<a name="340"><span class="lineNum">     340 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="341"><span class="lineNum">     341 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="342"><span class="lineNum">     342 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span>            : TEST_LIST = {</a>
+<a name="345"><span class="lineNum">     345 </span>            :     {&quot;test_sort1&quot;, test_sort1},</a>
+<a name="346"><span class="lineNum">     346 </span>            :     {&quot;test_sort2&quot;, test_sort2},</a>
+<a name="347"><span class="lineNum">     347 </span>            :     {&quot;test_sort3&quot;, test_sort3},</a>
+<a name="348"><span class="lineNum">     348 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="349"><span class="lineNum">     349 </span>            :     {&quot;test_sort1_brutal&quot;, test_sort1_brutal},</a>
+<a name="350"><span class="lineNum">     350 </span>            :     {&quot;test_sort2_brutal&quot;, test_sort2_brutal},</a>
+<a name="351"><span class="lineNum">     351 </span>            :     {&quot;test_sort3_brutal&quot;, test_sort3_brutal},</a>
+<a name="352"><span class="lineNum">     352 </span>            :     #endif</a>
+<a name="353"><span class="lineNum">     353 </span>            :     {NULL, NULL}</a>
+<a name="354"><span class="lineNum">     354 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SortByDegree.c.func-sort-c.html b/src/test/test_SortByDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..61e3b7137c
--- /dev/null
+++ b/src/test/test_SortByDegree.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SortByDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SortByDegree.c<span style="font-size: 80%;"> (<a href="test_SortByDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_SortByDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#86">test_SortByDegree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#242">test_SortByDegree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#392">test_SortByDegree_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#38">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#47">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SortByDegree.c.func.html b/src/test/test_SortByDegree.c.func.html
new file mode 100644
index 0000000000..d0d2126b93
--- /dev/null
+++ b/src/test/test_SortByDegree.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SortByDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SortByDegree.c<span style="font-size: 80%;"> (<a href="test_SortByDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_SortByDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#38">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#47">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#86">test_SortByDegree</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#242">test_SortByDegree_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_SortByDegree.c.gcov.html#392">test_SortByDegree_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_SortByDegree.c.gcov.html b/src/test/test_SortByDegree.c.gcov.html
new file mode 100644
index 0000000000..f50776d45a
--- /dev/null
+++ b/src/test/test_SortByDegree.c.gcov.html
@@ -0,0 +1,510 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_SortByDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_SortByDegree.c<span style="font-size: 80%;"> (source / <a href="test_SortByDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntry">190</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_SortByDegree  test LAGr_SortByDegree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : LAGraph_Graph G = NULL, H = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Matrix A = NULL, B = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Vector d = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LEN 512</a>
+<a name="29"><span class="lineNum">      29 </span>            : char filename [LEN+1] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : int64_t *P = NULL ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : bool *W = NULL ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : GrB_Index n, nrows, ncols ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : bool is_symmetric ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : int kind ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : //------------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            : // setup: start a test</a>
+<a name="38"><span class="lineNum">      38 </span>            : //------------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : {</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          2 : }</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //------------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : // teardown: finalize a test</a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : {</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          2 : }</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : //------------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : // test_SortByDegree  test LAGr_SortByDegree</a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            : const char *files [ ] =</a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span>            :     &quot;A.mtx&quot;,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     &quot;LFAT5.mtx&quot;,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     &quot;cover.mtx&quot;,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     &quot;full.mtx&quot;,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     &quot;full_symmetric.mtx&quot;,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     &quot;karate.mtx&quot;,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     &quot;ldbc-cdlp-directed-example.mtx&quot;,</a>
+<a name="67"><span class="lineNum">      67 </span>            :     &quot;ldbc-cdlp-undirected-example.mtx&quot;,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     &quot;ldbc-directed-example-bool.mtx&quot;,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     &quot;ldbc-directed-example-unweighted.mtx&quot;,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     &quot;ldbc-directed-example.mtx&quot;,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     &quot;ldbc-undirected-example-bool.mtx&quot;,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     &quot;ldbc-undirected-example-unweighted.mtx&quot;,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     &quot;ldbc-undirected-example.mtx&quot;,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     &quot;ldbc-wcc-example.mtx&quot;,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     &quot;matrix_int16.mtx&quot;,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     &quot;msf1.mtx&quot;,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     &quot;msf2.mtx&quot;,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     &quot;msf3.mtx&quot;,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     &quot;structure.mtx&quot;,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     &quot;sample.mtx&quot;,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     &quot;sample2.mtx&quot;,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     &quot;skew_fp32.mtx&quot;,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     &quot;tree-example.mtx&quot;,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     &quot;west0067.mtx&quot;,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     &quot;&quot;,</a>
+<a name="86"><span class="lineNum">      86 </span>            : } ;</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 : void test_SortByDegree (void)</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : {</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     for (int kk = 0 ; ; kk++)</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         25 :     {</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :         // get the name of the test matrix</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         26 :         const char *aname = files [kk] ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         26 :         if (strlen (aname) == 0) break;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">         25 :         TEST_CASE (aname) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         25 :         printf (&quot;\n############################################# %s\n&quot;, aname) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         25 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         47 :         for (int outer = 0 ; outer &lt;= 1 ; outer++)</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :         {</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :             // load the matrix as A</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">         36 :             FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">         36 :             TEST_CHECK (f != NULL) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         36 :             OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         36 :             OK (fclose (f)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">         36 :             TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :             // ensure the matrix is square</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         36 :             OK (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">         36 :             OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         36 :             TEST_CHECK (nrows == ncols) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         36 :             n = nrows ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            :             // decide if the graph G is directed or undirected</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         36 :             if (outer == 0)</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :             {</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         25 :                 kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         25 :                 printf (&quot;\n#### case: directed graph\n\n&quot;) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            :             }</a>
+<a name="124"><span class="lineNum">     124 </span>            :             else</a>
+<a name="125"><span class="lineNum">     125 </span>            :             {</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         11 :                 kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">         11 :                 printf (&quot;\n#### case: undirected graph\n\n&quot;) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :             }</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :             // construct a graph G with adjacency matrix A</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         36 :             TEST_CHECK (A != NULL) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         36 :             OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         36 :             TEST_CHECK (A == NULL) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">         36 :             TEST_CHECK (G != NULL) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            :             // create the cached properties</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         72 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         36 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         36 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">         36 :             OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         36 :             result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">         36 :             OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         36 :             OK (LAGraph_Graph_Print (G, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span>            :             // sort 4 different ways</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">        180 :             for (int trial = 0 ; trial &lt;= 3 ; trial++)</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :             {</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        144 :                 bool byout = (trial == 0 || trial == 1) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        144 :                 bool ascending = (trial == 0 || trial == 2) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :                 // sort the graph by degree</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">        144 :                 TEST_CHECK (P == NULL) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        144 :                 OK (LAGr_SortByDegree (&amp;P, G, byout, ascending, msg)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">        144 :                 TEST_CHECK (P != NULL) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :                 // ensure P is a permutation of 0..n-1</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">        144 :                 OK (LAGraph_Calloc ((void **) &amp;W, n, sizeof (bool), msg)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">       1736 :                 for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :                 {</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">       1592 :                     int64_t j = P [k] ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">       1592 :                     TEST_CHECK (j &gt;= 0 &amp;&amp; j &lt; n) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">       1592 :                     TEST_CHECK (W [j] == false) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">       1592 :                     W [j] = true ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :                 }</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            :                 // check the result by constructing a new graph with adjacency</a>
+<a name="169"><span class="lineNum">     169 </span>            :                 // matrix B = A (P,P)</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">        144 :                 OK (GrB_Matrix_new (&amp;B, GrB_BOOL, n, n)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">        144 :                 OK (GrB_extract (B, NULL, NULL, G-&gt;A,</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :                     (GrB_Index *) P, n, (GrB_Index *) P, n, NULL)) ;</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">        144 :                 OK (LAGraph_New (&amp;H, &amp;B, kind, msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">        144 :                 TEST_CHECK (B == NULL) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">        144 :                 TEST_CHECK (H != NULL) ;</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            :                 // get the cached properties of H</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">        144 :                 OK (LAGraph_Cached_OutDegree (H, msg)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        144 :                 result = LAGraph_Cached_InDegree (H, msg) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">        144 :                 TEST_CHECK (result == ok_result) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">        144 :                 OK (LAGraph_Cached_IsSymmetricStructure (H, msg)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        144 :                 TEST_CHECK (G-&gt;is_symmetric_structure ==</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :                             H-&gt;is_symmetric_structure) ;</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">        144 :                 printf (&quot;\nTrial %d, graph H, sorted (%s) by (%s) degrees:\n&quot;,</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :                     trial, ascending ? &quot;ascending&quot; : &quot;descending&quot;,</a>
+<a name="186"><span class="lineNum">     186 </span>            :                     byout ? &quot;row&quot; : &quot;column&quot;) ;</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        144 :                 OK (LAGraph_Graph_Print (H, LAGraph_SHORT, stdout, msg)) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         72 :                 d = (byout || G-&gt;is_symmetric_structure == LAGraph_TRUE) ?</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">        216 :                     H-&gt;out_degree : H-&gt;in_degree ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            : </a>
+<a name="192"><span class="lineNum">     192 </span>            :                 // ensure d is sorted in ascending or descending order</a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        144 :                 int64_t last_deg = (ascending) ? (-1) : (n+1) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">       1736 :                 for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="195"><span class="lineNum">     195 </span>            :                 {</a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">       1592 :                     int64_t deg = 0 ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">       1592 :                     GrB_Info info = GrB_Vector_extractElement (&amp;deg, d, k) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">       1592 :                     TEST_CHECK (info == GrB_NO_VALUE || info == GrB_SUCCESS) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">       1592 :                     if (info == GrB_NO_VALUE) deg = 0 ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">       1592 :                     if (ascending)</span></a>
+<a name="201"><span class="lineNum">     201 </span>            :                     {</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">        796 :                         TEST_CHECK (last_deg &lt;= deg) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span>            :                     }</a>
+<a name="204"><span class="lineNum">     204 </span>            :                     else</a>
+<a name="205"><span class="lineNum">     205 </span>            :                     {</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">        796 :                         TEST_CHECK (last_deg &gt;= deg) ;</span></a>
+<a name="207"><span class="lineNum">     207 </span>            :                     }</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">       1592 :                     last_deg = deg ;</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :                 }</a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span>            :                 // free workspace and the graph H</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">        144 :                 OK (LAGraph_Free ((void **) &amp;W, NULL)) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">        144 :                 OK (LAGraph_Free ((void **) &amp;P, NULL)) ;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">        144 :                 OK (LAGraph_Delete (&amp;H, msg)) ;</span></a>
+<a name="215"><span class="lineNum">     215 </span>            :             }</a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span>            :             // check if the adjacency matrix is symmetric</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">         36 :             if (outer == 0)</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :             {</a>
+<a name="220"><span class="lineNum">     220 </span>            :                 // if G-&gt;A is symmetric, then continue the outer iteration to</a>
+<a name="221"><span class="lineNum">     221 </span>            :                 // create an undirected graph.  Otherwise just do the directed</a>
+<a name="222"><span class="lineNum">     222 </span>            :                 // graph</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">         25 :                 OK (LAGraph_Matrix_IsEqual (&amp;is_symmetric, G-&gt;A, G-&gt;AT, msg)) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">         25 :                 if (!is_symmetric)</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :                 {</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         14 :                     printf (&quot;matrix is unsymmetric; skip undirected case\n&quot;) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         14 :                     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         14 :                     break ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :                 }</a>
+<a name="230"><span class="lineNum">     230 </span>            :             }</a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">         22 :             OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :         }</a>
+<a name="233"><span class="lineNum">     233 </span>            :     }</a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 : }</span></a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            : //------------------------------------------------------------------------------</a>
+<a name="240"><span class="lineNum">     240 </span>            : // test_SortByDegree_brutal</a>
+<a name="241"><span class="lineNum">     241 </span>            : //------------------------------------------------------------------------------</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 : void test_SortByDegree_brutal (void)</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : {</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     for (int kk = 0 ; ; kk++)</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">         25 :     {</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :         // get the name of the test matrix</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">         26 :         const char *aname = files [kk] ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">         26 :         if (strlen (aname) == 0) break;</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         25 :         TEST_CASE (aname) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">         25 :         printf (&quot;%s\n&quot;, aname) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         25 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">         47 :         for (int outer = 0 ; outer &lt;= 1 ; outer++)</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :         {</a>
+<a name="261"><span class="lineNum">     261 </span>            : </a>
+<a name="262"><span class="lineNum">     262 </span>            :             // load the matrix as A</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">         36 :             FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         36 :             TEST_CHECK (f != NULL) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">         36 :             OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">         36 :             OK (fclose (f)) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">         36 :             TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="268"><span class="lineNum">     268 </span>            : </a>
+<a name="269"><span class="lineNum">     269 </span>            :             // ensure the matrix is square</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">         36 :             OK (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">         36 :             OK (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">         36 :             TEST_CHECK (nrows == ncols) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">         36 :             n = nrows ;</span></a>
+<a name="274"><span class="lineNum">     274 </span>            : </a>
+<a name="275"><span class="lineNum">     275 </span>            :             // decide if the graph G is directed or undirected</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">         36 :             if (outer == 0)</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :             {</a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">         25 :                 kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="279"><span class="lineNum">     279 </span>            :             }</a>
+<a name="280"><span class="lineNum">     280 </span>            :             else</a>
+<a name="281"><span class="lineNum">     281 </span>            :             {</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">         11 :                 kind = LAGraph_ADJACENCY_UNDIRECTED ;</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :             }</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :             // construct a graph G with adjacency matrix A</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">         36 :             TEST_CHECK (A != NULL) ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">         36 :             OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">         36 :             TEST_CHECK (A == NULL) ;</span></a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">         36 :             TEST_CHECK (G != NULL) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span>            : </a>
+<a name="291"><span class="lineNum">     291 </span>            :             // create the cached properties</a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">         72 :             int ok_result = (kind == LAGraph_ADJACENCY_UNDIRECTED) ?</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">         36 :                 LAGRAPH_CACHE_NOT_NEEDED : GrB_SUCCESS ;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">         36 :             int result = LAGraph_Cached_AT (G, msg) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">         36 :             OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">         36 :             result = LAGraph_Cached_InDegree (G, msg) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">         36 :             TEST_CHECK (result == ok_result) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">         36 :             OK (LAGraph_Cached_IsSymmetricStructure (G, msg)) ;</span></a>
+<a name="300"><span class="lineNum">     300 </span>            :             // OK (LAGraph_Graph_Print (G, LAGraph_SHORT, stdout, msg)) ;</a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span>            :             // sort 4 different ways</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">        180 :             for (int trial = 0 ; trial &lt;= 3 ; trial++)</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :             {</a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">        144 :                 bool byout = (trial == 0 || trial == 1) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">        144 :                 bool ascending = (trial == 0 || trial == 2) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span>            :                 // sort the graph by degree</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">        144 :                 TEST_CHECK (P == NULL) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">        144 :                 OK (LAGr_SortByDegree (&amp;P, G, byout, ascending, msg)) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">        144 :                 TEST_CHECK (P != NULL) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span>            :                 // ensure P is a permutation of 0..n-1</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">        144 :                 OK (LAGraph_Calloc ((void **) &amp;W, n, sizeof (bool), msg)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">       1736 :                 for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :                 {</a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">       1592 :                     int64_t j = P [k] ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">       1592 :                     TEST_CHECK (j &gt;= 0 &amp;&amp; j &lt; n) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">       1592 :                     TEST_CHECK (W [j] == false) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">       1592 :                     W [j] = true ;</span></a>
+<a name="321"><span class="lineNum">     321 </span>            :                 }</a>
+<a name="322"><span class="lineNum">     322 </span>            : </a>
+<a name="323"><span class="lineNum">     323 </span>            :                 // check the result by constructing a new graph with adjacency</a>
+<a name="324"><span class="lineNum">     324 </span>            :                 // matrix B = A (P,P)</a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">        144 :                 OK (GrB_Matrix_new (&amp;B, GrB_BOOL, n, n)) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">        144 :                 OK (GrB_extract (B, NULL, NULL, G-&gt;A,</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :                     (GrB_Index *) P, n, (GrB_Index *) P, n, NULL)) ;</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">        144 :                 OK (LAGraph_New (&amp;H, &amp;B, kind, msg)) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">        144 :                 TEST_CHECK (B == NULL) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        144 :                 TEST_CHECK (H != NULL) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+<a name="332"><span class="lineNum">     332 </span>            :                 // get the cached properties of H</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">        144 :                 OK (LAGraph_Cached_OutDegree (H, msg)) ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">        144 :                 result = LAGraph_Cached_InDegree (H, msg) ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">        144 :                 TEST_CHECK (result == ok_result) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">        144 :                 OK (LAGraph_Cached_IsSymmetricStructure (H, msg)) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">        144 :                 TEST_CHECK (G-&gt;is_symmetric_structure ==</span></a>
+<a name="338"><span class="lineNum">     338 </span>            :                             H-&gt;is_symmetric_structure) ;</a>
+<a name="339"><span class="lineNum">     339 </span>            : </a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">         72 :                 d = (byout || G-&gt;is_symmetric_structure == LAGraph_TRUE) ?</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">        216 :                     H-&gt;out_degree : H-&gt;in_degree ;</span></a>
+<a name="342"><span class="lineNum">     342 </span>            : </a>
+<a name="343"><span class="lineNum">     343 </span>            :                 // ensure d is sorted in ascending or descending order</a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">        144 :                 int64_t last_deg = (ascending) ? (-1) : (n+1) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">       1736 :                 for (int k = 0 ; k &lt; n ; k++)</span></a>
+<a name="346"><span class="lineNum">     346 </span>            :                 {</a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">       1592 :                     int64_t deg = 0 ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">       1592 :                     GrB_Info info = GrB_Vector_extractElement (&amp;deg, d, k) ;</span></a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">       1592 :                     TEST_CHECK (info == GrB_NO_VALUE || info == GrB_SUCCESS) ;</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">       1592 :                     if (info == GrB_NO_VALUE) deg = 0 ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">       1592 :                     if (ascending)</span></a>
+<a name="352"><span class="lineNum">     352 </span>            :                     {</a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">        796 :                         TEST_CHECK (last_deg &lt;= deg) ;</span></a>
+<a name="354"><span class="lineNum">     354 </span>            :                     }</a>
+<a name="355"><span class="lineNum">     355 </span>            :                     else</a>
+<a name="356"><span class="lineNum">     356 </span>            :                     {</a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">        796 :                         TEST_CHECK (last_deg &gt;= deg) ;</span></a>
+<a name="358"><span class="lineNum">     358 </span>            :                     }</a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">       1592 :                     last_deg = deg ;</span></a>
+<a name="360"><span class="lineNum">     360 </span>            :                 }</a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span>            :                 // free workspace and the graph H</a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">        144 :                 OK (LAGraph_Free ((void **) &amp;W, NULL)) ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">        144 :                 OK (LAGraph_Free ((void **) &amp;P, NULL)) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">        144 :                 OK (LAGraph_Delete (&amp;H, msg)) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span>            :             }</a>
+<a name="367"><span class="lineNum">     367 </span>            : </a>
+<a name="368"><span class="lineNum">     368 </span>            :             // check if the adjacency matrix is symmetric</a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">         36 :             if (outer == 0)</span></a>
+<a name="370"><span class="lineNum">     370 </span>            :             {</a>
+<a name="371"><span class="lineNum">     371 </span>            :                 // if G-&gt;A is symmetric, then continue the outer iteration to</a>
+<a name="372"><span class="lineNum">     372 </span>            :                 // create an undirected graph.  Otherwise just do the directed</a>
+<a name="373"><span class="lineNum">     373 </span>            :                 // graph</a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">         25 :                 OK (LAGraph_Matrix_IsEqual (&amp;is_symmetric, G-&gt;A, G-&gt;AT, msg)) ;</span></a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">         25 :                 if (!is_symmetric)</span></a>
+<a name="376"><span class="lineNum">     376 </span>            :                 {</a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">         14 :                     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">         14 :                     break ;</span></a>
+<a name="379"><span class="lineNum">     379 </span>            :                 }</a>
+<a name="380"><span class="lineNum">     380 </span>            :             }</a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">         22 :             OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="383"><span class="lineNum">     383 </span>            :         }</a>
+<a name="384"><span class="lineNum">     384 </span>            :     }</a>
+<a name="385"><span class="lineNum">     385 </span>            : </a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          1 : }</span></a>
+<a name="388"><span class="lineNum">     388 </span>            : #endif</a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="391"><span class="lineNum">     391 </span>            : // test_SortByDegree_failures:  test error handling of LAGr_SortByDegree</a>
+<a name="392"><span class="lineNum">     392 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="393"><span class="lineNum">     393 </span>            : </a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          1 : void test_SortByDegree_failures (void)</span></a>
+<a name="395"><span class="lineNum">     395 </span>            : {</a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          1 :     int result = LAGr_SortByDegree (NULL, NULL, true, true, msg) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          1 :     printf (&quot;\nresult %d: msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="401"><span class="lineNum">     401 </span>            : </a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          1 :     result = LAGr_SortByDegree (&amp;P, NULL, true, true, msg) ;</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="405"><span class="lineNum">     405 </span>            : </a>
+<a name="406"><span class="lineNum">     406 </span>            :     // create the karate graph</a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_DATA_DIR &quot;karate.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">          1 :     OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">          1 :     OK (fclose (f)) ;</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span>            :     // cached degree property must first be computed</a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          1 :     result = LAGr_SortByDegree (&amp;P, G, true, true, msg) ;</span></a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">          1 :     printf (&quot;\nresult %d: msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">          1 :     TEST_CHECK (result == LAGRAPH_NOT_CACHED) ;</span></a>
+<a name="418"><span class="lineNum">     418 </span>            : </a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">          1 : }</span></a>
+<a name="421"><span class="lineNum">     421 </span>            : </a>
+<a name="422"><span class="lineNum">     422 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="423"><span class="lineNum">     423 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="424"><span class="lineNum">     424 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="425"><span class="lineNum">     425 </span>            : </a>
+<a name="426"><span class="lineNum">     426 </span>            : TEST_LIST =</a>
+<a name="427"><span class="lineNum">     427 </span>            : {</a>
+<a name="428"><span class="lineNum">     428 </span>            :     { &quot;SortByDegree&quot;, test_SortByDegree },</a>
+<a name="429"><span class="lineNum">     429 </span>            :     { &quot;SortByDegree_failures&quot;, test_SortByDegree_failures },</a>
+<a name="430"><span class="lineNum">     430 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="431"><span class="lineNum">     431 </span>            :     { &quot;SortByDegree_brutal&quot;, test_SortByDegree_brutal },</a>
+<a name="432"><span class="lineNum">     432 </span>            :     #endif</a>
+<a name="433"><span class="lineNum">     433 </span>            :     { NULL, NULL }</a>
+<a name="434"><span class="lineNum">     434 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_TriangleCount.c.func-sort-c.html b/src/test/test_TriangleCount.c.func-sort-c.html
new file mode 100644
index 0000000000..9610d70761
--- /dev/null
+++ b/src/test/test_TriangleCount.c.func-sort-c.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_TriangleCount.c<span style="font-size: 80%;"> (<a href="test_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_TriangleCount.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#259">test_TriangleCount</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#87">test_TriangleCount_Methods1</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#110">test_TriangleCount_Methods2</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#131">test_TriangleCount_Methods3</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#163">test_TriangleCount_Methods4</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#195">test_TriangleCount_Methods5</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#227">test_TriangleCount_Methods6</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#355">test_TriangleCount_autosort</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#405">test_TriangleCount_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#279">test_TriangleCount_many</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#52">setup</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#75">teardown</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_TriangleCount.c.func.html b/src/test/test_TriangleCount.c.func.html
new file mode 100644
index 0000000000..239b87897d
--- /dev/null
+++ b/src/test/test_TriangleCount.c.func.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_TriangleCount.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_TriangleCount.c<span style="font-size: 80%;"> (<a href="test_TriangleCount.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_TriangleCount.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#52">setup</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#75">teardown</a></td>
+              <td class="coverFnHi">7</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#259">test_TriangleCount</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#87">test_TriangleCount_Methods1</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#110">test_TriangleCount_Methods2</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#131">test_TriangleCount_Methods3</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#163">test_TriangleCount_Methods4</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#195">test_TriangleCount_Methods5</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#227">test_TriangleCount_Methods6</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#355">test_TriangleCount_autosort</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#405">test_TriangleCount_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_TriangleCount.c.gcov.html#279">test_TriangleCount_many</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_TriangleCount.c.gcov.html b/src/test/test_TriangleCount.c.gcov.html
new file mode 100644
index 0000000000..8bd6c54a53
--- /dev/null
+++ b/src/test/test_TriangleCount.c.gcov.html
@@ -0,0 +1,566 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_TriangleCount.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_TriangleCount.c<span style="font-size: 80%;"> (source / <a href="test_TriangleCount.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntry">255</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_TriangleCount.c: test cases for triangle</a>
+<a name="3"><span class="lineNum">       3 </span>            : // counting algorithms</a>
+<a name="4"><span class="lineNum">       4 </span>            : // ----------------------------------------------------------------------------</a>
+<a name="5"><span class="lineNum">       5 </span>            : </a>
+<a name="6"><span class="lineNum">       6 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="7"><span class="lineNum">       7 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="8"><span class="lineNum">       8 </span>            : //</a>
+<a name="9"><span class="lineNum">       9 </span>            : // For additional details (including references to third party source code and</a>
+<a name="10"><span class="lineNum">      10 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="11"><span class="lineNum">      11 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="12"><span class="lineNum">      12 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="13"><span class="lineNum">      13 </span>            : // DM22-0790</a>
+<a name="14"><span class="lineNum">      14 </span>            : </a>
+<a name="15"><span class="lineNum">      15 </span>            : // Contributed by Scott McMillan, SEI, and Timothy A. Davis, Texas A&amp;M</a>
+<a name="16"><span class="lineNum">      16 </span>            : // University</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &lt;stdio.h&gt;</a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &lt;acutest.h&gt;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="24"><span class="lineNum">      24 </span>            : #include &lt;graph_zachary_karate.h&gt;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg[LAGRAPH_MSG_LEN];</a>
+<a name="27"><span class="lineNum">      27 </span>            : LAGraph_Graph G = NULL;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LEN 512</a>
+<a name="30"><span class="lineNum">      30 </span>            : char filename [LEN+1] ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : typedef struct</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            :     uint64_t ntriangles ;           // # triangles in original matrix</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const char *name ;              // matrix filename</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : matrix_info ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : const matrix_info files [ ] =</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            :     {     45, &quot;karate.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     {     11, &quot;A.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     {   2016, &quot;jagmesh7.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     {      6, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     {      4, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     {      5, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {      0, &quot;LFAT5.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { 342300, &quot;bcsstk13.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     {      0, &quot;tree-example.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {      0, &quot;&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            : } ;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //****************************************************************************</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          7 : void setup(void)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          7 :     LAGraph_Init(msg);</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     int retval;</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          7 :     GrB_Matrix A = NULL;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          7 :     GrB_Matrix_new(&amp;A, GrB_UINT32, ZACHARY_NUM_NODES, ZACHARY_NUM_NODES);</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          7 :     GrB_Matrix_build(A, ZACHARY_I, ZACHARY_J, ZACHARY_V, ZACHARY_NUM_EDGES,</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :                      GrB_LOR);</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          7 :     retval = LAGraph_New(&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg);</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          7 :     TEST_CHECK(retval == 0);</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          7 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          7 :     retval = LAGraph_Cached_NSelfEdges(G, msg);</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          7 :     TEST_CHECK(retval == 0);</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          7 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          7 :     TEST_CHECK(G-&gt;nself_edges == 0);</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          7 : }</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : //****************************************************************************</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          7 : void teardown(void)</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : {</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          7 :     int retval = LAGraph_Delete(&amp;G, msg);</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          7 :     TEST_CHECK(retval == 0);</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          7 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          7 :     G = NULL;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          7 :     LAGraph_Finalize(msg);</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          7 : }</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : //****************************************************************************</a>
+<a name="88"><span class="lineNum">      88 </span>            : //****************************************************************************</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 : void test_TriangleCount_Methods1(void)</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : {</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     int retval;</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     // with presort</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Burkhardt ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     // LAGr_TriangleCount_Burkhardt: sum (sum ((A^2) .* A)) / 6</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles);</span></a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 : }</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            : //****************************************************************************</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 : void test_TriangleCount_Methods2(void)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            : {</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :     int retval;</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Cohen ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :     // LAGr_TriangleCount_Cohen: sum (sum ((L * U) .* A)) / 2</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles);</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 : }</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            : //****************************************************************************</a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 : void test_TriangleCount_Methods3(void)</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : {</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="136"><span class="lineNum">     136 </span>            :     int retval;</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Sandia_LL ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :     // LAGr_TriangleCount_Sandia_LL: sum (sum ((L * L) .* L))</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount (&amp;ntriangles, G, &amp;method, &amp;presort, msg) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :     // should fail (out_degrees needs to be defined)</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     TEST_CHECK(retval == LAGRAPH_NOT_CACHED);</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     retval = LAGraph_Cached_OutDegree(G, msg);</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     method = LAGr_TriangleCount_Sandia_LL ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles);</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 : }</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            : //****************************************************************************</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 : void test_TriangleCount_Methods4(void)</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : {</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :     int retval;</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Sandia_UU ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :     // LAGr_TriangleCount_Sandia_UU: sum (sum ((U * U) .* U))</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :     // should fail (out_degrees needs to be defined)</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     TEST_CHECK(retval == LAGRAPH_NOT_CACHED);</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="179"><span class="lineNum">     179 </span>            : </a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          1 :     retval = LAGraph_Cached_OutDegree(G, msg);</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :     method = LAGr_TriangleCount_Sandia_UU ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          1 : }</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            : //****************************************************************************</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          1 : void test_TriangleCount_Methods5(void)</span></a>
+<a name="198"><span class="lineNum">     198 </span>            : {</a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="200"><span class="lineNum">     200 </span>            :     int retval;</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Sandia_LUT ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="206"><span class="lineNum">     206 </span>            :     // LAGr_TriangleCount_Sandia_LUT: sum (sum ((L * U') .* L))</a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="208"><span class="lineNum">     208 </span>            :     // should fail (out_degrees needs to be defined)</a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">          1 :     TEST_CHECK(retval == LAGRAPH_NOT_CACHED);</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :     retval = LAGraph_Cached_OutDegree(G, msg);</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">          1 :     presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">          1 :     method = LAGr_TriangleCount_Sandia_LUT ;</span></a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="221"><span class="lineNum">     221 </span>            : </a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">          1 : }</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            : //****************************************************************************</a>
+<a name="229"><span class="lineNum">     229 </span><span class="lineCov">          1 : void test_TriangleCount_Methods6(void)</span></a>
+<a name="230"><span class="lineNum">     230 </span>            : {</a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="232"><span class="lineNum">     232 </span>            :     int retval;</a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="234"><span class="lineNum">     234 </span>            : </a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">          1 :     LAGr_TriangleCount_Method method = LAGr_TriangleCount_Sandia_ULT ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">          1 :     ntriangles = 0UL;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :     // LAGr_TriangleCount_Sandia_ULT: sum (sum ((U * L') .* U))</a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="240"><span class="lineNum">     240 </span>            :     // should fail (out_degrees needs to be defined)</a>
+<a name="241"><span class="lineNum">     241 </span><span class="lineCov">          1 :     TEST_CHECK(retval == LAGRAPH_NOT_CACHED) ;</span></a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="243"><span class="lineNum">     243 </span>            : </a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">          1 :     retval = LAGraph_Cached_OutDegree(G, msg);</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="247"><span class="lineNum">     247 </span>            : </a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">          1 :     presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">          1 :     method = LAGr_TriangleCount_Sandia_ULT ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :     retval = LAGr_TriangleCount(&amp;ntriangles, G, &amp;method, &amp;presort, msg);</span></a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">          1 : }</span></a>
+<a name="259"><span class="lineNum">     259 </span>            : </a>
+<a name="260"><span class="lineNum">     260 </span>            : //****************************************************************************</a>
+<a name="261"><span class="lineNum">     261 </span><span class="lineCov">          1 : void test_TriangleCount(void)</span></a>
+<a name="262"><span class="lineNum">     262 </span>            : {</a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">          1 :     setup();</span></a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">          1 :     uint64_t ntriangles = 0UL;</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">          1 :     int retval = LAGraph_TriangleCount(&amp;ntriangles, G, msg);</span></a>
+<a name="267"><span class="lineNum">     267 </span>            :     // should not fail (out_degrees will be calculated)</a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">          1 :     TEST_CHECK(retval == 0);</span></a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">          1 :     TEST_MSG(&quot;retval = %d (%s)&quot;, retval, msg);</span></a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">          1 :     TEST_MSG(&quot;numtri = %g&quot;, (double) ntriangles) ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">          1 :     OK (LG_check_tri (&amp;ntriangles, G, msg)) ;</span></a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          1 :     TEST_CHECK( ntriangles == 45 );</span></a>
+<a name="276"><span class="lineNum">     276 </span>            : </a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">          1 :     teardown();</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">          1 : }</span></a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            : //****************************************************************************</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">          1 : void test_TriangleCount_many (void)</span></a>
+<a name="282"><span class="lineNum">     282 </span>            : {</a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">          1 :     LAGraph_Init(msg);</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">          9 :     {</span></a>
+<a name="289"><span class="lineNum">     289 </span>            : </a>
+<a name="290"><span class="lineNum">     290 </span>            :         // load the adjacency matrix as A</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">         10 :         const char *aname = files [k].name ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">         10 :         uint64_t ntriangles = files [k].ntriangles ;</span></a>
+<a name="293"><span class="lineNum">     293 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="294"><span class="lineNum">     294 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="296"><span class="lineNum">     296 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">          9 :         OK (fclose (f)) ;</span></a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span>            :         // create the graph</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          9 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span>            :         // delete any diagonal entries</a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          9 :         OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">          9 :         TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          9 :         OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          9 :         TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span>            :         // get the # of triangles</a>
+<a name="313"><span class="lineNum">     313 </span>            :         uint64_t nt0, nt1 ;</a>
+<a name="314"><span class="lineNum">     314 </span><span class="lineCov">          9 :         OK (LAGraph_TriangleCount (&amp;nt1, G, msg)) ;</span></a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">          9 :         printf (&quot;# triangles: %g Matrix: %s\n&quot;, (double) nt1, aname) ;</span></a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">          9 :         TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">          9 :         OK (LG_check_tri (&amp;nt0, G, msg)) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">          9 :         TEST_CHECK (nt0 == nt1) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span>            : </a>
+<a name="320"><span class="lineNum">     320 </span>            :         // convert to directed but with symmetric pattern</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          9 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          9 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">          9 :         OK (LAGraph_TriangleCount (&amp;nt1, G, msg)) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">          9 :         TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">          9 :         OK (LG_check_tri (&amp;nt0, G, msg)) ;</span></a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">          9 :         TEST_CHECK (nt0 == nt1) ;</span></a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span>            :         // try each method</a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">         72 :         for (int method = 0 ; method &lt;= 6 ; method++)</span></a>
+<a name="331"><span class="lineNum">     331 </span>            :         {</a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">        252 :             for (int presort = 0 ; presort &lt;= 2 ; presort++)</span></a>
+<a name="333"><span class="lineNum">     333 </span>            :             {</a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">        189 :                 LAGr_TriangleCount_Presort s = presort ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">        189 :                 LAGr_TriangleCount_Method m = method ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">        189 :                 OK (LAGr_TriangleCount (&amp;nt1, G, &amp;m, &amp;s, msg)) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">        189 :                 TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="338"><span class="lineNum">     338 </span>            :             }</a>
+<a name="339"><span class="lineNum">     339 </span>            :         }</a>
+<a name="340"><span class="lineNum">     340 </span>            : </a>
+<a name="341"><span class="lineNum">     341 </span>            :         // invalid method</a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          9 :         LAGr_TriangleCount_Method method = 99 ;</span></a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">          9 :         int result = LAGr_TriangleCount (&amp;nt1, G, &amp;method, NULL, msg) ;</span></a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">          9 :         TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          9 :         LAGr_TriangleCount_Presort presort = 99 ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          9 :         result = LAGr_TriangleCount (&amp;nt1, G, NULL, &amp;presort, msg) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">          9 :         TEST_CHECK (result == GrB_INVALID_VALUE) ;</span></a>
+<a name="348"><span class="lineNum">     348 </span>            : </a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="350"><span class="lineNum">     350 </span>            :     }</a>
+<a name="351"><span class="lineNum">     351 </span>            : </a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">          1 :     LAGraph_Finalize(msg);</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">          1 : }</span></a>
+<a name="354"><span class="lineNum">     354 </span>            : </a>
+<a name="355"><span class="lineNum">     355 </span>            : //****************************************************************************</a>
+<a name="356"><span class="lineNum">     356 </span>            : </a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">          1 : void test_TriangleCount_autosort (void)</span></a>
+<a name="358"><span class="lineNum">     358 </span>            : {</a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">          1 :     OK (LAGraph_Init(msg)) ;</span></a>
+<a name="360"><span class="lineNum">     360 </span>            : </a>
+<a name="361"><span class="lineNum">     361 </span>            :     // create a banded matrix with a some dense rows/columns</a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">          1 :     GrB_Index n = 50000 ;</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, GrB_BOOL, n, n)) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">         12 :     for (int k = 0 ; k &lt;= 10 ; k++)</span></a>
+<a name="367"><span class="lineNum">     367 </span>            :     {</a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">     550011 :         for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="369"><span class="lineNum">     369 </span>            :         {</a>
+<a name="370"><span class="lineNum">     370 </span><span class="lineCov">     550000 :             OK (GrB_Matrix_setElement_BOOL (A, true, i, k)) ;</span></a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">     550000 :             OK (GrB_Matrix_setElement_BOOL (A, true, k, i)) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span>            :         }</a>
+<a name="373"><span class="lineNum">     373 </span>            :     }</a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span>            :     // create the graph</a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          1 :     TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="378"><span class="lineNum">     378 </span>            : </a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          1 :     OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          1 :     TEST_CHECK (G-&gt;nself_edges == 0) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          1 :     OK (LAGraph_Cached_OutDegree (G, msg)) ;</span></a>
+<a name="383"><span class="lineNum">     383 </span>            : </a>
+<a name="384"><span class="lineNum">     384 </span>            :     // try each method; with autosort</a>
+<a name="385"><span class="lineNum">     385 </span><span class="lineCov">          1 :     GrB_Index nt1 = 0 ;</span></a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          8 :     for (int method = 0 ; method &lt;= 6 ; method++)</span></a>
+<a name="387"><span class="lineNum">     387 </span>            :     {</a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">          7 :         LAGr_TriangleCount_Presort presort = LAGr_TriangleCount_AutoSort ;</span></a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">          7 :         LAGr_TriangleCount_Method m = method ;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          7 :         nt1 = 0 ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          7 :         OK (LAGr_TriangleCount (&amp;nt1, G, &amp;m, &amp;presort, msg)) ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">          7 :         TEST_CHECK (nt1 == 2749560) ;</span></a>
+<a name="393"><span class="lineNum">     393 </span>            :     }</a>
+<a name="394"><span class="lineNum">     394 </span>            : </a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          1 :     nt1 = 0 ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          1 :     OK (LAGraph_TriangleCount (&amp;nt1, G, msg)) ;</span></a>
+<a name="397"><span class="lineNum">     397 </span><span class="lineCov">          1 :     TEST_CHECK (nt1 == 2749560) ;</span></a>
+<a name="398"><span class="lineNum">     398 </span>            : </a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize(msg)) ;</span></a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          1 : }</span></a>
+<a name="401"><span class="lineNum">     401 </span>            : </a>
+<a name="402"><span class="lineNum">     402 </span>            : //------------------------------------------------------------------------------</a>
+<a name="403"><span class="lineNum">     403 </span>            : // test_TriangleCount_brutal</a>
+<a name="404"><span class="lineNum">     404 </span>            : //------------------------------------------------------------------------------</a>
+<a name="405"><span class="lineNum">     405 </span>            : </a>
+<a name="406"><span class="lineNum">     406 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">          1 : void test_TriangleCount_brutal (void)</span></a>
+<a name="408"><span class="lineNum">     408 </span>            : {</a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="410"><span class="lineNum">     410 </span>            : </a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          9 :     {</span></a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span>            :         // load the adjacency matrix as A</a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">         10 :         const char *aname = files [k].name ;</span></a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">         10 :         uint64_t ntriangles = files [k].ntriangles ;</span></a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">         10 :         if (strlen (aname) == 0) break;</span></a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">          9 :         printf (&quot;\n================== Matrix: %s\n&quot;, aname) ;</span></a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">          9 :         TEST_CASE (aname) ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">          9 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">          9 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">          9 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          9 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">          9 :         OK (fclose (f)) ;</span></a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">          9 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="429"><span class="lineNum">     429 </span>            : </a>
+<a name="430"><span class="lineNum">     430 </span>            :         // create the graph</a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">          9 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_UNDIRECTED, msg)) ;</span></a>
+<a name="432"><span class="lineNum">     432 </span>            : </a>
+<a name="433"><span class="lineNum">     433 </span>            :         // delete any diagonal entries</a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          9 :         OK (LAGraph_DeleteSelfEdges (G, msg)) ;</span></a>
+<a name="435"><span class="lineNum">     435 </span>            : </a>
+<a name="436"><span class="lineNum">     436 </span>            :         // get the # of triangles</a>
+<a name="437"><span class="lineNum">     437 </span>            :         uint64_t nt0, nt1 ;</a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">        192 :         LG_BRUTAL_BURBLE (LAGraph_TriangleCount (&amp;nt1, G, msg)) ;</span></a>
+<a name="439"><span class="lineNum">     439 </span><span class="lineCov">          9 :         printf (&quot;# triangles: %g Matrix: %s\n&quot;, (double) nt1, aname) ;</span></a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">          9 :         TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="441"><span class="lineNum">     441 </span>            : </a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">         62 :         LG_BRUTAL_BURBLE (LG_check_tri (&amp;nt0, G, msg)) ;</span></a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">          9 :         TEST_CHECK (nt0 == nt1) ;</span></a>
+<a name="444"><span class="lineNum">     444 </span>            : </a>
+<a name="445"><span class="lineNum">     445 </span>            :         // convert to directed but with symmetric pattern</a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">          9 :         G-&gt;kind = LAGraph_ADJACENCY_DIRECTED ;</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">          9 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">        192 :         LG_BRUTAL (LAGraph_TriangleCount (&amp;nt1, G, msg)) ;</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">          9 :         TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="450"><span class="lineNum">     450 </span>            : </a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">         62 :         LG_BRUTAL_BURBLE (LG_check_tri (&amp;nt0, G, msg)) ;</span></a>
+<a name="452"><span class="lineNum">     452 </span><span class="lineCov">          9 :         TEST_CHECK (nt0 == nt1) ;</span></a>
+<a name="453"><span class="lineNum">     453 </span>            : </a>
+<a name="454"><span class="lineNum">     454 </span>            :         // try each method</a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">         72 :         for (int method = 0 ; method &lt;= 6 ; method++)</span></a>
+<a name="456"><span class="lineNum">     456 </span>            :         {</a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">        252 :             for (int presort = 0 ; presort &lt;= 2 ; presort++)</span></a>
+<a name="458"><span class="lineNum">     458 </span>            :             {</a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">        189 :                 LAGr_TriangleCount_Presort s = presort ;</span></a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">        189 :                 LAGr_TriangleCount_Method m = method ;</span></a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">       3833 :                 LG_BRUTAL_BURBLE (LAGr_TriangleCount (&amp;nt1, G, &amp;m, &amp;s, msg)) ;</span></a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">        189 :                 TEST_CHECK (nt1 == ntriangles) ;</span></a>
+<a name="463"><span class="lineNum">     463 </span>            :             }</a>
+<a name="464"><span class="lineNum">     464 </span>            :         }</a>
+<a name="465"><span class="lineNum">     465 </span>            : </a>
+<a name="466"><span class="lineNum">     466 </span><span class="lineCov">          9 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="467"><span class="lineNum">     467 </span>            :     }</a>
+<a name="468"><span class="lineNum">     468 </span>            : </a>
+<a name="469"><span class="lineNum">     469 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="470"><span class="lineNum">     470 </span><span class="lineCov">          1 : }</span></a>
+<a name="471"><span class="lineNum">     471 </span>            : #endif</a>
+<a name="472"><span class="lineNum">     472 </span>            : </a>
+<a name="473"><span class="lineNum">     473 </span>            : </a>
+<a name="474"><span class="lineNum">     474 </span>            : //****************************************************************************</a>
+<a name="475"><span class="lineNum">     475 </span>            : //****************************************************************************</a>
+<a name="476"><span class="lineNum">     476 </span>            : TEST_LIST = {</a>
+<a name="477"><span class="lineNum">     477 </span>            :     {&quot;TriangleCount_Methods1&quot;, test_TriangleCount_Methods1},</a>
+<a name="478"><span class="lineNum">     478 </span>            :     {&quot;TriangleCount_Methods2&quot;, test_TriangleCount_Methods2},</a>
+<a name="479"><span class="lineNum">     479 </span>            :     {&quot;TriangleCount_Methods3&quot;, test_TriangleCount_Methods3},</a>
+<a name="480"><span class="lineNum">     480 </span>            :     {&quot;TriangleCount_Methods4&quot;, test_TriangleCount_Methods4},</a>
+<a name="481"><span class="lineNum">     481 </span>            :     {&quot;TriangleCount_Methods5&quot;, test_TriangleCount_Methods5},</a>
+<a name="482"><span class="lineNum">     482 </span>            :     {&quot;TriangleCount_Methods6&quot;, test_TriangleCount_Methods6},</a>
+<a name="483"><span class="lineNum">     483 </span>            :     {&quot;TriangleCount&quot;         , test_TriangleCount},</a>
+<a name="484"><span class="lineNum">     484 </span>            :     {&quot;TriangleCount_many&quot;    , test_TriangleCount_many},</a>
+<a name="485"><span class="lineNum">     485 </span>            :     {&quot;TriangleCount_autosort&quot;, test_TriangleCount_autosort},</a>
+<a name="486"><span class="lineNum">     486 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="487"><span class="lineNum">     487 </span>            :     {&quot;TriangleCount_brutal&quot;  , test_TriangleCount_brutal},</a>
+<a name="488"><span class="lineNum">     488 </span>            :     #endif</a>
+<a name="489"><span class="lineNum">     489 </span>            :     {NULL, NULL}</a>
+<a name="490"><span class="lineNum">     490 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Type.c.func-sort-c.html b/src/test/test_Type.c.func-sort-c.html
new file mode 100644
index 0000000000..3e6782fffb
--- /dev/null
+++ b/src/test/test_Type.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Type.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Type.c<span style="font-size: 80%;"> (<a href="test_Type.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Type.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Type.c.gcov.html#33">test_TypeName</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Type.c.gcov.html#101">test_TypeSize</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Type.c.func.html b/src/test/test_Type.c.func.html
new file mode 100644
index 0000000000..1e8c794f88
--- /dev/null
+++ b/src/test/test_Type.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Type.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Type.c<span style="font-size: 80%;"> (<a href="test_Type.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Type.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Type.c.gcov.html#33">test_TypeName</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Type.c.gcov.html#101">test_TypeSize</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Type.c.gcov.html b/src/test/test_Type.c.gcov.html
new file mode 100644
index 0000000000..92e2c6b2ff
--- /dev/null
+++ b/src/test/test_Type.c.gcov.html
@@ -0,0 +1,263 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Type.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Type.c<span style="font-size: 80%;"> (source / <a href="test_Type.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntry">94</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Type.c:  test LAGraph_*Type* methods</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : GrB_Type type = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : GrB_Scalar s = NULL ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : typedef int myint ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : // test_TypeName :  test LAGraph_NameOfType</a>
+<a name="33"><span class="lineNum">      33 </span>            : //------------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 : void test_TypeName  (void)</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_BOOL, msg)) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;bool&quot;)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_INT8, msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;int8_t&quot;)) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_INT16, msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;int16_t&quot;)) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_INT32, msg)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;int32_t&quot;)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_INT64, msg)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;int64_t&quot;)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_UINT8, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;uint8_t&quot;)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_UINT16, msg)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;uint16_t&quot;)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_UINT32, msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;uint32_t&quot;)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_UINT64, msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;uint64_t&quot;)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_FP32, msg)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;float&quot;)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     OK (LAGraph_NameOfType  (name, GrB_FP64, msg)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;double&quot;)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     char typename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     OK (GrB_Scalar_new (&amp;s, GrB_INT32)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     OK (LAGraph_Scalar_TypeName (name, s, msg)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     OK (strcmp (name, &quot;int32_t&quot;)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_Scalar_TypeName (NULL, s, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_Scalar_TypeName (name, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     name [0] = '\0' ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;type, sizeof (myint))) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     int result = LAGraph_NameOfType (name, type, msg) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            : </a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_NameOfType (NULL, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_NameOfType (name, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_NameOfType (NULL, GrB_BOOL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     GrB_free (&amp;s) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :     GrB_free (&amp;type) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 : }</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            : //------------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : // test_TypeSize :  test LAGraph_SizeOfType</a>
+<a name="101"><span class="lineNum">     101 </span>            : //------------------------------------------------------------------------------</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">          1 : void test_TypeSize (void)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            : {</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :     size_t size ;</a>
+<a name="107"><span class="lineNum">     107 </span>            : </a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_BOOL, msg)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (bool)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_INT8, msg)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (int8_t)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_INT16, msg)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (int16_t)) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_INT32, msg)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (int32_t)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_INT64, msg)) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (int64_t)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_UINT8, msg)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (uint8_t)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_UINT16, msg)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (uint16_t)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_UINT32, msg)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (uint32_t)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_UINT64, msg)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (uint64_t)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_FP32, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (float)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     OK (LAGraph_SizeOfType  (&amp;size, GrB_FP64, msg)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (double)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 :     size = 0 ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;type, sizeof (myint))) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">          1 :     int result = LAGraph_SizeOfType (&amp;size, type, msg) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     printf (&quot;\nSuiteSparse knows the type size: [%g]\n&quot;, (double) size) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     TEST_CHECK (size == sizeof (myint)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            :     #else</a>
+<a name="160"><span class="lineNum">     160 </span>            :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</a>
+<a name="161"><span class="lineNum">     161 </span>            :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</a>
+<a name="162"><span class="lineNum">     162 </span>            :     #endif</a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_SizeOfType (NULL, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: %s\n&quot;, msg) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_SizeOfType (&amp;size, NULL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     TEST_CHECK (LAGraph_SizeOfType (NULL, GrB_BOOL, msg) == GrB_NULL_POINTER) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     printf (&quot;msg: %s\n&quot;, msg) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 :     GrB_free (&amp;type) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">          1 : }</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : </a>
+<a name="177"><span class="lineNum">     177 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="179"><span class="lineNum">     179 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            : TEST_LIST =</a>
+<a name="182"><span class="lineNum">     182 </span>            : {</a>
+<a name="183"><span class="lineNum">     183 </span>            :     { &quot;TypeName&quot;, test_TypeName  },</a>
+<a name="184"><span class="lineNum">     184 </span>            :     { &quot;TypeSize&quot;, test_TypeSize  },</a>
+<a name="185"><span class="lineNum">     185 </span>            :     // no brutal test needed</a>
+<a name="186"><span class="lineNum">     186 </span>            :     { NULL, NULL }</a>
+<a name="187"><span class="lineNum">     187 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Print.c.func-sort-c.html b/src/test/test_Vector_Print.c.func-sort-c.html
new file mode 100644
index 0000000000..474598aefa
--- /dev/null
+++ b/src/test/test_Vector_Print.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Print.c<span style="font-size: 80%;"> (<a href="test_Vector_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Vector_Print.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Print.c.gcov.html#26">test_print</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Print.c.gcov.html#119">test_print_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Print.c.func.html b/src/test/test_Vector_Print.c.func.html
new file mode 100644
index 0000000000..cefdbd9433
--- /dev/null
+++ b/src/test/test_Vector_Print.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Print.c<span style="font-size: 80%;"> (<a href="test_Vector_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Vector_Print.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Print.c.gcov.html#26">test_print</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Print.c.gcov.html#119">test_print_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Print.c.gcov.html b/src/test/test_Vector_Print.c.gcov.html
new file mode 100644
index 0000000000..ae83741114
--- /dev/null
+++ b/src/test/test_Vector_Print.c.gcov.html
@@ -0,0 +1,294 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Print.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Print.c<span style="font-size: 80%;"> (source / <a href="test_Vector_Print.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntry">142</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Vector_Print.c: test LAGraph_Vector_Print</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="21"><span class="lineNum">      21 </span>            : GrB_Vector v = NULL ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : GrB_Index n = 40 ;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // test_print</a>
+<a name="26"><span class="lineNum">      26 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          1 : void test_print (void)</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_SHORT ;</span></a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_BOOL, n)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 1, 0)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT8, n)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -8, 0)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT16, n)) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -16, 0)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT32, n)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -32, 0)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT64, n)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -64, 0)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT8, n)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 8, 0)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT16, n)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 16, 0)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT32, n)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 32, 0)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT64, n)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 64, 0)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_FP32, n)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 3.14159, 0)) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_FP64, n)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 99.999, 0)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     // attempt to print to a NULL file, which should fail</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          1 :     int result = LAGraph_Vector_Print (v, pr, NULL, msg) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            :     // attempt to print a vector with a user-defined type, which should fail</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :     GrB_Type type = NULL ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;type, sizeof (int))) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, type, n)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     result = LAGraph_Vector_Print (v, pr, stdout, msg) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     OK (GrB_Type_free (&amp;type)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 : }</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="117"><span class="lineNum">     117 </span>            : // test_print_brutal</a>
+<a name="118"><span class="lineNum">     118 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 : void test_print_brutal (void)</span></a>
+<a name="122"><span class="lineNum">     122 </span>            : {</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     LAGraph_PrintLevel pr = LAGraph_SHORT ;</span></a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_BOOL, n)) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 1, 0)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT8, n)) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -8, 0)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT16, n)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -16, 0)) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT32, n)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -32, 0)) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_INT64, n)) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, -64, 0)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT8, n)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 8, 0)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT16, n)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 16, 0)) ;</span></a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT32, n)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 32, 0)) ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_UINT64, n)) ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 64, 0)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            : </a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_FP32, n)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 3.14159, 0)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;v, GrB_FP64, n)) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">          1 :     OK (GrB_assign (v, NULL, NULL, 0, GrB_ALL, n, NULL)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement (v, 99.999, 0)) ;</span></a>
+<a name="200"><span class="lineNum">     200 </span><span class="lineCov">          1 :     OK (GrB_wait (v, GrB_MATERIALIZE)) ;</span></a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          3 :     LG_BRUTAL_BURBLE (LAGraph_Vector_Print (v, pr, stdout, msg)) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :     OK (GrB_Vector_free (&amp;v)) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span>            : </a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span><span class="lineCov">          1 : }</span></a>
+<a name="206"><span class="lineNum">     206 </span>            : #endif</a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="210"><span class="lineNum">     210 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            : TEST_LIST = {</a>
+<a name="213"><span class="lineNum">     213 </span>            :     {&quot;test_print&quot;, test_print},</a>
+<a name="214"><span class="lineNum">     214 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="215"><span class="lineNum">     215 </span>            :     {&quot;test_print_brutal&quot;, test_print_brutal},</a>
+<a name="216"><span class="lineNum">     216 </span>            :     #endif</a>
+<a name="217"><span class="lineNum">     217 </span>            :     {NULL, NULL}</a>
+<a name="218"><span class="lineNum">     218 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Structure.c.func-sort-c.html b/src/test/test_Vector_Structure.c.func-sort-c.html
new file mode 100644
index 0000000000..abfb448c29
--- /dev/null
+++ b/src/test/test_Vector_Structure.c.func-sort-c.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Structure.c<span style="font-size: 80%;"> (<a href="test_Vector_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Vector_Structure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#50">test_Vector_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#103">test_Vector_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#157">test_Vector_Structure_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Structure.c.func.html b/src/test/test_Vector_Structure.c.func.html
new file mode 100644
index 0000000000..3bf588e386
--- /dev/null
+++ b/src/test/test_Vector_Structure.c.func.html
@@ -0,0 +1,92 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Structure.c<span style="font-size: 80%;"> (<a href="test_Vector_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Vector_Structure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#32">setup</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#41">teardown</a></td>
+              <td class="coverFnHi">2</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#50">test_Vector_Structure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#103">test_Vector_Structure_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Vector_Structure.c.gcov.html#157">test_Vector_Structure_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Vector_Structure.c.gcov.html b/src/test/test_Vector_Structure.c.gcov.html
new file mode 100644
index 0000000000..7a0c559a48
--- /dev/null
+++ b/src/test/test_Vector_Structure.c.gcov.html
@@ -0,0 +1,263 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Vector_Structure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Vector_Structure.c<span style="font-size: 80%;"> (source / <a href="test_Vector_Structure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntry">85</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Vector_Structure.c:  test LAGraph_Vector_Structure</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Vector w = NULL, u = NULL ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : #define LEN 512</a>
+<a name="28"><span class="lineNum">      28 </span>            : char wtype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // setup: start a test</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          2 : void setup (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          2 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          2 : }</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : //------------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : // teardown: finalize a test</a>
+<a name="41"><span class="lineNum">      41 </span>            : //------------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          2 : void teardown (void)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          2 : }</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // test_Vector_Structure:  test LAGraph_Vector_Structure</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 : void test_Vector_Structure (void)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : {</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            :     // create a test vector</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     GrB_Index n = 10 ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_FP64, n)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 3.5, 0)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 4.7, 3)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 9.8, 7)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (u, LAGraph_COMPLETE_VERBOSE, stdout, msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            :     // get its structure</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     int result = LAGraph_Vector_Structure (&amp;w, u, msg) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (w, LAGraph_COMPLETE_VERBOSE, stdout, msg)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :     // check it</a>
+<a name="71"><span class="lineNum">      71 </span>            :     GrB_Index nvals ;</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     OK (GrB_Vector_size (&amp;n, u)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     TEST_CHECK (n == 10) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     OK (GrB_Vector_nvals (&amp;nvals, u)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :     TEST_CHECK (nvals == 3) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_TypeName (wtype_name, w, msg)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (wtype_name, &quot;bool&quot;)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">          1 :     bool x = false ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 0) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :     x = false ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 3) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          1 :     x = false ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 7) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;w)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">          1 : }</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            : //------------------------------------------------------------------------------</a>
+<a name="101"><span class="lineNum">     101 </span>            : // test_Vector_Structure_brutal</a>
+<a name="102"><span class="lineNum">     102 </span>            : //------------------------------------------------------------------------------</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 : void test_Vector_Structure_brutal (void)</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : {</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     // create a test vector</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          1 :     GrB_Index n = 10 ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;u, GrB_FP64, n)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 3.5, 0)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 4.7, 3)) ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">          1 :     OK (GrB_Vector_setElement_FP64 (u, 9.8, 7)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     // get its structure</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">          1 :     int result = LAGraph_Vector_Structure (&amp;w, u, msg) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_Print (w, LAGraph_COMPLETE_VERBOSE, stdout, msg)) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :     // check it</a>
+<a name="123"><span class="lineNum">     123 </span>            :     GrB_Index nvals ;</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :     OK (GrB_Vector_size (&amp;n, u)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">          1 :     TEST_CHECK (n == 10) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :     OK (GrB_Vector_nvals (&amp;nvals, u)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :     TEST_CHECK (nvals == 3) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          1 :     OK (LAGraph_Vector_TypeName (wtype_name, w, msg)) ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          1 :     TEST_CHECK (MATCHNAME (wtype_name, &quot;bool&quot;)) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">          1 :     bool x = false ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 0) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     x = false ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 3) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">          1 :     x = false ;</span></a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :     result = GrB_Vector_extractElement_BOOL (&amp;x, w, 7) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 :     TEST_CHECK (x) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;w)) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;u)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            : </a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          1 : }</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : #endif</a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            : //------------------------------------------------------------------------------</a>
+<a name="156"><span class="lineNum">     156 </span>            : // test_Vector_Structure_failures: test LAGraph_Vector_Structure error handling</a>
+<a name="157"><span class="lineNum">     157 </span>            : //------------------------------------------------------------------------------</a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">          1 : void test_Vector_Structure_failures (void)</span></a>
+<a name="160"><span class="lineNum">     160 </span>            : {</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :     w = NULL ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :     int result = LAGraph_Vector_Structure (NULL, NULL, msg) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :     printf (&quot;\nmsg: [%s]\n&quot;, msg) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :     result = LAGraph_Vector_Structure (&amp;w, NULL, msg) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NULL_POINTER) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">          1 :     TEST_CHECK (w == NULL) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          1 : }</span></a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="177"><span class="lineNum">     177 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            : TEST_LIST =</a>
+<a name="180"><span class="lineNum">     180 </span>            : {</a>
+<a name="181"><span class="lineNum">     181 </span>            :     { &quot;Vector_Structure&quot;, test_Vector_Structure },</a>
+<a name="182"><span class="lineNum">     182 </span>            :     { &quot;Vector_Structure_failures&quot;, test_Vector_Structure_failures },</a>
+<a name="183"><span class="lineNum">     183 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="184"><span class="lineNum">     184 </span>            :     { &quot;Vector_Structure_brutal&quot;, test_Vector_Structure_brutal },</a>
+<a name="185"><span class="lineNum">     185 </span>            :     #endif</a>
+<a name="186"><span class="lineNum">     186 </span>            :     { NULL, NULL }</a>
+<a name="187"><span class="lineNum">     187 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_WallClockTime.c.func-sort-c.html b/src/test/test_WallClockTime.c.func-sort-c.html
new file mode 100644
index 0000000000..d1ae99bba0
--- /dev/null
+++ b/src/test/test_WallClockTime.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_WallClockTime.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_WallClockTime.c<span style="font-size: 80%;"> (<a href="test_WallClockTime.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_WallClockTime.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_WallClockTime.c.gcov.html#29">test_WallClockTime</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_WallClockTime.c.func.html b/src/test/test_WallClockTime.c.func.html
new file mode 100644
index 0000000000..13796134b6
--- /dev/null
+++ b/src/test/test_WallClockTime.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_WallClockTime.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_WallClockTime.c<span style="font-size: 80%;"> (<a href="test_WallClockTime.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_WallClockTime.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_WallClockTime.c.gcov.html#29">test_WallClockTime</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_WallClockTime.c.gcov.html b/src/test/test_WallClockTime.c.gcov.html
new file mode 100644
index 0000000000..2420643749
--- /dev/null
+++ b/src/test/test_WallClockTime.c.gcov.html
@@ -0,0 +1,144 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_WallClockTime.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_WallClockTime.c<span style="font-size: 80%;"> (source / <a href="test_WallClockTime.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_WallClockTime.c:  test LAGraph_WallClockTime</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : double t ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // test_WallClockTime:  test LAGraph_WallClockTime</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 : void test_WallClockTime (void)</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : {</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            :     // start the timer</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     double t = LAGraph_WallClockTime ( ) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     // do some useless work</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     double x = msg [0] ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">      10001 :     for (int64_t k = 0 ; k &lt; 10000 ; k++)</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :     {</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">  100010000 :         for (int64_t i = 0 ; i &lt; 10000 ; i++)</span></a>
+<a name="44"><span class="lineNum">      44 </span>            :         {</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">  100000000 :             x = x + 1 ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">  100000000 :             if (x &gt; 100) x = x/2 ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :         }</a>
+<a name="48"><span class="lineNum">      48 </span>            :     }</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            :     // stop the timer</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     t = LAGraph_WallClockTime ( ) - t ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     // print the result so the compiler doesn't remove the loops above</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %g, time: %g sec\n&quot;, x, t) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 : }</span></a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="60"><span class="lineNum">      60 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="61"><span class="lineNum">      61 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : TEST_LIST =</a>
+<a name="64"><span class="lineNum">      64 </span>            : {</a>
+<a name="65"><span class="lineNum">      65 </span>            :     { &quot;WallClockTime&quot;, test_WallClockTime },</a>
+<a name="66"><span class="lineNum">      66 </span>            :     // no brutal test needed</a>
+<a name="67"><span class="lineNum">      67 </span>            :     { NULL, NULL }</a>
+<a name="68"><span class="lineNum">      68 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Xinit.c.func-sort-c.html b/src/test/test_Xinit.c.func-sort-c.html
new file mode 100644
index 0000000000..6e1182d232
--- /dev/null
+++ b/src/test/test_Xinit.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Xinit.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Xinit.c<span style="font-size: 80%;"> (<a href="test_Xinit.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_Xinit.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Xinit.c.gcov.html#33">test_Xinit</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Xinit.c.gcov.html#80">test_Xinit_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Xinit.c.func.html b/src/test/test_Xinit.c.func.html
new file mode 100644
index 0000000000..8ec1d1806f
--- /dev/null
+++ b/src/test/test_Xinit.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Xinit.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Xinit.c<span style="font-size: 80%;"> (<a href="test_Xinit.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_Xinit.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Xinit.c.gcov.html#33">test_Xinit</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_Xinit.c.gcov.html#80">test_Xinit_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_Xinit.c.gcov.html b/src/test/test_Xinit.c.gcov.html
new file mode 100644
index 0000000000..6c7f09d06a
--- /dev/null
+++ b/src/test/test_Xinit.c.gcov.html
@@ -0,0 +1,262 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_Xinit.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_Xinit.c<span style="font-size: 80%;"> (source / <a href="test_Xinit.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntry">76</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_Xinit.c:  test LAGr_Init and LAGraph_Global</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2023 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LAGraphX.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // functions defined in LAGr_Init.c:</a>
+<a name="22"><span class="lineNum">      22 </span>            : LAGRAPH_PUBLIC void LG_set_LAGr_Init_has_been_called (bool setting) ;</a>
+<a name="23"><span class="lineNum">      23 </span>            : LAGRAPH_PUBLIC bool LG_get_LAGr_Init_has_been_called (void) ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : //------------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : // global variables</a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : //------------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : // test_Xinit:  test LAGr_Init</a>
+<a name="33"><span class="lineNum">      33 </span>            : //------------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">          1 : void test_Xinit (void)</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     printf (&quot;\nTesting LAGr_Init: with expected errors\n&quot;) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 :     TEST_CHECK (LAGr_Init (GrB_NONBLOCKING, NULL, NULL, NULL, NULL, msg)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :         == GrB_NULL_POINTER) ;</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :     TEST_CHECK (LAGr_Init (GrB_NONBLOCKING, malloc, NULL, NULL, NULL, msg)</span></a>
+<a name="45"><span class="lineNum">      45 </span>            :         == GrB_NULL_POINTER) ;</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     TEST_CHECK (LAGr_Init (GrB_NONBLOCKING, NULL, NULL, NULL, free, msg)</span></a>
+<a name="49"><span class="lineNum">      49 </span>            :         == GrB_NULL_POINTER) ;</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     OK (LAGr_Init (GrB_NONBLOCKING, malloc, calloc, realloc, free, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == true) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            :     // LAGr_Init cannot be called twice</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          1 :     int status = LAGr_Init (GrB_NONBLOCKING,</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :         malloc, calloc, realloc, free, msg) ;</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :     TEST_CHECK (status != GrB_SUCCESS) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     printf (&quot;msg: [%s]\n&quot;, msg) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            :     // the flag is still set after LAGraph_Finalize has been called,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     // per LAGraph policy</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == true) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            :     // reset and try again</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :     LG_set_LAGr_Init_has_been_called (false) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == false) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :     OK (LAGr_Init (GrB_NONBLOCKING, malloc, calloc, realloc, free, msg)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == true) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == true) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 : }</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            : //------------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            : // test_Xinit_brutal:  test LAGr_Init with brutal memory debug</a>
+<a name="79"><span class="lineNum">      79 </span>            : //------------------------------------------------------------------------------</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">          1 : void test_Xinit_brutal (void)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            : {</a>
+<a name="84"><span class="lineNum">      84 </span>            :     // no brutal memory failures, but test LG_brutal_malloc/calloc/realloc/free</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          1 :     LG_brutal = -1 ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          1 :     LG_nmalloc = 0 ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          1 :     OK (LAGr_Init (GrB_NONBLOCKING,</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :         LG_brutal_malloc, LG_brutal_calloc, LG_brutal_realloc, LG_brutal_free,</a>
+<a name="89"><span class="lineNum">      89 </span>            :         msg)) ;</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">          1 :     int32_t *p = LG_brutal_malloc (42 * sizeof (int32_t)) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">          1 :     TEST_CHECK (p != NULL) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">          1 :     LG_brutal_free (p) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     p = LG_brutal_calloc (42, sizeof (int32_t)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     {</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         42 :         TEST_CHECK (p [k] == 0) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :     }</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          1 :     p = LG_brutal_realloc (p, 99 * sizeof (int32_t)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         43 :     for (int k = 0 ; k &lt; 42 ; k++)</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     {</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         42 :         TEST_CHECK (p [k] == 0) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :     }</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">          1 :     LG_brutal_free (p) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">          1 :     p = LG_brutal_realloc (NULL, 4 * sizeof (int32_t)) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          5 :     for (int k = 0 ; k &lt; 4 ; k++)</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :     {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          4 :         p [k] = k ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     }</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">          1 :     LG_brutal_free (p) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">          1 :     TEST_CHECK (LG_nmalloc == 0) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span>            :     // brutal tests: keep giving the method more malloc's until it succeeds</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         13 :     for (int nbrutal = 0 ; nbrutal &lt; 1000 ; nbrutal++)</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     {</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">         13 :         LG_brutal = nbrutal ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">         13 :         GB_Global_GrB_init_called_set (false) ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         13 :         GrB_Info info = GxB_init (GrB_NONBLOCKING, LG_brutal_malloc,</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :             LG_brutal_calloc, LG_brutal_realloc, LG_brutal_free) ;</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         13 :         void *p = NULL, *pnew = NULL ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         13 :         bool ok = false ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         13 :         if (info == GrB_SUCCESS)</span></a>
+<a name="126"><span class="lineNum">     126 </span>            :         {</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          3 :             p = LG_brutal_realloc (NULL, 42) ;</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 :             pnew = NULL ;</span></a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">          3 :             ok = (p != NULL) ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">          3 :             if (ok)</span></a>
+<a name="131"><span class="lineNum">     131 </span>            :             {</a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">          2 :                 pnew = LG_brutal_realloc (p, 107) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">          2 :                 ok = (pnew != NULL) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span><span class="lineCov">          2 :                 LG_brutal_free (ok ? pnew : p) ;</span></a>
+<a name="135"><span class="lineNum">     135 </span>            :             }</a>
+<a name="136"><span class="lineNum">     136 </span>            :         }</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         13 :         if (ok)</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :         {</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">          1 :             OK (GrB_finalize ( )) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">          1 :             printf (&quot;\nGxB_init, finally: %d %g\n&quot;, nbrutal,</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :                 (double) LG_nmalloc) ;</a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">          1 :             TEST_CHECK (LG_nmalloc == 0) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          1 :             break ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :         }</a>
+<a name="145"><span class="lineNum">     145 </span>            :     }</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">          1 :     TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == true) ;</span></a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         52 :     for (int nbrutal = 0 ; nbrutal &lt; 1000 ; nbrutal++)</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     {</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         52 :         LG_brutal = nbrutal ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :         // reset both GraphBLAS and LAGraph</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         52 :         GB_Global_GrB_init_called_set (false) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         52 :         LG_set_LAGr_Init_has_been_called (false) ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         52 :         TEST_CHECK (LG_get_LAGr_Init_has_been_called ( ) == false) ;</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :         // try to initialize GraphBLAS and LAGraph</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         52 :         int result = LAGr_Init (GrB_NONBLOCKING,</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :             LG_brutal_malloc, LG_brutal_calloc,</a>
+<a name="159"><span class="lineNum">     159 </span>            :             LG_brutal_realloc, LG_brutal_free, msg) ;</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         52 :         if (result == 0)</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :         {</a>
+<a name="162"><span class="lineNum">     162 </span>            :             // success</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">          1 :             OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">          1 :             printf (&quot;LAGr_Init: finally: %d %g\n&quot;, nbrutal,</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :                 (double) LG_nmalloc) ;</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">          1 :             TEST_CHECK (LG_nmalloc == 0) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 :             break ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :         }</a>
+<a name="169"><span class="lineNum">     169 </span>            :         // failure: free anything partially allocated</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         51 :         OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :     }</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          1 : }</span></a>
+<a name="173"><span class="lineNum">     173 </span>            : #endif</a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="176"><span class="lineNum">     176 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="177"><span class="lineNum">     177 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            : TEST_LIST =</a>
+<a name="180"><span class="lineNum">     180 </span>            : {</a>
+<a name="181"><span class="lineNum">     181 </span>            :     { &quot;Xinit&quot;, test_Xinit },</a>
+<a name="182"><span class="lineNum">     182 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="183"><span class="lineNum">     183 </span>            :     { &quot;Xinit_brutal&quot;, test_Xinit_brutal },</a>
+<a name="184"><span class="lineNum">     184 </span>            :     #endif</a>
+<a name="185"><span class="lineNum">     185 </span>            :     { NULL, NULL }</a>
+<a name="186"><span class="lineNum">     186 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_acutest.c.func-sort-c.html b/src/test/test_acutest.c.func-sort-c.html
new file mode 100644
index 0000000000..d9ebcd9ccb
--- /dev/null
+++ b/src/test/test_acutest.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_acutest.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_acutest.c<span style="font-size: 80%;"> (<a href="test_acutest.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_acutest.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_acutest.c.gcov.html#19">test_dummy</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_acutest.c.func.html b/src/test/test_acutest.c.func.html
new file mode 100644
index 0000000000..1e35447d59
--- /dev/null
+++ b/src/test/test_acutest.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_acutest.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_acutest.c<span style="font-size: 80%;"> (<a href="test_acutest.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_acutest.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_acutest.c.gcov.html#19">test_dummy</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_acutest.c.gcov.html b/src/test/test_acutest.c.gcov.html
new file mode 100644
index 0000000000..d55cf5c547
--- /dev/null
+++ b/src/test/test_acutest.c.gcov.html
@@ -0,0 +1,124 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_acutest.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_acutest.c<span style="font-size: 80%;"> (source / <a href="test_acutest.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_acutest.c: simple demo of how to use acutest</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Scott McMillan, SEI Carnegie Mellon University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //****************************************************************************</a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">          1 : void test_dummy(void)</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : {</a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">          1 :     TEST_CHECK(42 == 42);</span></a>
+<a name="24"><span class="lineNum">      24 </span>            :     // this test message will not appear in the log, because the test passes:</a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">          1 :     TEST_MSG (&quot;Testing equality %d&quot;, 42) ;</span></a>
+<a name="26"><span class="lineNum">      26 </span><span class="lineCov">          1 : }</span></a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : //****************************************************************************</a>
+<a name="29"><span class="lineNum">      29 </span>            : #if 0</a>
+<a name="30"><span class="lineNum">      30 </span>            : void test_dummy_fails(void)</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            :     TEST_CHECK(42 == 0);</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // this test message will appear in the log, because the test fails:</a>
+<a name="34"><span class="lineNum">      34 </span>            :     TEST_MSG (&quot;this test is supposed to fail, because %d != %d\n&quot;, 42, 0) ;</a>
+<a name="35"><span class="lineNum">      35 </span>            : }</a>
+<a name="36"><span class="lineNum">      36 </span>            : #endif</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : //****************************************************************************</a>
+<a name="39"><span class="lineNum">      39 </span>            : //****************************************************************************</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : // uncomment the line below to create an intentional test failure.</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : TEST_LIST = {</a>
+<a name="44"><span class="lineNum">      44 </span>            :     {&quot;dummy&quot;, test_dummy},</a>
+<a name="45"><span class="lineNum">      45 </span>            : //  {&quot;dummy_fails&quot;, test_dummy_fails},</a>
+<a name="46"><span class="lineNum">      46 </span>            :     // no brutal test needed</a>
+<a name="47"><span class="lineNum">      47 </span>            :     {NULL, NULL}</a>
+<a name="48"><span class="lineNum">      48 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_export.c.func-sort-c.html b/src/test/test_export.c.func-sort-c.html
new file mode 100644
index 0000000000..8e2af0f1ad
--- /dev/null
+++ b/src/test/test_export.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_export.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_export.c<span style="font-size: 80%;"> (<a href="test_export.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_export.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_export.c.gcov.html#73">test_export</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_export.c.gcov.html#142">test_export_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_export.c.func.html b/src/test/test_export.c.func.html
new file mode 100644
index 0000000000..4f35d221bc
--- /dev/null
+++ b/src/test/test_export.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_export.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_export.c<span style="font-size: 80%;"> (<a href="test_export.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_export.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_export.c.gcov.html#73">test_export</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_export.c.gcov.html#142">test_export_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_export.c.gcov.html b/src/test/test_export.c.gcov.html
new file mode 100644
index 0000000000..b16a9dcbef
--- /dev/null
+++ b/src/test/test_export.c.gcov.html
@@ -0,0 +1,295 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_export.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_export.c<span style="font-size: 80%;"> (source / <a href="test_export.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntry">80</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_export.c: test LG_check_export</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &lt;LAGraph_test.h&gt;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : char msg[LAGRAPH_MSG_LEN];</a>
+<a name="21"><span class="lineNum">      21 </span>            : LAGraph_Graph G = NULL;</a>
+<a name="22"><span class="lineNum">      22 </span>            : GrB_Type atype = NULL ;</a>
+<a name="23"><span class="lineNum">      23 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LEN 512</a>
+<a name="26"><span class="lineNum">      26 </span>            : char filename [LEN+1] ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : typedef struct</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LAGraph_Kind kind ;</a>
+<a name="31"><span class="lineNum">      31 </span>            :     const char *name ;</a>
+<a name="32"><span class="lineNum">      32 </span>            : }</a>
+<a name="33"><span class="lineNum">      33 </span>            : matrix_info ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : const matrix_info files [ ] =</a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;A.mtx&quot; },</a>
+<a name="38"><span class="lineNum">      38 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;cover.mtx&quot; },</a>
+<a name="39"><span class="lineNum">      39 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;jagmesh7.mtx&quot; },</a>
+<a name="40"><span class="lineNum">      40 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-cdlp-directed-example.mtx&quot; },</a>
+<a name="41"><span class="lineNum">      41 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-cdlp-undirected-example.mtx&quot; },</a>
+<a name="42"><span class="lineNum">      42 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;ldbc-directed-example.mtx&quot; },</a>
+<a name="43"><span class="lineNum">      43 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-undirected-example.mtx&quot; },</a>
+<a name="44"><span class="lineNum">      44 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;ldbc-wcc-example.mtx&quot; },</a>
+<a name="45"><span class="lineNum">      45 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;LFAT5.mtx&quot; },</a>
+<a name="46"><span class="lineNum">      46 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf1.mtx&quot; },</a>
+<a name="47"><span class="lineNum">      47 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf2.mtx&quot; },</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;msf3.mtx&quot; },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;sample2.mtx&quot; },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;sample.mtx&quot; },</a>
+<a name="51"><span class="lineNum">      51 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;olm1000.mtx&quot; },</a>
+<a name="52"><span class="lineNum">      52 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;bcsstk13.mtx&quot; },</a>
+<a name="53"><span class="lineNum">      53 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;cryg2500.mtx&quot; },</a>
+<a name="54"><span class="lineNum">      54 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;tree-example.mtx&quot; },</a>
+<a name="55"><span class="lineNum">      55 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;west0067.mtx&quot; },</a>
+<a name="56"><span class="lineNum">      56 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;karate.mtx&quot; },</a>
+<a name="57"><span class="lineNum">      57 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_bool.mtx&quot; },</a>
+<a name="58"><span class="lineNum">      58 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_int8.mtx&quot; },</a>
+<a name="59"><span class="lineNum">      59 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_int16.mtx&quot; },</a>
+<a name="60"><span class="lineNum">      60 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_int32.mtx&quot; },</a>
+<a name="61"><span class="lineNum">      61 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_int64.mtx&quot; },</a>
+<a name="62"><span class="lineNum">      62 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_uint8.mtx&quot; },</a>
+<a name="63"><span class="lineNum">      63 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_uint16.mtx&quot; },</a>
+<a name="64"><span class="lineNum">      64 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_int32.mtx&quot; },</a>
+<a name="65"><span class="lineNum">      65 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;matrix_uint64.mtx&quot; },</a>
+<a name="66"><span class="lineNum">      66 </span>            :     { LAGraph_ADJACENCY_DIRECTED,   &quot;skew_fp32.mtx&quot; },</a>
+<a name="67"><span class="lineNum">      67 </span>            :     { LAGraph_ADJACENCY_UNDIRECTED, &quot;pushpull.mtx&quot; },</a>
+<a name="68"><span class="lineNum">      68 </span>            :     { LAGRAPH_UNKNOWN, &quot;&quot; },</a>
+<a name="69"><span class="lineNum">      69 </span>            : } ;</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : // test_export</a>
+<a name="73"><span class="lineNum">      73 </span>            : //------------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 : void test_export (void)</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : {</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">          1 :     LAGraph_Init (msg);</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, C = NULL ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         31 :     {</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            :         // load the adjacency matrix as A</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">         32 :         const char *aname = files [k].name ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">         32 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         32 :         if (strlen (aname) == 0) break;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         31 :         TEST_CASE (aname) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">         31 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         31 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         31 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">         31 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">         31 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         31 :         OK (fclose (f)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         31 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         31 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         31 :         OK (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span>            :         // create the graph</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">         31 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">         31 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :         // export the graph</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         31 :         GrB_Index *Ap = NULL ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         31 :         GrB_Index *Aj = NULL ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">         31 :         void *Ax = NULL ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :         GrB_Index Ap_len, Aj_len, Ax_len, nrows, ncols ;</a>
+<a name="107"><span class="lineNum">     107 </span>            :         size_t typesize ;</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         31 :         OK (GrB_Matrix_nrows (&amp;nrows, G-&gt;A)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">         31 :         OK (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         31 :         OK (LG_check_export (G, &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_len, &amp;Aj_len,</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :             &amp;Ax_len, &amp;typesize, msg)) ;</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="115"><span class="lineNum">     115 </span>            :         #if GxB_IMPLEMENTATION &gt;= GxB_VERSION (6,0,2)</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">         31 :         printf (&quot;reimport and check result\n&quot;) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">         31 :         OK (GxB_Matrix_import_CSR (&amp;C, atype, nrows, ncols, &amp;Ap, &amp;Aj, &amp;Ax,</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :             Ap_len * sizeof (GrB_Index),</a>
+<a name="119"><span class="lineNum">     119 </span>            :             Aj_len * sizeof (GrB_Index),</a>
+<a name="120"><span class="lineNum">     120 </span>            :             Ax_len * typesize,</a>
+<a name="121"><span class="lineNum">     121 </span>            :             false, true, NULL)) ;</a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         31 :         OK (GrB_wait (C, GrB_MATERIALIZE)) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         31 :         bool ok = false ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">         31 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, G-&gt;A, C, msg)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">         31 :         TEST_CHECK (ok) ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">         31 :         OK (GrB_free (&amp;C)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            :         #endif</a>
+<a name="128"><span class="lineNum">     128 </span>            :         #endif</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Ap, NULL) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Aj, NULL) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Ax, NULL) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">         31 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     }</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">          1 :     LAGraph_Finalize(msg);</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">          1 : }</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            : //------------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            : // test_export_brutal</a>
+<a name="141"><span class="lineNum">     141 </span>            : //------------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          1 : void test_export_brutal (void)</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : {</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :     GrB_Matrix A = NULL, C = NULL ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">         31 :     {</span></a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :         // load the adjacency matrix as A</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">         32 :         const char *aname = files [k].name ;</span></a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">         32 :         LAGraph_Kind kind = files [k].kind ;</span></a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">         32 :         if (strlen (aname) == 0) break;</span></a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         31 :         TEST_CASE (aname) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">         31 :         printf (&quot;\nMatrix: %s\n&quot;, aname) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">         31 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         31 :         FILE *f = fopen (filename, &quot;r&quot;) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         31 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">         31 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">         31 :         OK (fclose (f)) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">         31 :         TEST_MSG (&quot;Loading of adjacency matrix failed&quot;) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">         31 :         OK (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">         31 :         OK (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : </a>
+<a name="169"><span class="lineNum">     169 </span>            :         // create the graph</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">         31 :         OK (LAGraph_New (&amp;G, &amp;A, kind, msg)) ;</span></a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">         31 :         TEST_CHECK (A == NULL) ;    // A has been moved into G-&gt;A</span></a>
+<a name="172"><span class="lineNum">     172 </span>            : </a>
+<a name="173"><span class="lineNum">     173 </span>            :         // export the graph</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">         31 :         GrB_Index *Ap = NULL ;</span></a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">         31 :         GrB_Index *Aj = NULL ;</span></a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         31 :         void *Ax = NULL ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :         GrB_Index Ap_len, Aj_len, Ax_len, nrows, ncols ;</a>
+<a name="178"><span class="lineNum">     178 </span>            :         size_t typesize ;</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">         31 :         OK (GrB_Matrix_nrows (&amp;nrows, G-&gt;A)) ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         31 :         OK (GrB_Matrix_ncols (&amp;ncols, G-&gt;A)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">        236 :         LG_BRUTAL_BURBLE (LG_check_export (G, &amp;Ap, &amp;Aj, &amp;Ax, &amp;Ap_len, &amp;Aj_len,</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :             &amp;Ax_len, &amp;typesize, msg)) ;</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            :         #if GxB_IMPLEMENTATION &gt;= GxB_VERSION (6,0,2)</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         31 :         printf (&quot;reimport and check result\n&quot;) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         31 :         OK (GxB_Matrix_import_CSR (&amp;C, atype, nrows, ncols, &amp;Ap, &amp;Aj, &amp;Ax,</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :             Ap_len * sizeof (GrB_Index),</a>
+<a name="189"><span class="lineNum">     189 </span>            :             Aj_len * sizeof (GrB_Index),</a>
+<a name="190"><span class="lineNum">     190 </span>            :             Ax_len * typesize,</a>
+<a name="191"><span class="lineNum">     191 </span>            :             false, true, NULL)) ;</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         31 :         OK (GrB_wait (C, GrB_MATERIALIZE)) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">         31 :         bool ok = false ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         31 :         OK (LAGraph_Matrix_IsEqual (&amp;ok, G-&gt;A, C, msg)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         31 :         TEST_CHECK (ok) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">        272 :         LG_BRUTAL_BURBLE (LAGraph_Matrix_IsEqual (&amp;ok, G-&gt;A, C, msg)) ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">         31 :         TEST_CHECK (ok) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">         31 :         OK (GrB_free (&amp;C)) ;</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :         #endif</a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Ap, NULL) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Aj, NULL) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         31 :         LAGraph_Free ((void **) &amp;Ax, NULL) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         31 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :     }</a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">          1 : }</span></a>
+<a name="209"><span class="lineNum">     209 </span>            : #endif</a>
+<a name="210"><span class="lineNum">     210 </span>            : </a>
+<a name="211"><span class="lineNum">     211 </span>            : //****************************************************************************</a>
+<a name="212"><span class="lineNum">     212 </span>            : //****************************************************************************</a>
+<a name="213"><span class="lineNum">     213 </span>            : TEST_LIST = {</a>
+<a name="214"><span class="lineNum">     214 </span>            :     {&quot;test_export&quot;, test_export },</a>
+<a name="215"><span class="lineNum">     215 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="216"><span class="lineNum">     216 </span>            :     {&quot;test_export_brutal&quot;, test_export_brutal },</a>
+<a name="217"><span class="lineNum">     217 </span>            :     #endif</a>
+<a name="218"><span class="lineNum">     218 </span>            :     {NULL, NULL}</a>
+<a name="219"><span class="lineNum">     219 </span>            : };</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_fopen.c.func-sort-c.html b/src/test/test_fopen.c.func-sort-c.html
new file mode 100644
index 0000000000..5ca25833a3
--- /dev/null
+++ b/src/test/test_fopen.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_fopen.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_fopen.c<span style="font-size: 80%;"> (<a href="test_fopen.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_fopen.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_fopen.c.gcov.html#22">test_fopen</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_fopen.c.gcov.html#34">test_fopen_failure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_fopen.c.func.html b/src/test/test_fopen.c.func.html
new file mode 100644
index 0000000000..2586cdd22f
--- /dev/null
+++ b/src/test/test_fopen.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_fopen.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_fopen.c<span style="font-size: 80%;"> (<a href="test_fopen.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_fopen.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_fopen.c.gcov.html#22">test_fopen</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_fopen.c.gcov.html#34">test_fopen_failure</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_fopen.c.gcov.html b/src/test/test_fopen.c.gcov.html
new file mode 100644
index 0000000000..eae9523ad6
--- /dev/null
+++ b/src/test/test_fopen.c.gcov.html
@@ -0,0 +1,128 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_fopen.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_fopen.c<span style="font-size: 80%;"> (source / <a href="test_fopen.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntry">13</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_fopen.c:  test fopen</a>
+<a name="3"><span class="lineNum">       3 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // test fopen, as an example of how to use LG_SOURCE_DIR</a>
+<a name="22"><span class="lineNum">      22 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span><span class="lineCov">          1 : void test_fopen(void)</span></a>
+<a name="25"><span class="lineNum">      25 </span>            : {</a>
+<a name="26"><span class="lineNum">      26 </span>            :     char buffer [1000] ;</a>
+<a name="27"><span class="lineNum">      27 </span><span class="lineCov">          1 :     printf (&quot;\nLAGraph source directory: [%s]\n&quot;, LG_SOURCE_DIR) ;</span></a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">          1 :     FILE *f = fopen (LG_SOURCE_DIR &quot;/data/A.mtx&quot;, &quot;r&quot;) ;</span></a>
+<a name="29"><span class="lineNum">      29 </span><span class="lineCov">          1 :     TEST_CHECK (f != NULL) ;</span></a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">          1 :     char *r = fgets (buffer, 512, f) ;</span></a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">          1 :     TEST_CHECK (r != NULL) ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">          1 :     printf (&quot;[%s]\n&quot;, buffer) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">          1 :     fclose (f) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : }</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 : void test_fopen_failure (void)</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">          1 :     FILE *f = fopen (&quot;garbage&quot;, &quot;r&quot;) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">          1 :     TEST_CHECK (f == NULL) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          1 : }</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            : // run the test</a>
+<a name="44"><span class="lineNum">      44 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : TEST_LIST =</a>
+<a name="47"><span class="lineNum">      47 </span>            : {</a>
+<a name="48"><span class="lineNum">      48 </span>            :     { &quot;fopen&quot;, test_fopen },</a>
+<a name="49"><span class="lineNum">      49 </span>            :     { &quot;fopen_failure&quot;, test_fopen_failure },</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // no brutal test needed</a>
+<a name="51"><span class="lineNum">      51 </span>            :     { NULL, NULL }</a>
+<a name="52"><span class="lineNum">      52 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_minmax.c.func-sort-c.html b/src/test/test_minmax.c.func-sort-c.html
new file mode 100644
index 0000000000..84b78bf89f
--- /dev/null
+++ b/src/test/test_minmax.c.func-sort-c.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_minmax.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_minmax.c<span style="font-size: 80%;"> (<a href="test_minmax.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_minmax.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#165">test_minmax</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#432">test_minmax_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#280">test_minmax_int64</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#357">test_minmax_uint64</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#147">setup</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#156">teardown</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_minmax.c.func.html b/src/test/test_minmax.c.func.html
new file mode 100644
index 0000000000..ae8e451713
--- /dev/null
+++ b/src/test/test_minmax.c.func.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_minmax.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_minmax.c<span style="font-size: 80%;"> (<a href="test_minmax.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_minmax.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#147">setup</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#156">teardown</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#165">test_minmax</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#432">test_minmax_failures</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#280">test_minmax_int64</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_minmax.c.gcov.html#357">test_minmax_uint64</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_minmax.c.gcov.html b/src/test/test_minmax.c.gcov.html
new file mode 100644
index 0000000000..f47623b3fa
--- /dev/null
+++ b/src/test/test_minmax.c.gcov.html
@@ -0,0 +1,539 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_minmax.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_minmax.c<span style="font-size: 80%;"> (source / <a href="test_minmax.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntry">135</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_minmax.c:  test LAGraph_Cached_EMin/EMax</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : //------------------------------------------------------------------------------</a>
+<a name="22"><span class="lineNum">      22 </span>            : // global variables</a>
+<a name="23"><span class="lineNum">      23 </span>            : //------------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : int status ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Info info ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : GrB_Matrix A = NULL ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : LAGraph_Graph G = NULL ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : const char *name ;</a>
+<a name="31"><span class="lineNum">      31 </span>            : #define LEN 512</a>
+<a name="32"><span class="lineNum">      32 </span>            : char filename [LEN+1] ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : //------------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            : // test matrices</a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : typedef struct</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            :     double emin ;</a>
+<a name="42"><span class="lineNum">      42 </span>            :     double emax ;</a>
+<a name="43"><span class="lineNum">      43 </span>            :     const char *name ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : }</a>
+<a name="45"><span class="lineNum">      45 </span>            : matrix_info ;</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : const matrix_info files [ ] =</a>
+<a name="48"><span class="lineNum">      48 </span>            : {</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //              amin                amax name</a>
+<a name="50"><span class="lineNum">      50 </span>            :     {                  1,                  1, &quot;A2.mtx&quot; } ,</a>
+<a name="51"><span class="lineNum">      51 </span>            :     {                  1,                  1, &quot;A.mtx&quot; } ,</a>
+<a name="52"><span class="lineNum">      52 </span>            :     {      -583929119292,      1191785641270, &quot;bcsstk13.mtx&quot; } ,</a>
+<a name="53"><span class="lineNum">      53 </span>            :     {                  1,                  9, &quot;comments_cover.mtx&quot; } ,</a>
+<a name="54"><span class="lineNum">      54 </span>            :     {              0.118,              0.754, &quot;comments_full.mtx&quot; } ,</a>
+<a name="55"><span class="lineNum">      55 </span>            :     {          -1.863354,           1.863354, &quot;comments_west0067.mtx&quot; } ,</a>
+<a name="56"><span class="lineNum">      56 </span>            :     {                  1,                  9, &quot;cover.mtx&quot; } ,</a>
+<a name="57"><span class="lineNum">      57 </span>            :     {                  1,                  1, &quot;cover_structure.mtx&quot; } ,</a>
+<a name="58"><span class="lineNum">      58 </span>            :     { -5679.837539484813,  4615.532487504805, &quot;cryg2500.mtx&quot; } ,</a>
+<a name="59"><span class="lineNum">      59 </span>            :     {                  0,                  0, &quot;empty.mtx&quot; } ,</a>
+<a name="60"><span class="lineNum">      60 </span>            :     {              0.118,              0.754, &quot;full.mtx&quot; } ,</a>
+<a name="61"><span class="lineNum">      61 </span>            :     {              0.118,              0.754, &quot;full_noheader.mtx&quot; } ,</a>
+<a name="62"><span class="lineNum">      62 </span>            :     { 3.9635860919952393, 28.239410400390625, &quot;full_symmetric.mtx&quot; } ,</a>
+<a name="63"><span class="lineNum">      63 </span>            :     {                  1,                  1, &quot;jagmesh7.mtx&quot; } ,</a>
+<a name="64"><span class="lineNum">      64 </span>            :     {                  1,                  1, &quot;karate.mtx&quot; } ,</a>
+<a name="65"><span class="lineNum">      65 </span>            :     {                  1,                  1, &quot;ldbc-cdlp-directed-example.mtx&quot; } ,</a>
+<a name="66"><span class="lineNum">      66 </span>            :     {                  1,                  1, &quot;ldbc-cdlp-undirected-example.mtx&quot; } ,</a>
+<a name="67"><span class="lineNum">      67 </span>            :     {                  1,                  1, &quot;ldbc-directed-example-bool.mtx&quot; } ,</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {                0.1,               0.83, &quot;ldbc-directed-example.mtx&quot; } ,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     {                  1,                  1, &quot;ldbc-directed-example-unweighted.mtx&quot; } ,</a>
+<a name="70"><span class="lineNum">      70 </span>            :     {                  1,                  1, &quot;ldbc-undirected-example-bool.mtx&quot; } ,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     {               0.12,                0.9, &quot;ldbc-undirected-example.mtx&quot; } ,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     {                  1,                  1, &quot;ldbc-undirected-example-unweighted.mtx&quot; } ,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     {                  1,                  1, &quot;ldbc-wcc-example.mtx&quot; } ,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     {           -6283200,           12566400, &quot;LFAT5.mtx&quot; } ,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     {           -6283200,           12566400, &quot;LFAT5_two.mtx&quot; } ,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     {              -1.06,              2.429, &quot;lp_afiro.mtx&quot; } ,</a>
+<a name="77"><span class="lineNum">      77 </span>            :     {                  1,                  1, &quot;lp_afiro_structure.mtx&quot; } ,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     {                  0,                  1, &quot;matrix_bool.mtx&quot; } ,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     {          -INFINITY,           INFINITY, &quot;matrix_fp32.mtx&quot; } ,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     {                  1,                  1, &quot;matrix_fp32_structure.mtx&quot; } ,</a>
+<a name="81"><span class="lineNum">      81 </span>            :     {          -INFINITY,           INFINITY, &quot;matrix_fp64.mtx&quot; } ,</a>
+<a name="82"><span class="lineNum">      82 </span>            :     {             -32768,              32767, &quot;matrix_int16.mtx&quot; } ,</a>
+<a name="83"><span class="lineNum">      83 </span>            :     {      -2147483648.0,         2147483647, &quot;matrix_int32.mtx&quot; } ,</a>
+<a name="84"><span class="lineNum">      84 </span>            :     {               -128,                127, &quot;matrix_int8.mtx&quot; } ,</a>
+<a name="85"><span class="lineNum">      85 </span>            :     {                  0,              65535, &quot;matrix_uint16.mtx&quot; } ,</a>
+<a name="86"><span class="lineNum">      86 </span>            :     {                  0,         4294967295, &quot;matrix_uint32.mtx&quot; } ,</a>
+<a name="87"><span class="lineNum">      87 </span>            :     {                  0,                255, &quot;matrix_uint8.mtx&quot; } ,</a>
+<a name="88"><span class="lineNum">      88 </span>            :     {                  1,                  1, &quot;msf1.mtx&quot; } ,</a>
+<a name="89"><span class="lineNum">      89 </span>            :     {                  1,                  6, &quot;msf2.mtx&quot; } ,</a>
+<a name="90"><span class="lineNum">      90 </span>            :     {                  1,                  2, &quot;msf3.mtx&quot; } ,</a>
+<a name="91"><span class="lineNum">      91 </span>            :     {        -45777.0931,         22888.5466, &quot;olm1000.mtx&quot; } ,</a>
+<a name="92"><span class="lineNum">      92 </span>            :     {                  1,                  1, &quot;pushpull.mtx&quot; } ,</a>
+<a name="93"><span class="lineNum">      93 </span>            :     {                  1,                  1, &quot;sample2.mtx&quot; } ,</a>
+<a name="94"><span class="lineNum">      94 </span>            :     {                  1,                  1, &quot;sample.mtx&quot; } ,</a>
+<a name="95"><span class="lineNum">      95 </span>            :     {          -INFINITY,           INFINITY, &quot;skew_fp32.mtx&quot; } ,</a>
+<a name="96"><span class="lineNum">      96 </span>            :     {          -INFINITY,           INFINITY, &quot;skew_fp64.mtx&quot; } ,</a>
+<a name="97"><span class="lineNum">      97 </span>            :     {             -30000,              30000, &quot;skew_int16.mtx&quot; } ,</a>
+<a name="98"><span class="lineNum">      98 </span>            :     {          -30000000,           30000000, &quot;skew_int32.mtx&quot; } ,</a>
+<a name="99"><span class="lineNum">      99 </span>            :     {               -125,                125, &quot;skew_int8.mtx&quot; } ,</a>
+<a name="100"><span class="lineNum">     100 </span>            :     {                  1,                  7, &quot;sources_7.mtx&quot; } ,</a>
+<a name="101"><span class="lineNum">     101 </span>            :     {                  1,                  1, &quot;structure.mtx&quot; } ,</a>
+<a name="102"><span class="lineNum">     102 </span>            :     {                  1,                  9, &quot;test_BF.mtx&quot; } ,</a>
+<a name="103"><span class="lineNum">     103 </span>            :     {                  0,                457, &quot;test_FW_1000.mtx&quot; } ,</a>
+<a name="104"><span class="lineNum">     104 </span>            :     {                  1,                214, &quot;test_FW_2003.mtx&quot; } ,</a>
+<a name="105"><span class="lineNum">     105 </span>            :     {                  1,               5679, &quot;test_FW_2500.mtx&quot; } ,</a>
+<a name="106"><span class="lineNum">     106 </span>            :     {                  1,                  1, &quot;tree-example.mtx&quot; } ,</a>
+<a name="107"><span class="lineNum">     107 </span>            :     {          -1.863354,           1.863354, &quot;west0067_jumbled.mtx&quot; } ,</a>
+<a name="108"><span class="lineNum">     108 </span>            :     {          -1.863354,           1.863354, &quot;west0067.mtx&quot; } ,</a>
+<a name="109"><span class="lineNum">     109 </span>            :     {          -1.863354,           1.863354, &quot;west0067_noheader.mtx&quot; } ,</a>
+<a name="110"><span class="lineNum">     110 </span>            :     {                  0,       1.4055985944, &quot;zenios.mtx&quot; } ,</a>
+<a name="111"><span class="lineNum">     111 </span>            :     {                  0,                  0, &quot;&quot; }</a>
+<a name="112"><span class="lineNum">     112 </span>            : } ;</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            : // additional files (cast to double is not accurate):</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            : typedef struct</a>
+<a name="117"><span class="lineNum">     117 </span>            : {</a>
+<a name="118"><span class="lineNum">     118 </span>            :     int64_t emin ;</a>
+<a name="119"><span class="lineNum">     119 </span>            :     int64_t emax ;</a>
+<a name="120"><span class="lineNum">     120 </span>            :     const char *name ;</a>
+<a name="121"><span class="lineNum">     121 </span>            : }</a>
+<a name="122"><span class="lineNum">     122 </span>            : matrix_info_int64 ;</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            : const matrix_info_int64 files_int64 [ ] =</a>
+<a name="125"><span class="lineNum">     125 </span>            : {</a>
+<a name="126"><span class="lineNum">     126 </span>            :     { -9223372036854775800L,  9223372036854775807L, &quot;matrix_int64.mtx&quot; } ,</a>
+<a name="127"><span class="lineNum">     127 </span>            :     { -9223372036854775807L,  9223372036854775807L, &quot;skew_int64.mtx&quot; } ,</a>
+<a name="128"><span class="lineNum">     128 </span>            :     {                     0,                     0, &quot;&quot; }</a>
+<a name="129"><span class="lineNum">     129 </span>            : } ;</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span>            : typedef struct</a>
+<a name="132"><span class="lineNum">     132 </span>            : {</a>
+<a name="133"><span class="lineNum">     133 </span>            :     uint64_t emin ;</a>
+<a name="134"><span class="lineNum">     134 </span>            :     uint64_t emax ;</a>
+<a name="135"><span class="lineNum">     135 </span>            :     const char *name ;</a>
+<a name="136"><span class="lineNum">     136 </span>            : }</a>
+<a name="137"><span class="lineNum">     137 </span>            : matrix_info_uint64 ;</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            : const matrix_info_uint64 files_uint64 [ ] =</a>
+<a name="140"><span class="lineNum">     140 </span>            : {</a>
+<a name="141"><span class="lineNum">     141 </span>            :     {                    0, 18446744073709551615UL, &quot;matrix_uint64.mtx&quot; } ,</a>
+<a name="142"><span class="lineNum">     142 </span>            :     {                    0,                      0, &quot;&quot; }</a>
+<a name="143"><span class="lineNum">     143 </span>            : } ;</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span>            : //------------------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            : // setup: start a test</a>
+<a name="147"><span class="lineNum">     147 </span>            : //------------------------------------------------------------------------------</a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          4 : void setup (void)</span></a>
+<a name="150"><span class="lineNum">     150 </span>            : {</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          4 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          4 : }</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            : //------------------------------------------------------------------------------</a>
+<a name="155"><span class="lineNum">     155 </span>            : // teardown: finalize a test</a>
+<a name="156"><span class="lineNum">     156 </span>            : //------------------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">          4 : void teardown (void)</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : {</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          4 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">          4 : }</span></a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span>            : //------------------------------------------------------------------------------</a>
+<a name="164"><span class="lineNum">     164 </span>            : // test_minmax: read a set of matrices and compute min/max</a>
+<a name="165"><span class="lineNum">     165 </span>            : //------------------------------------------------------------------------------</a>
+<a name="166"><span class="lineNum">     166 </span>            : </a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">          1 : void test_minmax (void)</span></a>
+<a name="168"><span class="lineNum">     168 </span>            : {</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="171"><span class="lineNum">     171 </span>            :     // start up the test</a>
+<a name="172"><span class="lineNum">     172 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">         61 :     {</span></a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span>            :         //----------------------------------------------------------------------</a>
+<a name="180"><span class="lineNum">     180 </span>            :         // load in the kth file and create the graph G</a>
+<a name="181"><span class="lineNum">     181 </span>            :         //----------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            : </a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">         62 :         const char *aname = files [k].name ;</span></a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">         62 :         if (strlen (aname) == 0) break;</span></a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         61 :         TEST_CASE (aname) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         61 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">         61 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         61 :         FILE *f = fopen (filename, &quot;rb&quot;) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">         61 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">         61 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">         61 :         OK (fclose (f)) ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">         61 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="193"><span class="lineNum">     193 </span>            :         GrB_Index nvals ;</a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">         61 :         OK (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">         61 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :         //----------------------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            :         // compute emin and emax</a>
+<a name="199"><span class="lineNum">     199 </span>            :         //----------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">         61 :         OK (LAGraph_Cached_EMin (G, msg)) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">         61 :         TEST_CHECK (G-&gt;emin_state == LAGraph_VALUE) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">         61 :         OK (LAGraph_Cached_EMax (G, msg)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">         61 :         TEST_CHECK (G-&gt;emax_state == LAGraph_VALUE) ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :         //----------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :         // check the result</a>
+<a name="208"><span class="lineNum">     208 </span>            :         //----------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">         61 :         double emin1 = files [k].emin ;</span></a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">         61 :         double emax1 = files [k].emax ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">         61 :         double emin2 = 0 ;</span></a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">         61 :         double emax2 = 0 ;</span></a>
+<a name="214"><span class="lineNum">     214 </span>            : </a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">         61 :         printf (&quot;min/max as GrB_Scalars:\n&quot;) ;</span></a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         61 :         GxB_print (G-&gt;emin, 3) ;</span></a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">         61 :         GxB_print (G-&gt;emax, 3) ;</span></a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span>            :         int result ;</a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">         61 :         result = GrB_Scalar_extractElement_FP64 (&amp;emin2, G-&gt;emin) ;</span></a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">         61 :         printf (&quot;min: %g %g err %g\n&quot;, emin1, emin2, emin1 - emin2) ;</span></a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">         61 :         if (nvals == 0)</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :         {</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">          1 :             TEST_CHECK (result == GrB_NO_VALUE) ;</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :         }</a>
+<a name="226"><span class="lineNum">     226 </span>            :         else</a>
+<a name="227"><span class="lineNum">     227 </span>            :         {</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">         60 :             TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :         }</a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span>            :         #if 0</a>
+<a name="232"><span class="lineNum">     232 </span>            :         if (emin1 != emin2)</a>
+<a name="233"><span class="lineNum">     233 </span>            :         {</a>
+<a name="234"><span class="lineNum">     234 </span>            :             // failure on MSVC, OpenMP</a>
+<a name="235"><span class="lineNum">     235 </span>            :             // https://github.com/DrTimothyAldenDavis/SuiteSparse/actions/runs/6763376325/job/18380420493?pr=503</a>
+<a name="236"><span class="lineNum">     236 </span>            :             // now fixed.</a>
+<a name="237"><span class="lineNum">     237 </span>            :             printf (&quot;Test failure, k: %d name: %s\n&quot;, k, aname) ;</a>
+<a name="238"><span class="lineNum">     238 </span>            :             printf (&quot;emin1: %30.20g\n&quot;, emin1) ;</a>
+<a name="239"><span class="lineNum">     239 </span>            :             printf (&quot;emin2: %30.20g\n&quot;, emin2) ;</a>
+<a name="240"><span class="lineNum">     240 </span>            :             OK (LAGraph_Matrix_Print (G-&gt;A, 5, stdout, msg)) ;</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :             // extract as int64:</a>
+<a name="243"><span class="lineNum">     243 </span>            :             int64_t emin2_int64 = 0 ;</a>
+<a name="244"><span class="lineNum">     244 </span>            :             int64_t emax2_int64 = 0 ;</a>
+<a name="245"><span class="lineNum">     245 </span>            :             GrB_Scalar_extractElement_INT64 (&amp;emin2_int64, G-&gt;emin) ;</a>
+<a name="246"><span class="lineNum">     246 </span>            :             GrB_Scalar_extractElement_INT64 (&amp;emax2_int64, G-&gt;emax) ;</a>
+<a name="247"><span class="lineNum">     247 </span>            :             printf (&quot;emin2 int64: %&quot; PRId64 &quot;\n&quot;, emin2_int64) ;</a>
+<a name="248"><span class="lineNum">     248 </span>            :             printf (&quot;emax2 int64: %&quot; PRId64 &quot;\n&quot;, emax2_int64) ;</a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span>            :         }</a>
+<a name="251"><span class="lineNum">     251 </span>            :         #endif</a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">         61 :         TEST_CHECK (emin1 == emin2) ;</span></a>
+<a name="254"><span class="lineNum">     254 </span>            : </a>
+<a name="255"><span class="lineNum">     255 </span><span class="lineCov">         61 :         result = GrB_Scalar_extractElement_FP64 (&amp;emax2, G-&gt;emax) ;</span></a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">         61 :         printf (&quot;max: %g %g err %g\n&quot;, emax1, emax2, emax1 - emax2) ;</span></a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">         61 :         if (nvals == 0)</span></a>
+<a name="258"><span class="lineNum">     258 </span>            :         {</a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">          1 :             printf (&quot;no entries\n&quot;) ;</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">          1 :             TEST_CHECK (result == GrB_NO_VALUE) ;</span></a>
+<a name="261"><span class="lineNum">     261 </span>            :         }</a>
+<a name="262"><span class="lineNum">     262 </span>            :         else</a>
+<a name="263"><span class="lineNum">     263 </span>            :         {</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">         60 :             TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="265"><span class="lineNum">     265 </span>            :         }</a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">         61 :         TEST_CHECK (emax1 == emax2) ;</span></a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">         61 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :     }</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="272"><span class="lineNum">     272 </span>            :     // finish the test</a>
+<a name="273"><span class="lineNum">     273 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="274"><span class="lineNum">     274 </span>            : </a>
+<a name="275"><span class="lineNum">     275 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">          1 : }</span></a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            : //------------------------------------------------------------------------------</a>
+<a name="279"><span class="lineNum">     279 </span>            : // test_minmax_int64: read a set of matrices and compute min/max</a>
+<a name="280"><span class="lineNum">     280 </span>            : //------------------------------------------------------------------------------</a>
+<a name="281"><span class="lineNum">     281 </span>            : </a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">          1 : void test_minmax_int64 (void)</span></a>
+<a name="283"><span class="lineNum">     283 </span>            : {</a>
+<a name="284"><span class="lineNum">     284 </span>            : </a>
+<a name="285"><span class="lineNum">     285 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="286"><span class="lineNum">     286 </span>            :     // start up the test</a>
+<a name="287"><span class="lineNum">     287 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="290"><span class="lineNum">     290 </span>            : </a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          2 :     {</span></a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span>            :         //----------------------------------------------------------------------</a>
+<a name="295"><span class="lineNum">     295 </span>            :         // load in the kth file and create the graph G</a>
+<a name="296"><span class="lineNum">     296 </span>            :         //----------------------------------------------------------------------</a>
+<a name="297"><span class="lineNum">     297 </span>            : </a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          3 :         const char *aname = files_int64 [k].name ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">          3 :         if (strlen (aname) == 0) break;</span></a>
+<a name="300"><span class="lineNum">     300 </span><span class="lineCov">          2 :         TEST_CASE (aname) ;</span></a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">          2 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">          2 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">          2 :         FILE *f = fopen (filename, &quot;rb&quot;) ;</span></a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">          2 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          2 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">          2 :         OK (fclose (f)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">          2 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span>            :         GrB_Index nvals ;</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">          2 :         OK (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">          2 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : </a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">          6 :         for (int trial = 1 ; trial &lt;= 2 ; trial++)</span></a>
+<a name="313"><span class="lineNum">     313 </span>            :         {</a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            :             //------------------------------------------------------------------</a>
+<a name="316"><span class="lineNum">     316 </span>            :             // compute emin and emax</a>
+<a name="317"><span class="lineNum">     317 </span>            :             //------------------------------------------------------------------</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">          4 :             OK (LAGraph_Cached_EMin (G, msg)) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">          4 :             TEST_CHECK (G-&gt;emin_state == LAGraph_VALUE) ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">          4 :             OK (LAGraph_Cached_EMax (G, msg)) ;</span></a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">          4 :             TEST_CHECK (G-&gt;emax_state == LAGraph_VALUE) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span>            : </a>
+<a name="324"><span class="lineNum">     324 </span>            :             //------------------------------------------------------------------</a>
+<a name="325"><span class="lineNum">     325 </span>            :             // check the result</a>
+<a name="326"><span class="lineNum">     326 </span>            :             //------------------------------------------------------------------</a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">          4 :             int64_t emin1 = files_int64 [k].emin ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">          4 :             int64_t emax1 = files_int64 [k].emax ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">          4 :             int64_t emin2 = 0 ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">          4 :             int64_t emax2 = 0 ;</span></a>
+<a name="332"><span class="lineNum">     332 </span>            : </a>
+<a name="333"><span class="lineNum">     333 </span>            :             int result ;</a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">          4 :             result = GrB_Scalar_extractElement_INT64 (&amp;emin2, G-&gt;emin) ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">          4 :             printf (&quot;min (int64): %&quot; PRId64&quot; %&quot; PRId64 &quot;\n&quot;, emin1, emin2) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">          4 :             TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">          4 :             TEST_CHECK (emin1 == emin2) ;</span></a>
+<a name="338"><span class="lineNum">     338 </span>            : </a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">          4 :             result = GrB_Scalar_extractElement_INT64 (&amp;emax2, G-&gt;emax) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">          4 :             printf (&quot;max (int64): %&quot; PRId64&quot; %&quot; PRId64 &quot;\n&quot;, emax1, emax2) ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">          4 :             TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">          4 :             TEST_CHECK (emax1 == emax2) ;</span></a>
+<a name="343"><span class="lineNum">     343 </span>            :         }</a>
+<a name="344"><span class="lineNum">     344 </span>            : </a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          2 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span>            :     }</a>
+<a name="347"><span class="lineNum">     347 </span>            : </a>
+<a name="348"><span class="lineNum">     348 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="349"><span class="lineNum">     349 </span>            :     // finish the test</a>
+<a name="350"><span class="lineNum">     350 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="351"><span class="lineNum">     351 </span>            : </a>
+<a name="352"><span class="lineNum">     352 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="353"><span class="lineNum">     353 </span><span class="lineCov">          1 : }</span></a>
+<a name="354"><span class="lineNum">     354 </span>            : </a>
+<a name="355"><span class="lineNum">     355 </span>            : //------------------------------------------------------------------------------</a>
+<a name="356"><span class="lineNum">     356 </span>            : // test_minmax_uint64: read a set of matrices and compute min/max</a>
+<a name="357"><span class="lineNum">     357 </span>            : //------------------------------------------------------------------------------</a>
+<a name="358"><span class="lineNum">     358 </span>            : </a>
+<a name="359"><span class="lineNum">     359 </span><span class="lineCov">          1 : void test_minmax_uint64 (void)</span></a>
+<a name="360"><span class="lineNum">     360 </span>            : {</a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="363"><span class="lineNum">     363 </span>            :     // start up the test</a>
+<a name="364"><span class="lineNum">     364 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span>            : </a>
+<a name="368"><span class="lineNum">     368 </span><span class="lineCov">          1 :     for (int k = 0 ; ; k++)</span></a>
+<a name="369"><span class="lineNum">     369 </span><span class="lineCov">          1 :     {</span></a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span>            :         //----------------------------------------------------------------------</a>
+<a name="372"><span class="lineNum">     372 </span>            :         // load in the kth file and create the graph G</a>
+<a name="373"><span class="lineNum">     373 </span>            :         //----------------------------------------------------------------------</a>
+<a name="374"><span class="lineNum">     374 </span>            : </a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          2 :         const char *aname = files_uint64 [k].name ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          2 :         if (strlen (aname) == 0) break;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          1 :         TEST_CASE (aname) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">          1 :         printf (&quot;\n============= %2d: %s\n&quot;, k, aname) ;</span></a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          1 :         snprintf (filename, LEN, LG_DATA_DIR &quot;%s&quot;, aname) ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          1 :         FILE *f = fopen (filename, &quot;rb&quot;) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">          1 :         TEST_CHECK (f != NULL) ;</span></a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">          1 :         OK (LAGraph_MMRead (&amp;A, f, msg)) ;</span></a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">          1 :         OK (fclose (f)) ;</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">          1 :         TEST_MSG (&quot;Failed to load %s\n&quot;, aname) ;</span></a>
+<a name="385"><span class="lineNum">     385 </span>            :         GrB_Index nvals ;</a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          1 :         OK (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          1 :         OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="388"><span class="lineNum">     388 </span>            : </a>
+<a name="389"><span class="lineNum">     389 </span>            :         //----------------------------------------------------------------------</a>
+<a name="390"><span class="lineNum">     390 </span>            :         // compute emin and emax</a>
+<a name="391"><span class="lineNum">     391 </span>            :         //----------------------------------------------------------------------</a>
+<a name="392"><span class="lineNum">     392 </span>            : </a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">          1 :         OK (LAGraph_Cached_EMin (G, msg)) ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          1 :         TEST_CHECK (G-&gt;emin_state == LAGraph_VALUE) ;</span></a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          1 :         OK (LAGraph_Cached_EMax (G, msg)) ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          1 :         TEST_CHECK (G-&gt;emax_state == LAGraph_VALUE) ;</span></a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span>            :         //----------------------------------------------------------------------</a>
+<a name="399"><span class="lineNum">     399 </span>            :         // check the result</a>
+<a name="400"><span class="lineNum">     400 </span>            :         //----------------------------------------------------------------------</a>
+<a name="401"><span class="lineNum">     401 </span>            : </a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          1 :         uint64_t emin1 = files_uint64 [k].emin ;</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">          1 :         uint64_t emax1 = files_uint64 [k].emax ;</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          1 :         uint64_t emin2 = 0 ;</span></a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          1 :         uint64_t emax2 = 0 ;</span></a>
+<a name="406"><span class="lineNum">     406 </span>            : </a>
+<a name="407"><span class="lineNum">     407 </span>            :         int result ;</a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">          1 :         result = GrB_Scalar_extractElement_UINT64 (&amp;emin2, G-&gt;emin) ;</span></a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">          1 :         printf (&quot;min (uint64): %&quot; PRIu64&quot; %&quot; PRIu64 &quot;\n&quot;, emin1, emin2) ;</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">          1 :         TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          1 :         TEST_CHECK (emin1 == emin2) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span>            : </a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">          1 :         result = GrB_Scalar_extractElement_UINT64 (&amp;emax2, G-&gt;emax) ;</span></a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          1 :         printf (&quot;max (uint64): %&quot; PRIu64&quot; %&quot; PRIu64 &quot;\n&quot;, emax1, emax2) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">          1 :         TEST_CHECK (result == GrB_SUCCESS) ;</span></a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">          1 :         TEST_CHECK (emax1 == emax2) ;</span></a>
+<a name="417"><span class="lineNum">     417 </span>            : </a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          1 :         OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span>            :     }</a>
+<a name="420"><span class="lineNum">     420 </span>            : </a>
+<a name="421"><span class="lineNum">     421 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="422"><span class="lineNum">     422 </span>            :     // finish the test</a>
+<a name="423"><span class="lineNum">     423 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="424"><span class="lineNum">     424 </span>            : </a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">          1 : }</span></a>
+<a name="427"><span class="lineNum">     427 </span>            : </a>
+<a name="428"><span class="lineNum">     428 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="429"><span class="lineNum">     429 </span>            : // test_minmax_failures</a>
+<a name="430"><span class="lineNum">     430 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="431"><span class="lineNum">     431 </span>            : </a>
+<a name="432"><span class="lineNum">     432 </span>            : typedef int myint ;</a>
+<a name="433"><span class="lineNum">     433 </span>            : </a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          1 : void test_minmax_failures (void)</span></a>
+<a name="435"><span class="lineNum">     435 </span>            : {</a>
+<a name="436"><span class="lineNum">     436 </span><span class="lineCov">          1 :     setup ( ) ;</span></a>
+<a name="437"><span class="lineNum">     437 </span>            :     GrB_Type MyInt ;</a>
+<a name="438"><span class="lineNum">     438 </span><span class="lineCov">          1 :     OK (GrB_Type_new (&amp;MyInt, sizeof (myint))) ;</span></a>
+<a name="439"><span class="lineNum">     439 </span><span class="lineCov">          1 :     OK (GrB_Matrix_new (&amp;A, MyInt, 4, 4)) ;</span></a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">          1 :     OK (LAGraph_New (&amp;G, &amp;A, LAGraph_ADJACENCY_DIRECTED, msg)) ;</span></a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">          1 :     int result = LAGraph_Cached_EMax (G, msg) ;</span></a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          1 :     printf (&quot;\nresult: %d msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">          1 :     result = LAGraph_Cached_EMin (G, msg) ;</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">          1 :     printf (&quot;result: %d msg: %s\n&quot;, result, msg) ;</span></a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">          1 :     TEST_CHECK (result == GrB_NOT_IMPLEMENTED) ;</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;MyInt)) ;</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">          1 :     OK (LAGraph_Delete (&amp;G, msg)) ;</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">          1 :     teardown ( ) ;</span></a>
+<a name="450"><span class="lineNum">     450 </span><span class="lineCov">          1 : }</span></a>
+<a name="451"><span class="lineNum">     451 </span>            : </a>
+<a name="452"><span class="lineNum">     452 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="453"><span class="lineNum">     453 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="454"><span class="lineNum">     454 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="455"><span class="lineNum">     455 </span>            : </a>
+<a name="456"><span class="lineNum">     456 </span>            : TEST_LIST =</a>
+<a name="457"><span class="lineNum">     457 </span>            : {</a>
+<a name="458"><span class="lineNum">     458 </span>            :     { &quot;test_minmax&quot;, test_minmax },</a>
+<a name="459"><span class="lineNum">     459 </span>            :     { &quot;test_minmax_int64&quot;, test_minmax_int64 },</a>
+<a name="460"><span class="lineNum">     460 </span>            :     { &quot;test_minmax_uint64&quot;, test_minmax_uint64 },</a>
+<a name="461"><span class="lineNum">     461 </span>            :     { &quot;test_minmax_failures&quot;, test_minmax_failures },</a>
+<a name="462"><span class="lineNum">     462 </span>            :     { NULL, NULL }</a>
+<a name="463"><span class="lineNum">     463 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_vector.c.func-sort-c.html b/src/test/test_vector.c.func-sort-c.html
new file mode 100644
index 0000000000..05b7ecfa82
--- /dev/null
+++ b/src/test/test_vector.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_vector.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_vector.c<span style="font-size: 80%;"> (<a href="test_vector.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="test_vector.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_vector.c.gcov.html#32">test_vector</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_vector.c.gcov.html#56">test_vector_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_vector.c.func.html b/src/test/test_vector.c.func.html
new file mode 100644
index 0000000000..8e865581b2
--- /dev/null
+++ b/src/test/test_vector.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_vector.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_vector.c<span style="font-size: 80%;"> (<a href="test_vector.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="test_vector.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="test_vector.c.gcov.html#32">test_vector</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="test_vector.c.gcov.html#56">test_vector_brutal</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/test/test_vector.c.gcov.html b/src/test/test_vector.c.gcov.html
new file mode 100644
index 0000000000..f1f720646e
--- /dev/null
+++ b/src/test/test_vector.c.gcov.html
@@ -0,0 +1,187 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/test/test_vector.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/test</a> - test_vector.c<span style="font-size: 80%;"> (source / <a href="test_vector.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph/src/test/test_vector.c:  test LG_check_vector</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LAGraph_test.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : //------------------------------------------------------------------------------</a>
+<a name="21"><span class="lineNum">      21 </span>            : // global variables</a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : GrB_Vector X = NULL ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : int64_t *x = NULL ;</a>
+<a name="26"><span class="lineNum">      26 </span>            : GrB_Index n = 10000 ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : int64_t missing = 42 ;</a>
+<a name="28"><span class="lineNum">      28 </span>            : char msg [LAGRAPH_MSG_LEN] ;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            : //------------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : // test_vector</a>
+<a name="32"><span class="lineNum">      32 </span>            : //------------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : void test_vector (void)</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          1 :     OK (LAGraph_Init (msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">          1 :     OK (GrB_Vector_new (&amp;X, GrB_INT64, n)) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">         11 :     for (int i = 0 ; i &lt; 10 ; i++)</span></a>
+<a name="39"><span class="lineNum">      39 </span>            :     {</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">         10 :         OK (GrB_Vector_setElement (X, i, i)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :     }</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;x, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     OK (LG_check_vector (x, X, n, missing)) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">      10001 :     for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="45"><span class="lineNum">      45 </span>            :     {</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">      10000 :         TEST_CHECK (x [i] == ((i &lt; 10) ? i : missing)) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :     }</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;X)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;x, NULL)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     OK (LAGraph_Finalize (msg)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 : }</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //------------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : // test_vector_brutal</a>
+<a name="55"><span class="lineNum">      55 </span>            : //------------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : #if LAGRAPH_SUITESPARSE</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 : void test_vector_brutal (void)</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :     OK (LG_brutal_setup (msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :     printf (&quot;\n&quot;) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">          1 :     OK (LAGraph_Malloc ((void **) &amp;x, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">          1 :     for (int nbrutal = 0 ; ; nbrutal++)</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         21 :     {</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :         /* allow for only nbrutal mallocs before 'failing' */</a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">         22 :         LG_brutal = nbrutal ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :         /* try the method with brutal malloc */</a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         22 :         GrB_free (&amp;X) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         22 :         int brutal_result = GrB_Vector_new (&amp;X, GrB_INT64, n) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">         22 :         if (brutal_result != GrB_SUCCESS) continue ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        127 :         for (int i = 0 ; i &lt; 10 ; i++)</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :         {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        117 :             brutal_result = GrB_Vector_setElement (X, i, i) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        117 :             if (brutal_result != GrB_SUCCESS) break ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :         }</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         20 :         if (brutal_result != GrB_SUCCESS) continue ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         10 :         brutal_result = LG_check_vector (x, X, n, missing) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">         10 :         if (brutal_result &gt;= 0)</span></a>
+<a name="81"><span class="lineNum">      81 </span>            :         {</a>
+<a name="82"><span class="lineNum">      82 </span>            :             /* the method finally succeeded */</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">          1 :             printf (&quot;Finally: %d\n&quot;, nbrutal) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">          1 :             break ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :         }</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          9 :         if (nbrutal &gt; 10000) { printf (&quot;Infinite!\n&quot;) ; abort ( ) ; }</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :     }</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 :     LG_brutal = -1 ;  /* turn off brutal mallocs */</span></a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">      10001 :     for (int i = 0 ; i &lt; n ; i++)</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     {</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">      10000 :         TEST_CHECK (x [i] == ((i &lt; 10) ? i : missing)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     }</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">          1 :     OK (GrB_free (&amp;X)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">          1 :     OK (LAGraph_Free ((void **) &amp;x, NULL)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">          1 :     OK (LG_brutal_teardown (msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">          1 : }</span></a>
+<a name="98"><span class="lineNum">      98 </span>            : #endif</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="101"><span class="lineNum">     101 </span>            : // TEST_LIST: the list of tasks for this entire test</a>
+<a name="102"><span class="lineNum">     102 </span>            : //-----------------------------------------------------------------------------</a>
+<a name="103"><span class="lineNum">     103 </span>            : </a>
+<a name="104"><span class="lineNum">     104 </span>            : TEST_LIST =</a>
+<a name="105"><span class="lineNum">     105 </span>            : {</a>
+<a name="106"><span class="lineNum">     106 </span>            :     { &quot;vector&quot;, test_vector },</a>
+<a name="107"><span class="lineNum">     107 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="108"><span class="lineNum">     108 </span>            :     { &quot;vector_brutal&quot;, test_vector_brutal },</a>
+<a name="109"><span class="lineNum">     109 </span>            :     #endif</a>
+<a name="110"><span class="lineNum">     110 </span>            :     { NULL, NULL }</a>
+<a name="111"><span class="lineNum">     111 </span>            : } ;</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_Init.c.func-sort-c.html b/src/utility/LAGr_Init.c.func-sort-c.html
new file mode 100644
index 0000000000..3158c7bf86
--- /dev/null
+++ b/src/utility/LAGr_Init.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_Init.c<span style="font-size: 80%;"> (<a href="LAGr_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_Init.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#40">LG_set_LAGr_Init_has_been_called</a></td>
+              <td class="coverFnHi">184</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#116">LAGr_Init</a></td>
+              <td class="coverFnHi">187</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#46">LG_get_LAGr_Init_has_been_called</a></td>
+              <td class="coverFnHi">242</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_Init.c.func.html b/src/utility/LAGr_Init.c.func.html
new file mode 100644
index 0000000000..a048fec48d
--- /dev/null
+++ b/src/utility/LAGr_Init.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_Init.c<span style="font-size: 80%;"> (<a href="LAGr_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
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+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_Init.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#116">LAGr_Init</a></td>
+              <td class="coverFnHi">187</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#46">LG_get_LAGr_Init_has_been_called</a></td>
+              <td class="coverFnHi">242</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_Init.c.gcov.html#40">LG_set_LAGr_Init_has_been_called</a></td>
+              <td class="coverFnHi">184</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+</html>
diff --git a/src/utility/LAGr_Init.c.gcov.html b/src/utility/LAGr_Init.c.gcov.html
new file mode 100644
index 0000000000..b4d392fde1
--- /dev/null
+++ b/src/utility/LAGr_Init.c.gcov.html
@@ -0,0 +1,407 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_Init.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_Init.c<span style="font-size: 80%;"> (source / <a href="LAGr_Init.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntry">62</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_Init: start GraphBLAS and LAGraph, and set malloc/etc functions</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2023 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_ALL ;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : //------------------------------------------------------------------------------</a>
+<a name="23"><span class="lineNum">      23 </span>            : // LG_LAGr_Init_has_been_called: a static value only accessible within this file</a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : // LG_LAGr_Init_has_been_called indicates if LAGr_Init has been called.</a>
+<a name="27"><span class="lineNum">      27 </span>            : // LAGr_Init (or LAGraph_Init) can be called only once, even after</a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGraph_Finalize has been called.  For testing purposes, the flag can be</a>
+<a name="29"><span class="lineNum">      29 </span>            : // cleared by src/test/test_Xinit, to allow LAGr_Init or LAGraph_Init to be</a>
+<a name="30"><span class="lineNum">      30 </span>            : // called again.</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : static bool LG_LAGr_Init_has_been_called = false ;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : // LG_LAGr_Init_has_been_called is only modified or accessed by the following</a>
+<a name="35"><span class="lineNum">      35 </span>            : // two routines (even in this file).  The two functions are made accessible via</a>
+<a name="36"><span class="lineNum">      36 </span>            : // LAGRAPH_PUBLIC, only for testing purposes by src/test/test_Xinit.c.</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : LAGRAPH_PUBLIC void LG_set_LAGr_Init_has_been_called (bool setting) ;</a>
+<a name="39"><span class="lineNum">      39 </span>            : LAGRAPH_PUBLIC bool LG_get_LAGr_Init_has_been_called (void) ;</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : LAGRAPH_PUBLIC</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        184 : void LG_set_LAGr_Init_has_been_called (bool setting)</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : {</a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        184 :     LG_LAGr_Init_has_been_called = setting ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        184 : }</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : LAGRAPH_PUBLIC</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        242 : bool LG_get_LAGr_Init_has_been_called (void)</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : {</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        242 :     return (LG_LAGr_Init_has_been_called) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : }</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //------------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : // LAGraph global objects</a>
+<a name="55"><span class="lineNum">      55 </span>            : //------------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : // LAGraph_plus_first_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="58"><span class="lineNum">      58 </span>            : // corresponding GrB_FIRST_T multiplicative operator.</a>
+<a name="59"><span class="lineNum">      59 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_int8   = NULL ;</a>
+<a name="60"><span class="lineNum">      60 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_int16  = NULL ;</a>
+<a name="61"><span class="lineNum">      61 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_int32  = NULL ;</a>
+<a name="62"><span class="lineNum">      62 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_int64  = NULL ;</a>
+<a name="63"><span class="lineNum">      63 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_uint8  = NULL ;</a>
+<a name="64"><span class="lineNum">      64 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_uint16 = NULL ;</a>
+<a name="65"><span class="lineNum">      65 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_uint32 = NULL ;</a>
+<a name="66"><span class="lineNum">      66 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_uint64 = NULL ;</a>
+<a name="67"><span class="lineNum">      67 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_fp32   = NULL ;</a>
+<a name="68"><span class="lineNum">      68 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_first_fp64   = NULL ;</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            : // LAGraph_plus_second_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="71"><span class="lineNum">      71 </span>            : // corresponding GrB_SECOND_T multiplicative operator.</a>
+<a name="72"><span class="lineNum">      72 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_int8   = NULL ;</a>
+<a name="73"><span class="lineNum">      73 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_int16  = NULL ;</a>
+<a name="74"><span class="lineNum">      74 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_int32  = NULL ;</a>
+<a name="75"><span class="lineNum">      75 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_int64  = NULL ;</a>
+<a name="76"><span class="lineNum">      76 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_uint8  = NULL ;</a>
+<a name="77"><span class="lineNum">      77 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_uint16 = NULL ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_uint32 = NULL ;</a>
+<a name="79"><span class="lineNum">      79 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_uint64 = NULL ;</a>
+<a name="80"><span class="lineNum">      80 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_fp32   = NULL ;</a>
+<a name="81"><span class="lineNum">      81 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_second_fp64   = NULL ;</a>
+<a name="82"><span class="lineNum">      82 </span>            : </a>
+<a name="83"><span class="lineNum">      83 </span>            : // LAGraph_plus_one_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="84"><span class="lineNum">      84 </span>            : // corresponding GrB_ONEB_T multiplicative operator.</a>
+<a name="85"><span class="lineNum">      85 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_int8   = NULL ;</a>
+<a name="86"><span class="lineNum">      86 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_int16  = NULL ;</a>
+<a name="87"><span class="lineNum">      87 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_int32  = NULL ;</a>
+<a name="88"><span class="lineNum">      88 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_int64  = NULL ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_uint8  = NULL ;</a>
+<a name="90"><span class="lineNum">      90 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_uint16 = NULL ;</a>
+<a name="91"><span class="lineNum">      91 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_uint32 = NULL ;</a>
+<a name="92"><span class="lineNum">      92 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_uint64 = NULL ;</a>
+<a name="93"><span class="lineNum">      93 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_fp32   = NULL ;</a>
+<a name="94"><span class="lineNum">      94 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_plus_one_fp64   = NULL ;</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            : // use LAGraph_any_one_bool, etc</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            : // LAGraph_any_one_T: using the GrB_MIN_MONOID_T for non-boolean types</a>
+<a name="100"><span class="lineNum">     100 </span>            : // or GrB_LOR_MONOID_BOOL for boolean, and the GrB_ONEB_T multiplicative op.</a>
+<a name="101"><span class="lineNum">     101 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_bool   = NULL ;</a>
+<a name="102"><span class="lineNum">     102 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_int8   = NULL ;</a>
+<a name="103"><span class="lineNum">     103 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_int16  = NULL ;</a>
+<a name="104"><span class="lineNum">     104 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_int32  = NULL ;</a>
+<a name="105"><span class="lineNum">     105 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_int64  = NULL ;</a>
+<a name="106"><span class="lineNum">     106 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_uint8  = NULL ;</a>
+<a name="107"><span class="lineNum">     107 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_uint16 = NULL ;</a>
+<a name="108"><span class="lineNum">     108 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_uint32 = NULL ;</a>
+<a name="109"><span class="lineNum">     109 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_uint64 = NULL ;</a>
+<a name="110"><span class="lineNum">     110 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_fp32   = NULL ;</a>
+<a name="111"><span class="lineNum">     111 </span>            : LAGRAPH_PUBLIC GrB_Semiring LAGraph_any_one_fp64   = NULL ;</a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span>            : //------------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : // LAGr_Init</a>
+<a name="115"><span class="lineNum">     115 </span>            : //------------------------------------------------------------------------------</a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            : LAGRAPH_PUBLIC</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">        187 : int LAGr_Init</span></a>
+<a name="119"><span class="lineNum">     119 </span>            : (</a>
+<a name="120"><span class="lineNum">     120 </span>            :     // input:</a>
+<a name="121"><span class="lineNum">     121 </span>            :     GrB_Mode mode,      // mode for GrB_Init or GxB_Init</a>
+<a name="122"><span class="lineNum">     122 </span>            :     void * (* user_malloc_function  ) (size_t),</a>
+<a name="123"><span class="lineNum">     123 </span>            :     void * (* user_calloc_function  ) (size_t, size_t),</a>
+<a name="124"><span class="lineNum">     124 </span>            :     void * (* user_realloc_function ) (void *, size_t),</a>
+<a name="125"><span class="lineNum">     125 </span>            :     void   (* user_free_function    ) (void *),</a>
+<a name="126"><span class="lineNum">     126 </span>            :     char *msg</a>
+<a name="127"><span class="lineNum">     127 </span>            : )</a>
+<a name="128"><span class="lineNum">     128 </span>            : {</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            :     // check inputs</a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span>            :     // malloc and free are required; calloc and realloc are optional</a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">        187 :     LG_CLEAR_MSG ;</span></a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">        187 :     LG_ASSERT (user_malloc_function != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">        185 :     LG_ASSERT (user_free_function   != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :     GrB_Info info ;</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            :     // ensure LAGr_Init has not already been called</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">        184 :     LG_ASSERT_MSG (!LG_get_LAGr_Init_has_been_called ( ), GrB_INVALID_VALUE,</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :         &quot;LAGr*_Init can only be called once&quot;) ;</a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="145"><span class="lineNum">     145 </span>            :     // start GraphBLAS</a>
+<a name="146"><span class="lineNum">     146 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        182 :         info = GxB_init (mode,</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :             user_malloc_function,</a>
+<a name="152"><span class="lineNum">     152 </span>            :             user_calloc_function,</a>
+<a name="153"><span class="lineNum">     153 </span>            :             user_realloc_function,</a>
+<a name="154"><span class="lineNum">     154 </span>            :             user_free_function) ;</a>
+<a name="155"><span class="lineNum">     155 </span>            : </a>
+<a name="156"><span class="lineNum">     156 </span>            :     #else</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span>            :         // GxB_init is not available.  Use GrB_init instead.</a>
+<a name="159"><span class="lineNum">     159 </span>            :         info = GrB_init (mode) ;</a>
+<a name="160"><span class="lineNum">     160 </span>            : </a>
+<a name="161"><span class="lineNum">     161 </span>            :     #endif</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        182 :     LG_ASSERT_MSG (info == GrB_SUCCESS || info == GrB_INVALID_VALUE, info,</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :         &quot;failed to initialize GraphBLAS&quot;) ;</a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            :     #undef  LG_FREE_ALL</a>
+<a name="167"><span class="lineNum">     167 </span>            :     #define LG_FREE_ALL             \</a>
+<a name="168"><span class="lineNum">     168 </span>            :     {                               \</a>
+<a name="169"><span class="lineNum">     169 </span>            :         LAGraph_Finalize (msg) ;    \</a>
+<a name="170"><span class="lineNum">     170 </span>            :     }</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="173"><span class="lineNum">     173 </span>            :     // save the memory management pointers in global LAGraph space</a>
+<a name="174"><span class="lineNum">     174 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="175"><span class="lineNum">     175 </span>            : </a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">        172 :     LAGraph_Malloc_function  = user_malloc_function ;</span></a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">        172 :     LAGraph_Calloc_function  = user_calloc_function ;</span></a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">        172 :     LAGraph_Realloc_function = user_realloc_function ;</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        172 :     LAGraph_Free_function    = user_free_function ;</span></a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            :     // set # of LAGraph threads</a>
+<a name="183"><span class="lineNum">     183 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">        172 :     LG_nthreads_outer = 1 ;             // for LAGraph itself, if nested</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :                                         // regions call GraphBLAS</a>
+<a name="187"><span class="lineNum">     187 </span>            :     #ifdef _OPENMP</a>
+<a name="188"><span class="lineNum">     188 </span>            :     LG_nthreads_inner = omp_get_max_threads ( ) ; // for lower-level parallelism</a>
+<a name="189"><span class="lineNum">     189 </span>            :     #else</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">        172 :     LG_nthreads_inner = 1 ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :     #endif</a>
+<a name="192"><span class="lineNum">     192 </span>            : </a>
+<a name="193"><span class="lineNum">     193 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="194"><span class="lineNum">     194 </span>            :     {</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        172 :         GRB_TRY (GxB_set (GxB_NTHREADS, LG_nthreads_inner)) ;</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :     }</a>
+<a name="197"><span class="lineNum">     197 </span>            :     #endif</a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            :     // create global objects</a>
+<a name="201"><span class="lineNum">     201 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            :     // LAGraph_plus_first_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="204"><span class="lineNum">     204 </span>            :     // GrB_FIRST_T multiplicative operator.  These semirings compute C=A*B</a>
+<a name="205"><span class="lineNum">     205 </span>            :     // where only the structure of B is accessed.  In MATLAB, this can be</a>
+<a name="206"><span class="lineNum">     206 </span>            :     // written as:</a>
+<a name="207"><span class="lineNum">     207 </span>            :     //</a>
+<a name="208"><span class="lineNum">     208 </span>            :     //      C = A * spones (B)</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">        172 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_int8,</span></a>
+<a name="211"><span class="lineNum">     211 </span>            :         GrB_PLUS_MONOID_INT8  , GrB_FIRST_INT8  )) ;</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">        171 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_int16,</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :         GrB_PLUS_MONOID_INT16 , GrB_FIRST_INT16 )) ;</a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">        170 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_int32,</span></a>
+<a name="215"><span class="lineNum">     215 </span>            :         GrB_PLUS_MONOID_INT32 , GrB_FIRST_INT32 )) ;</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">        169 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_int64,</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :         GrB_PLUS_MONOID_INT64 , GrB_FIRST_INT64 )) ;</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">        168 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_uint8,</span></a>
+<a name="219"><span class="lineNum">     219 </span>            :         GrB_PLUS_MONOID_UINT8 , GrB_FIRST_UINT8 )) ;</a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">        167 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_uint16,</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :         GrB_PLUS_MONOID_UINT16, GrB_FIRST_UINT16)) ;</a>
+<a name="222"><span class="lineNum">     222 </span><span class="lineCov">        166 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_uint32,</span></a>
+<a name="223"><span class="lineNum">     223 </span>            :         GrB_PLUS_MONOID_UINT32, GrB_FIRST_UINT32)) ;</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">        165 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_uint64,</span></a>
+<a name="225"><span class="lineNum">     225 </span>            :         GrB_PLUS_MONOID_UINT64, GrB_FIRST_UINT64)) ;</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">        164 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_fp32,</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :         GrB_PLUS_MONOID_FP32  , GrB_FIRST_FP32  )) ;</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">        163 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_first_fp64,</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :         GrB_PLUS_MONOID_FP64  , GrB_FIRST_FP64  )) ;</a>
+<a name="230"><span class="lineNum">     230 </span>            : </a>
+<a name="231"><span class="lineNum">     231 </span>            :     // LAGraph_plus_second_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="232"><span class="lineNum">     232 </span>            :     // GrB_SECOND_T multiplicative operator.  These semirings compute C=A*B</a>
+<a name="233"><span class="lineNum">     233 </span>            :     // where only the structure of A is accessed.  In MATLAB, this can be</a>
+<a name="234"><span class="lineNum">     234 </span>            :     // written as:</a>
+<a name="235"><span class="lineNum">     235 </span>            :     //</a>
+<a name="236"><span class="lineNum">     236 </span>            :     //      C = spones (A) * B</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">        162 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_int8,</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :         GrB_PLUS_MONOID_INT8  , GrB_SECOND_INT8  )) ;</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">        161 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_int16,</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :         GrB_PLUS_MONOID_INT16 , GrB_SECOND_INT16 )) ;</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">        160 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_int32,</span></a>
+<a name="243"><span class="lineNum">     243 </span>            :         GrB_PLUS_MONOID_INT32 , GrB_SECOND_INT32 )) ;</a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">        159 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_int64,</span></a>
+<a name="245"><span class="lineNum">     245 </span>            :         GrB_PLUS_MONOID_INT64 , GrB_SECOND_INT64 )) ;</a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">        158 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_uint8,</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :         GrB_PLUS_MONOID_UINT8 , GrB_SECOND_UINT8 )) ;</a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        157 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_uint16,</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :         GrB_PLUS_MONOID_UINT16, GrB_SECOND_UINT16)) ;</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">        156 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_uint32,</span></a>
+<a name="251"><span class="lineNum">     251 </span>            :         GrB_PLUS_MONOID_UINT32, GrB_SECOND_UINT32)) ;</a>
+<a name="252"><span class="lineNum">     252 </span><span class="lineCov">        155 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_uint64,</span></a>
+<a name="253"><span class="lineNum">     253 </span>            :         GrB_PLUS_MONOID_UINT64, GrB_SECOND_UINT64)) ;</a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">        154 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_fp32,</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :         GrB_PLUS_MONOID_FP32  , GrB_SECOND_FP32  )) ;</a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">        153 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_second_fp64,</span></a>
+<a name="257"><span class="lineNum">     257 </span>            :         GrB_PLUS_MONOID_FP64  , GrB_SECOND_FP64  )) ;</a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span>            :     // LAGraph_plus_one_T: using the GrB_PLUS_MONOID_T monoid and the</a>
+<a name="260"><span class="lineNum">     260 </span>            :     // corresponding GrB_ONEB_T multiplicative operator.  These semirings</a>
+<a name="261"><span class="lineNum">     261 </span>            :     // compute a matrix C=A*B that does not depend on the type or values of</a>
+<a name="262"><span class="lineNum">     262 </span>            :     // the matrices A and B.  C(i,j) is the size of the intersection of the</a>
+<a name="263"><span class="lineNum">     263 </span>            :     // structures of A(i,:) and B(:,j).  In MATLAB, for the FP64 data type,</a>
+<a name="264"><span class="lineNum">     264 </span>            :     // this can be written as:</a>
+<a name="265"><span class="lineNum">     265 </span>            :     //</a>
+<a name="266"><span class="lineNum">     266 </span>            :     //      C = spones (A) * spones (B)</a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span><span class="lineCov">        152 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_int8,</span></a>
+<a name="269"><span class="lineNum">     269 </span>            :         GrB_PLUS_MONOID_INT8  , GrB_ONEB_INT8  )) ;</a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">        151 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_int16,</span></a>
+<a name="271"><span class="lineNum">     271 </span>            :         GrB_PLUS_MONOID_INT16 , GrB_ONEB_INT16 )) ;</a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        150 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_int32,</span></a>
+<a name="273"><span class="lineNum">     273 </span>            :         GrB_PLUS_MONOID_INT32 , GrB_ONEB_INT32 )) ;</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">        149 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_int64,</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :         GrB_PLUS_MONOID_INT64 , GrB_ONEB_INT64 )) ;</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">        148 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_uint8,</span></a>
+<a name="277"><span class="lineNum">     277 </span>            :         GrB_PLUS_MONOID_UINT8 , GrB_ONEB_UINT8 )) ;</a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">        147 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_uint16,</span></a>
+<a name="279"><span class="lineNum">     279 </span>            :         GrB_PLUS_MONOID_UINT16, GrB_ONEB_UINT16)) ;</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">        146 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_uint32,</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :         GrB_PLUS_MONOID_UINT32, GrB_ONEB_UINT32)) ;</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">        145 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_uint64,</span></a>
+<a name="283"><span class="lineNum">     283 </span>            :         GrB_PLUS_MONOID_UINT64, GrB_ONEB_UINT64)) ;</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">        144 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_fp32,</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :         GrB_PLUS_MONOID_FP32  , GrB_ONEB_FP32  )) ;</a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">        143 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_plus_one_fp64,</span></a>
+<a name="287"><span class="lineNum">     287 </span>            :         GrB_PLUS_MONOID_FP64  , GrB_ONEB_FP64  )) ;</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span>            :     // LAGraph_any_one_T: using the GrB_MIN_MONOID_T for non-boolean types,</a>
+<a name="290"><span class="lineNum">     290 </span>            :     // or GrB_LOR_MONOID_BOOL for boolean, and the GrB_ONEB_T multiplicative</a>
+<a name="291"><span class="lineNum">     291 </span>            :     // operator.  Given any matrices A and B, C = A*B when using this semiring</a>
+<a name="292"><span class="lineNum">     292 </span>            :     // computes a matrix C whose values (for entries present) are all equal to</a>
+<a name="293"><span class="lineNum">     293 </span>            :     // 1.  The result is dependent only on the structure of A and B, not their</a>
+<a name="294"><span class="lineNum">     294 </span>            :     // data types or values.  In MATLAB, this could be written for FP64 as:</a>
+<a name="295"><span class="lineNum">     295 </span>            :     //</a>
+<a name="296"><span class="lineNum">     296 </span>            :     //      C = spones (spones (A) * spones (B))</a>
+<a name="297"><span class="lineNum">     297 </span>            :     //</a>
+<a name="298"><span class="lineNum">     298 </span>            :     // The MIN monoid could also be MAX, TIMES, or GxB_ANY (for SuiteSparse</a>
+<a name="299"><span class="lineNum">     299 </span>            :     // GraphBLAS), or it could be BOR or BAND for the unsigned integer types.</a>
+<a name="300"><span class="lineNum">     300 </span>            :     // The LOR monoid could also be LAND or EQ.  All of these monoids reduce</a>
+<a name="301"><span class="lineNum">     301 </span>            :     // a set of values { 1, 1, 1, ... 1, 1 } down to the single scalar value</a>
+<a name="302"><span class="lineNum">     302 </span>            :     // of 1, or true, and thus any of these monoids will compute the same</a>
+<a name="303"><span class="lineNum">     303 </span>            :     // thing.</a>
+<a name="304"><span class="lineNum">     304 </span>            : </a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">        142 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_bool,</span></a>
+<a name="306"><span class="lineNum">     306 </span>            :         GrB_LOR_MONOID_BOOL   , GrB_ONEB_BOOL  )) ;</a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">        141 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_int8,</span></a>
+<a name="308"><span class="lineNum">     308 </span>            :         GrB_MIN_MONOID_INT8   , GrB_ONEB_INT8  )) ;</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">        140 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_int16,</span></a>
+<a name="310"><span class="lineNum">     310 </span>            :         GrB_MIN_MONOID_INT16  , GrB_ONEB_INT16 )) ;</a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">        139 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_int32,</span></a>
+<a name="312"><span class="lineNum">     312 </span>            :         GrB_MIN_MONOID_INT32  , GrB_ONEB_INT32 )) ;</a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">        138 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_int64,</span></a>
+<a name="314"><span class="lineNum">     314 </span>            :         GrB_MIN_MONOID_INT64  , GrB_ONEB_INT64 )) ;</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">        137 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_uint8,</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :         GrB_MIN_MONOID_UINT8  , GrB_ONEB_UINT8 )) ;</a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">        136 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_uint16,</span></a>
+<a name="318"><span class="lineNum">     318 </span>            :         GrB_MIN_MONOID_UINT16 , GrB_ONEB_UINT16)) ;</a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">        135 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_uint32,</span></a>
+<a name="320"><span class="lineNum">     320 </span>            :         GrB_MIN_MONOID_UINT32 , GrB_ONEB_UINT32)) ;</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">        134 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_uint64,</span></a>
+<a name="322"><span class="lineNum">     322 </span>            :         GrB_MIN_MONOID_UINT64 , GrB_ONEB_UINT64)) ;</a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">        133 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_fp32,</span></a>
+<a name="324"><span class="lineNum">     324 </span>            :         GrB_MIN_MONOID_FP32   , GrB_ONEB_FP32  )) ;</a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">        132 :     GRB_TRY (GrB_Semiring_new (&amp;LAGraph_any_one_fp64,</span></a>
+<a name="326"><span class="lineNum">     326 </span>            :         GrB_MIN_MONOID_FP64   , GrB_ONEB_FP64  )) ;</a>
+<a name="327"><span class="lineNum">     327 </span>            : </a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">        131 :     LG_set_LAGr_Init_has_been_called (true) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">        131 :     return (GrB_SUCCESS) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span>            : }</a>
+<a name="331"><span class="lineNum">     331 </span>            : </a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_SampleDegree.c.func-sort-c.html b/src/utility/LAGr_SampleDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..fa02d018da
--- /dev/null
+++ b/src/utility/LAGr_SampleDegree.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
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+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SampleDegree.c<span style="font-size: 80%;"> (<a href="LAGr_SampleDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
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+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_SampleDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
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+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SampleDegree.c.gcov.html#23">LAGr_SampleDegree</a></td>
+              <td class="coverFnHi">228</td>
+            </tr>
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+</html>
diff --git a/src/utility/LAGr_SampleDegree.c.func.html b/src/utility/LAGr_SampleDegree.c.func.html
new file mode 100644
index 0000000000..7f14987370
--- /dev/null
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_SampleDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
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+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SampleDegree.c<span style="font-size: 80%;"> (<a href="LAGr_SampleDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_SampleDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SampleDegree.c.gcov.html#23">LAGr_SampleDegree</a></td>
+              <td class="coverFnHi">228</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/src/utility/LAGr_SampleDegree.c.gcov.html b/src/utility/LAGr_SampleDegree.c.gcov.html
new file mode 100644
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--- /dev/null
+++ b/src/utility/LAGr_SampleDegree.c.gcov.html
@@ -0,0 +1,188 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_SampleDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SampleDegree.c<span style="font-size: 80%;"> (source / <a href="LAGr_SampleDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_SampleDegree: sample the degree median and mean</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGr_SampleDegree computes estimates of the mean and median of the</a>
+<a name="19"><span class="lineNum">      19 </span>            : // row or column degree of a graph.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL LAGraph_Free ((void **) &amp;samples, NULL) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">        228 : int LAGr_SampleDegree</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     double *sample_mean,    // sampled mean degree</a>
+<a name="29"><span class="lineNum">      29 </span>            :     double *sample_median,  // sampled median degree</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // input:</a>
+<a name="31"><span class="lineNum">      31 </span>            :     const LAGraph_Graph G,  // graph of n nodes</a>
+<a name="32"><span class="lineNum">      32 </span>            :     bool byout,             // if true, sample G-&gt;out_degree, else G-&gt;in_degree</a>
+<a name="33"><span class="lineNum">      33 </span>            :     int64_t nsamples,       // number of samples</a>
+<a name="34"><span class="lineNum">      34 </span>            :     uint64_t seed,          // random number seed</a>
+<a name="35"><span class="lineNum">      35 </span>            :     char *msg</a>
+<a name="36"><span class="lineNum">      36 </span>            : )</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // check inputs</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        228 :     LG_CLEAR_MSG ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        228 :     int64_t *samples = NULL ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        228 :     LG_ASSERT (sample_mean != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">        228 :     LG_ASSERT (sample_median != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        228 :     nsamples = LAGRAPH_MAX (nsamples, 1) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        228 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            :     GrB_Vector Degree ;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        228 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        202 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        202 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     {</a>
+<a name="56"><span class="lineNum">      56 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        156 :         Degree = G-&gt;out_degree ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :     }</a>
+<a name="59"><span class="lineNum">      59 </span>            :     else</a>
+<a name="60"><span class="lineNum">      60 </span>            :     {</a>
+<a name="61"><span class="lineNum">      61 </span>            :         // A is not known to be symmetric</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         72 :         Degree = (byout) ? G-&gt;out_degree : G-&gt;in_degree ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :     }</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        228 :     LG_ASSERT_MSG (Degree != NULL, LAGRAPH_NOT_CACHED, &quot;degree unknown&quot;) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            :     // allocate workspace</a>
+<a name="69"><span class="lineNum">      69 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">        210 :     LG_TRY (LAGraph_Malloc ((void **) &amp;samples, nsamples, sizeof (int64_t),</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :         msg)) ;</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            :     // pick nsamples nodes at random and determine their degree</a>
+<a name="76"><span class="lineNum">      76 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     // See also the hashed sampling method in LG_CC_FastSV6, which computes a</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // fast estimate of the mode of an integer vector.  This method does not</a>
+<a name="80"><span class="lineNum">      80 </span>            :     // require a hash table.  However, the mode estimator in LG_CC_FastSV6</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // would be a good candidate to add as an LAGraph_SampleMode utility</a>
+<a name="82"><span class="lineNum">      82 </span>            :     // function.</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     GrB_Index n ;</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        186 :     GRB_TRY (GrB_Vector_size (&amp;n, Degree)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        186 :     int64_t dsum = 0 ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">     150406 :     for (int k = 0 ; k &lt; nsamples ; k++)</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     {</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">     150220 :         uint64_t result = LG_Random60 (&amp;seed) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">     150220 :         int64_t i = result % n ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :         // d = Degree (i)</a>
+<a name="93"><span class="lineNum">      93 </span>            :         int64_t d ;</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">     150220 :         GRB_TRY (GrB_Vector_extractElement (&amp;d, Degree, i)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">     150220 :         samples [k] = d ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">     150220 :         dsum += d ;</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     }</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     // find the mean degree</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        186 :     (*sample_mean) = ((double) dsum) / nsamples ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :     // find the median degree</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        186 :     LG_qsort_1a (samples, nsamples) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        186 :     (*sample_median) = (double) samples [nsamples/2] ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="107"><span class="lineNum">     107 </span>            :     // free workspace and return result</a>
+<a name="108"><span class="lineNum">     108 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">        186 :     LG_FREE_ALL ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        186 :     return (GrB_SUCCESS) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_SortByDegree.c.func-sort-c.html b/src/utility/LAGr_SortByDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..8ea79ac60c
--- /dev/null
+++ b/src/utility/LAGr_SortByDegree.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_SortByDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SortByDegree.c<span style="font-size: 80%;"> (<a href="LAGr_SortByDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGr_SortByDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SortByDegree.c.gcov.html#52">LAGr_SortByDegree</a></td>
+              <td class="coverFnHi">1538</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_SortByDegree.c.func.html b/src/utility/LAGr_SortByDegree.c.func.html
new file mode 100644
index 0000000000..883b52cba1
--- /dev/null
+++ b/src/utility/LAGr_SortByDegree.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_SortByDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SortByDegree.c<span style="font-size: 80%;"> (<a href="LAGr_SortByDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGr_SortByDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGr_SortByDegree.c.gcov.html#52">LAGr_SortByDegree</a></td>
+              <td class="coverFnHi">1538</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGr_SortByDegree.c.gcov.html b/src/utility/LAGr_SortByDegree.c.gcov.html
new file mode 100644
index 0000000000..fc3d5f1d64
--- /dev/null
+++ b/src/utility/LAGr_SortByDegree.c.gcov.html
@@ -0,0 +1,243 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGr_SortByDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGr_SortByDegree.c<span style="font-size: 80%;"> (source / <a href="LAGr_SortByDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntry">38</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGr_SortByDegree: sort a graph by its row or column degree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGr_SortByDegree computes a permutation vector P that sorts a graph</a>
+<a name="19"><span class="lineNum">      19 </span>            : // by degree (either row or column degree of its adjacency matrix A).</a>
+<a name="20"><span class="lineNum">      20 </span>            : // If G is undirected, or if G is directed but is known to have a symmetric</a>
+<a name="21"><span class="lineNum">      21 </span>            : // adjacency matrix, then G-&gt;out_degree is used (and byout is ignored).</a>
+<a name="22"><span class="lineNum">      22 </span>            : // Otherwise, if G-&gt;out_degree is used if byout is true, and G-&gt;in_degree is</a>
+<a name="23"><span class="lineNum">      23 </span>            : // used if byout is false.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // G-&gt;out_degree or G-&gt;in_degree must first be computed.  An error is returned</a>
+<a name="26"><span class="lineNum">      26 </span>            : // if the required degree vector has not yet been computed.  See</a>
+<a name="27"><span class="lineNum">      27 </span>            : // LAGraph_Cached_OutDegree and LAGraph_Cached_InDegree.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : // The permutation is in ascending order of degree if ascending is true, and</a>
+<a name="30"><span class="lineNum">      30 </span>            : // in descending order otherwise.</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : // Ties are broken by the node id, so the sort is always predicable.  Lower</a>
+<a name="33"><span class="lineNum">      33 </span>            : // numbered rows/columns always appear before higher ones, if they have the</a>
+<a name="34"><span class="lineNum">      34 </span>            : // same degree.</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // The output is a permutation P where P [k] = i if row i is the kth row in</a>
+<a name="37"><span class="lineNum">      37 </span>            : // the permutation (or P [k] = j if column j is the kth column in the</a>
+<a name="38"><span class="lineNum">      38 </span>            : // permutation, with byout false).</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                                       \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     LAGraph_Free ((void **) &amp;W, NULL) ; \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     LAGraph_Free ((void **) &amp;D, NULL) ; \</a>
+<a name="44"><span class="lineNum">      44 </span>            : }</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : #define LG_FREE_ALL                     \</a>
+<a name="47"><span class="lineNum">      47 </span>            : {                                       \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     LG_FREE_WORK ;                      \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     LAGraph_Free ((void **) &amp;P, NULL) ; \</a>
+<a name="50"><span class="lineNum">      50 </span>            : }</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">       1538 : int LAGr_SortByDegree</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : (</a>
+<a name="56"><span class="lineNum">      56 </span>            :     // output:</a>
+<a name="57"><span class="lineNum">      57 </span>            :     int64_t **P_handle,     // permutation vector of size n</a>
+<a name="58"><span class="lineNum">      58 </span>            :     // input:</a>
+<a name="59"><span class="lineNum">      59 </span>            :     const LAGraph_Graph G,  // graph of n nodes</a>
+<a name="60"><span class="lineNum">      60 </span>            :     bool byout,             // if true, sort G-&gt;out_degree, else G-&gt;in_degree</a>
+<a name="61"><span class="lineNum">      61 </span>            :     bool ascending,         // sort in ascending or descending order</a>
+<a name="62"><span class="lineNum">      62 </span>            :     char *msg</a>
+<a name="63"><span class="lineNum">      63 </span>            : )</a>
+<a name="64"><span class="lineNum">      64 </span>            : {</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            :     // check inputs</a>
+<a name="68"><span class="lineNum">      68 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">       1538 :     LG_CLEAR_MSG ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">       1538 :     int64_t *P = NULL ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">       1538 :     int64_t *W = NULL ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">       1538 :     int64_t *D = NULL ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">       1538 :     LG_ASSERT_MSG (P_handle != NULL, GrB_NULL_POINTER, &quot;&amp;P != NULL&quot;) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       1537 :     (*P_handle) = NULL ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">       1537 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     GrB_Vector Degree ;</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">       1536 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">       1441 :        (G-&gt;kind == LAGraph_ADJACENCY_DIRECTED &amp;&amp;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       1441 :         G-&gt;is_symmetric_structure == LAGraph_TRUE))</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span>            :         // the structure of A is known to be symmetric</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">       1440 :         Degree = G-&gt;out_degree ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span>            :     else</a>
+<a name="88"><span class="lineNum">      88 </span>            :     {</a>
+<a name="89"><span class="lineNum">      89 </span>            :         // A is not known to be symmetric</a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         96 :         Degree = (byout) ? G-&gt;out_degree : G-&gt;in_degree ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            :     }</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">       1536 :     LG_ASSERT_MSG (Degree != NULL, LAGRAPH_NOT_CACHED, &quot;degree unknown&quot;) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            :     // decide how many threads to use</a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     GrB_Index n ;</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">       1535 :     GRB_TRY (GrB_Vector_size (&amp;n, Degree)) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span>            :     #define CHUNK (64*1024)</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">       1535 :     int nthreads = LG_nthreads_outer * LG_nthreads_inner ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">       1535 :     nthreads = LAGRAPH_MIN (nthreads, n/CHUNK) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">       1535 :     nthreads = LAGRAPH_MAX (nthreads, 1) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="108"><span class="lineNum">     108 </span>            :     // allocate result and workspace</a>
+<a name="109"><span class="lineNum">     109 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">       1535 :     LG_TRY (LAGraph_Malloc ((void **) &amp;P, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">       1490 :     LG_TRY (LAGraph_Malloc ((void **) &amp;D, n, sizeof (int64_t), msg)) ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">       1445 :     LG_TRY (LAGraph_Malloc ((void **) &amp;W, 2*n, sizeof (int64_t), msg)) ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">       1400 :     int64_t *W0 = W ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">       1400 :     int64_t *W1 = W + n ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // construct the pair [D,P] to sort</a>
+<a name="119"><span class="lineNum">     119 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span>            :     int64_t k;</a>
+<a name="122"><span class="lineNum">     122 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">     808490 :     for (k = 0 ; k &lt; n ; k++)</span></a>
+<a name="124"><span class="lineNum">     124 </span>            :     {</a>
+<a name="125"><span class="lineNum">     125 </span><span class="lineCov">     807090 :         D [k] = 0 ;</span></a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">     807090 :         P [k] = k ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            :     }</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     // extract the degrees</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">       1400 :     GrB_Index nvals = n ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">       1400 :     GRB_TRY (GrB_Vector_extractTuples ((GrB_Index *) W0, W1, &amp;nvals, Degree)) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">       1400 :     if (ascending)</span></a>
+<a name="134"><span class="lineNum">     134 </span>            :     {</a>
+<a name="135"><span class="lineNum">     135 </span>            :         // sort [D,P] in ascending order of degree, tie-breaking on P</a>
+<a name="136"><span class="lineNum">     136 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">     706700 :         for (k = 0 ; k &lt; nvals ; k++)</span></a>
+<a name="138"><span class="lineNum">     138 </span>            :         {</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">     705446 :             D [W0 [k]] = W1 [k] ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :         }</a>
+<a name="141"><span class="lineNum">     141 </span>            :     }</a>
+<a name="142"><span class="lineNum">     142 </span>            :     else</a>
+<a name="143"><span class="lineNum">     143 </span>            :     {</a>
+<a name="144"><span class="lineNum">     144 </span>            :         // sort [D,P] in descending order of degree, tie-breaking on P</a>
+<a name="145"><span class="lineNum">     145 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(static)</a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">     101686 :         for (k = 0 ; k &lt; nvals ; k++)</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :         {</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">     101540 :             D [W0 [k]] = -W1 [k] ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :         }</a>
+<a name="150"><span class="lineNum">     150 </span>            :     }</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">       1400 :     LG_TRY (LAGraph_Free ((void **) &amp;W, NULL)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="155"><span class="lineNum">     155 </span>            :     // sort by degrees, with ties by node id</a>
+<a name="156"><span class="lineNum">     156 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">       1400 :     LG_TRY (LG_msort2 (D, P, n, msg)) ;</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : </a>
+<a name="160"><span class="lineNum">     160 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="161"><span class="lineNum">     161 </span>            :     // free workspace and return result</a>
+<a name="162"><span class="lineNum">     162 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">       1400 :     LG_FREE_WORK ;</span></a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">       1400 :     (*P_handle) = P ;</span></a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">       1400 :     return (GrB_SUCCESS) ;</span></a>
+<a name="167"><span class="lineNum">     167 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_AT.c.func-sort-c.html b/src/utility/LAGraph_Cached_AT.c.func-sort-c.html
new file mode 100644
index 0000000000..4f85cdb25a
--- /dev/null
+++ b/src/utility/LAGraph_Cached_AT.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_AT.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_AT.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_AT.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_AT.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_AT.c.gcov.html#20">LAGraph_Cached_AT</a></td>
+              <td class="coverFnHi">1279</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_AT.c.func.html b/src/utility/LAGraph_Cached_AT.c.func.html
new file mode 100644
index 0000000000..0f1aa9b029
--- /dev/null
+++ b/src/utility/LAGraph_Cached_AT.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_AT.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_AT.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_AT.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_AT.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_AT.c.gcov.html#20">LAGraph_Cached_AT</a></td>
+              <td class="coverFnHi">1279</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_AT.c.gcov.html b/src/utility/LAGraph_Cached_AT.c.gcov.html
new file mode 100644
index 0000000000..450b75a162
--- /dev/null
+++ b/src/utility/LAGraph_Cached_AT.c.gcov.html
@@ -0,0 +1,142 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_AT.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_AT.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_AT.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_AT: construct G-&gt;AT for a graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_ALL GrB_free (&amp;AT) ;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span><span class="lineCov">       1279 : int LAGraph_Cached_AT</span></a>
+<a name="23"><span class="lineNum">      23 </span>            : (</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // input/output:</a>
+<a name="25"><span class="lineNum">      25 </span>            :     LAGraph_Graph G,    // graph for which to compute G-&gt;AT</a>
+<a name="26"><span class="lineNum">      26 </span>            :     char *msg</a>
+<a name="27"><span class="lineNum">      27 </span>            : )</a>
+<a name="28"><span class="lineNum">      28 </span>            : {</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // clear msg and check G</a>
+<a name="32"><span class="lineNum">      32 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">       1279 :     GrB_Matrix AT = NULL ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">       1279 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">       1279 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">       1279 :     if (G-&gt;AT != NULL)</span></a>
+<a name="39"><span class="lineNum">      39 </span>            :     {</a>
+<a name="40"><span class="lineNum">      40 </span>            :         // G-&gt;AT already computed</a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">         42 :         return (GrB_SUCCESS) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :     }</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">       1237 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="45"><span class="lineNum">      45 </span>            :     {</a>
+<a name="46"><span class="lineNum">      46 </span>            :         // G-&gt;AT not needed since A is symmetric (warning only, not an error)</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">         72 :         return (LAGRAPH_CACHE_NOT_NEEDED) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            :     }</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            :     // G-&gt;AT = (G-&gt;A)'</a>
+<a name="52"><span class="lineNum">      52 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">       1165 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">       1165 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     GrB_Type atype ;</a>
+<a name="58"><span class="lineNum">      58 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">       1165 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">       1165 :     LG_TRY (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">       1165 :     GRB_TRY (GrB_Matrix_new (&amp;AT, atype, ncols, nrows)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        848 :     GRB_TRY (GrB_transpose (AT, NULL, NULL, A, NULL)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        605 :     G-&gt;AT = AT ;</span></a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        605 :     return (GrB_SUCCESS) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMax.c.func-sort-c.html b/src/utility/LAGraph_Cached_EMax.c.func-sort-c.html
new file mode 100644
index 0000000000..22e4c091ed
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMax.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMax.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMax.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_EMax.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_EMax.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_EMax.c.gcov.html#23">LAGraph_Cached_EMax</a></td>
+              <td class="coverFnHi">67</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMax.c.func.html b/src/utility/LAGraph_Cached_EMax.c.func.html
new file mode 100644
index 0000000000..da4d23c672
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMax.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMax.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMax.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_EMax.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_EMax.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_EMax.c.gcov.html#23">LAGraph_Cached_EMax</a></td>
+              <td class="coverFnHi">67</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMax.c.gcov.html b/src/utility/LAGraph_Cached_EMax.c.gcov.html
new file mode 100644
index 0000000000..204a2ab763
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMax.c.gcov.html
@@ -0,0 +1,156 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMax.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMax.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_EMax.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_EMax: determine G-&gt;emax</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_ALL             \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                               \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;G-&gt;emax) ;       \</a>
+<a name="21"><span class="lineNum">      21 </span>            : }</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">         67 : int LAGraph_Cached_EMax</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // input/output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Graph G,    // graph to determine G-&gt;emax</a>
+<a name="29"><span class="lineNum">      29 </span>            :     char *msg</a>
+<a name="30"><span class="lineNum">      30 </span>            : )</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            :     // clear msg and check G</a>
+<a name="35"><span class="lineNum">      35 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">         67 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">         67 :     if (G-&gt;emax != NULL)</span></a>
+<a name="40"><span class="lineNum">      40 </span>            :     {</a>
+<a name="41"><span class="lineNum">      41 </span>            :         // G-&gt;emax already computed</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :     }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">         65 :     G-&gt;emax_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // determine the type of G-&gt;A and the corresponding max monoid</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         65 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Type atype ;</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         65 :     LG_TRY (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Monoid monoid ;</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">         65 :     if      (atype == GrB_BOOL  ) monoid = GrB_LOR_MONOID_BOOL  ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         48 :     else if (atype == GrB_INT8  ) monoid = GrB_MAX_MONOID_INT8   ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         46 :     else if (atype == GrB_INT16 ) monoid = GrB_MAX_MONOID_INT16  ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         44 :     else if (atype == GrB_INT32 ) monoid = GrB_MAX_MONOID_INT32  ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         38 :     else if (atype == GrB_INT64 ) monoid = GrB_MAX_MONOID_INT64  ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         30 :     else if (atype == GrB_UINT8 ) monoid = GrB_MAX_MONOID_UINT8  ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         29 :     else if (atype == GrB_UINT16) monoid = GrB_MAX_MONOID_UINT16 ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         28 :     else if (atype == GrB_UINT32) monoid = GrB_MAX_MONOID_UINT32 ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         27 :     else if (atype == GrB_UINT64) monoid = GrB_MAX_MONOID_UINT64 ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         26 :     else if (atype == GrB_FP32  ) monoid = GrB_MAX_MONOID_FP32   ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         24 :     else if (atype == GrB_FP64  ) monoid = GrB_MAX_MONOID_FP64   ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     else</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     }</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // compute G-&gt;emax</a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">         64 :     GRB_TRY (GrB_Scalar_new (&amp;(G-&gt;emax), atype)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         64 :     GRB_TRY (GrB_reduce (G-&gt;emax, NULL, monoid, G-&gt;A, NULL)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         64 :     G-&gt;emax_state = LAGraph_VALUE ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         64 :     return (GrB_SUCCESS) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMin.c.func-sort-c.html b/src/utility/LAGraph_Cached_EMin.c.func-sort-c.html
new file mode 100644
index 0000000000..8ac179a2e2
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMin.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMin.c - functions</title>
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+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMin.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_EMin.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_EMin.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_EMin.c.gcov.html#23">LAGraph_Cached_EMin</a></td>
+              <td class="coverFnHi">96</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMin.c.func.html b/src/utility/LAGraph_Cached_EMin.c.func.html
new file mode 100644
index 0000000000..8320ded413
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMin.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMin.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMin.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_EMin.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_EMin.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_EMin.c.gcov.html#23">LAGraph_Cached_EMin</a></td>
+              <td class="coverFnHi">96</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_EMin.c.gcov.html b/src/utility/LAGraph_Cached_EMin.c.gcov.html
new file mode 100644
index 0000000000..c408a5973e
--- /dev/null
+++ b/src/utility/LAGraph_Cached_EMin.c.gcov.html
@@ -0,0 +1,156 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_EMin.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_EMin.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_EMin.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_EMin: determine G-&gt;emin</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_ALL             \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                               \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;G-&gt;emin) ;       \</a>
+<a name="21"><span class="lineNum">      21 </span>            : }</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">         96 : int LAGraph_Cached_EMin</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // input/output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Graph G,    // graph to determine G-&gt;emin</a>
+<a name="29"><span class="lineNum">      29 </span>            :     char *msg</a>
+<a name="30"><span class="lineNum">      30 </span>            : )</a>
+<a name="31"><span class="lineNum">      31 </span>            : {</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            :     // clear msg and check G</a>
+<a name="35"><span class="lineNum">      35 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">         96 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">         96 :     if (G-&gt;emin != NULL)</span></a>
+<a name="40"><span class="lineNum">      40 </span>            :     {</a>
+<a name="41"><span class="lineNum">      41 </span>            :         // G-&gt;emin already computed</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            :     }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">         94 :     G-&gt;emin_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // determine the type of G-&gt;A and the corresponding min monoid</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         94 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, G-&gt;A, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Type atype ;</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         94 :     LG_TRY (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     GrB_Monoid monoid ;</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">         94 :     if      (atype == GrB_BOOL  ) monoid = GrB_LAND_MONOID_BOOL  ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         77 :     else if (atype == GrB_INT8  ) monoid = GrB_MIN_MONOID_INT8   ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         75 :     else if (atype == GrB_INT16 ) monoid = GrB_MIN_MONOID_INT16  ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         73 :     else if (atype == GrB_INT32 ) monoid = GrB_MIN_MONOID_INT32  ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         66 :     else if (atype == GrB_INT64 ) monoid = GrB_MIN_MONOID_INT64  ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">         53 :     else if (atype == GrB_UINT8 ) monoid = GrB_MIN_MONOID_UINT8  ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">         52 :     else if (atype == GrB_UINT16) monoid = GrB_MIN_MONOID_UINT16 ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">         51 :     else if (atype == GrB_UINT32) monoid = GrB_MIN_MONOID_UINT32 ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         49 :     else if (atype == GrB_UINT64) monoid = GrB_MIN_MONOID_UINT64 ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         47 :     else if (atype == GrB_FP32  ) monoid = GrB_MIN_MONOID_FP32   ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         44 :     else if (atype == GrB_FP64  ) monoid = GrB_MIN_MONOID_FP64   ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     else</a>
+<a name="68"><span class="lineNum">      68 </span>            :     {</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     }</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // compute G-&gt;emin</a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">         93 :     GRB_TRY (GrB_Scalar_new (&amp;(G-&gt;emin), atype)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">         93 :     GRB_TRY (GrB_reduce (G-&gt;emin, NULL, monoid, G-&gt;A, NULL)) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">         93 :     G-&gt;emin_state = LAGraph_VALUE ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">         93 :     return (GrB_SUCCESS) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_InDegree.c.func-sort-c.html b/src/utility/LAGraph_Cached_InDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..6f7b503ba2
--- /dev/null
+++ b/src/utility/LAGraph_Cached_InDegree.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_InDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_InDegree.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_InDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_InDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_InDegree.c.gcov.html#38">LAGraph_Cached_InDegree</a></td>
+              <td class="coverFnHi">1419</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+
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+</html>
diff --git a/src/utility/LAGraph_Cached_InDegree.c.func.html b/src/utility/LAGraph_Cached_InDegree.c.func.html
new file mode 100644
index 0000000000..d09d0911a1
--- /dev/null
+++ b/src/utility/LAGraph_Cached_InDegree.c.func.html
@@ -0,0 +1,76 @@
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+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_InDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_InDegree.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_InDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_InDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_InDegree.c.gcov.html#38">LAGraph_Cached_InDegree</a></td>
+              <td class="coverFnHi">1419</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_InDegree.c.gcov.html b/src/utility/LAGraph_Cached_InDegree.c.gcov.html
new file mode 100644
index 0000000000..f672871e58
--- /dev/null
+++ b/src/utility/LAGraph_Cached_InDegree.c.gcov.html
@@ -0,0 +1,181 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_InDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_InDegree.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_InDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntry">21</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_InDegree: determine G-&gt;in_degree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Cached_InDegree computes G-&gt;in_degree, where G-&gt;in_degree(j) is</a>
+<a name="19"><span class="lineNum">      19 </span>            : // the number of entries in G-&gt;A (:,j).  If there are no entries in G-&gt;A (:,j),</a>
+<a name="20"><span class="lineNum">      20 </span>            : // G-&gt;coldgree(j) is not present in the structure of G-&gt;in_degree.  That is,</a>
+<a name="21"><span class="lineNum">      21 </span>            : // G-&gt;in_degree contains no explicit zero entries.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // G-&gt;in_degree is not computed if the graph is undirected.  Use G-&gt;out_degree</a>
+<a name="24"><span class="lineNum">      24 </span>            : // instead, and LAGraph_Cached_OutDegree.</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #define LG_FREE_WORK            \</a>
+<a name="27"><span class="lineNum">      27 </span>            : {                               \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_free (&amp;S) ;             \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     GrB_free (&amp;x) ;             \</a>
+<a name="30"><span class="lineNum">      30 </span>            : }</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #define LG_FREE_ALL             \</a>
+<a name="33"><span class="lineNum">      33 </span>            : {                               \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     LG_FREE_WORK ;              \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     GrB_free (&amp;in_degree) ;    \</a>
+<a name="36"><span class="lineNum">      36 </span>            : }</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">       1419 : int LAGraph_Cached_InDegree</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : (</a>
+<a name="42"><span class="lineNum">      42 </span>            :     // input/output:</a>
+<a name="43"><span class="lineNum">      43 </span>            :     LAGraph_Graph G,    // graph to determine G-&gt;in_degree</a>
+<a name="44"><span class="lineNum">      44 </span>            :     char *msg</a>
+<a name="45"><span class="lineNum">      45 </span>            : )</a>
+<a name="46"><span class="lineNum">      46 </span>            : {</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            :     // clear msg and check G</a>
+<a name="50"><span class="lineNum">      50 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">       1419 :     GrB_Matrix S = NULL ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">       1419 :     GrB_Vector in_degree = NULL, x = NULL ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">       1419 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">       1418 :     if (G-&gt;in_degree != NULL)</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     {</a>
+<a name="58"><span class="lineNum">      58 </span>            :         // G-&gt;in_degree already computed</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        110 :         return (GrB_SUCCESS) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :     }</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">       1308 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :     {</a>
+<a name="64"><span class="lineNum">      64 </span>            :         // G-&gt;in_degree is not computed since A is symmetric (warning only)</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        152 :         return (LAGRAPH_CACHE_NOT_NEEDED) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span>            :     }</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            :     // determine the size of A</a>
+<a name="70"><span class="lineNum">      70 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">       1156 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">       1156 :     GrB_Matrix AT = G-&gt;AT ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       1156 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">       1156 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // compute the in_degree</a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       1156 :     GRB_TRY (GrB_Vector_new (&amp;in_degree, GrB_INT64, ncols)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     // x = zeros (nrows,1)</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        962 :     GRB_TRY (GrB_Vector_new (&amp;x, GrB_INT64, nrows)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        768 :     GRB_TRY (GrB_assign (x, NULL, NULL, 0, GrB_ALL, nrows, NULL)) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        671 :     if (AT != NULL)</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     {</a>
+<a name="89"><span class="lineNum">      89 </span>            :         // G-&gt;in_degree = row degree of AT; this will be faster assuming</a>
+<a name="90"><span class="lineNum">      90 </span>            :         // AT is held in a row-oriented format.</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        243 :         GRB_TRY (GrB_mxv (in_degree, NULL, NULL, LAGraph_plus_one_int64,</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :             AT, x, NULL)) ;</a>
+<a name="93"><span class="lineNum">      93 </span>            :     }</a>
+<a name="94"><span class="lineNum">      94 </span>            :     else</a>
+<a name="95"><span class="lineNum">      95 </span>            :     {</a>
+<a name="96"><span class="lineNum">      96 </span>            :         // G-&gt;in_degree = column degree of A</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">        428 :         GRB_TRY (GrB_mxv (in_degree, NULL, NULL, LAGraph_plus_one_int64,</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :             A, x, GrB_DESC_T0)) ;</a>
+<a name="99"><span class="lineNum">      99 </span>            :     }</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        470 :     G-&gt;in_degree = in_degree ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        470 :     LG_FREE_WORK ;</span></a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">        470 :     return (GrB_SUCCESS) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func-sort-c.html b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func-sort-c.html
new file mode 100644
index 0000000000..707fe8ea5a
--- /dev/null
+++ b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_IsSymmetricStructure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_IsSymmetricStructure.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_IsSymmetricStructure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_IsSymmetricStructure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_IsSymmetricStructure.c.gcov.html#28">LAGraph_Cached_IsSymmetricStructure</a></td>
+              <td class="coverFnHi">1658</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+</html>
diff --git a/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func.html b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func.html
new file mode 100644
index 0000000000..10b13591d3
--- /dev/null
+++ b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.func.html
@@ -0,0 +1,76 @@
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_IsSymmetricStructure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_IsSymmetricStructure.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_IsSymmetricStructure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
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+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_IsSymmetricStructure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_IsSymmetricStructure.c.gcov.html#28">LAGraph_Cached_IsSymmetricStructure</a></td>
+              <td class="coverFnHi">1658</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
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+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+</html>
diff --git a/src/utility/LAGraph_Cached_IsSymmetricStructure.c.gcov.html b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.gcov.html
new file mode 100644
index 0000000000..a9641bc374
--- /dev/null
+++ b/src/utility/LAGraph_Cached_IsSymmetricStructure.c.gcov.html
@@ -0,0 +1,179 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_IsSymmetricStructure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_IsSymmetricStructure.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_IsSymmetricStructure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntry">24</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_IsSymmetricStructure: determine G-&gt;is_symmetric_structure</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Also computes G-&gt;AT if not already computed, if G is not an undirected</a>
+<a name="19"><span class="lineNum">      19 </span>            : // graph and G-&gt;A is square.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_WORK        \</a>
+<a name="22"><span class="lineNum">      22 </span>            : {                           \</a>
+<a name="23"><span class="lineNum">      23 </span>            :     GrB_free (&amp;S1) ;        \</a>
+<a name="24"><span class="lineNum">      24 </span>            :     GrB_free (&amp;S2) ;        \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_free (&amp;C) ;         \</a>
+<a name="26"><span class="lineNum">      26 </span>            : }</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">       1658 : int LAGraph_Cached_IsSymmetricStructure</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : (</a>
+<a name="32"><span class="lineNum">      32 </span>            :     // input/output:</a>
+<a name="33"><span class="lineNum">      33 </span>            :     LAGraph_Graph G,    // graph to determine the symmetry of structure of A</a>
+<a name="34"><span class="lineNum">      34 </span>            :     char *msg</a>
+<a name="35"><span class="lineNum">      35 </span>            : )</a>
+<a name="36"><span class="lineNum">      36 </span>            : {</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            :     // clear msg and check G</a>
+<a name="40"><span class="lineNum">      40 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">       1658 :     GrB_Matrix C = NULL, S1 = NULL, S2 = NULL ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">       1658 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">       1657 :     if (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="46"><span class="lineNum">      46 </span>            :     {</a>
+<a name="47"><span class="lineNum">      47 </span>            :         // assume A is symmetric for an undirected graph</a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        349 :         G-&gt;is_symmetric_structure = LAGraph_TRUE ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        349 :         return (GrB_SUCCESS) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            :     }</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">       1308 :     if (G-&gt;is_symmetric_structure != LAGRAPH_UNKNOWN)</span></a>
+<a name="53"><span class="lineNum">      53 </span>            :     {</a>
+<a name="54"><span class="lineNum">      54 </span>            :         // cached symmetric property is already known</a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        207 :         return (GrB_SUCCESS) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            :     }</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            :     // determine the size of A</a>
+<a name="60"><span class="lineNum">      60 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">       1101 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :     GrB_Index n, ncols ;</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">       1101 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       1101 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       1101 :     if (n != ncols)</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     {</a>
+<a name="68"><span class="lineNum">      68 </span>            :         // A is rectangular and thus cannot be symmetric</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         16 :         G-&gt;is_symmetric_structure = LAGraph_FALSE ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         16 :         return (GrB_SUCCESS) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            :     }</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            :     // compute the transpose, if not already computed</a>
+<a name="75"><span class="lineNum">      75 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">       1085 :     if (G-&gt;AT == NULL)</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :     {</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">        578 :         LG_TRY (LAGraph_Cached_AT (G, msg)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :     }</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            :     // check if the structure of A and AT are the same</a>
+<a name="84"><span class="lineNum">      84 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            : </a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        827 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, n, n)) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :     // C(i,j) = 1 if both A(i,j) and AT(i,j) exist</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        625 :     GRB_TRY (GrB_eWiseMult (C, NULL, NULL, GrB_ONEB_BOOL, A, G-&gt;AT, NULL)) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :     GrB_Index nvals1, nvals2 ;</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        478 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals1, C)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">        478 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals2, A)) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        478 :     G-&gt;is_symmetric_structure =</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        478 :         (nvals1 == nvals2) ? LAGraph_TRUE : LAGraph_FALSE ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // free workspace and return result</a>
+<a name="99"><span class="lineNum">      99 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        478 :     LG_FREE_WORK ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        478 :     return (GrB_SUCCESS) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_NSelfEdges.c.func-sort-c.html b/src/utility/LAGraph_Cached_NSelfEdges.c.func-sort-c.html
new file mode 100644
index 0000000000..cfd80f2ed8
--- /dev/null
+++ b/src/utility/LAGraph_Cached_NSelfEdges.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_NSelfEdges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_NSelfEdges.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_NSelfEdges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_NSelfEdges.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_NSelfEdges.c.gcov.html#18">LAGraph_Cached_NSelfEdges</a></td>
+              <td class="coverFnHi">985</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_NSelfEdges.c.func.html b/src/utility/LAGraph_Cached_NSelfEdges.c.func.html
new file mode 100644
index 0000000000..9b6e40ebab
--- /dev/null
+++ b/src/utility/LAGraph_Cached_NSelfEdges.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_NSelfEdges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_NSelfEdges.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_NSelfEdges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_NSelfEdges.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_NSelfEdges.c.gcov.html#18">LAGraph_Cached_NSelfEdges</a></td>
+              <td class="coverFnHi">985</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_NSelfEdges.c.gcov.html b/src/utility/LAGraph_Cached_NSelfEdges.c.gcov.html
new file mode 100644
index 0000000000..02866ab19c
--- /dev/null
+++ b/src/utility/LAGraph_Cached_NSelfEdges.c.gcov.html
@@ -0,0 +1,121 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_NSelfEdges.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_NSelfEdges.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_NSelfEdges.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_NSelfEdges: count the # of diagonal entries of a graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">        985 : int LAGraph_Cached_NSelfEdges</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input/output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Graph G,    // graph to compute G-&gt;nself_edges</a>
+<a name="24"><span class="lineNum">      24 </span>            :     char *msg</a>
+<a name="25"><span class="lineNum">      25 </span>            : )</a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // clear msg and check G</a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">        985 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            :     // already computed</a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        984 :     if (G-&gt;nself_edges != LAGRAPH_UNKNOWN)</span></a>
+<a name="36"><span class="lineNum">      36 </span>            :     {</a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">        352 :         return (GrB_SUCCESS) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            :     }</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            :     // compute G-&gt;nself_edges</a>
+<a name="42"><span class="lineNum">      42 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        632 :     return (LG_nself_edges (&amp;G-&gt;nself_edges, G-&gt;A, msg)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_OutDegree.c.func-sort-c.html b/src/utility/LAGraph_Cached_OutDegree.c.func-sort-c.html
new file mode 100644
index 0000000000..5abc8bc55c
--- /dev/null
+++ b/src/utility/LAGraph_Cached_OutDegree.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_OutDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_OutDegree.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_OutDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Cached_OutDegree.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_OutDegree.c.gcov.html#34">LAGraph_Cached_OutDegree</a></td>
+              <td class="coverFnHi">1583</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_OutDegree.c.func.html b/src/utility/LAGraph_Cached_OutDegree.c.func.html
new file mode 100644
index 0000000000..3180a7dc40
--- /dev/null
+++ b/src/utility/LAGraph_Cached_OutDegree.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_OutDegree.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_OutDegree.c<span style="font-size: 80%;"> (<a href="LAGraph_Cached_OutDegree.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Cached_OutDegree.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Cached_OutDegree.c.gcov.html#34">LAGraph_Cached_OutDegree</a></td>
+              <td class="coverFnHi">1583</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Cached_OutDegree.c.gcov.html b/src/utility/LAGraph_Cached_OutDegree.c.gcov.html
new file mode 100644
index 0000000000..cdacbdd7df
--- /dev/null
+++ b/src/utility/LAGraph_Cached_OutDegree.c.gcov.html
@@ -0,0 +1,158 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Cached_OutDegree.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Cached_OutDegree.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Cached_OutDegree.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Cached_OutDegree: determine G-&gt;out_degree</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Cached_OutDegree computes G-&gt;out_degree, where G-&gt;out_degree(i) is</a>
+<a name="19"><span class="lineNum">      19 </span>            : // the number of entries in G-&gt;A (i,:).  If there are no entries in G-&gt;A (i,:),</a>
+<a name="20"><span class="lineNum">      20 </span>            : // G-&gt;rowdgree(i) is not present in the structure of G-&gt;out_degree.  That is,</a>
+<a name="21"><span class="lineNum">      21 </span>            : // G-&gt;out_degree contains no explicit zero entries.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #define LG_FREE_WORK            \</a>
+<a name="24"><span class="lineNum">      24 </span>            : {                               \</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_free (&amp;x) ;             \</a>
+<a name="26"><span class="lineNum">      26 </span>            : }</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #define LG_FREE_ALL             \</a>
+<a name="29"><span class="lineNum">      29 </span>            : {                               \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     LG_FREE_WORK ;              \</a>
+<a name="31"><span class="lineNum">      31 </span>            :     GrB_free (&amp;out_degree) ;    \</a>
+<a name="32"><span class="lineNum">      32 </span>            : }</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">       1583 : int LAGraph_Cached_OutDegree</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : (</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // input/output:</a>
+<a name="39"><span class="lineNum">      39 </span>            :     LAGraph_Graph G,    // graph to determine G-&gt;out_degree</a>
+<a name="40"><span class="lineNum">      40 </span>            :     char *msg</a>
+<a name="41"><span class="lineNum">      41 </span>            : )</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // clear msg and check G</a>
+<a name="46"><span class="lineNum">      46 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">       1583 :     GrB_Vector out_degree = NULL, x = NULL ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">       1583 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">       1582 :     if (G-&gt;out_degree != NULL)</span></a>
+<a name="52"><span class="lineNum">      52 </span>            :     {</a>
+<a name="53"><span class="lineNum">      53 </span>            :         // G-&gt;out_degree already computed</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        538 :         return (GrB_SUCCESS) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     }</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="58"><span class="lineNum">      58 </span>            :     // determine the size of A</a>
+<a name="59"><span class="lineNum">      59 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">       1044 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">       1044 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">       1044 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="67"><span class="lineNum">      67 </span>            :     // compute the out_degree</a>
+<a name="68"><span class="lineNum">      68 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">       1044 :     GRB_TRY (GrB_Vector_new (&amp;out_degree, GrB_INT64, nrows)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            :     // x = zeros (ncols,1)</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">        910 :     GRB_TRY (GrB_Vector_new (&amp;x, GrB_INT64, ncols)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        776 :     GRB_TRY (GrB_assign (x, NULL, NULL, 0, GrB_ALL, ncols, NULL)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        709 :     GRB_TRY (GrB_mxv (out_degree, NULL, NULL, LAGraph_plus_one_int64,</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :         A, x, NULL)) ;</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">        590 :     G-&gt;out_degree = out_degree ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">        590 :     LG_FREE_WORK ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">        590 :     return (GrB_SUCCESS) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Calloc.c.func-sort-c.html b/src/utility/LAGraph_Calloc.c.func-sort-c.html
new file mode 100644
index 0000000000..c6d5ef7139
--- /dev/null
+++ b/src/utility/LAGraph_Calloc.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Calloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Calloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Calloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Calloc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Calloc.c.gcov.html#18">LAGraph_Calloc</a></td>
+              <td class="coverFnHi">2548</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Calloc.c.func.html b/src/utility/LAGraph_Calloc.c.func.html
new file mode 100644
index 0000000000..65f5dcec74
--- /dev/null
+++ b/src/utility/LAGraph_Calloc.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Calloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Calloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Calloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Calloc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Calloc.c.gcov.html#18">LAGraph_Calloc</a></td>
+              <td class="coverFnHi">2548</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Calloc.c.gcov.html b/src/utility/LAGraph_Calloc.c.gcov.html
new file mode 100644
index 0000000000..be31d5a6f7
--- /dev/null
+++ b/src/utility/LAGraph_Calloc.c.gcov.html
@@ -0,0 +1,136 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Calloc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Calloc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Calloc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntry">14</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Calloc:  wrapper for calloc</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">       2548 : int LAGraph_Calloc</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     void **p,               // pointer to allocated block of memory</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // input:</a>
+<a name="25"><span class="lineNum">      25 </span>            :     size_t nitems,          // number of items</a>
+<a name="26"><span class="lineNum">      26 </span>            :     size_t size_of_item,    // size of each item</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char *msg</a>
+<a name="28"><span class="lineNum">      28 </span>            : )</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // check inputs</a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">       2548 :     LG_CLEAR_MSG ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">       2548 :     LG_ASSERT (p != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">       2548 :     (*p) = NULL ;</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            :     // make sure at least one item is allocated</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">       2548 :     nitems = LAGRAPH_MAX (1, nitems) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            :     // make sure at least one byte is allocated</a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">       2548 :     size_of_item = LAGRAPH_MAX (1, size_of_item) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            :     // compute the size and check for integer overflow</a>
+<a name="42"><span class="lineNum">      42 </span>            :     size_t size ;</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">       2548 :     if (!LG_Multiply_size_t (&amp;size, nitems, size_of_item))</span></a>
+<a name="44"><span class="lineNum">      44 </span>            :     {</a>
+<a name="45"><span class="lineNum">      45 </span>            :         // overflow</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :         return (GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :     }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">       2547 :     if (LAGraph_Calloc_function == NULL)</span></a>
+<a name="50"><span class="lineNum">      50 </span>            :     {</a>
+<a name="51"><span class="lineNum">      51 </span>            :         // calloc function not available; use malloc and memset</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :         LG_TRY (LAGraph_Malloc (p, nitems, size_of_item, msg)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :         memset (*p, 0, size) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     }</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            :     // use the calloc function</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">       2546 :     (*p) = LAGraph_Calloc_function (nitems, size_of_item) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">       2546 :     return (((*p) == NULL) ? GrB_OUT_OF_MEMORY : GrB_SUCCESS) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_CheckGraph.c.func-sort-c.html b/src/utility/LAGraph_CheckGraph.c.func-sort-c.html
new file mode 100644
index 0000000000..056c4b3fbb
--- /dev/null
+++ b/src/utility/LAGraph_CheckGraph.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_CheckGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_CheckGraph.c<span style="font-size: 80%;"> (<a href="LAGraph_CheckGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_CheckGraph.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_CheckGraph.c.gcov.html#18">LAGraph_CheckGraph</a></td>
+              <td class="coverFnHi">33187</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_CheckGraph.c.func.html b/src/utility/LAGraph_CheckGraph.c.func.html
new file mode 100644
index 0000000000..348a7aa619
--- /dev/null
+++ b/src/utility/LAGraph_CheckGraph.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_CheckGraph.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_CheckGraph.c<span style="font-size: 80%;"> (<a href="LAGraph_CheckGraph.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_CheckGraph.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_CheckGraph.c.gcov.html#18">LAGraph_CheckGraph</a></td>
+              <td class="coverFnHi">33187</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_CheckGraph.c.gcov.html b/src/utility/LAGraph_CheckGraph.c.gcov.html
new file mode 100644
index 0000000000..25ee14a2ce
--- /dev/null
+++ b/src/utility/LAGraph_CheckGraph.c.gcov.html
@@ -0,0 +1,193 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_CheckGraph.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_CheckGraph.c<span style="font-size: 80%;"> (source / <a href="LAGraph_CheckGraph.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntry">33</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_CheckGraph: check if a graph is valid</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">      33187 : int LAGraph_CheckGraph</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input/output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Graph G,    // graph to check</a>
+<a name="24"><span class="lineNum">      24 </span>            :     char *msg</a>
+<a name="25"><span class="lineNum">      25 </span>            : )</a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // clear the msg and check basic components</a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">      33187 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">      33172 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">      33172 :     LAGraph_Kind kind = G-&gt;kind ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // ensure the matrix is square for directed or undirected graphs</a>
+<a name="38"><span class="lineNum">      38 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">      33172 :     if (kind == LAGraph_ADJACENCY_UNDIRECTED ||</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :         kind == LAGraph_ADJACENCY_DIRECTED)</a>
+<a name="43"><span class="lineNum">      43 </span>            :     {</a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">      33172 :         GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">      33172 :         GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">      33172 :         LG_ASSERT_MSG (nrows == ncols, LAGRAPH_INVALID_GRAPH,</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :             &quot;adjacency matrix must be square&quot;) ;</a>
+<a name="48"><span class="lineNum">      48 </span>            :     }</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="51"><span class="lineNum">      51 </span>            :         // only by-row format is supported when using SuiteSparse</a>
+<a name="52"><span class="lineNum">      52 </span>            :         GxB_Format_Value fmt ;</a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">      33171 :         GRB_TRY (GxB_get (A, GxB_FORMAT, &amp;fmt)) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">      33171 :         LG_ASSERT_MSG (fmt == GxB_BY_ROW, LAGRAPH_INVALID_GRAPH,</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :             &quot;only by-row format supported&quot;) ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :     #endif</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            :     // check the cached properties</a>
+<a name="60"><span class="lineNum">      60 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">      33170 :     GrB_Matrix AT = G-&gt;AT ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">      33170 :     if (AT != NULL)</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span>            :         GrB_Index nrows2, ncols2;</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       6464 :         GRB_TRY (GrB_Matrix_nrows (&amp;nrows2, AT)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">       6458 :         GRB_TRY (GrB_Matrix_ncols (&amp;ncols2, AT)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">       6458 :         LG_ASSERT_MSG (nrows == ncols2 &amp;&amp; ncols == nrows2,</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :             LAGRAPH_INVALID_GRAPH, &quot;G-&gt;AT matrix has the wrong dimensions&quot;) ;</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :         #if LAGRAPH_SUITESPARSE</a>
+<a name="72"><span class="lineNum">      72 </span>            :             // only by-row format is supported when using SuiteSparse</a>
+<a name="73"><span class="lineNum">      73 </span>            :             GxB_Format_Value fmt ;</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">       6456 :             GRB_TRY (GxB_get (AT, GxB_FORMAT, &amp;fmt)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">       6456 :             LG_ASSERT_MSG (fmt == GxB_BY_ROW,</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :                 LAGRAPH_INVALID_GRAPH, &quot;only by-row format supported&quot;) ;</a>
+<a name="77"><span class="lineNum">      77 </span>            :         #endif</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :         // ensure the types of A and AT are the same</a>
+<a name="80"><span class="lineNum">      80 </span>            :         char atype [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="81"><span class="lineNum">      81 </span>            :         char ttype [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       6454 :         LG_TRY (LAGraph_Matrix_TypeName (atype, A, msg)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">       6454 :         LG_TRY (LAGraph_Matrix_TypeName (ttype, AT, msg)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">       6454 :         LG_ASSERT_MSG (MATCHNAME (atype, ttype),</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :             LAGRAPH_INVALID_GRAPH, &quot;A and AT must have the same type&quot;) ;</a>
+<a name="86"><span class="lineNum">      86 </span>            :     }</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">      33164 :     GrB_Vector out_degree = G-&gt;out_degree ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">      33164 :     if (out_degree != NULL)</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     {</a>
+<a name="91"><span class="lineNum">      91 </span>            :         GrB_Index m ;</a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">      17444 :         GRB_TRY (GrB_Vector_size (&amp;m, out_degree)) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">      17442 :         LG_ASSERT_MSG (m == nrows, LAGRAPH_INVALID_GRAPH,</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :             &quot;out_degree invalid size&quot;) ;</a>
+<a name="95"><span class="lineNum">      95 </span>            :         char rtype [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">      17441 :         LG_TRY (LAGraph_Vector_TypeName (rtype, out_degree, msg)) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">      17441 :         LG_ASSERT_MSG (MATCHNAME (rtype, &quot;int64_t&quot;),</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :             LAGRAPH_INVALID_GRAPH,</a>
+<a name="99"><span class="lineNum">      99 </span>            :             &quot;out_degree has wrong type; must be GrB_INT64&quot;) ;</a>
+<a name="100"><span class="lineNum">     100 </span>            :     }</a>
+<a name="101"><span class="lineNum">     101 </span>            : </a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">      33162 :     GrB_Vector in_degree = G-&gt;in_degree ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">      33162 :     if (in_degree != NULL)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            :         GrB_Index n ;</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">       6274 :         GRB_TRY (GrB_Vector_size (&amp;n, in_degree)) ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">       6272 :         LG_ASSERT_MSG (n == ncols, LAGRAPH_INVALID_GRAPH,</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :             &quot;in_degree invalid size&quot;) ;</a>
+<a name="109"><span class="lineNum">     109 </span>            :         char ctype [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">       6271 :         LG_TRY (LAGraph_Vector_TypeName (ctype, in_degree, msg)) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">       6271 :         LG_ASSERT_MSG (MATCHNAME (ctype, &quot;int64_t&quot;),</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :             LAGRAPH_INVALID_GRAPH,</a>
+<a name="113"><span class="lineNum">     113 </span>            :             &quot;in_degree has wrong type; must be GrB_INT64&quot;) ;</a>
+<a name="114"><span class="lineNum">     114 </span>            :     }</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">      33160 :     return (GrB_SUCCESS) ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Delete.c.func-sort-c.html b/src/utility/LAGraph_Delete.c.func-sort-c.html
new file mode 100644
index 0000000000..7595669df5
--- /dev/null
+++ b/src/utility/LAGraph_Delete.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Delete.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Delete.c<span style="font-size: 80%;"> (<a href="LAGraph_Delete.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Delete.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Delete.c.gcov.html#18">LAGraph_Delete</a></td>
+              <td class="coverFnHi">1136</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Delete.c.func.html b/src/utility/LAGraph_Delete.c.func.html
new file mode 100644
index 0000000000..504737995c
--- /dev/null
+++ b/src/utility/LAGraph_Delete.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Delete.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Delete.c<span style="font-size: 80%;"> (<a href="LAGraph_Delete.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Delete.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Delete.c.gcov.html#18">LAGraph_Delete</a></td>
+              <td class="coverFnHi">1136</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Delete.c.gcov.html b/src/utility/LAGraph_Delete.c.gcov.html
new file mode 100644
index 0000000000..8ba8321dc5
--- /dev/null
+++ b/src/utility/LAGraph_Delete.c.gcov.html
@@ -0,0 +1,132 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Delete.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Delete.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Delete.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Delete: deletes a graph and all its contents</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">       1136 : int LAGraph_Delete</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input/output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Graph *G,   // the graph to delete; G set to NULL on output.</a>
+<a name="24"><span class="lineNum">      24 </span>            :                         // All internal GrB_Matrix and GrB_Vector objects are</a>
+<a name="25"><span class="lineNum">      25 </span>            :                         // freed, including G-&gt;A.  To keep G-&gt;A while deleting</a>
+<a name="26"><span class="lineNum">      26 </span>            :                         // the graph G, use:</a>
+<a name="27"><span class="lineNum">      27 </span>            :                         // { A = G-&gt;A ; G-&gt;A = NULL ; LAGraph_Delete (&amp;G, msg);}</a>
+<a name="28"><span class="lineNum">      28 </span>            :     char *msg</a>
+<a name="29"><span class="lineNum">      29 </span>            : )</a>
+<a name="30"><span class="lineNum">      30 </span>            : {</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // check inputs</a>
+<a name="34"><span class="lineNum">      34 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">       1136 :     LG_CLEAR_MSG ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">       1136 :     if (G == NULL || (*G) == NULL)</span></a>
+<a name="38"><span class="lineNum">      38 </span>            :     {</a>
+<a name="39"><span class="lineNum">      39 </span>            :         // success: nothing to do</a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">          3 :         return (GrB_SUCCESS) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :     }</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // free the cached contents of the graph</a>
+<a name="45"><span class="lineNum">      45 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">       1133 :     LG_TRY (LAGraph_DeleteCached (*G, msg)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // delete the primary contents of the graph, and the graph itself</a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">       1133 :     GRB_TRY (GrB_free (&amp;((*G)-&gt;A))) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">       1133 :     LAGraph_Free ((void **) G, NULL) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">       1133 :     return (GrB_SUCCESS) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteCached.c.func-sort-c.html b/src/utility/LAGraph_DeleteCached.c.func-sort-c.html
new file mode 100644
index 0000000000..78b6ba3394
--- /dev/null
+++ b/src/utility/LAGraph_DeleteCached.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteCached.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteCached.c<span style="font-size: 80%;"> (<a href="LAGraph_DeleteCached.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_DeleteCached.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_DeleteCached.c.gcov.html#18">LAGraph_DeleteCached</a></td>
+              <td class="coverFnHi">1527</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteCached.c.func.html b/src/utility/LAGraph_DeleteCached.c.func.html
new file mode 100644
index 0000000000..8607245e54
--- /dev/null
+++ b/src/utility/LAGraph_DeleteCached.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteCached.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteCached.c<span style="font-size: 80%;"> (<a href="LAGraph_DeleteCached.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_DeleteCached.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_DeleteCached.c.gcov.html#18">LAGraph_DeleteCached</a></td>
+              <td class="coverFnHi">1527</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteCached.c.gcov.html b/src/utility/LAGraph_DeleteCached.c.gcov.html
new file mode 100644
index 0000000000..ab82c1f0f9
--- /dev/null
+++ b/src/utility/LAGraph_DeleteCached.c.gcov.html
@@ -0,0 +1,137 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteCached.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteCached.c<span style="font-size: 80%;"> (source / <a href="LAGraph_DeleteCached.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_DeleteCached: deletes the cached properties of a graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">       1527 : int LAGraph_DeleteCached</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input/output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Graph G,    // G stays valid, only cached properties are freed</a>
+<a name="24"><span class="lineNum">      24 </span>            :     char *msg</a>
+<a name="25"><span class="lineNum">      25 </span>            : )</a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // check inputs</a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">       1527 :     LG_CLEAR_MSG ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">       1527 :     if (G == NULL)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :     {</a>
+<a name="35"><span class="lineNum">      35 </span>            :         // success: nothing to do</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          6 :         return (GrB_SUCCESS) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            :     }</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // free all cached properties of the graph</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">       1521 :     GRB_TRY (GrB_free (&amp;(G-&gt;AT))) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">       1521 :     GRB_TRY (GrB_free (&amp;(G-&gt;out_degree))) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">       1521 :     GRB_TRY (GrB_free (&amp;(G-&gt;in_degree))) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">       1521 :     GRB_TRY (GrB_free (&amp;(G-&gt;emin))) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">       1521 :     GRB_TRY (GrB_free (&amp;(G-&gt;emax))) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // clear the cached scalar properties of the graph</a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">       1521 :     G-&gt;is_symmetric_structure =</span></a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">       1521 :         (G-&gt;kind == LAGraph_ADJACENCY_UNDIRECTED)</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :         ? LAGraph_TRUE</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">       1521 :         : LAGRAPH_UNKNOWN ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">       1521 :     G-&gt;emin_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">       1521 :     G-&gt;emax_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">       1521 :     G-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">       1521 :     return (GrB_SUCCESS) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteSelfEdges.c.func-sort-c.html b/src/utility/LAGraph_DeleteSelfEdges.c.func-sort-c.html
new file mode 100644
index 0000000000..690c66f1e2
--- /dev/null
+++ b/src/utility/LAGraph_DeleteSelfEdges.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteSelfEdges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteSelfEdges.c<span style="font-size: 80%;"> (<a href="LAGraph_DeleteSelfEdges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_DeleteSelfEdges.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_DeleteSelfEdges.c.gcov.html#18">LAGraph_DeleteSelfEdges</a></td>
+              <td class="coverFnHi">45</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteSelfEdges.c.func.html b/src/utility/LAGraph_DeleteSelfEdges.c.func.html
new file mode 100644
index 0000000000..f1c6887273
--- /dev/null
+++ b/src/utility/LAGraph_DeleteSelfEdges.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteSelfEdges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteSelfEdges.c<span style="font-size: 80%;"> (<a href="LAGraph_DeleteSelfEdges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_DeleteSelfEdges.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_DeleteSelfEdges.c.gcov.html#18">LAGraph_DeleteSelfEdges</a></td>
+              <td class="coverFnHi">45</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_DeleteSelfEdges.c.gcov.html b/src/utility/LAGraph_DeleteSelfEdges.c.gcov.html
new file mode 100644
index 0000000000..04627a4238
--- /dev/null
+++ b/src/utility/LAGraph_DeleteSelfEdges.c.gcov.html
@@ -0,0 +1,135 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_DeleteSelfEdges.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_DeleteSelfEdges.c<span style="font-size: 80%;"> (source / <a href="LAGraph_DeleteSelfEdges.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_DeleteSelfEdges: removes the diagonal entries from G-&gt;A</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">         45 : int LAGraph_DeleteSelfEdges</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input/output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     LAGraph_Graph G,    // diagonal entries removed, most cached properties cleared</a>
+<a name="24"><span class="lineNum">      24 </span>            :     char *msg</a>
+<a name="25"><span class="lineNum">      25 </span>            : )</a>
+<a name="26"><span class="lineNum">      26 </span>            : {</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // clear msg and check G</a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">         45 :     LG_CLEAR_MSG_AND_BASIC_ASSERT (G, msg) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">         45 :     if (G-&gt;nself_edges == 0)</span></a>
+<a name="34"><span class="lineNum">      34 </span>            :     {</a>
+<a name="35"><span class="lineNum">      35 </span>            :         // nothing to do</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">          9 :         return (GrB_SUCCESS) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            :     }</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // delete all cached properties not affected by the removal of the diagonal</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">         36 :     LAGraph_Boolean is_symmetric_structure = G-&gt;is_symmetric_structure ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">         36 :     LG_TRY (LAGraph_DeleteCached (G, msg)) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">         36 :     G-&gt;is_symmetric_structure = is_symmetric_structure ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // remove diagonal entries</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">         36 :     GRB_TRY (GrB_select (G-&gt;A, NULL, NULL, GrB_OFFDIAG, G-&gt;A, 0, NULL)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            :     // free workspace, G-&gt;nself_edges now known to be zero</a>
+<a name="55"><span class="lineNum">      55 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         36 :     G-&gt;nself_edges = 0 ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">         36 :     return (GrB_SUCCESS) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Finalize.c.func-sort-c.html b/src/utility/LAGraph_Finalize.c.func-sort-c.html
new file mode 100644
index 0000000000..f25b82dd04
--- /dev/null
+++ b/src/utility/LAGraph_Finalize.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Finalize.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Finalize.c<span style="font-size: 80%;"> (<a href="LAGraph_Finalize.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Finalize.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Finalize.c.gcov.html#18">LAGraph_Finalize</a></td>
+              <td class="coverFnHi">224</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Finalize.c.func.html b/src/utility/LAGraph_Finalize.c.func.html
new file mode 100644
index 0000000000..56da0a4416
--- /dev/null
+++ b/src/utility/LAGraph_Finalize.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Finalize.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Finalize.c<span style="font-size: 80%;"> (<a href="LAGraph_Finalize.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Finalize.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Finalize.c.gcov.html#18">LAGraph_Finalize</a></td>
+              <td class="coverFnHi">224</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Finalize.c.gcov.html b/src/utility/LAGraph_Finalize.c.gcov.html
new file mode 100644
index 0000000000..1e9d4a829a
--- /dev/null
+++ b/src/utility/LAGraph_Finalize.c.gcov.html
@@ -0,0 +1,160 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Finalize.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Finalize.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Finalize.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntry">45</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Finalize: finish LAGraph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">        224 : int LAGraph_Finalize (char *msg)</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : {</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // check inputs</a>
+<a name="25"><span class="lineNum">      25 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span><span class="lineCov">        224 :     LG_CLEAR_MSG ;</span></a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // free global objects</a>
+<a name="31"><span class="lineNum">      31 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_int8  )) ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_int16 )) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_int32 )) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_int64 )) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_uint8 )) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_uint16)) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_uint32)) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_uint64)) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_fp32  )) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_first_fp64  )) ;</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_int8  )) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_int16 )) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_int32 )) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_int64 )) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_uint8 )) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_uint16)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_uint32)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_uint64)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_fp32  )) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_second_fp64  )) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_int8  )) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_int16 )) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_int32 )) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_int64 )) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_uint8 )) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_uint16)) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_uint32)) ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_uint64)) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_fp32  )) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_plus_one_fp64  )) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_bool  )) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_int8  )) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_int16 )) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_int32 )) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_int64 )) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_uint8 )) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_uint16)) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_uint32)) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_uint64)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_fp32  )) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        224 :     GRB_TRY (GrB_Semiring_free (&amp;LAGraph_any_one_fp64  )) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // finalize GraphBLAS</a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">        224 :     GRB_TRY (GrB_finalize ( )) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        224 :     return (GrB_SUCCESS) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Free.c.func-sort-c.html b/src/utility/LAGraph_Free.c.func-sort-c.html
new file mode 100644
index 0000000000..fc744c1b95
--- /dev/null
+++ b/src/utility/LAGraph_Free.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Free.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Free.c<span style="font-size: 80%;"> (<a href="LAGraph_Free.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Free.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Free.c.gcov.html#21">LAGraph_Free</a></td>
+              <td class="coverFnHi">46008</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Free.c.func.html b/src/utility/LAGraph_Free.c.func.html
new file mode 100644
index 0000000000..57b018d697
--- /dev/null
+++ b/src/utility/LAGraph_Free.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Free.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Free.c<span style="font-size: 80%;"> (<a href="LAGraph_Free.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Free.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Free.c.gcov.html#21">LAGraph_Free</a></td>
+              <td class="coverFnHi">46008</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Free.c.gcov.html b/src/utility/LAGraph_Free.c.gcov.html
new file mode 100644
index 0000000000..dbe69934ad
--- /dev/null
+++ b/src/utility/LAGraph_Free.c.gcov.html
@@ -0,0 +1,115 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Free.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Free.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Free.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Free:  wrapper for free</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Free frees a block of memory obtained by LAGraph_Malloc.  It does</a>
+<a name="19"><span class="lineNum">      19 </span>            : // nothing if p is NULL.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">      46008 : int LAGraph_Free            // free a block of memory and set p to NULL</span></a>
+<a name="24"><span class="lineNum">      24 </span>            : (</a>
+<a name="25"><span class="lineNum">      25 </span>            :     // input/output:</a>
+<a name="26"><span class="lineNum">      26 </span>            :     void **p,               // pointer to object to free, does nothing if NULL</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char *msg</a>
+<a name="28"><span class="lineNum">      28 </span>            : )</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span><span class="lineCov">      46008 :     LG_CLEAR_MSG ;</span></a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">      46008 :     if (p != NULL &amp;&amp; (*p) != NULL)</span></a>
+<a name="33"><span class="lineNum">      33 </span>            :     {</a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">      28769 :         LAGraph_Free_function (*p) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">      28769 :         (*p) = NULL ;</span></a>
+<a name="36"><span class="lineNum">      36 </span>            :     }</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">      46008 :     return (GrB_SUCCESS) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_GetNumThreads.c.func-sort-c.html b/src/utility/LAGraph_GetNumThreads.c.func-sort-c.html
new file mode 100644
index 0000000000..7ff6538a4c
--- /dev/null
+++ b/src/utility/LAGraph_GetNumThreads.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_GetNumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_GetNumThreads.c<span style="font-size: 80%;"> (<a href="LAGraph_GetNumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_GetNumThreads.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_GetNumThreads.c.gcov.html#20">LAGraph_GetNumThreads</a></td>
+              <td class="coverFnHi">113</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_GetNumThreads.c.func.html b/src/utility/LAGraph_GetNumThreads.c.func.html
new file mode 100644
index 0000000000..961e8f42c7
--- /dev/null
+++ b/src/utility/LAGraph_GetNumThreads.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_GetNumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_GetNumThreads.c<span style="font-size: 80%;"> (<a href="LAGraph_GetNumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_GetNumThreads.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_GetNumThreads.c.gcov.html#20">LAGraph_GetNumThreads</a></td>
+              <td class="coverFnHi">113</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_GetNumThreads.c.gcov.html b/src/utility/LAGraph_GetNumThreads.c.gcov.html
new file mode 100644
index 0000000000..9edd3fef86
--- /dev/null
+++ b/src/utility/LAGraph_GetNumThreads.c.gcov.html
@@ -0,0 +1,122 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_GetNumThreads.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_GetNumThreads.c<span style="font-size: 80%;"> (source / <a href="LAGraph_GetNumThreads.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_GetNumThreads: get the # of threads to use</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_get_nthreads: get # of threads that will be used by LAGraph.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span><span class="lineCov">        113 : int LAGraph_GetNumThreads</span></a>
+<a name="23"><span class="lineNum">      23 </span>            : (</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // output:</a>
+<a name="25"><span class="lineNum">      25 </span>            :     int *nthreads_outer,</a>
+<a name="26"><span class="lineNum">      26 </span>            :     int *nthreads_inner,</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char *msg</a>
+<a name="28"><span class="lineNum">      28 </span>            : )</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            :     // check inputs</a>
+<a name="33"><span class="lineNum">      33 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        113 :     LG_CLEAR_MSG ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">        113 :     LG_ASSERT (nthreads_outer != NULL &amp;&amp; nthreads_inner != NULL,</span></a>
+<a name="37"><span class="lineNum">      37 </span>            :         GrB_NULL_POINTER) ;</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // get number of threads</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        112 :     (*nthreads_outer) = LG_nthreads_outer ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        112 :     (*nthreads_inner) = LG_nthreads_inner ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        112 :     return (GrB_SUCCESS) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Graph_Print.c.func-sort-c.html b/src/utility/LAGraph_Graph_Print.c.func-sort-c.html
new file mode 100644
index 0000000000..dd0bba440a
--- /dev/null
+++ b/src/utility/LAGraph_Graph_Print.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Graph_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Graph_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Graph_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Graph_Print.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Graph_Print.c.gcov.html#18">LAGraph_Graph_Print</a></td>
+              <td class="coverFnHi">350</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Graph_Print.c.func.html b/src/utility/LAGraph_Graph_Print.c.func.html
new file mode 100644
index 0000000000..30bf3c330c
--- /dev/null
+++ b/src/utility/LAGraph_Graph_Print.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Graph_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Graph_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Graph_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Graph_Print.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Graph_Print.c.gcov.html#18">LAGraph_Graph_Print</a></td>
+              <td class="coverFnHi">350</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Graph_Print.c.gcov.html b/src/utility/LAGraph_Graph_Print.c.gcov.html
new file mode 100644
index 0000000000..405b04efa0
--- /dev/null
+++ b/src/utility/LAGraph_Graph_Print.c.gcov.html
@@ -0,0 +1,182 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Graph_Print.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Graph_Print.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Graph_Print.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Graph_Print: print the contents of a graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">        350 : int LAGraph_Graph_Print</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     const LAGraph_Graph G,  // graph to display</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_PrintLevel pr,  // print level (0 to 5)</a>
+<a name="25"><span class="lineNum">      25 </span>            :     FILE *f,                // file to write to, must already be open</a>
+<a name="26"><span class="lineNum">      26 </span>            :     char *msg</a>
+<a name="27"><span class="lineNum">      27 </span>            : )</a>
+<a name="28"><span class="lineNum">      28 </span>            : {</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // clear the msg and check the graph</a>
+<a name="32"><span class="lineNum">      32 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">        350 :     LG_CLEAR_MSG ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">        350 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">        350 :     LG_TRY (LAGraph_CheckGraph (G, msg)) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">        345 :     int prl = (int) pr ;</span></a>
+<a name="38"><span class="lineNum">      38 </span><span class="lineCov">        345 :     prl = LAGRAPH_MAX (prl, 0) ;</span></a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">        345 :     prl = LAGRAPH_MIN (prl, 5) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        345 :     if (prl == 0) return (GrB_SUCCESS) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // display the primary graph components</a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">        329 :     GrB_Matrix A = G-&gt;A ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        329 :     LAGraph_Kind kind = G-&gt;kind ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     GrB_Index n, nvals ;</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        329 :     GRB_TRY (GrB_Matrix_nrows (&amp;n, A)) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">        329 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            :     char typename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="53"><span class="lineNum">      53 </span>            :     char kindname [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        329 :     LG_TRY (LAGraph_Matrix_TypeName (typename, A, msg)) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        329 :     LG_TRY (LG_KindName (kindname, kind, msg)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            :     // print the basic cached scalar properties</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        329 :     FPRINTF (f, &quot;Graph: kind: %s, nodes: %g entries: %g type: %s\n&quot;,</span></a>
+<a name="59"><span class="lineNum">      59 </span>            :         kindname, (double)n, (double)nvals, typename) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     // print the scalar cached properties</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        329 :     FPRINTF (f, &quot;  structural symmetry: &quot;) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        329 :     switch (G-&gt;is_symmetric_structure)</span></a>
+<a name="64"><span class="lineNum">      64 </span>            :     {</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        128 :         case LAGraph_FALSE : FPRINTF (f, &quot;unsymmetric&quot;) ; break ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">        154 :         case LAGraph_TRUE  : FPRINTF (f, &quot;symmetric&quot;)   ; break ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">         47 :         default            : FPRINTF (f, &quot;unknown&quot;)     ; break ;</span></a>
+<a name="68"><span class="lineNum">      68 </span>            :     }</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        329 :     if (G-&gt;nself_edges &gt;= 0)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">         84 :         FPRINTF (f, &quot;  self-edges: %g&quot;, (double) G-&gt;nself_edges) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     }</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">        329 :     FPRINTF (f, &quot;\n&quot;) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">        329 :     FPRINTF (f, &quot;  adjacency matrix: &quot;) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        329 :     LAGraph_PrintLevel pr2 = (LAGraph_PrintLevel) prl ;</span></a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">        329 :     LG_TRY (LAGraph_Matrix_Print (A, pr2, stdout, msg)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // display the cached properties</a>
+<a name="82"><span class="lineNum">      82 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        269 :     GrB_Matrix AT = G-&gt;AT ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        269 :     if (AT != NULL)</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     {</a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">        172 :         FPRINTF (f, &quot;  adjacency matrix transposed: &quot;) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        172 :         LG_TRY (LAGraph_Matrix_Print (AT, pr2, stdout, msg)) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     }</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        247 :     GrB_Vector out_degree = G-&gt;out_degree ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        247 :     if (out_degree != NULL)</span></a>
+<a name="93"><span class="lineNum">      93 </span>            :     {</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        181 :         FPRINTF (f, &quot;  out degree: &quot;) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        181 :         LG_TRY (LAGraph_Vector_Print (out_degree, pr2, stdout, msg)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     }</a>
+<a name="97"><span class="lineNum">      97 </span>            : </a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        247 :     GrB_Vector in_degree = G-&gt;in_degree ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        247 :     if (in_degree != NULL)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">        125 :         FPRINTF (f, &quot;  in degree: &quot;) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        125 :         LG_TRY (LAGraph_Vector_Print (in_degree, pr2, stdout, msg)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :     }</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">        247 :     return (GrB_SUCCESS) ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Init.c.func-sort-c.html b/src/utility/LAGraph_Init.c.func-sort-c.html
new file mode 100644
index 0000000000..a4a6d37809
--- /dev/null
+++ b/src/utility/LAGraph_Init.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Init.c<span style="font-size: 80%;"> (<a href="LAGraph_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Init.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Init.c.gcov.html#18">LAGraph_Init</a></td>
+              <td class="coverFnHi">101</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Init.c.func.html b/src/utility/LAGraph_Init.c.func.html
new file mode 100644
index 0000000000..883079d212
--- /dev/null
+++ b/src/utility/LAGraph_Init.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Init.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Init.c<span style="font-size: 80%;"> (<a href="LAGraph_Init.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Init.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Init.c.gcov.html#18">LAGraph_Init</a></td>
+              <td class="coverFnHi">101</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Init.c.gcov.html b/src/utility/LAGraph_Init.c.gcov.html
new file mode 100644
index 0000000000..1fcadd5ce4
--- /dev/null
+++ b/src/utility/LAGraph_Init.c.gcov.html
@@ -0,0 +1,103 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Init.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Init.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Init.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Init: start GraphBLAS and LAGraph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">        101 : int LAGraph_Init (char *msg)</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : {</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">        101 :     LG_CLEAR_MSG ;</span></a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            :     // use GraphBLAS nonblocking mode, and ANSI C memory allocation functions</a>
+<a name="26"><span class="lineNum">      26 </span><span class="lineCov">        101 :     return (LAGr_Init (GrB_NONBLOCKING, malloc, calloc, realloc, free, msg)) ;</span></a>
+<a name="27"><span class="lineNum">      27 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMRead.c.func-sort-c.html b/src/utility/LAGraph_MMRead.c.func-sort-c.html
new file mode 100644
index 0000000000..66b1efd622
--- /dev/null
+++ b/src/utility/LAGraph_MMRead.c.func-sort-c.html
@@ -0,0 +1,100 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMRead.c<span style="font-size: 80%;"> (<a href="LAGraph_MMRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_MMRead.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#314">negate_scalar</a></td>
+              <td class="coverFnHi">1340</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#394">LAGraph_MMRead</a></td>
+              <td class="coverFnHi">1974</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#133">read_double</a></td>
+              <td class="coverFnHi">3157602</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#168">read_entry</a></td>
+              <td class="coverFnHi">4054330</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#88">is_blank_line</a></td>
+              <td class="coverFnHi">4061578</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#53">get_line</a></td>
+              <td class="coverFnHi">4065091</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#372">set_value</a></td>
+              <td class="coverFnHi">6291344</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMRead.c.func.html b/src/utility/LAGraph_MMRead.c.func.html
new file mode 100644
index 0000000000..1e667fcc71
--- /dev/null
+++ b/src/utility/LAGraph_MMRead.c.func.html
@@ -0,0 +1,100 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMRead.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMRead.c<span style="font-size: 80%;"> (<a href="LAGraph_MMRead.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_MMRead.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#394">LAGraph_MMRead</a></td>
+              <td class="coverFnHi">1974</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#53">get_line</a></td>
+              <td class="coverFnHi">4065091</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#88">is_blank_line</a></td>
+              <td class="coverFnHi">4061578</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#314">negate_scalar</a></td>
+              <td class="coverFnHi">1340</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#133">read_double</a></td>
+              <td class="coverFnHi">3157602</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#168">read_entry</a></td>
+              <td class="coverFnHi">4054330</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMRead.c.gcov.html#372">set_value</a></td>
+              <td class="coverFnHi">6291344</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMRead.c.gcov.html b/src/utility/LAGraph_MMRead.c.gcov.html
new file mode 100644
index 0000000000..6efd6aaccf
--- /dev/null
+++ b/src/utility/LAGraph_MMRead.c.gcov.html
@@ -0,0 +1,1127 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMRead.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMRead.c<span style="font-size: 80%;"> (source / <a href="LAGraph_MMRead.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntry">332</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntry">7</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_MMRead: read a matrix from a Matrix Market file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_MMRead: read a matrix from a Matrix Market file</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // Parts of this code are from SuiteSparse/CHOLMOD/Check/cholmod_read.c, and</a>
+<a name="21"><span class="lineNum">      21 </span>            : // are used here by permission of the author of CHOLMOD/Check (T. A. Davis).</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // The Matrix Market format is described at:</a>
+<a name="24"><span class="lineNum">      24 </span>            : // https://math.nist.gov/MatrixMarket/formats.html</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : // Return values:</a>
+<a name="27"><span class="lineNum">      27 </span>            : //  GrB_SUCCESS: input file and output matrix are valid</a>
+<a name="28"><span class="lineNum">      28 </span>            : //  LAGRAPH_IO_ERROR: the input file cannot be read or has invalid content</a>
+<a name="29"><span class="lineNum">      29 </span>            : //  GrB_NULL_POINTER:  A or f are NULL on input</a>
+<a name="30"><span class="lineNum">      30 </span>            : //  GrB_NOT_IMPLEMENTED: complex types not yet supported</a>
+<a name="31"><span class="lineNum">      31 </span>            : //  other: return values directly from GrB_* methods</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="34"><span class="lineNum">      34 </span>            : {                                       \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ; \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     LAGraph_Free ((void **) &amp;J, NULL) ; \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     LAGraph_Free ((void **) &amp;X, NULL) ; \</a>
+<a name="38"><span class="lineNum">      38 </span>            : }</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_FREE_ALL                     \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                                       \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     LG_FREE_WORK ;                      \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     GrB_free (A) ;                      \</a>
+<a name="44"><span class="lineNum">      44 </span>            : }</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // get_line</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : // Read one line of the file, return true if successful, false if EOF.</a>
+<a name="53"><span class="lineNum">      53 </span>            : // The string is returned in buf, converted to lower case.</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">    4065091 : static inline bool get_line</span></a>
+<a name="56"><span class="lineNum">      56 </span>            : (</a>
+<a name="57"><span class="lineNum">      57 </span>            :     FILE *f,        // file open for reading</a>
+<a name="58"><span class="lineNum">      58 </span>            :     char *buf       // size MAXLINE+1</a>
+<a name="59"><span class="lineNum">      59 </span>            : )</a>
+<a name="60"><span class="lineNum">      60 </span>            : {</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     // check inputs</a>
+<a name="63"><span class="lineNum">      63 </span>            :     ASSERT (f != NULL) ;</a>
+<a name="64"><span class="lineNum">      64 </span>            :     ASSERT (buf != NULL) ;</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     // read the line from the file</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">    4065091 :     buf [0] = '\0' ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">    4065091 :     buf [1] = '\0' ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">    4065091 :     if (fgets (buf, MAXLINE, f) == NULL)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span>            :         // EOF or other I/O error</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :         return (false) ;</span></a>
+<a name="73"><span class="lineNum">      73 </span>            :     }</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">    4065090 :     buf [MAXLINE] = '\0' ;</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :     // convert the string to lower case</a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">   75762804 :     for (int k = 0 ; k &lt; MAXLINE &amp;&amp; buf [k] != '\0' ; k++)</span></a>
+<a name="78"><span class="lineNum">      78 </span>            :     {</a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">   71697714 :         buf [k] = tolower (buf [k]) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span>            :     }</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">    4065090 :     return (true) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span>            : }</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            : //------------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            : // is_blank_line</a>
+<a name="86"><span class="lineNum">      86 </span>            : //------------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            : // returns true if buf is a blank line or comment, false otherwise.</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">    4061578 : static inline bool is_blank_line</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : (</a>
+<a name="92"><span class="lineNum">      92 </span>            :     char *buf       // size MAXLINE+1, never NULL</a>
+<a name="93"><span class="lineNum">      93 </span>            : )</a>
+<a name="94"><span class="lineNum">      94 </span>            : {</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     // check inputs</a>
+<a name="97"><span class="lineNum">      97 </span>            :     ASSERT (buf != NULL) ;</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            :     // check if comment line</a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">    4061578 :     if (buf [0] == '%')</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     {</a>
+<a name="102"><span class="lineNum">     102 </span>            :         // line is a comment</a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">       5256 :         return (true) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :     // check if blank line</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">    4056352 :     for (int k = 0 ; k &lt;= MAXLINE ; k++)</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :     {</a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">    4056352 :         int c = buf [k] ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">    4056352 :         if (c == '\0')</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :         {</a>
+<a name="112"><span class="lineNum">     112 </span>            :             // end of line</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         30 :             break ;</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :         }</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">    4056322 :         if (!isspace (c))</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :         {</a>
+<a name="117"><span class="lineNum">     117 </span>            :             // non-space character; this is not an error</a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">    4056292 :             return (false) ;</span></a>
+<a name="119"><span class="lineNum">     119 </span>            :         }</a>
+<a name="120"><span class="lineNum">     120 </span>            :     }</a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            :     // line is blank</a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">         30 :     return (true) ;</span></a>
+<a name="124"><span class="lineNum">     124 </span>            : }</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : // read_double</a>
+<a name="128"><span class="lineNum">     128 </span>            : //------------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span>            : // Read a single double value from a string.  The string may be any string</a>
+<a name="131"><span class="lineNum">     131 </span>            : // recognized by sscanf, or inf, -inf, +inf, or nan.  The token infinity is</a>
+<a name="132"><span class="lineNum">     132 </span>            : // also OK instead of inf (only the first 3 letters of inf* or nan* are</a>
+<a name="133"><span class="lineNum">     133 </span>            : // significant, and the rest are ignored).</a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span><span class="lineCov">    3157602 : static inline bool read_double      // true if successful, false if failure</span></a>
+<a name="136"><span class="lineNum">     136 </span>            : (</a>
+<a name="137"><span class="lineNum">     137 </span>            :     char *p,        // string containing the value</a>
+<a name="138"><span class="lineNum">     138 </span>            :     double *rval    // value to read in</a>
+<a name="139"><span class="lineNum">     139 </span>            : )</a>
+<a name="140"><span class="lineNum">     140 </span>            : {</a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">    3157602 :     while (*p &amp;&amp; isspace (*p)) p++ ;   // skip any spaces</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">    3157602 :     if (MATCH (p, &quot;inf&quot;, 3) || MATCH (p, &quot;+inf&quot;, 4))</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :     {</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">         96 :         (*rval) = INFINITY ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :     }</a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">    3157506 :     else if (MATCH (p, &quot;-inf&quot;, 4))</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :     {</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">         46 :         (*rval) = -INFINITY ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     }</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">    3157460 :     else if (MATCH (p, &quot;nan&quot;, 3))</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :     {</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">          4 :         (*rval) = NAN ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :     }</a>
+<a name="155"><span class="lineNum">     155 </span>            :     else</a>
+<a name="156"><span class="lineNum">     156 </span>            :     {</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">    3157456 :         if (sscanf (p, &quot;%lg&quot;, rval) != 1)</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :         {</a>
+<a name="159"><span class="lineNum">     159 </span>            :             // invalid file format, EOF, or other I/O error</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :         }</a>
+<a name="162"><span class="lineNum">     162 </span>            :     }</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">    3157601 :     return (true) ;</span></a>
+<a name="164"><span class="lineNum">     164 </span>            : }</a>
+<a name="165"><span class="lineNum">     165 </span>            : </a>
+<a name="166"><span class="lineNum">     166 </span>            : //------------------------------------------------------------------------------</a>
+<a name="167"><span class="lineNum">     167 </span>            : // read_entry: read a numerical value and typecast to the given type</a>
+<a name="168"><span class="lineNum">     168 </span>            : //------------------------------------------------------------------------------</a>
+<a name="169"><span class="lineNum">     169 </span>            : </a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">    4054330 : static inline bool read_entry   // returns true if successful, false if failure</span></a>
+<a name="171"><span class="lineNum">     171 </span>            : (</a>
+<a name="172"><span class="lineNum">     172 </span>            :     char *p,        // string containing the value</a>
+<a name="173"><span class="lineNum">     173 </span>            :     GrB_Type type,  // type of value to read</a>
+<a name="174"><span class="lineNum">     174 </span>            :     bool structural,   // if true, then the value is 1</a>
+<a name="175"><span class="lineNum">     175 </span>            :     uint8_t *x      // value read in, a pointer to space of size of the type</a>
+<a name="176"><span class="lineNum">     176 </span>            : )</a>
+<a name="177"><span class="lineNum">     177 </span>            : {</a>
+<a name="178"><span class="lineNum">     178 </span>            : </a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">    4054330 :     int64_t ival = 1 ;</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">    4054330 :     double rval = 1, zval = 0 ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">    4054330 :     while (*p &amp;&amp; isspace (*p)) p++ ;   // skip any spaces</span></a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">    4054330 :     if (type == GrB_BOOL)</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :     {</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">     767170 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">     767170 :         if (ival &lt; 0 || ival &gt; 1)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :         {</a>
+<a name="189"><span class="lineNum">     189 </span>            :             // entry out of range</a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="191"><span class="lineNum">     191 </span>            :         }</a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">     767169 :         bool *result = (bool *) x ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">     767169 :         result [0] = (bool) ival ;</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :     }</a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">    3287160 :     else if (type == GrB_INT8)</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :     {</a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">        511 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="198"><span class="lineNum">     198 </span><span class="lineCov">        511 :         if (ival &lt; INT8_MIN || ival &gt; INT8_MAX)</span></a>
+<a name="199"><span class="lineNum">     199 </span>            :         {</a>
+<a name="200"><span class="lineNum">     200 </span>            :             // entry out of range</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :         }</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">        510 :         int8_t *result = (int8_t *) x ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">        510 :         result [0] = (int8_t) ival ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            :     }</a>
+<a name="206"><span class="lineNum">     206 </span><span class="lineCov">    3286649 :     else if (type == GrB_INT16)</span></a>
+<a name="207"><span class="lineNum">     207 </span>            :     {</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        523 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        523 :         if (ival &lt; INT16_MIN || ival &gt; INT16_MAX)</span></a>
+<a name="210"><span class="lineNum">     210 </span>            :         {</a>
+<a name="211"><span class="lineNum">     211 </span>            :             // entry out of range</a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :         }</a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">        522 :         int16_t *result = (int16_t *) x ;</span></a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">        522 :         result [0] = (int16_t) ival ;</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :     }</a>
+<a name="217"><span class="lineNum">     217 </span><span class="lineCov">    3286126 :     else if (type == GrB_INT32)</span></a>
+<a name="218"><span class="lineNum">     218 </span>            :     {</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">       1603 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">       1603 :         if (ival &lt; INT32_MIN || ival &gt; INT32_MAX)</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :         {</a>
+<a name="222"><span class="lineNum">     222 </span>            :             // entry out of range</a>
+<a name="223"><span class="lineNum">     223 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="224"><span class="lineNum">     224 </span>            :         }</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">       1602 :         int32_t *result = (int32_t *) x ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">       1602 :         result [0] = (int32_t) ival ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            :     }</a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">    3284523 :     else if (type == GrB_INT64)</span></a>
+<a name="229"><span class="lineNum">     229 </span>            :     {</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">       3026 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">       3026 :         int64_t *result = (int64_t *) x ;</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">       3026 :         result [0] = (int64_t) ival ;</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :     }</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">    3281497 :     else if (type == GrB_UINT8)</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :     {</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        290 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">        290 :         if (ival &lt; 0 || ival &gt; UINT8_MAX)</span></a>
+<a name="238"><span class="lineNum">     238 </span>            :         {</a>
+<a name="239"><span class="lineNum">     239 </span>            :             // entry out of range</a>
+<a name="240"><span class="lineNum">     240 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="241"><span class="lineNum">     241 </span>            :         }</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">        289 :         uint8_t *result = (uint8_t *) x ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        289 :         result [0] = (uint8_t) ival ;</span></a>
+<a name="244"><span class="lineNum">     244 </span>            :     }</a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">    3281207 :     else if (type == GrB_UINT16)</span></a>
+<a name="246"><span class="lineNum">     246 </span>            :     {</a>
+<a name="247"><span class="lineNum">     247 </span><span class="lineCov">        290 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        290 :         if (ival &lt; 0 || ival &gt; UINT16_MAX)</span></a>
+<a name="249"><span class="lineNum">     249 </span>            :         {</a>
+<a name="250"><span class="lineNum">     250 </span>            :             // entry out of range</a>
+<a name="251"><span class="lineNum">     251 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="252"><span class="lineNum">     252 </span>            :         }</a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">        289 :         uint16_t *result = (uint16_t *) x ;</span></a>
+<a name="254"><span class="lineNum">     254 </span><span class="lineCov">        289 :         result [0] = (uint16_t) ival ;</span></a>
+<a name="255"><span class="lineNum">     255 </span>            :     }</a>
+<a name="256"><span class="lineNum">     256 </span><span class="lineCov">    3280917 :     else if (type == GrB_UINT32)</span></a>
+<a name="257"><span class="lineNum">     257 </span>            :     {</a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">        290 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNd64, &amp;ival) != 1) return (false) ;</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">        290 :         if (ival &lt; 0 || ival &gt; UINT32_MAX)</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :         {</a>
+<a name="261"><span class="lineNum">     261 </span>            :             // entry out of range</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">          1 :             return (false) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span>            :         }</a>
+<a name="264"><span class="lineNum">     264 </span><span class="lineCov">        289 :         uint32_t *result = (uint32_t *) x ;</span></a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">        289 :         result [0] = (uint32_t) ival ;</span></a>
+<a name="266"><span class="lineNum">     266 </span>            :     }</a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">    3280627 :     else if (type == GrB_UINT64)</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :     {</a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">        312 :         uint64_t uval = 1 ;</span></a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">        312 :         if (!structural &amp;&amp; sscanf (p, &quot;%&quot; SCNu64, &amp;uval) != 1) return (false) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        312 :         uint64_t *result = (uint64_t *) x ;</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        312 :         result [0] = (uint64_t) uval ;</span></a>
+<a name="273"><span class="lineNum">     273 </span>            :     }</a>
+<a name="274"><span class="lineNum">     274 </span><span class="lineCov">    3280315 :     else if (type == GrB_FP32)</span></a>
+<a name="275"><span class="lineNum">     275 </span>            :     {</a>
+<a name="276"><span class="lineNum">     276 </span><span class="lineCov">    1090459 :         if (!structural &amp;&amp; !read_double (p, &amp;rval)) return (false) ;</span></a>
+<a name="277"><span class="lineNum">     277 </span><span class="lineCov">    1090459 :         float *result = (float *) x ;</span></a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">    1090459 :         result [0] = (float) rval ;</span></a>
+<a name="279"><span class="lineNum">     279 </span>            :     }</a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">    2189856 :     else if (type == GrB_FP64)</span></a>
+<a name="281"><span class="lineNum">     281 </span>            :     {</a>
+<a name="282"><span class="lineNum">     282 </span><span class="lineCov">    2189856 :         if (!structural &amp;&amp; !read_double (p, &amp;rval)) return (false) ;</span></a>
+<a name="283"><span class="lineNum">     283 </span><span class="lineCov">    2189855 :         double *result = (double *) x ;</span></a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">    2189855 :         result [0] = rval ;</span></a>
+<a name="285"><span class="lineNum">     285 </span>            :     }</a>
+<a name="286"><span class="lineNum">     286 </span>            : #if 0</a>
+<a name="287"><span class="lineNum">     287 </span>            :     else if (type == GxB_FC32)</a>
+<a name="288"><span class="lineNum">     288 </span>            :     {</a>
+<a name="289"><span class="lineNum">     289 </span>            :         if (!structural &amp;&amp; !read_double (p, &amp;rval)) return (false) ;</a>
+<a name="290"><span class="lineNum">     290 </span>            :         while (*p &amp;&amp; !isspace (*p)) p++ ;   // skip real part</a>
+<a name="291"><span class="lineNum">     291 </span>            :         if (!structural &amp;&amp; !read_double (p, &amp;zval)) return (false) ;</a>
+<a name="292"><span class="lineNum">     292 </span>            :         float *result = (float *) x ;</a>
+<a name="293"><span class="lineNum">     293 </span>            :         result [0] = (float) rval ;     // real part</a>
+<a name="294"><span class="lineNum">     294 </span>            :         result [1] = (float) zval ;     // imaginary part</a>
+<a name="295"><span class="lineNum">     295 </span>            :     }</a>
+<a name="296"><span class="lineNum">     296 </span>            :     else if (type == GxB_FC64)</a>
+<a name="297"><span class="lineNum">     297 </span>            :     {</a>
+<a name="298"><span class="lineNum">     298 </span>            :         if (!structural &amp;&amp; !read_double (p, &amp;rval)) return (false) ;</a>
+<a name="299"><span class="lineNum">     299 </span>            :         while (*p &amp;&amp; !isspace (*p)) p++ ;   // skip real part</a>
+<a name="300"><span class="lineNum">     300 </span>            :         if (!structural &amp;&amp; !read_double (p, &amp;zval)) return (false) ;</a>
+<a name="301"><span class="lineNum">     301 </span>            :         double *result = (double *) x ;</a>
+<a name="302"><span class="lineNum">     302 </span>            :         result [0] = rval ;     // real part</a>
+<a name="303"><span class="lineNum">     303 </span>            :         result [1] = zval ;     // imaginary part</a>
+<a name="304"><span class="lineNum">     304 </span>            :     }</a>
+<a name="305"><span class="lineNum">     305 </span>            : #endif</a>
+<a name="306"><span class="lineNum">     306 </span>            : </a>
+<a name="307"><span class="lineNum">     307 </span><span class="lineCov">    4054322 :     return (true) ;</span></a>
+<a name="308"><span class="lineNum">     308 </span>            : }</a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span>            : //------------------------------------------------------------------------------</a>
+<a name="311"><span class="lineNum">     311 </span>            : // negate_scalar: negate a scalar value</a>
+<a name="312"><span class="lineNum">     312 </span>            : //------------------------------------------------------------------------------</a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span>            : // negate the scalar x.  Do nothing for bool or uint*.</a>
+<a name="315"><span class="lineNum">     315 </span>            : </a>
+<a name="316"><span class="lineNum">     316 </span><span class="lineCov">       1340 : static inline void negate_scalar</span></a>
+<a name="317"><span class="lineNum">     317 </span>            : (</a>
+<a name="318"><span class="lineNum">     318 </span>            :     GrB_Type type,</a>
+<a name="319"><span class="lineNum">     319 </span>            :     uint8_t *x</a>
+<a name="320"><span class="lineNum">     320 </span>            : )</a>
+<a name="321"><span class="lineNum">     321 </span>            : {</a>
+<a name="322"><span class="lineNum">     322 </span>            : </a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">       1340 :     if (type == GrB_INT8)</span></a>
+<a name="324"><span class="lineNum">     324 </span>            :     {</a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">        210 :         int8_t *value = (int8_t *) x ;</span></a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">        210 :         (*value) = - (*value) ;</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :     }</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">       1130 :     else if (type == GrB_INT16)</span></a>
+<a name="329"><span class="lineNum">     329 </span>            :     {</a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        210 :         int16_t *value = (int16_t *) x ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">        210 :         (*value) = - (*value) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span>            :     }</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">        920 :     else if (type == GrB_INT32)</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :     {</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">        210 :         int32_t *value = (int32_t *) x ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">        210 :         (*value) = - (*value) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span>            :     }</a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">        710 :     else if (type == GrB_INT64)</span></a>
+<a name="339"><span class="lineNum">     339 </span>            :     {</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">        210 :         int64_t *value = (int64_t *) x ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">        210 :         (*value) = - (*value) ;</span></a>
+<a name="342"><span class="lineNum">     342 </span>            :     }</a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">        500 :     else if (type == GrB_FP32)</span></a>
+<a name="344"><span class="lineNum">     344 </span>            :     {</a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">        290 :         float *value = (float *) x ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        290 :         (*value) = - (*value) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span>            :     }</a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">        210 :     else if (type == GrB_FP64)</span></a>
+<a name="349"><span class="lineNum">     349 </span>            :     {</a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">        210 :         double *value = (double *) x ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">        210 :         (*value) = - (*value) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            :     }</a>
+<a name="353"><span class="lineNum">     353 </span>            : #if 0</a>
+<a name="354"><span class="lineNum">     354 </span>            :     else if (type == GxB_FC32)</a>
+<a name="355"><span class="lineNum">     355 </span>            :     {</a>
+<a name="356"><span class="lineNum">     356 </span>            :         float complex *value = (float complex *) x ;</a>
+<a name="357"><span class="lineNum">     357 </span>            :         (*value) = - (*value) ;</a>
+<a name="358"><span class="lineNum">     358 </span>            :     }</a>
+<a name="359"><span class="lineNum">     359 </span>            :     else if (type == GxB_FC64)</a>
+<a name="360"><span class="lineNum">     360 </span>            :     {</a>
+<a name="361"><span class="lineNum">     361 </span>            :         double complex *value = (double complex *) x ;</a>
+<a name="362"><span class="lineNum">     362 </span>            :         (*value) = - (*value) ;</a>
+<a name="363"><span class="lineNum">     363 </span>            :     }</a>
+<a name="364"><span class="lineNum">     364 </span>            : #endif</a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">       1340 : }</span></a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span>            : //------------------------------------------------------------------------------</a>
+<a name="368"><span class="lineNum">     368 </span>            : // set_value</a>
+<a name="369"><span class="lineNum">     369 </span>            : //------------------------------------------------------------------------------</a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span>            : // Add the (i,j,x) triplet to the I,J,X arrays as the kth triplet, and</a>
+<a name="372"><span class="lineNum">     372 </span>            : // increment k.  No typecasting is done.</a>
+<a name="373"><span class="lineNum">     373 </span>            : </a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">    6291344 : static inline void set_value</span></a>
+<a name="375"><span class="lineNum">     375 </span>            : (</a>
+<a name="376"><span class="lineNum">     376 </span>            :     size_t typesize,        // size of the numerical type, in bytes</a>
+<a name="377"><span class="lineNum">     377 </span>            :     GrB_Index i,</a>
+<a name="378"><span class="lineNum">     378 </span>            :     GrB_Index j,</a>
+<a name="379"><span class="lineNum">     379 </span>            :     uint8_t *x,             // scalar, an array of size at least typesize</a>
+<a name="380"><span class="lineNum">     380 </span>            :     GrB_Index *I,</a>
+<a name="381"><span class="lineNum">     381 </span>            :     GrB_Index *J,</a>
+<a name="382"><span class="lineNum">     382 </span>            :     uint8_t *X,</a>
+<a name="383"><span class="lineNum">     383 </span>            :     GrB_Index *k            // # of triplets</a>
+<a name="384"><span class="lineNum">     384 </span>            : )</a>
+<a name="385"><span class="lineNum">     385 </span>            : {</a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">    6291344 :     I [*k] = i ;</span></a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">    6291344 :     J [*k] = j ;</span></a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">    6291344 :     memcpy (X + ((*k) * typesize), x, typesize) ;</span></a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">    6291344 :     (*k)++ ;</span></a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">    6291344 : }</span></a>
+<a name="391"><span class="lineNum">     391 </span>            : </a>
+<a name="392"><span class="lineNum">     392 </span>            : //------------------------------------------------------------------------------</a>
+<a name="393"><span class="lineNum">     393 </span>            : // LAGraph_MMRead</a>
+<a name="394"><span class="lineNum">     394 </span>            : //------------------------------------------------------------------------------</a>
+<a name="395"><span class="lineNum">     395 </span>            : </a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">       1974 : int LAGraph_MMRead</span></a>
+<a name="397"><span class="lineNum">     397 </span>            : (</a>
+<a name="398"><span class="lineNum">     398 </span>            :     // output:</a>
+<a name="399"><span class="lineNum">     399 </span>            :     GrB_Matrix *A,  // handle of matrix to create</a>
+<a name="400"><span class="lineNum">     400 </span>            :     // input:</a>
+<a name="401"><span class="lineNum">     401 </span>            :     FILE *f,        // file to read from, already open</a>
+<a name="402"><span class="lineNum">     402 </span>            :     char *msg</a>
+<a name="403"><span class="lineNum">     403 </span>            : )</a>
+<a name="404"><span class="lineNum">     404 </span>            : {</a>
+<a name="405"><span class="lineNum">     405 </span>            : </a>
+<a name="406"><span class="lineNum">     406 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="407"><span class="lineNum">     407 </span>            :     // check inputs</a>
+<a name="408"><span class="lineNum">     408 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="409"><span class="lineNum">     409 </span>            : </a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">       1974 :     GrB_Index *I = NULL, *J = NULL ;</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">       1974 :     uint8_t *X = NULL ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">       1974 :     LG_CLEAR_MSG ;</span></a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">       1974 :     LG_ASSERT (A != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">       1973 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">       1972 :     (*A) = NULL ;</span></a>
+<a name="416"><span class="lineNum">     416 </span>            : </a>
+<a name="417"><span class="lineNum">     417 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="418"><span class="lineNum">     418 </span>            :     // set the default properties</a>
+<a name="419"><span class="lineNum">     419 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="420"><span class="lineNum">     420 </span>            : </a>
+<a name="421"><span class="lineNum">     421 </span><span class="lineCov">       1972 :     MM_fmt_enum     MM_fmt     = MM_coordinate ;</span></a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">       1972 :     MM_type_enum    MM_type    = MM_real ;</span></a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">       1972 :     MM_storage_enum MM_storage = MM_general ;</span></a>
+<a name="424"><span class="lineNum">     424 </span><span class="lineCov">       1972 :     GrB_Type type = GrB_FP64 ;</span></a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">       1972 :     size_t typesize = sizeof (double) ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">       1972 :     GrB_Index nrows = 0 ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">       1972 :     GrB_Index ncols = 0 ;</span></a>
+<a name="428"><span class="lineNum">     428 </span><span class="lineCov">       1972 :     GrB_Index nvals = 0 ;</span></a>
+<a name="429"><span class="lineNum">     429 </span>            : </a>
+<a name="430"><span class="lineNum">     430 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="431"><span class="lineNum">     431 </span>            :     // read the Matrix Market header</a>
+<a name="432"><span class="lineNum">     432 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="433"><span class="lineNum">     433 </span>            : </a>
+<a name="434"><span class="lineNum">     434 </span>            :     // Read the header.  This consists of zero or more comment lines (blank, or</a>
+<a name="435"><span class="lineNum">     435 </span>            :     // starting with a &quot;%&quot; in the first column), followed by a single data line</a>
+<a name="436"><span class="lineNum">     436 </span>            :     // containing two or three numerical values.  The first line is normally:</a>
+<a name="437"><span class="lineNum">     437 </span>            :     //</a>
+<a name="438"><span class="lineNum">     438 </span>            :     //          %%MatrixMarket matrix &lt;fmt&gt; &lt;type&gt; &lt;storage&gt;</a>
+<a name="439"><span class="lineNum">     439 </span>            :     //</a>
+<a name="440"><span class="lineNum">     440 </span>            :     // but this is optional.  The 2nd line is also optional (the %%MatrixMarket</a>
+<a name="441"><span class="lineNum">     441 </span>            :     // line is required for this 2nd line to be recognized):</a>
+<a name="442"><span class="lineNum">     442 </span>            :     //</a>
+<a name="443"><span class="lineNum">     443 </span>            :     //          %%GraphBLAS type &lt;Ctype&gt;</a>
+<a name="444"><span class="lineNum">     444 </span>            :     //</a>
+<a name="445"><span class="lineNum">     445 </span>            :     // where the Ctype is one of: bool, int8_t, int16_t, int32_t, int64_t,</a>
+<a name="446"><span class="lineNum">     446 </span>            :     // uint8_t, uint16_t, uint32_t, uint64_t, float, or double.</a>
+<a name="447"><span class="lineNum">     447 </span>            :     //</a>
+<a name="448"><span class="lineNum">     448 </span>            :     // If the %%MatrixMarket line is not present, then the &lt;fmt&gt; &lt;type&gt; and</a>
+<a name="449"><span class="lineNum">     449 </span>            :     // &lt;storage&gt; are implicit.  If the first data line contains 3 items,</a>
+<a name="450"><span class="lineNum">     450 </span>            :     // then the implicit header is:</a>
+<a name="451"><span class="lineNum">     451 </span>            :     //</a>
+<a name="452"><span class="lineNum">     452 </span>            :     //          %%MatrixMarket matrix coordinate real general</a>
+<a name="453"><span class="lineNum">     453 </span>            :     //          %%GraphBLAS type double</a>
+<a name="454"><span class="lineNum">     454 </span>            :     //</a>
+<a name="455"><span class="lineNum">     455 </span>            :     // If the first data line contains 2 items (nrows ncols), then the implicit</a>
+<a name="456"><span class="lineNum">     456 </span>            :     // header is:</a>
+<a name="457"><span class="lineNum">     457 </span>            :     //</a>
+<a name="458"><span class="lineNum">     458 </span>            :     //          %%MatrixMarket matrix array real general</a>
+<a name="459"><span class="lineNum">     459 </span>            :     //          %%GraphBLAS type double</a>
+<a name="460"><span class="lineNum">     460 </span>            :     //</a>
+<a name="461"><span class="lineNum">     461 </span>            :     // The implicit header is an extension of the Matrix Market format.</a>
+<a name="462"><span class="lineNum">     462 </span>            : </a>
+<a name="463"><span class="lineNum">     463 </span>            :     char buf [MAXLINE+1] ;</a>
+<a name="464"><span class="lineNum">     464 </span>            : </a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">       1972 :     bool got_mm_header = false ;</span></a>
+<a name="466"><span class="lineNum">     466 </span><span class="lineCov">       1972 :     bool got_first_data_line = false ;</span></a>
+<a name="467"><span class="lineNum">     467 </span>            :     int64_t line ;</a>
+<a name="468"><span class="lineNum">     468 </span>            : </a>
+<a name="469"><span class="lineNum">     469 </span><span class="lineCov">      10713 :     for (line = 1 ; get_line (f, buf) ; line++)</span></a>
+<a name="470"><span class="lineNum">     470 </span>            :     {</a>
+<a name="471"><span class="lineNum">     471 </span>            : </a>
+<a name="472"><span class="lineNum">     472 </span>            :         //----------------------------------------------------------------------</a>
+<a name="473"><span class="lineNum">     473 </span>            :         // parse the line</a>
+<a name="474"><span class="lineNum">     474 </span>            :         //----------------------------------------------------------------------</a>
+<a name="475"><span class="lineNum">     475 </span>            : </a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">      10713 :         if ((line == 1) &amp;&amp; MATCH (buf, &quot;%%matrixmarket&quot;, 14))</span></a>
+<a name="477"><span class="lineNum">     477 </span><span class="lineCov">       1956 :         {</span></a>
+<a name="478"><span class="lineNum">     478 </span>            : </a>
+<a name="479"><span class="lineNum">     479 </span>            :             //------------------------------------------------------------------</a>
+<a name="480"><span class="lineNum">     480 </span>            :             // read a Matrix Market header</a>
+<a name="481"><span class="lineNum">     481 </span>            :             //------------------------------------------------------------------</a>
+<a name="482"><span class="lineNum">     482 </span>            : </a>
+<a name="483"><span class="lineNum">     483 </span>            :             //  %%MatrixMarket matrix &lt;fmt&gt; &lt;type&gt; &lt;storage&gt;</a>
+<a name="484"><span class="lineNum">     484 </span>            :             //  if present, it must be the first line in the file.</a>
+<a name="485"><span class="lineNum">     485 </span>            : </a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">       1964 :             got_mm_header = true ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">       1964 :             char *p = buf + 14 ;</span></a>
+<a name="488"><span class="lineNum">     488 </span>            : </a>
+<a name="489"><span class="lineNum">     489 </span>            :             //------------------------------------------------------------------</a>
+<a name="490"><span class="lineNum">     490 </span>            :             // get &quot;matrix&quot; token and discard it</a>
+<a name="491"><span class="lineNum">     491 </span>            :             //------------------------------------------------------------------</a>
+<a name="492"><span class="lineNum">     492 </span>            : </a>
+<a name="493"><span class="lineNum">     493 </span><span class="lineCov">       3928 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any leading spaces</span></a>
+<a name="494"><span class="lineNum">     494 </span>            : </a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">       1964 :             if (!MATCH (p, &quot;matrix&quot;, 6))</span></a>
+<a name="496"><span class="lineNum">     496 </span>            :             {</a>
+<a name="497"><span class="lineNum">     497 </span>            :                 // invalid Matrix Market object</a>
+<a name="498"><span class="lineNum">     498 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (false,</span></a>
+<a name="499"><span class="lineNum">     499 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid MatrixMarket header&quot;</a>
+<a name="500"><span class="lineNum">     500 </span>            :                     &quot; ('matrix' token missing)&quot;) ;</a>
+<a name="501"><span class="lineNum">     501 </span>            :             }</a>
+<a name="502"><span class="lineNum">     502 </span><span class="lineCov">       1963 :             p += 6 ;                                // skip past token &quot;matrix&quot;</span></a>
+<a name="503"><span class="lineNum">     503 </span>            : </a>
+<a name="504"><span class="lineNum">     504 </span>            :             //------------------------------------------------------------------</a>
+<a name="505"><span class="lineNum">     505 </span>            :             // get the fmt token</a>
+<a name="506"><span class="lineNum">     506 </span>            :             //------------------------------------------------------------------</a>
+<a name="507"><span class="lineNum">     507 </span>            : </a>
+<a name="508"><span class="lineNum">     508 </span><span class="lineCov">       3926 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any leading spaces</span></a>
+<a name="509"><span class="lineNum">     509 </span>            : </a>
+<a name="510"><span class="lineNum">     510 </span><span class="lineCov">       1963 :             if (MATCH (p, &quot;coordinate&quot;, 10))</span></a>
+<a name="511"><span class="lineNum">     511 </span>            :             {</a>
+<a name="512"><span class="lineNum">     512 </span><span class="lineCov">       1876 :                 MM_fmt = MM_coordinate ;</span></a>
+<a name="513"><span class="lineNum">     513 </span><span class="lineCov">       1876 :                 p += 10 ;</span></a>
+<a name="514"><span class="lineNum">     514 </span>            :             }</a>
+<a name="515"><span class="lineNum">     515 </span><span class="lineCov">         87 :             else if (MATCH (p, &quot;array&quot;, 5))</span></a>
+<a name="516"><span class="lineNum">     516 </span>            :             {</a>
+<a name="517"><span class="lineNum">     517 </span><span class="lineCov">         86 :                 MM_fmt = MM_array ;</span></a>
+<a name="518"><span class="lineNum">     518 </span><span class="lineCov">         86 :                 p += 5 ;</span></a>
+<a name="519"><span class="lineNum">     519 </span>            :             }</a>
+<a name="520"><span class="lineNum">     520 </span>            :             else</a>
+<a name="521"><span class="lineNum">     521 </span>            :             {</a>
+<a name="522"><span class="lineNum">     522 </span>            :                 // invalid Matrix Market format</a>
+<a name="523"><span class="lineNum">     523 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (false,</span></a>
+<a name="524"><span class="lineNum">     524 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid format in MatrixMarket header&quot;</a>
+<a name="525"><span class="lineNum">     525 </span>            :                     &quot; (format must be 'coordinate' or 'array')&quot;) ;</a>
+<a name="526"><span class="lineNum">     526 </span>            :             }</a>
+<a name="527"><span class="lineNum">     527 </span>            : </a>
+<a name="528"><span class="lineNum">     528 </span>            :             //------------------------------------------------------------------</a>
+<a name="529"><span class="lineNum">     529 </span>            :             // get the Matrix Market type token</a>
+<a name="530"><span class="lineNum">     530 </span>            :             //------------------------------------------------------------------</a>
+<a name="531"><span class="lineNum">     531 </span>            : </a>
+<a name="532"><span class="lineNum">     532 </span><span class="lineCov">       3924 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any leading spaces</span></a>
+<a name="533"><span class="lineNum">     533 </span>            : </a>
+<a name="534"><span class="lineNum">     534 </span><span class="lineCov">       1962 :             if (MATCH (p, &quot;real&quot;, 4))</span></a>
+<a name="535"><span class="lineNum">     535 </span>            :             {</a>
+<a name="536"><span class="lineNum">     536 </span><span class="lineCov">        621 :                 MM_type = MM_real ;</span></a>
+<a name="537"><span class="lineNum">     537 </span><span class="lineCov">        621 :                 type = GrB_FP64 ;</span></a>
+<a name="538"><span class="lineNum">     538 </span><span class="lineCov">        621 :                 typesize = sizeof (double) ;</span></a>
+<a name="539"><span class="lineNum">     539 </span><span class="lineCov">        621 :                 p += 4 ;</span></a>
+<a name="540"><span class="lineNum">     540 </span>            :             }</a>
+<a name="541"><span class="lineNum">     541 </span><span class="lineCov">       1341 :             else if (MATCH (p, &quot;integer&quot;, 7))</span></a>
+<a name="542"><span class="lineNum">     542 </span>            :             {</a>
+<a name="543"><span class="lineNum">     543 </span><span class="lineCov">        799 :                 MM_type = MM_integer ;</span></a>
+<a name="544"><span class="lineNum">     544 </span><span class="lineCov">        799 :                 type = GrB_INT64 ;</span></a>
+<a name="545"><span class="lineNum">     545 </span><span class="lineCov">        799 :                 typesize = sizeof (int64_t) ;</span></a>
+<a name="546"><span class="lineNum">     546 </span><span class="lineCov">        799 :                 p += 7 ;</span></a>
+<a name="547"><span class="lineNum">     547 </span>            :             }</a>
+<a name="548"><span class="lineNum">     548 </span><span class="lineCov">        542 :             else if (MATCH (p, &quot;complex&quot;, 7))</span></a>
+<a name="549"><span class="lineNum">     549 </span>            :             {</a>
+<a name="550"><span class="lineNum">     550 </span><span class="lineCov">          1 :                 MM_type = MM_complex ;</span></a>
+<a name="551"><span class="lineNum">     551 </span>            : #if 0</a>
+<a name="552"><span class="lineNum">     552 </span>            :                 type = GxB_FC64 ;</a>
+<a name="553"><span class="lineNum">     553 </span>            :                 typesize = sizeof (GxB_FC64_t) ;</a>
+<a name="554"><span class="lineNum">     554 </span>            :                 p += 7 ;</a>
+<a name="555"><span class="lineNum">     555 </span>            : #endif</a>
+<a name="556"><span class="lineNum">     556 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (false,</span></a>
+<a name="557"><span class="lineNum">     557 </span>            :                 GrB_NOT_IMPLEMENTED, &quot;complex types not supported&quot;) ;</a>
+<a name="558"><span class="lineNum">     558 </span>            :             }</a>
+<a name="559"><span class="lineNum">     559 </span><span class="lineCov">        541 :             else if (MATCH (p, &quot;pattern&quot;, 7))</span></a>
+<a name="560"><span class="lineNum">     560 </span>            :             {</a>
+<a name="561"><span class="lineNum">     561 </span><span class="lineCov">        540 :                 MM_type = MM_pattern ;</span></a>
+<a name="562"><span class="lineNum">     562 </span><span class="lineCov">        540 :                 type = GrB_BOOL ;</span></a>
+<a name="563"><span class="lineNum">     563 </span><span class="lineCov">        540 :                 typesize = sizeof (bool) ;</span></a>
+<a name="564"><span class="lineNum">     564 </span><span class="lineCov">        540 :                 p += 7 ;</span></a>
+<a name="565"><span class="lineNum">     565 </span>            :             }</a>
+<a name="566"><span class="lineNum">     566 </span>            :             else</a>
+<a name="567"><span class="lineNum">     567 </span>            :             {</a>
+<a name="568"><span class="lineNum">     568 </span>            :                 // invalid Matrix Market type</a>
+<a name="569"><span class="lineNum">     569 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (false,</span></a>
+<a name="570"><span class="lineNum">     570 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid MatrixMarket type&quot;) ;</a>
+<a name="571"><span class="lineNum">     571 </span>            :             }</a>
+<a name="572"><span class="lineNum">     572 </span>            : </a>
+<a name="573"><span class="lineNum">     573 </span>            :             //------------------------------------------------------------------</a>
+<a name="574"><span class="lineNum">     574 </span>            :             // get the storage token</a>
+<a name="575"><span class="lineNum">     575 </span>            :             //------------------------------------------------------------------</a>
+<a name="576"><span class="lineNum">     576 </span>            : </a>
+<a name="577"><span class="lineNum">     577 </span><span class="lineCov">       3920 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any leading spaces</span></a>
+<a name="578"><span class="lineNum">     578 </span>            : </a>
+<a name="579"><span class="lineNum">     579 </span><span class="lineCov">       1960 :             if (MATCH (p, &quot;general&quot;, 7))</span></a>
+<a name="580"><span class="lineNum">     580 </span>            :             {</a>
+<a name="581"><span class="lineNum">     581 </span><span class="lineCov">       1170 :                 MM_storage = MM_general ;</span></a>
+<a name="582"><span class="lineNum">     582 </span>            :             }</a>
+<a name="583"><span class="lineNum">     583 </span><span class="lineCov">        790 :             else if (MATCH (p, &quot;symmetric&quot;, 9))</span></a>
+<a name="584"><span class="lineNum">     584 </span>            :             {</a>
+<a name="585"><span class="lineNum">     585 </span><span class="lineCov">        616 :                 MM_storage = MM_symmetric ;</span></a>
+<a name="586"><span class="lineNum">     586 </span>            :             }</a>
+<a name="587"><span class="lineNum">     587 </span><span class="lineCov">        174 :             else if (MATCH (p, &quot;skew-symmetric&quot;, 14))</span></a>
+<a name="588"><span class="lineNum">     588 </span>            :             {</a>
+<a name="589"><span class="lineNum">     589 </span><span class="lineCov">        171 :                 MM_storage = MM_skew_symmetric ;</span></a>
+<a name="590"><span class="lineNum">     590 </span>            :             }</a>
+<a name="591"><span class="lineNum">     591 </span><span class="lineCov">          3 :             else if (MATCH (p, &quot;hermitian&quot;, 9))</span></a>
+<a name="592"><span class="lineNum">     592 </span>            :             {</a>
+<a name="593"><span class="lineNum">     593 </span><span class="lineCov">          2 :                 MM_storage = MM_hermitian ;</span></a>
+<a name="594"><span class="lineNum">     594 </span>            :             }</a>
+<a name="595"><span class="lineNum">     595 </span>            :             else</a>
+<a name="596"><span class="lineNum">     596 </span>            :             {</a>
+<a name="597"><span class="lineNum">     597 </span>            :                 // invalid Matrix Market storage</a>
+<a name="598"><span class="lineNum">     598 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (false,</span></a>
+<a name="599"><span class="lineNum">     599 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid MatrixMarket storage&quot;) ;</a>
+<a name="600"><span class="lineNum">     600 </span>            :             }</a>
+<a name="601"><span class="lineNum">     601 </span>            : </a>
+<a name="602"><span class="lineNum">     602 </span>            :             //------------------------------------------------------------------</a>
+<a name="603"><span class="lineNum">     603 </span>            :             // ensure the combinations are valid</a>
+<a name="604"><span class="lineNum">     604 </span>            :             //------------------------------------------------------------------</a>
+<a name="605"><span class="lineNum">     605 </span>            : </a>
+<a name="606"><span class="lineNum">     606 </span><span class="lineCov">       1959 :             if (MM_type == MM_pattern)</span></a>
+<a name="607"><span class="lineNum">     607 </span>            :             {</a>
+<a name="608"><span class="lineNum">     608 </span>            :                 // (coodinate) x (pattern) x (general or symmetric)</a>
+<a name="609"><span class="lineNum">     609 </span><span class="lineCov">        540 :                 LG_ASSERT_MSG (</span></a>
+<a name="610"><span class="lineNum">     610 </span>            :                     (MM_fmt == MM_coordinate &amp;&amp;</a>
+<a name="611"><span class="lineNum">     611 </span>            :                     (MM_storage == MM_general || MM_storage == MM_symmetric)),</a>
+<a name="612"><span class="lineNum">     612 </span>            :                     LAGRAPH_IO_ERROR,</a>
+<a name="613"><span class="lineNum">     613 </span>            :                     &quot;invalid MatrixMarket pattern combination&quot;) ;</a>
+<a name="614"><span class="lineNum">     614 </span>            :             }</a>
+<a name="615"><span class="lineNum">     615 </span>            : </a>
+<a name="616"><span class="lineNum">     616 </span><span class="lineCov">       1957 :             if (MM_storage == MM_hermitian)</span></a>
+<a name="617"><span class="lineNum">     617 </span>            :             {</a>
+<a name="618"><span class="lineNum">     618 </span>            :                 // (coordinate or array) x (complex) x (Hermitian)</a>
+<a name="619"><span class="lineNum">     619 </span><span class="lineCov">          1 :                 LG_ASSERT_MSG (MM_type == MM_complex,</span></a>
+<a name="620"><span class="lineNum">     620 </span>            :                     LAGRAPH_IO_ERROR,</a>
+<a name="621"><span class="lineNum">     621 </span>            :                     &quot;invalid MatrixMarket complex combination&quot;) ;</a>
+<a name="622"><span class="lineNum">     622 </span>            :             }</a>
+<a name="623"><span class="lineNum">     623 </span>            : </a>
+<a name="624"><span class="lineNum">     624 </span>            :         }</a>
+<a name="625"><span class="lineNum">     625 </span><span class="lineCov">       8749 :         else if (got_mm_header &amp;&amp; MATCH (buf, &quot;%%graphblas&quot;, 11))</span></a>
+<a name="626"><span class="lineNum">     626 </span><span class="lineCov">       1498 :         {</span></a>
+<a name="627"><span class="lineNum">     627 </span>            : </a>
+<a name="628"><span class="lineNum">     628 </span>            :             //------------------------------------------------------------------</a>
+<a name="629"><span class="lineNum">     629 </span>            :             // %%GraphBLAS structured comment</a>
+<a name="630"><span class="lineNum">     630 </span>            :             //------------------------------------------------------------------</a>
+<a name="631"><span class="lineNum">     631 </span>            : </a>
+<a name="632"><span class="lineNum">     632 </span><span class="lineCov">       1548 :             char *p = buf + 11 ;</span></a>
+<a name="633"><span class="lineNum">     633 </span><span class="lineCov">       3096 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any leading spaces</span></a>
+<a name="634"><span class="lineNum">     634 </span>            : </a>
+<a name="635"><span class="lineNum">     635 </span><span class="lineCov">       1548 :             if (MATCH (p, &quot;type&quot;, 4) &amp;&amp; !got_first_data_line)</span></a>
+<a name="636"><span class="lineNum">     636 </span>            :             {</a>
+<a name="637"><span class="lineNum">     637 </span>            : </a>
+<a name="638"><span class="lineNum">     638 </span>            :                 //--------------------------------------------------------------</a>
+<a name="639"><span class="lineNum">     639 </span>            :                 // %%GraphBLAS type &lt;Ctype&gt;</a>
+<a name="640"><span class="lineNum">     640 </span>            :                 //--------------------------------------------------------------</a>
+<a name="641"><span class="lineNum">     641 </span>            : </a>
+<a name="642"><span class="lineNum">     642 </span>            :                 // This must appear after the %%MatrixMarket header and before</a>
+<a name="643"><span class="lineNum">     643 </span>            :                 // the first data line.  Otherwise the %%GraphBLAS line is</a>
+<a name="644"><span class="lineNum">     644 </span>            :                 // treated as a pure comment.</a>
+<a name="645"><span class="lineNum">     645 </span>            : </a>
+<a name="646"><span class="lineNum">     646 </span><span class="lineCov">       1502 :                 p += 4 ;</span></a>
+<a name="647"><span class="lineNum">     647 </span><span class="lineCov">       3004 :                 while (*p &amp;&amp; isspace (*p)) p++ ;    // skip any leading spaces</span></a>
+<a name="648"><span class="lineNum">     648 </span>            : </a>
+<a name="649"><span class="lineNum">     649 </span>            :                 // Ctype is one of: bool, int8_t, int16_t, int32_t, int64_t,</a>
+<a name="650"><span class="lineNum">     650 </span>            :                 // uint8_t, uint16_t, uint32_t, uint64_t, float, or double.</a>
+<a name="651"><span class="lineNum">     651 </span>            :                 // The complex types &quot;float complex&quot;, or &quot;double complex&quot; are</a>
+<a name="652"><span class="lineNum">     652 </span>            :                 // not yet supported.</a>
+<a name="653"><span class="lineNum">     653 </span>            : </a>
+<a name="654"><span class="lineNum">     654 </span><span class="lineCov">       1502 :                 if (MATCH (p, &quot;bool&quot;, 4))</span></a>
+<a name="655"><span class="lineNum">     655 </span>            :                 {</a>
+<a name="656"><span class="lineNum">     656 </span><span class="lineCov">        519 :                     type = GrB_BOOL ;</span></a>
+<a name="657"><span class="lineNum">     657 </span><span class="lineCov">        519 :                     typesize = sizeof (bool) ;</span></a>
+<a name="658"><span class="lineNum">     658 </span>            :                 }</a>
+<a name="659"><span class="lineNum">     659 </span><span class="lineCov">        983 :                 else if (MATCH (p, &quot;int8_t&quot;, 6))</span></a>
+<a name="660"><span class="lineNum">     660 </span>            :                 {</a>
+<a name="661"><span class="lineNum">     661 </span><span class="lineCov">         59 :                     type = GrB_INT8 ;</span></a>
+<a name="662"><span class="lineNum">     662 </span><span class="lineCov">         59 :                     typesize = sizeof (int8_t) ;</span></a>
+<a name="663"><span class="lineNum">     663 </span>            :                 }</a>
+<a name="664"><span class="lineNum">     664 </span><span class="lineCov">        924 :                 else if (MATCH (p, &quot;int16_t&quot;, 7))</span></a>
+<a name="665"><span class="lineNum">     665 </span>            :                 {</a>
+<a name="666"><span class="lineNum">     666 </span><span class="lineCov">         60 :                     type = GrB_INT16 ;</span></a>
+<a name="667"><span class="lineNum">     667 </span><span class="lineCov">         60 :                     typesize = sizeof (int16_t) ;</span></a>
+<a name="668"><span class="lineNum">     668 </span>            :                 }</a>
+<a name="669"><span class="lineNum">     669 </span><span class="lineCov">        864 :                 else if (MATCH (p, &quot;int32_t&quot;, 7))</span></a>
+<a name="670"><span class="lineNum">     670 </span>            :                 {</a>
+<a name="671"><span class="lineNum">     671 </span><span class="lineCov">        176 :                     type = GrB_INT32 ;</span></a>
+<a name="672"><span class="lineNum">     672 </span><span class="lineCov">        176 :                     typesize = sizeof (int32_t) ;</span></a>
+<a name="673"><span class="lineNum">     673 </span>            :                 }</a>
+<a name="674"><span class="lineNum">     674 </span><span class="lineCov">        688 :                 else if (MATCH (p, &quot;int64_t&quot;, 7))</span></a>
+<a name="675"><span class="lineNum">     675 </span>            :                 {</a>
+<a name="676"><span class="lineNum">     676 </span><span class="lineCov">        160 :                     type = GrB_INT64 ;</span></a>
+<a name="677"><span class="lineNum">     677 </span><span class="lineCov">        160 :                     typesize = sizeof (int64_t) ;</span></a>
+<a name="678"><span class="lineNum">     678 </span>            :                 }</a>
+<a name="679"><span class="lineNum">     679 </span><span class="lineCov">        528 :                 else if (MATCH (p, &quot;uint8_t&quot;, 7))</span></a>
+<a name="680"><span class="lineNum">     680 </span>            :                 {</a>
+<a name="681"><span class="lineNum">     681 </span><span class="lineCov">         32 :                     type = GrB_UINT8 ;</span></a>
+<a name="682"><span class="lineNum">     682 </span><span class="lineCov">         32 :                     typesize = sizeof (uint8_t) ;</span></a>
+<a name="683"><span class="lineNum">     683 </span>            :                 }</a>
+<a name="684"><span class="lineNum">     684 </span><span class="lineCov">        496 :                 else if (MATCH (p, &quot;uint16_t&quot;, 8))</span></a>
+<a name="685"><span class="lineNum">     685 </span>            :                 {</a>
+<a name="686"><span class="lineNum">     686 </span><span class="lineCov">         31 :                     type = GrB_UINT16 ;</span></a>
+<a name="687"><span class="lineNum">     687 </span><span class="lineCov">         31 :                     typesize = sizeof (uint16_t) ;</span></a>
+<a name="688"><span class="lineNum">     688 </span>            :                 }</a>
+<a name="689"><span class="lineNum">     689 </span><span class="lineCov">        465 :                 else if (MATCH (p, &quot;uint32_t&quot;, 8))</span></a>
+<a name="690"><span class="lineNum">     690 </span>            :                 {</a>
+<a name="691"><span class="lineNum">     691 </span><span class="lineCov">         31 :                     type = GrB_UINT32 ;</span></a>
+<a name="692"><span class="lineNum">     692 </span><span class="lineCov">         31 :                     typesize = sizeof (uint32_t) ;</span></a>
+<a name="693"><span class="lineNum">     693 </span>            :                 }</a>
+<a name="694"><span class="lineNum">     694 </span><span class="lineCov">        434 :                 else if (MATCH (p, &quot;uint64_t&quot;, 8))</span></a>
+<a name="695"><span class="lineNum">     695 </span>            :                 {</a>
+<a name="696"><span class="lineNum">     696 </span><span class="lineCov">         32 :                     type = GrB_UINT64 ;</span></a>
+<a name="697"><span class="lineNum">     697 </span><span class="lineCov">         32 :                     typesize = sizeof (uint64_t) ;</span></a>
+<a name="698"><span class="lineNum">     698 </span>            :                 }</a>
+<a name="699"><span class="lineNum">     699 </span><span class="lineCov">        402 :                 else if (MATCH (p, &quot;float complex&quot;, 13))</span></a>
+<a name="700"><span class="lineNum">     700 </span>            :                 {</a>
+<a name="701"><span class="lineNum">     701 </span>            : #if 0</a>
+<a name="702"><span class="lineNum">     702 </span>            :                     type = GxB_FC32 ;</a>
+<a name="703"><span class="lineNum">     703 </span>            :                     typesize = sizeof (GxB_FC32_t) ;</a>
+<a name="704"><span class="lineNum">     704 </span>            : #endif</a>
+<a name="705"><span class="lineNum">     705 </span><span class="lineCov">          1 :                     LG_ASSERT_MSG (false,</span></a>
+<a name="706"><span class="lineNum">     706 </span>            :                         GrB_NOT_IMPLEMENTED, &quot;complex types not supported&quot;) ;</a>
+<a name="707"><span class="lineNum">     707 </span>            :                 }</a>
+<a name="708"><span class="lineNum">     708 </span><span class="lineCov">        401 :                 else if (MATCH (p, &quot;double complex&quot;, 14))</span></a>
+<a name="709"><span class="lineNum">     709 </span>            :                 {</a>
+<a name="710"><span class="lineNum">     710 </span>            : #if 0</a>
+<a name="711"><span class="lineNum">     711 </span>            :                     type = GxB_FC64 ;</a>
+<a name="712"><span class="lineNum">     712 </span>            :                     typesize = sizeof (GxB_FC64_t) ;</a>
+<a name="713"><span class="lineNum">     713 </span>            : #endif</a>
+<a name="714"><span class="lineNum">     714 </span><span class="lineCov">          1 :                     LG_ASSERT_MSG (false,</span></a>
+<a name="715"><span class="lineNum">     715 </span>            :                         GrB_NOT_IMPLEMENTED, &quot;complex types not supported&quot;) ;</a>
+<a name="716"><span class="lineNum">     716 </span>            :                 }</a>
+<a name="717"><span class="lineNum">     717 </span><span class="lineCov">        400 :                 else if (MATCH (p, &quot;float&quot;, 5))</span></a>
+<a name="718"><span class="lineNum">     718 </span>            :                 {</a>
+<a name="719"><span class="lineNum">     719 </span><span class="lineCov">         96 :                     type = GrB_FP32 ;</span></a>
+<a name="720"><span class="lineNum">     720 </span><span class="lineCov">         96 :                     typesize = sizeof (float) ;</span></a>
+<a name="721"><span class="lineNum">     721 </span>            :                 }</a>
+<a name="722"><span class="lineNum">     722 </span><span class="lineCov">        304 :                 else if (MATCH (p, &quot;double&quot;, 6))</span></a>
+<a name="723"><span class="lineNum">     723 </span>            :                 {</a>
+<a name="724"><span class="lineNum">     724 </span><span class="lineCov">        303 :                     type = GrB_FP64 ;</span></a>
+<a name="725"><span class="lineNum">     725 </span><span class="lineCov">        303 :                     typesize = sizeof (double) ;</span></a>
+<a name="726"><span class="lineNum">     726 </span>            :                 }</a>
+<a name="727"><span class="lineNum">     727 </span>            :                 else</a>
+<a name="728"><span class="lineNum">     728 </span>            :                 {</a>
+<a name="729"><span class="lineNum">     729 </span>            :                     // unknown type</a>
+<a name="730"><span class="lineNum">     730 </span><span class="lineCov">          1 :                     LG_ASSERT_MSG (false,</span></a>
+<a name="731"><span class="lineNum">     731 </span>            :                         LAGRAPH_IO_ERROR, &quot;unknown type&quot;) ;</a>
+<a name="732"><span class="lineNum">     732 </span>            :                 }</a>
+<a name="733"><span class="lineNum">     733 </span>            : </a>
+<a name="734"><span class="lineNum">     734 </span><span class="lineCov">       1499 :                 if (MM_storage == MM_skew_symmetric &amp;&amp; (type == GrB_BOOL ||</span></a>
+<a name="735"><span class="lineNum">     735 </span><span class="lineCov">        160 :                     type == GrB_UINT8  || type == GrB_UINT16 ||</span></a>
+<a name="736"><span class="lineNum">     736 </span><span class="lineCov">        159 :                     type == GrB_UINT32 || type == GrB_UINT64))</span></a>
+<a name="737"><span class="lineNum">     737 </span>            :                 {</a>
+<a name="738"><span class="lineNum">     738 </span>            :                     // matrices with unsigned types cannot be skew-symmetric</a>
+<a name="739"><span class="lineNum">     739 </span><span class="lineCov">          1 :                     LG_ASSERT_MSG (false, LAGRAPH_IO_ERROR,</span></a>
+<a name="740"><span class="lineNum">     740 </span>            :                         &quot;skew-symmetric matrices cannot have an unsigned type&quot;);</a>
+<a name="741"><span class="lineNum">     741 </span>            :                 }</a>
+<a name="742"><span class="lineNum">     742 </span>            :             }</a>
+<a name="743"><span class="lineNum">     743 </span>            :             else</a>
+<a name="744"><span class="lineNum">     744 </span>            :             {</a>
+<a name="745"><span class="lineNum">     745 </span>            :                 // %%GraphBLAS line but no &quot;type&quot; as the 2nd token; ignore it</a>
+<a name="746"><span class="lineNum">     746 </span><span class="lineCov">         46 :                 continue ;</span></a>
+<a name="747"><span class="lineNum">     747 </span>            :             }</a>
+<a name="748"><span class="lineNum">     748 </span>            : </a>
+<a name="749"><span class="lineNum">     749 </span>            :         }</a>
+<a name="750"><span class="lineNum">     750 </span><span class="lineCov">       7201 :         else if (is_blank_line (buf))</span></a>
+<a name="751"><span class="lineNum">     751 </span>            :         {</a>
+<a name="752"><span class="lineNum">     752 </span>            : </a>
+<a name="753"><span class="lineNum">     753 </span>            :             // -----------------------------------------------------------------</a>
+<a name="754"><span class="lineNum">     754 </span>            :             // blank line or comment line</a>
+<a name="755"><span class="lineNum">     755 </span>            :             // -----------------------------------------------------------------</a>
+<a name="756"><span class="lineNum">     756 </span>            : </a>
+<a name="757"><span class="lineNum">     757 </span><span class="lineCov">       5241 :             continue ;</span></a>
+<a name="758"><span class="lineNum">     758 </span>            : </a>
+<a name="759"><span class="lineNum">     759 </span>            :         }</a>
+<a name="760"><span class="lineNum">     760 </span>            :         else</a>
+<a name="761"><span class="lineNum">     761 </span>            :         {</a>
+<a name="762"><span class="lineNum">     762 </span>            : </a>
+<a name="763"><span class="lineNum">     763 </span>            :             // -----------------------------------------------------------------</a>
+<a name="764"><span class="lineNum">     764 </span>            :             // read the first data line</a>
+<a name="765"><span class="lineNum">     765 </span>            :             // -----------------------------------------------------------------</a>
+<a name="766"><span class="lineNum">     766 </span>            : </a>
+<a name="767"><span class="lineNum">     767 </span>            :             // format: [nrows ncols nvals] or just [nrows ncols]</a>
+<a name="768"><span class="lineNum">     768 </span>            : </a>
+<a name="769"><span class="lineNum">     769 </span><span class="lineCov">       1960 :             got_first_data_line = true ;</span></a>
+<a name="770"><span class="lineNum">     770 </span><span class="lineCov">       1960 :             int nitems = sscanf (buf, &quot;%&quot; SCNu64 &quot; %&quot; SCNu64 &quot; %&quot; SCNu64,</span></a>
+<a name="771"><span class="lineNum">     771 </span>            :                 &amp;nrows, &amp;ncols, &amp;nvals) ;</a>
+<a name="772"><span class="lineNum">     772 </span>            : </a>
+<a name="773"><span class="lineNum">     773 </span><span class="lineCov">       1960 :             if (nitems == 2)</span></a>
+<a name="774"><span class="lineNum">     774 </span>            :             {</a>
+<a name="775"><span class="lineNum">     775 </span>            :                 // a dense matrix</a>
+<a name="776"><span class="lineNum">     776 </span><span class="lineCov">         86 :                 if (!got_mm_header)</span></a>
+<a name="777"><span class="lineNum">     777 </span>            :                 {</a>
+<a name="778"><span class="lineNum">     778 </span>            :                     // if no header, treat it as if it were</a>
+<a name="779"><span class="lineNum">     779 </span>            :                     // %%MatrixMarket matrix array real general</a>
+<a name="780"><span class="lineNum">     780 </span><span class="lineCov">          4 :                     MM_fmt = MM_array ;</span></a>
+<a name="781"><span class="lineNum">     781 </span><span class="lineCov">          4 :                     MM_type = MM_real ;</span></a>
+<a name="782"><span class="lineNum">     782 </span><span class="lineCov">          4 :                     MM_storage = MM_general ;</span></a>
+<a name="783"><span class="lineNum">     783 </span><span class="lineCov">          4 :                     type = GrB_FP64 ;</span></a>
+<a name="784"><span class="lineNum">     784 </span><span class="lineCov">          4 :                     typesize = sizeof (double) ;</span></a>
+<a name="785"><span class="lineNum">     785 </span>            :                 }</a>
+<a name="786"><span class="lineNum">     786 </span><span class="lineCov">         86 :                 if (MM_storage == MM_general)</span></a>
+<a name="787"><span class="lineNum">     787 </span>            :                 {</a>
+<a name="788"><span class="lineNum">     788 </span>            :                     // dense general matrix</a>
+<a name="789"><span class="lineNum">     789 </span><span class="lineCov">         54 :                     nvals = nrows * ncols ;</span></a>
+<a name="790"><span class="lineNum">     790 </span>            :                 }</a>
+<a name="791"><span class="lineNum">     791 </span>            :                 else</a>
+<a name="792"><span class="lineNum">     792 </span>            :                 {</a>
+<a name="793"><span class="lineNum">     793 </span>            :                     // dense symmetric, skew-symmetric, or hermitian matrix</a>
+<a name="794"><span class="lineNum">     794 </span><span class="lineCov">         32 :                     nvals = nrows + ((nrows * nrows - nrows) / 2) ;</span></a>
+<a name="795"><span class="lineNum">     795 </span>            :                 }</a>
+<a name="796"><span class="lineNum">     796 </span>            :             }</a>
+<a name="797"><span class="lineNum">     797 </span><span class="lineCov">       1874 :             else if (nitems == 3)</span></a>
+<a name="798"><span class="lineNum">     798 </span>            :             {</a>
+<a name="799"><span class="lineNum">     799 </span>            :                 // a sparse matrix</a>
+<a name="800"><span class="lineNum">     800 </span><span class="lineCov">       1873 :                 if (!got_mm_header)</span></a>
+<a name="801"><span class="lineNum">     801 </span>            :                 {</a>
+<a name="802"><span class="lineNum">     802 </span>            :                     // if no header, treat it as if it were</a>
+<a name="803"><span class="lineNum">     803 </span>            :                     // %%MatrixMarket matrix coordinate real general</a>
+<a name="804"><span class="lineNum">     804 </span><span class="lineCov">          4 :                     MM_fmt = MM_coordinate ;</span></a>
+<a name="805"><span class="lineNum">     805 </span><span class="lineCov">          4 :                     MM_type = MM_real ;</span></a>
+<a name="806"><span class="lineNum">     806 </span><span class="lineCov">          4 :                     MM_storage = MM_general ;</span></a>
+<a name="807"><span class="lineNum">     807 </span><span class="lineCov">          4 :                     type = GrB_FP64 ;</span></a>
+<a name="808"><span class="lineNum">     808 </span><span class="lineCov">          4 :                     typesize = sizeof (double) ;</span></a>
+<a name="809"><span class="lineNum">     809 </span>            :                 }</a>
+<a name="810"><span class="lineNum">     810 </span>            :             }</a>
+<a name="811"><span class="lineNum">     811 </span>            :             else</a>
+<a name="812"><span class="lineNum">     812 </span>            :             {</a>
+<a name="813"><span class="lineNum">     813 </span>            :                 // wrong number of items in first data line</a>
+<a name="814"><span class="lineNum">     814 </span><span class="lineCov">          1 :                 LG_ASSERT_MSGF (false,</span></a>
+<a name="815"><span class="lineNum">     815 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid 1st data line&quot;</a>
+<a name="816"><span class="lineNum">     816 </span>            :                     &quot; (line %&quot; PRId64 &quot; of input file)&quot;, line) ;</a>
+<a name="817"><span class="lineNum">     817 </span>            :             }</a>
+<a name="818"><span class="lineNum">     818 </span>            : </a>
+<a name="819"><span class="lineNum">     819 </span><span class="lineCov">       1959 :             if (nrows != ncols)</span></a>
+<a name="820"><span class="lineNum">     820 </span>            :             {</a>
+<a name="821"><span class="lineNum">     821 </span>            :                 // a rectangular matrix must be in the general storage</a>
+<a name="822"><span class="lineNum">     822 </span><span class="lineCov">         90 :                 LG_ASSERT_MSG (MM_storage == MM_general,</span></a>
+<a name="823"><span class="lineNum">     823 </span>            :                     LAGRAPH_IO_ERROR, &quot;invalid rectangular storage&quot;) ;</a>
+<a name="824"><span class="lineNum">     824 </span>            :             }</a>
+<a name="825"><span class="lineNum">     825 </span>            : </a>
+<a name="826"><span class="lineNum">     826 </span>            :             //------------------------------------------------------------------</a>
+<a name="827"><span class="lineNum">     827 </span>            :             // header has been read in</a>
+<a name="828"><span class="lineNum">     828 </span>            :             //------------------------------------------------------------------</a>
+<a name="829"><span class="lineNum">     829 </span>            : </a>
+<a name="830"><span class="lineNum">     830 </span><span class="lineCov">       1958 :             break ;</span></a>
+<a name="831"><span class="lineNum">     831 </span>            :         }</a>
+<a name="832"><span class="lineNum">     832 </span>            :     }</a>
+<a name="833"><span class="lineNum">     833 </span>            : </a>
+<a name="834"><span class="lineNum">     834 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="835"><span class="lineNum">     835 </span>            :     // create the matrix</a>
+<a name="836"><span class="lineNum">     836 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="837"><span class="lineNum">     837 </span>            : </a>
+<a name="838"><span class="lineNum">     838 </span><span class="lineCov">       1958 :     GRB_TRY (GrB_Matrix_new (A, type, nrows, ncols)) ;</span></a>
+<a name="839"><span class="lineNum">     839 </span>            : </a>
+<a name="840"><span class="lineNum">     840 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="841"><span class="lineNum">     841 </span>            :     // quick return for empty matrix</a>
+<a name="842"><span class="lineNum">     842 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="843"><span class="lineNum">     843 </span>            : </a>
+<a name="844"><span class="lineNum">     844 </span><span class="lineCov">       1806 :     if (nrows == 0 || ncols == 0 || nvals == 0)</span></a>
+<a name="845"><span class="lineNum">     845 </span>            :     {</a>
+<a name="846"><span class="lineNum">     846 </span>            :         // success: return an empty matrix.  This is not an error.</a>
+<a name="847"><span class="lineNum">     847 </span><span class="lineCov">         11 :         return (GrB_SUCCESS) ;</span></a>
+<a name="848"><span class="lineNum">     848 </span>            :     }</a>
+<a name="849"><span class="lineNum">     849 </span>            : </a>
+<a name="850"><span class="lineNum">     850 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="851"><span class="lineNum">     851 </span>            :     // allocate space for the triplets</a>
+<a name="852"><span class="lineNum">     852 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="853"><span class="lineNum">     853 </span>            : </a>
+<a name="854"><span class="lineNum">     854 </span><span class="lineCov">       1795 :     GrB_Index nvals3 = ((MM_storage == MM_general) ? 1 : 2) * (nvals + 1) ;</span></a>
+<a name="855"><span class="lineNum">     855 </span><span class="lineCov">       1795 :     LG_TRY (LAGraph_Malloc ((void **) &amp;I, nvals3, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="856"><span class="lineNum">     856 </span><span class="lineCov">       1745 :     LG_TRY (LAGraph_Malloc ((void **) &amp;J, nvals3, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="857"><span class="lineNum">     857 </span><span class="lineCov">       1695 :     LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals3, typesize, msg)) ;</span></a>
+<a name="858"><span class="lineNum">     858 </span>            : </a>
+<a name="859"><span class="lineNum">     859 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="860"><span class="lineNum">     860 </span>            :     // read in the triplets</a>
+<a name="861"><span class="lineNum">     861 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="862"><span class="lineNum">     862 </span>            : </a>
+<a name="863"><span class="lineNum">     863 </span><span class="lineCov">       1645 :     GrB_Index i = -1, j = 0 ;</span></a>
+<a name="864"><span class="lineNum">     864 </span><span class="lineCov">       1645 :     GrB_Index nvals2 = 0 ;</span></a>
+<a name="865"><span class="lineNum">     865 </span><span class="lineCov">    4055967 :     for (int64_t k = 0 ; k &lt; nvals ; k++)</span></a>
+<a name="866"><span class="lineNum">     866 </span>            :     {</a>
+<a name="867"><span class="lineNum">     867 </span>            : </a>
+<a name="868"><span class="lineNum">     868 </span>            :         //----------------------------------------------------------------------</a>
+<a name="869"><span class="lineNum">     869 </span>            :         // get the next triplet, skipping blank lines and comment lines</a>
+<a name="870"><span class="lineNum">     870 </span>            :         //----------------------------------------------------------------------</a>
+<a name="871"><span class="lineNum">     871 </span>            : </a>
+<a name="872"><span class="lineNum">     872 </span>            :         uint8_t x [MAXLINE] ;       // scalar value</a>
+<a name="873"><span class="lineNum">     873 </span>            : </a>
+<a name="874"><span class="lineNum">     874 </span>            :         while (true)</a>
+<a name="875"><span class="lineNum">     875 </span><span class="lineCov">         45 :         {</span></a>
+<a name="876"><span class="lineNum">     876 </span>            : </a>
+<a name="877"><span class="lineNum">     877 </span>            :             //------------------------------------------------------------------</a>
+<a name="878"><span class="lineNum">     878 </span>            :             // read the file until finding the next triplet</a>
+<a name="879"><span class="lineNum">     879 </span>            :             //------------------------------------------------------------------</a>
+<a name="880"><span class="lineNum">     880 </span>            : </a>
+<a name="881"><span class="lineNum">     881 </span><span class="lineCov">    4054378 :             bool ok = get_line (f, buf) ;</span></a>
+<a name="882"><span class="lineNum">     882 </span><span class="lineCov">    4054378 :             line++ ;</span></a>
+<a name="883"><span class="lineNum">     883 </span><span class="lineCov">    4054388 :             LG_ASSERT_MSG (ok, LAGRAPH_IO_ERROR, &quot;premature EOF&quot;) ;</span></a>
+<a name="884"><span class="lineNum">     884 </span><span class="lineCov">    4054377 :             if (is_blank_line (buf))</span></a>
+<a name="885"><span class="lineNum">     885 </span>            :             {</a>
+<a name="886"><span class="lineNum">     886 </span>            :                 // blank line or comment</a>
+<a name="887"><span class="lineNum">     887 </span><span class="lineCov">         45 :                 continue ;</span></a>
+<a name="888"><span class="lineNum">     888 </span>            :             }</a>
+<a name="889"><span class="lineNum">     889 </span>            : </a>
+<a name="890"><span class="lineNum">     890 </span>            :             //------------------------------------------------------------------</a>
+<a name="891"><span class="lineNum">     891 </span>            :             // get the row and column index</a>
+<a name="892"><span class="lineNum">     892 </span>            :             //------------------------------------------------------------------</a>
+<a name="893"><span class="lineNum">     893 </span>            : </a>
+<a name="894"><span class="lineNum">     894 </span><span class="lineCov">    4054332 :             char *p = buf ;</span></a>
+<a name="895"><span class="lineNum">     895 </span><span class="lineCov">    4054332 :             if (MM_fmt == MM_array)</span></a>
+<a name="896"><span class="lineNum">     896 </span>            :             {</a>
+<a name="897"><span class="lineNum">     897 </span>            :                 // array format, column major order</a>
+<a name="898"><span class="lineNum">     898 </span><span class="lineCov">        977 :                 i++ ;</span></a>
+<a name="899"><span class="lineNum">     899 </span><span class="lineCov">        977 :                 if (i == nrows)</span></a>
+<a name="900"><span class="lineNum">     900 </span>            :                 {</a>
+<a name="901"><span class="lineNum">     901 </span><span class="lineCov">        152 :                     j++ ;</span></a>
+<a name="902"><span class="lineNum">     902 </span><span class="lineCov">        152 :                     if (MM_storage == MM_general)</span></a>
+<a name="903"><span class="lineNum">     903 </span>            :                     {</a>
+<a name="904"><span class="lineNum">     904 </span>            :                         // dense matrix in column major order</a>
+<a name="905"><span class="lineNum">     905 </span><span class="lineCov">         74 :                         i = 0 ;</span></a>
+<a name="906"><span class="lineNum">     906 </span>            :                     }</a>
+<a name="907"><span class="lineNum">     907 </span>            :                     else</a>
+<a name="908"><span class="lineNum">     908 </span>            :                     {</a>
+<a name="909"><span class="lineNum">     909 </span>            :                         // dense matrix in column major order, only the lower</a>
+<a name="910"><span class="lineNum">     910 </span>            :                         // triangular form is present, including the diagonal</a>
+<a name="911"><span class="lineNum">     911 </span><span class="lineCov">         78 :                         i = j ;</span></a>
+<a name="912"><span class="lineNum">     912 </span>            :                     }</a>
+<a name="913"><span class="lineNum">     913 </span>            :                 }</a>
+<a name="914"><span class="lineNum">     914 </span>            :             }</a>
+<a name="915"><span class="lineNum">     915 </span>            :             else</a>
+<a name="916"><span class="lineNum">     916 </span>            :             {</a>
+<a name="917"><span class="lineNum">     917 </span>            :                 // coordinate format; read the row index and column index</a>
+<a name="918"><span class="lineNum">     918 </span><span class="lineCov">    4053355 :                 int inputs = sscanf (p, &quot;%&quot; SCNu64 &quot; %&quot; SCNu64, &amp;i, &amp;j) ;</span></a>
+<a name="919"><span class="lineNum">     919 </span><span class="lineCov">    4053355 :                 LG_ASSERT_MSGF (inputs == 2, LAGRAPH_IO_ERROR,</span></a>
+<a name="920"><span class="lineNum">     920 </span>            :                     &quot;line %&quot; PRId64 &quot; of input file: indices invalid&quot;, line) ;</a>
+<a name="921"><span class="lineNum">     921 </span>            :                 // check the indices (they are 1-based in the MM file format)</a>
+<a name="922"><span class="lineNum">     922 </span><span class="lineCov">    4053354 :                 LG_ASSERT_MSGF (i &gt;= 1 &amp;&amp; i &lt;= nrows, GrB_INDEX_OUT_OF_BOUNDS,</span></a>
+<a name="923"><span class="lineNum">     923 </span>            :                     &quot;line %&quot; PRId64 &quot; of input file: row index %&quot; PRIu64</a>
+<a name="924"><span class="lineNum">     924 </span>            :                     &quot; out of range (must be in range 1 to %&quot; PRIu64&quot;)&quot;,</a>
+<a name="925"><span class="lineNum">     925 </span>            :                     line, i, nrows) ;</a>
+<a name="926"><span class="lineNum">     926 </span><span class="lineCov">    4053354 :                 LG_ASSERT_MSGF (j &gt;= 1 &amp;&amp; j &lt;= ncols, GrB_INDEX_OUT_OF_BOUNDS,</span></a>
+<a name="927"><span class="lineNum">     927 </span>            :                     &quot;line %&quot; PRId64 &quot; of input file: column index %&quot; PRIu64</a>
+<a name="928"><span class="lineNum">     928 </span>            :                     &quot; out of range (must be in range 1 to %&quot; PRIu64&quot;)&quot;,</a>
+<a name="929"><span class="lineNum">     929 </span>            :                     line, j, ncols) ;</a>
+<a name="930"><span class="lineNum">     930 </span>            :                 // convert from 1-based to 0-based.</a>
+<a name="931"><span class="lineNum">     931 </span><span class="lineCov">    4053353 :                 i-- ;</span></a>
+<a name="932"><span class="lineNum">     932 </span><span class="lineCov">    4053353 :                 j-- ;</span></a>
+<a name="933"><span class="lineNum">     933 </span>            :                 // advance p to the 3rd token to get the value of the entry</a>
+<a name="934"><span class="lineNum">     934 </span><span class="lineCov">    4053353 :                 while (*p &amp;&amp;  isspace (*p)) p++ ;   // skip any leading spaces</span></a>
+<a name="935"><span class="lineNum">     935 </span><span class="lineCov">   17619616 :                 while (*p &amp;&amp; !isspace (*p)) p++ ;   // skip the row index</span></a>
+<a name="936"><span class="lineNum">     936 </span><span class="lineCov">    8106706 :                 while (*p &amp;&amp;  isspace (*p)) p++ ;   // skip any spaces</span></a>
+<a name="937"><span class="lineNum">     937 </span><span class="lineCov">   17350928 :                 while (*p &amp;&amp; !isspace (*p)) p++ ;   // skip the column index</span></a>
+<a name="938"><span class="lineNum">     938 </span>            :             }</a>
+<a name="939"><span class="lineNum">     939 </span>            : </a>
+<a name="940"><span class="lineNum">     940 </span>            :             //------------------------------------------------------------------</a>
+<a name="941"><span class="lineNum">     941 </span>            :             // read the value of the entry</a>
+<a name="942"><span class="lineNum">     942 </span>            :             //------------------------------------------------------------------</a>
+<a name="943"><span class="lineNum">     943 </span>            : </a>
+<a name="944"><span class="lineNum">     944 </span><span class="lineCov">    8155058 :             while (*p &amp;&amp; isspace (*p)) p++ ;        // skip any spaces</span></a>
+<a name="945"><span class="lineNum">     945 </span>            : </a>
+<a name="946"><span class="lineNum">     946 </span><span class="lineCov">    4054330 :             ok = read_entry (p, type, MM_type == MM_pattern, x) ;</span></a>
+<a name="947"><span class="lineNum">     947 </span><span class="lineCov">    4054330 :             LG_ASSERT_MSGF (ok, LAGRAPH_IO_ERROR, &quot;entry value invalid on line&quot;</span></a>
+<a name="948"><span class="lineNum">     948 </span>            :                 &quot; %&quot; PRId64 &quot; of input file&quot;, line) ;</a>
+<a name="949"><span class="lineNum">     949 </span>            : </a>
+<a name="950"><span class="lineNum">     950 </span>            :             //------------------------------------------------------------------</a>
+<a name="951"><span class="lineNum">     951 </span>            :             // set the value in the matrix</a>
+<a name="952"><span class="lineNum">     952 </span>            :             //------------------------------------------------------------------</a>
+<a name="953"><span class="lineNum">     953 </span>            : </a>
+<a name="954"><span class="lineNum">     954 </span><span class="lineCov">    4054322 :             set_value (typesize, i, j, x, I, J, X, &amp;nvals2) ;</span></a>
+<a name="955"><span class="lineNum">     955 </span>            : </a>
+<a name="956"><span class="lineNum">     956 </span>            :             //------------------------------------------------------------------</a>
+<a name="957"><span class="lineNum">     957 </span>            :             // also set the A(j,i) entry, if symmetric</a>
+<a name="958"><span class="lineNum">     958 </span>            :             //------------------------------------------------------------------</a>
+<a name="959"><span class="lineNum">     959 </span>            : </a>
+<a name="960"><span class="lineNum">     960 </span><span class="lineCov">    4054322 :             if (i != j &amp;&amp; MM_storage != MM_general)</span></a>
+<a name="961"><span class="lineNum">     961 </span>            :             {</a>
+<a name="962"><span class="lineNum">     962 </span><span class="lineCov">    2237022 :                 if (MM_storage == MM_symmetric)</span></a>
+<a name="963"><span class="lineNum">     963 </span>            :                 {</a>
+<a name="964"><span class="lineNum">     964 </span><span class="lineCov">    2235682 :                     set_value (typesize, j, i, x, I, J, X, &amp;nvals2) ;</span></a>
+<a name="965"><span class="lineNum">     965 </span>            :                 }</a>
+<a name="966"><span class="lineNum">     966 </span><span class="lineCov">       1340 :                 else if (MM_storage == MM_skew_symmetric)</span></a>
+<a name="967"><span class="lineNum">     967 </span>            :                 {</a>
+<a name="968"><span class="lineNum">     968 </span><span class="lineCov">       1340 :                     negate_scalar (type, x) ;</span></a>
+<a name="969"><span class="lineNum">     969 </span><span class="lineCov">       1340 :                     set_value (typesize, j, i, x, I, J, X, &amp;nvals2) ;</span></a>
+<a name="970"><span class="lineNum">     970 </span>            :                 }</a>
+<a name="971"><span class="lineNum">     971 </span>            :                 #if 0</a>
+<a name="972"><span class="lineNum">     972 </span>            :                 else if (MM_storage == MM_hermitian)</a>
+<a name="973"><span class="lineNum">     973 </span>            :                 {</a>
+<a name="974"><span class="lineNum">     974 </span>            :                     double complex *value = (double complex *) x ;</a>
+<a name="975"><span class="lineNum">     975 </span>            :                     (*value) = conj (*value) ;</a>
+<a name="976"><span class="lineNum">     976 </span>            :                     set_value (typesize, j, i, x, I, J, X, &amp;nvals2) ;</a>
+<a name="977"><span class="lineNum">     977 </span>            :                 }</a>
+<a name="978"><span class="lineNum">     978 </span>            :                 #endif</a>
+<a name="979"><span class="lineNum">     979 </span>            :             }</a>
+<a name="980"><span class="lineNum">     980 </span>            : </a>
+<a name="981"><span class="lineNum">     981 </span>            :             // one more entry has been read in</a>
+<a name="982"><span class="lineNum">     982 </span><span class="lineCov">    4054322 :             break ;</span></a>
+<a name="983"><span class="lineNum">     983 </span>            :         }</a>
+<a name="984"><span class="lineNum">     984 </span>            :     }</a>
+<a name="985"><span class="lineNum">     985 </span>            : </a>
+<a name="986"><span class="lineNum">     986 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="987"><span class="lineNum">     987 </span>            :     // build the final matrix</a>
+<a name="988"><span class="lineNum">     988 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="989"><span class="lineNum">     989 </span>            : </a>
+<a name="990"><span class="lineNum">     990 </span><span class="lineCov">       1634 :     if (type == GrB_BOOL)</span></a>
+<a name="991"><span class="lineNum">     991 </span>            :     {</a>
+<a name="992"><span class="lineNum">     992 </span><span class="lineCov">        528 :         GRB_TRY (GrB_Matrix_build_BOOL (*A, I, J, (bool *) X, nvals2, NULL)) ;</span></a>
+<a name="993"><span class="lineNum">     993 </span>            :     }</a>
+<a name="994"><span class="lineNum">     994 </span><span class="lineCov">       1106 :     else if (type == GrB_INT8)</span></a>
+<a name="995"><span class="lineNum">     995 </span>            :     {</a>
+<a name="996"><span class="lineNum">     996 </span><span class="lineCov">         46 :         GRB_TRY (GrB_Matrix_build_INT8 (*A, I, J, (int8_t *) X, nvals2, NULL)) ;</span></a>
+<a name="997"><span class="lineNum">     997 </span>            :     }</a>
+<a name="998"><span class="lineNum">     998 </span><span class="lineCov">       1060 :     else if (type == GrB_INT16)</span></a>
+<a name="999"><span class="lineNum">     999 </span>            :     {</a>
+<a name="1000"><span class="lineNum">    1000 </span><span class="lineCov">         47 :         GRB_TRY (GrB_Matrix_build_INT16 (*A, I, J, (int16_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1001"><span class="lineNum">    1001 </span>            :     }</a>
+<a name="1002"><span class="lineNum">    1002 </span><span class="lineCov">       1013 :     else if (type == GrB_INT32)</span></a>
+<a name="1003"><span class="lineNum">    1003 </span>            :     {</a>
+<a name="1004"><span class="lineNum">    1004 </span><span class="lineCov">        137 :         GRB_TRY (GrB_Matrix_build_INT32 (*A, I, J, (int32_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1005"><span class="lineNum">    1005 </span>            :     }</a>
+<a name="1006"><span class="lineNum">    1006 </span><span class="lineCov">        876 :     else if (type == GrB_INT64)</span></a>
+<a name="1007"><span class="lineNum">    1007 </span>            :     {</a>
+<a name="1008"><span class="lineNum">    1008 </span><span class="lineCov">        232 :         GRB_TRY (GrB_Matrix_build_INT64 (*A, I, J, (int64_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1009"><span class="lineNum">    1009 </span>            :     }</a>
+<a name="1010"><span class="lineNum">    1010 </span><span class="lineCov">        644 :     else if (type == GrB_UINT8)</span></a>
+<a name="1011"><span class="lineNum">    1011 </span>            :     {</a>
+<a name="1012"><span class="lineNum">    1012 </span><span class="lineCov">         24 :         GRB_TRY (GrB_Matrix_build_UINT8 (*A, I, J, (uint8_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1013"><span class="lineNum">    1013 </span>            :     }</a>
+<a name="1014"><span class="lineNum">    1014 </span><span class="lineCov">        620 :     else if (type == GrB_UINT16)</span></a>
+<a name="1015"><span class="lineNum">    1015 </span>            :     {</a>
+<a name="1016"><span class="lineNum">    1016 </span><span class="lineCov">         24 :         GRB_TRY (GrB_Matrix_build_UINT16 (*A, I, J, (uint16_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1017"><span class="lineNum">    1017 </span>            :     }</a>
+<a name="1018"><span class="lineNum">    1018 </span><span class="lineCov">        596 :     else if (type == GrB_UINT32)</span></a>
+<a name="1019"><span class="lineNum">    1019 </span>            :     {</a>
+<a name="1020"><span class="lineNum">    1020 </span><span class="lineCov">         24 :         GRB_TRY (GrB_Matrix_build_UINT32 (*A, I, J, (uint32_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1021"><span class="lineNum">    1021 </span>            :     }</a>
+<a name="1022"><span class="lineNum">    1022 </span><span class="lineCov">        572 :     else if (type == GrB_UINT64)</span></a>
+<a name="1023"><span class="lineNum">    1023 </span>            :     {</a>
+<a name="1024"><span class="lineNum">    1024 </span><span class="lineCov">         26 :         GRB_TRY (GrB_Matrix_build_UINT64 (*A, I, J, (uint64_t *) X, nvals2, NULL)) ;</span></a>
+<a name="1025"><span class="lineNum">    1025 </span>            :     }</a>
+<a name="1026"><span class="lineNum">    1026 </span><span class="lineCov">        546 :     else if (type == GrB_FP32)</span></a>
+<a name="1027"><span class="lineNum">    1027 </span>            :     {</a>
+<a name="1028"><span class="lineNum">    1028 </span><span class="lineCov">         84 :         GRB_TRY (GrB_Matrix_build_FP32 (*A, I, J, (float *) X, nvals2, NULL)) ;</span></a>
+<a name="1029"><span class="lineNum">    1029 </span>            :     }</a>
+<a name="1030"><span class="lineNum">    1030 </span><span class="lineCov">        462 :     else if (type == GrB_FP64)</span></a>
+<a name="1031"><span class="lineNum">    1031 </span>            :     {</a>
+<a name="1032"><span class="lineNum">    1032 </span><span class="lineCov">        462 :         GRB_TRY (GrB_Matrix_build_FP64 (*A, I, J, (double *) X, nvals2, NULL)) ;</span></a>
+<a name="1033"><span class="lineNum">    1033 </span>            :     }</a>
+<a name="1034"><span class="lineNum">    1034 </span>            : #if 0</a>
+<a name="1035"><span class="lineNum">    1035 </span>            :     else if (type == GxB_FC32)</a>
+<a name="1036"><span class="lineNum">    1036 </span>            :     {</a>
+<a name="1037"><span class="lineNum">    1037 </span>            :         GRB_TRY (GxB_Matrix_build_FC32 (*A, I, J, (GxB_FC32_t *) X, nvals2, NULL)) ;</a>
+<a name="1038"><span class="lineNum">    1038 </span>            :     }</a>
+<a name="1039"><span class="lineNum">    1039 </span>            :     else if (type == GxB_FC64)</a>
+<a name="1040"><span class="lineNum">    1040 </span>            :     {</a>
+<a name="1041"><span class="lineNum">    1041 </span>            :         GRB_TRY (GxB_Matrix_build_FC64 (*A, I, J, (GxB_FC64_t *) X, nvals2, NULL)) ;</a>
+<a name="1042"><span class="lineNum">    1042 </span>            :     }</a>
+<a name="1043"><span class="lineNum">    1043 </span>            : #endif</a>
+<a name="1044"><span class="lineNum">    1044 </span>            : </a>
+<a name="1045"><span class="lineNum">    1045 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="1046"><span class="lineNum">    1046 </span>            :     // free workspace and return result</a>
+<a name="1047"><span class="lineNum">    1047 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="1048"><span class="lineNum">    1048 </span>            : </a>
+<a name="1049"><span class="lineNum">    1049 </span><span class="lineCov">       1247 :     LG_FREE_WORK ;</span></a>
+<a name="1050"><span class="lineNum">    1050 </span><span class="lineCov">       1247 :     return (GrB_SUCCESS) ;</span></a>
+<a name="1051"><span class="lineNum">    1051 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMWrite.c.func-sort-c.html b/src/utility/LAGraph_MMWrite.c.func-sort-c.html
new file mode 100644
index 0000000000..1d587b1f9e
--- /dev/null
+++ b/src/utility/LAGraph_MMWrite.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMWrite.c<span style="font-size: 80%;"> (<a href="LAGraph_MMWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_MMWrite.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMWrite.c.gcov.html#173">LAGraph_MMWrite</a></td>
+              <td class="coverFnHi">1329</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMWrite.c.gcov.html#52">print_double</a></td>
+              <td class="coverFnHi">120798</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMWrite.c.func.html b/src/utility/LAGraph_MMWrite.c.func.html
new file mode 100644
index 0000000000..44e96f8580
--- /dev/null
+++ b/src/utility/LAGraph_MMWrite.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMWrite.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMWrite.c<span style="font-size: 80%;"> (<a href="LAGraph_MMWrite.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_MMWrite.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMWrite.c.gcov.html#173">LAGraph_MMWrite</a></td>
+              <td class="coverFnHi">1329</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_MMWrite.c.gcov.html#52">print_double</a></td>
+              <td class="coverFnHi">120798</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_MMWrite.c.gcov.html b/src/utility/LAGraph_MMWrite.c.gcov.html
new file mode 100644
index 0000000000..9af6fdd693
--- /dev/null
+++ b/src/utility/LAGraph_MMWrite.c.gcov.html
@@ -0,0 +1,649 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_MMWrite.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_MMWrite.c<span style="font-size: 80%;"> (source / <a href="LAGraph_MMWrite.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntry">166</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_MMWrite:  write a matrix to a Matrix Market file</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_MMWrite:  write a matrix to a Matrix Market file.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // Writes a matrix to a file in the Matrix Market format.  See LAGraph_MMRead</a>
+<a name="21"><span class="lineNum">      21 </span>            : // for a description of the format.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // The Matrix Market format is described at:</a>
+<a name="24"><span class="lineNum">      24 </span>            : // https://math.nist.gov/MatrixMarket/formats.html</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : // Parts of this code are from SuiteSparse/CHOLMOD/Check/cholmod_write.c, and</a>
+<a name="27"><span class="lineNum">      27 </span>            : // are used here by permission of the author of CHOLMOD/Check (T. A. Davis).</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #undef  LG_FREE_WORK</a>
+<a name="32"><span class="lineNum">      32 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="33"><span class="lineNum">      33 </span>            : {                                       \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ; \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LAGraph_Free ((void **) &amp;J, NULL) ; \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     LAGraph_Free ((void **) &amp;K, NULL) ; \</a>
+<a name="37"><span class="lineNum">      37 </span>            :     LAGraph_Free ((void **) &amp;X, NULL) ; \</a>
+<a name="38"><span class="lineNum">      38 </span>            :     GrB_free (&amp;AT) ;                    \</a>
+<a name="39"><span class="lineNum">      39 </span>            :     GrB_free (&amp;M) ;                     \</a>
+<a name="40"><span class="lineNum">      40 </span>            :     GrB_free (&amp;C) ;                     \</a>
+<a name="41"><span class="lineNum">      41 </span>            : }</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            : #undef  LG_FREE_ALL</a>
+<a name="44"><span class="lineNum">      44 </span>            : #define LG_FREE_ALL LG_FREE_WORK</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            : //------------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : // print_double</a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : // Print a double value to the file, using the shortest format that ensures the</a>
+<a name="51"><span class="lineNum">      51 </span>            : // value is written precisely.  Returns true if successful, false if an I/O</a>
+<a name="52"><span class="lineNum">      52 </span>            : // error occurred.</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">     120798 : static bool print_double</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : (</a>
+<a name="56"><span class="lineNum">      56 </span>            :     FILE *f,        // file to print to</a>
+<a name="57"><span class="lineNum">      57 </span>            :     double x        // value to print</a>
+<a name="58"><span class="lineNum">      58 </span>            : )</a>
+<a name="59"><span class="lineNum">      59 </span>            : {</a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     char s [MAXLINE], *p ;</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">     120798 :     int64_t i, dest = 0, src = 0 ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            :     int width, ok ;</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            :     // handle Inf and NaN</a>
+<a name="67"><span class="lineNum">      67 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">     120798 :     if (isnan (x))</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">          1 :         return (fprintf (f, &quot;nan&quot;) &gt; 0) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     }</a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">     120797 :     if (isinf (x))</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     {</a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">         12 :         return (fprintf (f, (x &lt; 0) ? &quot;-inf&quot; : &quot;inf&quot;) &gt; 0) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // find the smallest acceptable precision</a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">     869437 :     for (width = 6 ; width &lt; 20 ; width++)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span>            :         double y ;</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">     869437 :         sprintf (s, &quot;%.*g&quot;, width, x) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">     869437 :         sscanf (s, &quot;%lg&quot;, &amp;y) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">     869437 :         if (x == y) break ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     }</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // shorten the string</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span>            :     // change &quot;e+0&quot; to &quot;e&quot;, change &quot;e+&quot; to &quot;e&quot;, and change &quot;e-0&quot; to &quot;e-&quot;</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">    1774378 :     for (i = 0 ; i &lt; MAXLINE &amp;&amp; s [i] != '\0' ; i++)</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :     {</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">    1671099 :         if (s [i] == 'e')</span></a>
+<a name="98"><span class="lineNum">      98 </span>            :         {</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">      17506 :             if (s [i+1] == '+')</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :             {</a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">       3532 :                 dest = i+1 ;</span></a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">       3532 :                 if (s [i+2] == '0')</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :                 {</a>
+<a name="104"><span class="lineNum">     104 </span>            :                     // delete characters s[i+1] and s[i+2]</a>
+<a name="105"><span class="lineNum">     105 </span><span class="lineCov">       3324 :                     src = i+3 ;</span></a>
+<a name="106"><span class="lineNum">     106 </span>            :                 }</a>
+<a name="107"><span class="lineNum">     107 </span>            :                 else</a>
+<a name="108"><span class="lineNum">     108 </span>            :                 {</a>
+<a name="109"><span class="lineNum">     109 </span>            :                     // delete characters s[i+1]</a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">        208 :                     src = i+2 ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            :                 }</a>
+<a name="112"><span class="lineNum">     112 </span>            :             }</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">      13974 :             else if (s [i+1] == '-')</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :             {</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">      13974 :                 dest = i+2 ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">      13974 :                 if (s [i+2] == '0')</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :                 {</a>
+<a name="118"><span class="lineNum">     118 </span>            :                     // delete character s[i+2]</a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">      12258 :                     src = i+3 ;</span></a>
+<a name="120"><span class="lineNum">     120 </span>            :                 }</a>
+<a name="121"><span class="lineNum">     121 </span>            :                 else</a>
+<a name="122"><span class="lineNum">     122 </span>            :                 {</a>
+<a name="123"><span class="lineNum">     123 </span>            :                     // no change</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">       1716 :                     break ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :                 }</a>
+<a name="126"><span class="lineNum">     126 </span>            :             }</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">      31788 :             while (s [src] != '\0')</span></a>
+<a name="128"><span class="lineNum">     128 </span>            :             {</a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">      15998 :                 s [dest++] = s [src++] ;</span></a>
+<a name="130"><span class="lineNum">     130 </span>            :             }</a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">      15790 :             s [dest] = '\0' ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">      15790 :             break ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            :         }</a>
+<a name="134"><span class="lineNum">     134 </span>            :     }</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            :     // delete the leading &quot;0&quot; if present and not necessary</a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">     120785 :     p = s ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">     120785 :     s [MAXLINE-1] = '\0' ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">     120785 :     i = strlen (s) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">     120785 :     if (i &gt; 2 &amp;&amp; s [0] == '0' &amp;&amp; s [1] == '.')</span></a>
+<a name="141"><span class="lineNum">     141 </span>            :     {</a>
+<a name="142"><span class="lineNum">     142 </span>            :         // change &quot;0.x&quot; to &quot;.x&quot;</a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">       9359 :         p = s + 1 ;</span></a>
+<a name="144"><span class="lineNum">     144 </span>            :     }</a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">     111426 :     else if (i &gt; 3 &amp;&amp; s [0] == '-' &amp;&amp; s [1] == '0' &amp;&amp; s [2] == '.')</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :     {</a>
+<a name="147"><span class="lineNum">     147 </span>            :         // change &quot;-0.x&quot; to &quot;-.x&quot;</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">       4528 :         s [1] = '-' ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">       4528 :         p = s + 1 ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     }</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span>            : #if 0</a>
+<a name="153"><span class="lineNum">     153 </span>            :     // double-check</a>
+<a name="154"><span class="lineNum">     154 </span>            :     i = sscanf (p, &quot;%lg&quot;, &amp;z) ;</a>
+<a name="155"><span class="lineNum">     155 </span>            :     if (i != 1 || y != z)</a>
+<a name="156"><span class="lineNum">     156 </span>            :     {</a>
+<a name="157"><span class="lineNum">     157 </span>            :         // oops! something went wrong in the &quot;e+0&quot; edit, above.</a>
+<a name="158"><span class="lineNum">     158 </span>            :         // this &quot;cannot&quot; happen</a>
+<a name="159"><span class="lineNum">     159 </span>            :         sprintf (s, &quot;%.*g&quot;, width, x) ;</a>
+<a name="160"><span class="lineNum">     160 </span>            :         p = s ;</a>
+<a name="161"><span class="lineNum">     161 </span>            :     }</a>
+<a name="162"><span class="lineNum">     162 </span>            : #endif</a>
+<a name="163"><span class="lineNum">     163 </span>            : </a>
+<a name="164"><span class="lineNum">     164 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="165"><span class="lineNum">     165 </span>            :     // print the value to the file</a>
+<a name="166"><span class="lineNum">     166 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">     120785 :     return (fprintf (f, &quot;%s&quot;, p) &gt; 0) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            : }</a>
+<a name="170"><span class="lineNum">     170 </span>            : </a>
+<a name="171"><span class="lineNum">     171 </span>            : //------------------------------------------------------------------------------</a>
+<a name="172"><span class="lineNum">     172 </span>            : // LAGraph_MMWrite: write a matrix to a MatrixMarket file</a>
+<a name="173"><span class="lineNum">     173 </span>            : //------------------------------------------------------------------------------</a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">       1329 : int LAGraph_MMWrite</span></a>
+<a name="176"><span class="lineNum">     176 </span>            : (</a>
+<a name="177"><span class="lineNum">     177 </span>            :     // input:</a>
+<a name="178"><span class="lineNum">     178 </span>            :     GrB_Matrix A,       // matrix to write to the file</a>
+<a name="179"><span class="lineNum">     179 </span>            :     FILE *f,            // file to write it to, must be already open</a>
+<a name="180"><span class="lineNum">     180 </span>            :     FILE *fcomments,    // optional file with extra comments, may be NULL</a>
+<a name="181"><span class="lineNum">     181 </span>            :     char *msg</a>
+<a name="182"><span class="lineNum">     182 </span>            : )</a>
+<a name="183"><span class="lineNum">     183 </span>            : {</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="186"><span class="lineNum">     186 </span>            :     // check inputs</a>
+<a name="187"><span class="lineNum">     187 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            : </a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">       1329 :     LG_CLEAR_MSG ;</span></a>
+<a name="190"><span class="lineNum">     190 </span><span class="lineCov">       1329 :     void *X = NULL ;</span></a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">       1329 :     GrB_Index *I = NULL, *J = NULL, *K = NULL ;</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">       1329 :     GrB_Matrix M = NULL, AT = NULL, C = NULL ;</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">       1329 :     LG_ASSERT (A != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="194"><span class="lineNum">     194 </span><span class="lineCov">       1328 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            :     // determine the basic matrix properties</a>
+<a name="198"><span class="lineNum">     198 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span>            :     GrB_Index nrows, ncols, nvals ;</a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">       1328 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">       1328 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">       1328 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">       1328 :     GrB_Index n = nrows ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            :     // determine if the matrix is dense</a>
+<a name="208"><span class="lineNum">     208 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">       1328 :     MM_fmt_enum MM_fmt = MM_coordinate ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     // guard against integer overflow</a>
+<a name="213"><span class="lineNum">     213 </span><span class="lineCov">       1328 :     if (((double) nrows * (double) ncols &lt; (double) INT64_MAX) &amp;&amp;</span></a>
+<a name="214"><span class="lineNum">     214 </span><span class="lineCov">       1328 :         (nvals == nrows * ncols))</span></a>
+<a name="215"><span class="lineNum">     215 </span>            :     {</a>
+<a name="216"><span class="lineNum">     216 </span><span class="lineCov">         60 :         MM_fmt = MM_array ;</span></a>
+<a name="217"><span class="lineNum">     217 </span>            :     }</a>
+<a name="218"><span class="lineNum">     218 </span>            : </a>
+<a name="219"><span class="lineNum">     219 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="220"><span class="lineNum">     220 </span>            :     // determine the entry type</a>
+<a name="221"><span class="lineNum">     221 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="222"><span class="lineNum">     222 </span>            : </a>
+<a name="223"><span class="lineNum">     223 </span>            :     GrB_Type type ;</a>
+<a name="224"><span class="lineNum">     224 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">       1328 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">       1328 :     LG_TRY (LAGraph_TypeFromName (&amp;type, atype_name, msg)) ;</span></a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span><span class="lineCov">       1328 :     MM_type_enum MM_type = MM_integer ;</span></a>
+<a name="229"><span class="lineNum">     229 </span>            : </a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">       1328 :     if (type == GrB_BOOL   || type == GrB_INT8   || type == GrB_INT16  ||</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">        889 :         type == GrB_INT32  || type == GrB_INT64  || type == GrB_UINT8  ||</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">        513 :         type == GrB_UINT16 || type == GrB_UINT32 || type == GrB_UINT64)</span></a>
+<a name="233"><span class="lineNum">     233 </span>            :     {</a>
+<a name="234"><span class="lineNum">     234 </span><span class="lineCov">        881 :         MM_type = MM_integer ;</span></a>
+<a name="235"><span class="lineNum">     235 </span>            :     }</a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        447 :     else if (type == GrB_FP32 || type == GrB_FP64)</span></a>
+<a name="237"><span class="lineNum">     237 </span>            :     {</a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">        446 :         MM_type = MM_real ;</span></a>
+<a name="239"><span class="lineNum">     239 </span>            :     }</a>
+<a name="240"><span class="lineNum">     240 </span>            :     #if 0</a>
+<a name="241"><span class="lineNum">     241 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="242"><span class="lineNum">     242 </span>            :     else if (type == GxB_FC32 || type == GxB_FC64)</a>
+<a name="243"><span class="lineNum">     243 </span>            :     {</a>
+<a name="244"><span class="lineNum">     244 </span>            :         MM_type = MM_complex ;</a>
+<a name="245"><span class="lineNum">     245 </span>            :     }</a>
+<a name="246"><span class="lineNum">     246 </span>            :     #endif</a>
+<a name="247"><span class="lineNum">     247 </span>            :     #endif</a>
+<a name="248"><span class="lineNum">     248 </span>            :     else</a>
+<a name="249"><span class="lineNum">     249 </span>            :     {</a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            :     }</a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="254"><span class="lineNum">     254 </span>            :     // determine symmetry</a>
+<a name="255"><span class="lineNum">     255 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="256"><span class="lineNum">     256 </span>            : </a>
+<a name="257"><span class="lineNum">     257 </span><span class="lineCov">       1327 :     MM_storage_enum MM_storage = MM_general ;</span></a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">       1327 :     if (nrows == ncols)</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :     {</a>
+<a name="261"><span class="lineNum">     261 </span>            :         // AT = A'</a>
+<a name="262"><span class="lineNum">     262 </span><span class="lineCov">       1803 :         GRB_TRY (GrB_Matrix_new (&amp;AT, type, n, n)) ;</span></a>
+<a name="263"><span class="lineNum">     263 </span><span class="lineCov">       1152 :         GRB_TRY (GrB_transpose (AT, NULL, NULL, A, NULL)) ;</span></a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span>            :         //----------------------------------------------------------------------</a>
+<a name="266"><span class="lineNum">     266 </span>            :         // check for symmetry</a>
+<a name="267"><span class="lineNum">     267 </span>            :         //----------------------------------------------------------------------</a>
+<a name="268"><span class="lineNum">     268 </span>            : </a>
+<a name="269"><span class="lineNum">     269 </span><span class="lineCov">       1046 :         bool isequal = false ;</span></a>
+<a name="270"><span class="lineNum">     270 </span><span class="lineCov">       1046 :         LG_TRY (LAGraph_Matrix_IsEqual (&amp;isequal, A, AT, msg)) ;</span></a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        778 :         if (isequal)</span></a>
+<a name="272"><span class="lineNum">     272 </span>            :         {</a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        237 :             MM_storage = MM_symmetric ;</span></a>
+<a name="274"><span class="lineNum">     274 </span>            :         }</a>
+<a name="275"><span class="lineNum">     275 </span>            : </a>
+<a name="276"><span class="lineNum">     276 </span>            :         //----------------------------------------------------------------------</a>
+<a name="277"><span class="lineNum">     277 </span>            :         // check for skew-symmetry</a>
+<a name="278"><span class="lineNum">     278 </span>            :         //----------------------------------------------------------------------</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            :         // for signed types only</a>
+<a name="281"><span class="lineNum">     281 </span><span class="lineCov">        778 :         if (MM_storage == MM_general)</span></a>
+<a name="282"><span class="lineNum">     282 </span>            :         {</a>
+<a name="283"><span class="lineNum">     283 </span>            :             // select the operator</a>
+<a name="284"><span class="lineNum">     284 </span><span class="lineCov">        541 :             GrB_UnaryOp op = NULL ;</span></a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">        541 :             if      (type == GrB_INT8 ) op = GrB_AINV_INT8  ;</span></a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">        502 :             else if (type == GrB_INT16) op = GrB_AINV_INT16 ;</span></a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">        463 :             else if (type == GrB_INT32) op = GrB_AINV_INT32 ;</span></a>
+<a name="288"><span class="lineNum">     288 </span><span class="lineCov">        388 :             else if (type == GrB_INT64) op = GrB_AINV_INT64 ;</span></a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">        288 :             else if (type == GrB_FP32 ) op = GrB_AINV_FP32  ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">        249 :             else if (type == GrB_FP64 ) op = GrB_AINV_FP64  ;</span></a>
+<a name="291"><span class="lineNum">     291 </span>            :             #if 0</a>
+<a name="292"><span class="lineNum">     292 </span>            :             else if (type == GxB_FC32 ) op = GxB_AINV_FC32 ;</a>
+<a name="293"><span class="lineNum">     293 </span>            :             else if (type == GxB_FC64 ) op = GxB_AINV_FC64 ;</a>
+<a name="294"><span class="lineNum">     294 </span>            :             #endif</a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">        541 :             if (op != NULL)</span></a>
+<a name="296"><span class="lineNum">     296 </span>            :             {</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">        444 :                 GRB_TRY (GrB_apply (AT, NULL, NULL, op, AT, NULL)) ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">        443 :                 LG_TRY (LAGraph_Matrix_IsEqual (&amp;isequal, A, AT, msg)) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span><span class="lineCov">        308 :                 if (isequal)</span></a>
+<a name="300"><span class="lineNum">     300 </span>            :                 {</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">        102 :                     MM_storage = MM_skew_symmetric ;</span></a>
+<a name="302"><span class="lineNum">     302 </span>            :                 }</a>
+<a name="303"><span class="lineNum">     303 </span>            :             }</a>
+<a name="304"><span class="lineNum">     304 </span>            :         }</a>
+<a name="305"><span class="lineNum">     305 </span>            : </a>
+<a name="306"><span class="lineNum">     306 </span>            :         //----------------------------------------------------------------------</a>
+<a name="307"><span class="lineNum">     307 </span>            :         // check for Hermitian (not yet supported)</a>
+<a name="308"><span class="lineNum">     308 </span>            :         //----------------------------------------------------------------------</a>
+<a name="309"><span class="lineNum">     309 </span>            : </a>
+<a name="310"><span class="lineNum">     310 </span>            :         #if 0</a>
+<a name="311"><span class="lineNum">     311 </span>            :         if (MM_type == MM_complex &amp;&amp; MM_storage == MM_general)</a>
+<a name="312"><span class="lineNum">     312 </span>            :         {</a>
+<a name="313"><span class="lineNum">     313 </span>            :             LG_TRY (LAGraph_Matrix_IsEqualOp (&amp;isequal, A, AT,</a>
+<a name="314"><span class="lineNum">     314 </span>            :                 LAGraph_HERMITIAN_ComplexFP64, msg)) ;</a>
+<a name="315"><span class="lineNum">     315 </span>            :             if (isequal)</a>
+<a name="316"><span class="lineNum">     316 </span>            :             {</a>
+<a name="317"><span class="lineNum">     317 </span>            :                 MM_storage = MM_hermitian ;</a>
+<a name="318"><span class="lineNum">     318 </span>            :             }</a>
+<a name="319"><span class="lineNum">     319 </span>            :         }</a>
+<a name="320"><span class="lineNum">     320 </span>            :         #endif</a>
+<a name="321"><span class="lineNum">     321 </span>            : </a>
+<a name="322"><span class="lineNum">     322 </span><span class="lineCov">        642 :         GrB_free (&amp;AT) ;</span></a>
+<a name="323"><span class="lineNum">     323 </span>            :     }</a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="326"><span class="lineNum">     326 </span>            :     // determine if the matrix is structural-only</a>
+<a name="327"><span class="lineNum">     327 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">        676 :     bool is_structural = false ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        676 :     if (! (MM_storage == MM_skew_symmetric || MM_storage == MM_hermitian))</span></a>
+<a name="331"><span class="lineNum">     331 </span>            :     {</a>
+<a name="332"><span class="lineNum">     332 </span><span class="lineCov">        574 :         if (type == GrB_BOOL)</span></a>
+<a name="333"><span class="lineNum">     333 </span>            :         {</a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">        165 :             GRB_TRY (GrB_reduce (&amp;is_structural, NULL, GrB_LAND_MONOID_BOOL,</span></a>
+<a name="335"><span class="lineNum">     335 </span>            :                 A, NULL)) ;</a>
+<a name="336"><span class="lineNum">     336 </span>            :         }</a>
+<a name="337"><span class="lineNum">     337 </span>            :         else</a>
+<a name="338"><span class="lineNum">     338 </span>            :         {</a>
+<a name="339"><span class="lineNum">     339 </span><span class="lineCov">        409 :             GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, nrows, ncols)) ;</span></a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">        320 :             GrB_BinaryOp op = NULL ;</span></a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">        320 :             if      (type == GrB_INT8  ) op = GrB_EQ_INT8   ;</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">        311 :             else if (type == GrB_INT16 ) op = GrB_EQ_INT16  ;</span></a>
+<a name="343"><span class="lineNum">     343 </span><span class="lineCov">        302 :             else if (type == GrB_INT32 ) op = GrB_EQ_INT32  ;</span></a>
+<a name="344"><span class="lineNum">     344 </span><span class="lineCov">        270 :             else if (type == GrB_INT64 ) op = GrB_EQ_INT64  ;</span></a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">        190 :             else if (type == GrB_UINT8 ) op = GrB_EQ_UINT8  ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        181 :             else if (type == GrB_UINT16) op = GrB_EQ_UINT16 ;</span></a>
+<a name="347"><span class="lineNum">     347 </span><span class="lineCov">        172 :             else if (type == GrB_UINT32) op = GrB_EQ_UINT32 ;</span></a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">        163 :             else if (type == GrB_UINT64) op = GrB_EQ_UINT64 ;</span></a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">        154 :             else if (type == GrB_FP32  ) op = GrB_EQ_FP32   ;</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">        145 :             else if (type == GrB_FP64  ) op = GrB_EQ_FP64   ;</span></a>
+<a name="351"><span class="lineNum">     351 </span>            :             #if 0</a>
+<a name="352"><span class="lineNum">     352 </span>            :             else if (type == GxB_FC32  ) op = GrB_EQ_FC32 ;</a>
+<a name="353"><span class="lineNum">     353 </span>            :             else if (type == GxB_FC64  ) op = GrB_EQ_FC64 ;</a>
+<a name="354"><span class="lineNum">     354 </span>            :             #endif</a>
+<a name="355"><span class="lineNum">     355 </span><span class="lineCov">        320 :             GRB_TRY (GrB_apply (C, NULL, NULL, op, A, 1, NULL)) ;</span></a>
+<a name="356"><span class="lineNum">     356 </span><span class="lineCov">        257 :             GRB_TRY (GrB_reduce (&amp;is_structural, NULL, GrB_LAND_MONOID_BOOL,</span></a>
+<a name="357"><span class="lineNum">     357 </span>            :                 C, NULL)) ;</a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">        257 :             GrB_free (&amp;C) ;</span></a>
+<a name="359"><span class="lineNum">     359 </span>            :         }</a>
+<a name="360"><span class="lineNum">     360 </span><span class="lineCov">        422 :         if (is_structural)</span></a>
+<a name="361"><span class="lineNum">     361 </span>            :         {</a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">        207 :             MM_type = MM_pattern ;</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">        207 :             MM_fmt = MM_coordinate ;</span></a>
+<a name="364"><span class="lineNum">     364 </span>            :         }</a>
+<a name="365"><span class="lineNum">     365 </span>            :     }</a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="368"><span class="lineNum">     368 </span>            :     // write the Matrix Market header</a>
+<a name="369"><span class="lineNum">     369 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">        524 :     FPRINTF (f, &quot;%%%%MatrixMarket matrix&quot;) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span>            : </a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">        524 :     switch (MM_fmt)</span></a>
+<a name="374"><span class="lineNum">     374 </span>            :     {</a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">        496 :         default :</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">        496 :         case MM_coordinate      : FPRINTF (f, &quot; coordinate&quot;)        ; break ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">         28 :         case MM_array           : FPRINTF (f, &quot; array&quot;)             ; break ;</span></a>
+<a name="378"><span class="lineNum">     378 </span>            :     }</a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">        524 :     switch (MM_type)</span></a>
+<a name="381"><span class="lineNum">     381 </span>            :     {</a>
+<a name="382"><span class="lineNum">     382 </span><span class="lineCov">        158 :         default :</span></a>
+<a name="383"><span class="lineNum">     383 </span><span class="lineCov">        158 :         case MM_real            : FPRINTF (f, &quot; real&quot;)              ; break ;</span></a>
+<a name="384"><span class="lineNum">     384 </span><span class="lineCov">        159 :         case MM_integer         : FPRINTF (f, &quot; integer&quot;)           ; break ;</span></a>
+<a name="385"><span class="lineNum">     385 </span>            : //      case MM_complex         : FPRINTF (f, &quot; complex&quot;)           ; break ;</a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">        207 :         case MM_pattern         : FPRINTF (f, &quot; pattern&quot;)           ; break ;</span></a>
+<a name="387"><span class="lineNum">     387 </span>            :     }</a>
+<a name="388"><span class="lineNum">     388 </span>            : </a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">        524 :     switch (MM_storage)</span></a>
+<a name="390"><span class="lineNum">     390 </span>            :     {</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">        215 :         default :</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">        215 :         case MM_general         : FPRINTF (f, &quot; general\n&quot;)         ; break ;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">        207 :         case MM_symmetric       : FPRINTF (f, &quot; symmetric\n&quot;)       ; break ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">        102 :         case MM_skew_symmetric  : FPRINTF (f, &quot; skew-symmetric\n&quot;)  ; break ;</span></a>
+<a name="395"><span class="lineNum">     395 </span>            : //      case MM_hermitian       : FPRINTF (f, &quot; Hermitian\n&quot;)       ; break ;</a>
+<a name="396"><span class="lineNum">     396 </span>            :     }</a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">        524 :     FPRINTF (f, &quot;%%%%GraphBLAS type &quot;) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span><span class="lineCov">        524 :     if      (type == GrB_BOOL  ) { FPRINTF (f, &quot;bool\n&quot;)   ; }</span></a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">        359 :     else if (type == GrB_INT8  ) { FPRINTF (f, &quot;int8_t\n&quot;)   ; }</span></a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">        335 :     else if (type == GrB_INT16 ) { FPRINTF (f, &quot;int16_t\n&quot;)  ; }</span></a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">        311 :     else if (type == GrB_INT32 ) { FPRINTF (f, &quot;int32_t\n&quot;)  ; }</span></a>
+<a name="403"><span class="lineNum">     403 </span><span class="lineCov">        270 :     else if (type == GrB_INT64 ) { FPRINTF (f, &quot;int64_t\n&quot;)  ; }</span></a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">        186 :     else if (type == GrB_UINT8 ) { FPRINTF (f, &quot;uint8_t\n&quot;)  ; }</span></a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">        179 :     else if (type == GrB_UINT16) { FPRINTF (f, &quot;uint16_t\n&quot;) ; }</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">        172 :     else if (type == GrB_UINT32) { FPRINTF (f, &quot;uint32_t\n&quot;) ; }</span></a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">        165 :     else if (type == GrB_UINT64) { FPRINTF (f, &quot;uint64_t\n&quot;) ; }</span></a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">        158 :     else if (type == GrB_FP32  ) { FPRINTF (f, &quot;float\n&quot;)   ; }</span></a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">        134 :     else if (type == GrB_FP64  ) { FPRINTF (f, &quot;double\n&quot;)   ; }</span></a>
+<a name="410"><span class="lineNum">     410 </span>            :     #if 0</a>
+<a name="411"><span class="lineNum">     411 </span>            :     else if (type == GxB_FC32  ) { FPRINTF (f, &quot;float complex\n&quot;)  ; }</a>
+<a name="412"><span class="lineNum">     412 </span>            :     else if (type == GxB_FC64  ) { FPRINTF (f, &quot;double complex\n&quot;) ; }</a>
+<a name="413"><span class="lineNum">     413 </span>            :     #endif</a>
+<a name="414"><span class="lineNum">     414 </span>            : </a>
+<a name="415"><span class="lineNum">     415 </span>            : #if 0</a>
+<a name="416"><span class="lineNum">     416 </span>            :     if      (type == GrB_BOOL  ) { FPRINTF (f, &quot;GrB_BOOL\n&quot;)   ; }</a>
+<a name="417"><span class="lineNum">     417 </span>            :     else if (type == GrB_INT8  ) { FPRINTF (f, &quot;GrB_INT8\n&quot;)   ; }</a>
+<a name="418"><span class="lineNum">     418 </span>            :     else if (type == GrB_INT16 ) { FPRINTF (f, &quot;GrB_INT16\n&quot;)  ; }</a>
+<a name="419"><span class="lineNum">     419 </span>            :     else if (type == GrB_INT32 ) { FPRINTF (f, &quot;GrB_INT32\n&quot;)  ; }</a>
+<a name="420"><span class="lineNum">     420 </span>            :     else if (type == GrB_INT64 ) { FPRINTF (f, &quot;GrB_INT64\n&quot;)  ; }</a>
+<a name="421"><span class="lineNum">     421 </span>            :     else if (type == GrB_UINT8 ) { FPRINTF (f, &quot;GrB_UINT8\n&quot;)  ; }</a>
+<a name="422"><span class="lineNum">     422 </span>            :     else if (type == GrB_UINT16) { FPRINTF (f, &quot;GrB_UINT16\n&quot;) ; }</a>
+<a name="423"><span class="lineNum">     423 </span>            :     else if (type == GrB_UINT32) { FPRINTF (f, &quot;GrB_UINT32\n&quot;) ; }</a>
+<a name="424"><span class="lineNum">     424 </span>            :     else if (type == GrB_UINT64) { FPRINTF (f, &quot;GrB_UINT64\n&quot;) ; }</a>
+<a name="425"><span class="lineNum">     425 </span>            :     else if (type == GrB_FP32  ) { FPRINTF (f, &quot;GrB_FP32\n&quot;)   ; }</a>
+<a name="426"><span class="lineNum">     426 </span>            :     else if (type == GrB_FP64  ) { FPRINTF (f, &quot;GrB_FP64\n&quot;)   ; }</a>
+<a name="427"><span class="lineNum">     427 </span>            :     #if 0</a>
+<a name="428"><span class="lineNum">     428 </span>            :     else if (type == GxB_FC32  ) { FPRINTF (f, &quot;GxB_FC32\n&quot;)   ; }</a>
+<a name="429"><span class="lineNum">     429 </span>            :     else if (type == GxB_FC64  ) { FPRINTF (f, &quot;GxB_FC64\n&quot;)   ; }</a>
+<a name="430"><span class="lineNum">     430 </span>            :     #endif</a>
+<a name="431"><span class="lineNum">     431 </span>            : #endif</a>
+<a name="432"><span class="lineNum">     432 </span>            : </a>
+<a name="433"><span class="lineNum">     433 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="434"><span class="lineNum">     434 </span>            :     // include any additional comments</a>
+<a name="435"><span class="lineNum">     435 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="436"><span class="lineNum">     436 </span>            : </a>
+<a name="437"><span class="lineNum">     437 </span><span class="lineCov">        524 :     if (fcomments != NULL)</span></a>
+<a name="438"><span class="lineNum">     438 </span>            :     {</a>
+<a name="439"><span class="lineNum">     439 </span>            :         char buffer [MAXLINE] ;</a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">         12 :         while (fgets (buffer, MAXLINE-1, fcomments) != NULL)</span></a>
+<a name="441"><span class="lineNum">     441 </span>            :         {</a>
+<a name="442"><span class="lineNum">     442 </span><span class="lineCov">          8 :             FPRINTF (f, &quot;%%%s&quot;, buffer) ;</span></a>
+<a name="443"><span class="lineNum">     443 </span>            :         }</a>
+<a name="444"><span class="lineNum">     444 </span>            :     }</a>
+<a name="445"><span class="lineNum">     445 </span>            : </a>
+<a name="446"><span class="lineNum">     446 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="447"><span class="lineNum">     447 </span>            :     // print the first line</a>
+<a name="448"><span class="lineNum">     448 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="449"><span class="lineNum">     449 </span>            : </a>
+<a name="450"><span class="lineNum">     450 </span><span class="lineCov">        524 :     bool is_general = (MM_storage == MM_general) ;</span></a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">        524 :     GrB_Index nvals_to_print = nvals ;</span></a>
+<a name="452"><span class="lineNum">     452 </span>            : </a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">        524 :     if (!is_general)</span></a>
+<a name="454"><span class="lineNum">     454 </span>            :     {</a>
+<a name="455"><span class="lineNum">     455 </span>            :         // count the entries on the diagonal</a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">        309 :         int64_t nself_edges = 0 ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">        309 :         LG_TRY (LG_nself_edges (&amp;nself_edges, A, msg)) ;</span></a>
+<a name="458"><span class="lineNum">     458 </span>            :         // nvals_to_print = # of entries in tril(A), including diagonal</a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">        130 :         nvals_to_print = nself_edges + (nvals - nself_edges) / 2 ;</span></a>
+<a name="460"><span class="lineNum">     460 </span>            :     }</a>
+<a name="461"><span class="lineNum">     461 </span>            : </a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">        345 :     if (MM_fmt == MM_array)</span></a>
+<a name="463"><span class="lineNum">     463 </span>            :     {</a>
+<a name="464"><span class="lineNum">     464 </span>            :         // write `nrows ncols` if the array format is used</a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">         19 :         FPRINTF (f, &quot;%&quot; PRIu64 &quot; %&quot; PRIu64 &quot;\n&quot;,</span></a>
+<a name="466"><span class="lineNum">     466 </span>            :             nrows, ncols) ;</a>
+<a name="467"><span class="lineNum">     467 </span>            :     }</a>
+<a name="468"><span class="lineNum">     468 </span>            :     else</a>
+<a name="469"><span class="lineNum">     469 </span>            :     {</a>
+<a name="470"><span class="lineNum">     470 </span>            :         // otherwise write `nrows ncols nvals` for the coordinate format</a>
+<a name="471"><span class="lineNum">     471 </span><span class="lineCov">        326 :         FPRINTF (f, &quot;%&quot; PRIu64 &quot; %&quot; PRIu64 &quot; %&quot; PRIu64 &quot;\n&quot;,</span></a>
+<a name="472"><span class="lineNum">     472 </span>            :             nrows, ncols, nvals_to_print) ;</a>
+<a name="473"><span class="lineNum">     473 </span>            :     }</a>
+<a name="474"><span class="lineNum">     474 </span>            : </a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">        345 :     if (nvals_to_print == 0)</span></a>
+<a name="476"><span class="lineNum">     476 </span>            :     {</a>
+<a name="477"><span class="lineNum">     477 </span>            :         // quick return if nothing more to do</a>
+<a name="478"><span class="lineNum">     478 </span><span class="lineCov">          2 :         LG_FREE_ALL ;</span></a>
+<a name="479"><span class="lineNum">     479 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="480"><span class="lineNum">     480 </span>            :     }</a>
+<a name="481"><span class="lineNum">     481 </span>            : </a>
+<a name="482"><span class="lineNum">     482 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="483"><span class="lineNum">     483 </span>            :     // extract and print tuples</a>
+<a name="484"><span class="lineNum">     484 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="485"><span class="lineNum">     485 </span>            : </a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">        343 :     LG_TRY (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">        293 :     LG_TRY (LAGraph_Malloc ((void **) &amp;J, nvals, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">        243 :     LG_TRY (LAGraph_Malloc ((void **) &amp;K, nvals, sizeof (GrB_Index), msg)) ;</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">     329549 :     for (int64_t k = 0 ; k &lt; nvals ; k++)</span></a>
+<a name="490"><span class="lineNum">     490 </span>            :     {</a>
+<a name="491"><span class="lineNum">     491 </span><span class="lineCov">     329356 :         K [k] = k ;</span></a>
+<a name="492"><span class="lineNum">     492 </span>            :     }</a>
+<a name="493"><span class="lineNum">     493 </span>            : </a>
+<a name="494"><span class="lineNum">     494 </span><span class="lineCov">        193 :     GrB_Index nvals_printed = 0 ;</span></a>
+<a name="495"><span class="lineNum">     495 </span><span class="lineCov">        193 :     bool coord = (MM_fmt == MM_coordinate) ;</span></a>
+<a name="496"><span class="lineNum">     496 </span>            : </a>
+<a name="497"><span class="lineNum">     497 </span>            :     #define WRITE_TUPLES(ctype,is_unsigned,is_signed,is_real,is_complex)    \</a>
+<a name="498"><span class="lineNum">     498 </span>            :     {                                                                       \</a>
+<a name="499"><span class="lineNum">     499 </span>            :         ctype *X = NULL ;                                                   \</a>
+<a name="500"><span class="lineNum">     500 </span>            :         LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (ctype), msg)) ;\</a>
+<a name="501"><span class="lineNum">     501 </span>            :         GRB_TRY (GrB_Matrix_extractTuples (I, J, X, &amp;nvals, A)) ;           \</a>
+<a name="502"><span class="lineNum">     502 </span>            :         LG_TRY (LG_msort3 ((int64_t *) J, (int64_t *) I,                    \</a>
+<a name="503"><span class="lineNum">     503 </span>            :             (int64_t *) K, nvals, msg)) ;                                   \</a>
+<a name="504"><span class="lineNum">     504 </span>            :         for (int64_t k = 0 ; k &lt; nvals ; k++)                               \</a>
+<a name="505"><span class="lineNum">     505 </span>            :         {                                                                   \</a>
+<a name="506"><span class="lineNum">     506 </span>            :             /* convert the row and column index to 1-based */               \</a>
+<a name="507"><span class="lineNum">     507 </span>            :             GrB_Index i = I [k] + 1 ;                                       \</a>
+<a name="508"><span class="lineNum">     508 </span>            :             GrB_Index j = J [k] + 1 ;                                       \</a>
+<a name="509"><span class="lineNum">     509 </span>            :             ctype     x = X [K [k]] ;                                       \</a>
+<a name="510"><span class="lineNum">     510 </span>            :             if (is_general || i &gt;= j)                                       \</a>
+<a name="511"><span class="lineNum">     511 </span>            :             {                                                               \</a>
+<a name="512"><span class="lineNum">     512 </span>            :                 /* print the row and column index of the tuple */           \</a>
+<a name="513"><span class="lineNum">     513 </span>            :                 if (coord) FPRINTF (f, &quot;%&quot; PRIu64 &quot; %&quot; PRIu64 &quot; &quot;, i, j) ;  \</a>
+<a name="514"><span class="lineNum">     514 </span>            :                 /* print the value of the tuple */                          \</a>
+<a name="515"><span class="lineNum">     515 </span>            :                 if (is_structural)                                          \</a>
+<a name="516"><span class="lineNum">     516 </span>            :                 {                                                           \</a>
+<a name="517"><span class="lineNum">     517 </span>            :                     /* print nothing */ ;                                   \</a>
+<a name="518"><span class="lineNum">     518 </span>            :                 }                                                           \</a>
+<a name="519"><span class="lineNum">     519 </span>            :                 else if (is_unsigned)                                       \</a>
+<a name="520"><span class="lineNum">     520 </span>            :                 {                                                           \</a>
+<a name="521"><span class="lineNum">     521 </span>            :                     FPRINTF (f, &quot;%&quot; PRIu64, (uint64_t) x) ;                 \</a>
+<a name="522"><span class="lineNum">     522 </span>            :                 }                                                           \</a>
+<a name="523"><span class="lineNum">     523 </span>            :                 else if (is_signed)                                         \</a>
+<a name="524"><span class="lineNum">     524 </span>            :                 {                                                           \</a>
+<a name="525"><span class="lineNum">     525 </span>            :                     FPRINTF (f, &quot;%&quot; PRId64, (int64_t) x) ;                  \</a>
+<a name="526"><span class="lineNum">     526 </span>            :                 }                                                           \</a>
+<a name="527"><span class="lineNum">     527 </span>            :                 else if (is_real)                                           \</a>
+<a name="528"><span class="lineNum">     528 </span>            :                 {                                                           \</a>
+<a name="529"><span class="lineNum">     529 </span>            :                     LG_ASSERT_MSG (print_double (f, (double) x),            \</a>
+<a name="530"><span class="lineNum">     530 </span>            :                         LAGRAPH_IO_ERROR, &quot;Unable to write to file&quot;) ;      \</a>
+<a name="531"><span class="lineNum">     531 </span>            :                 }                                                           \</a>
+<a name="532"><span class="lineNum">     532 </span>            :             /*  else if (is_complex)                                 */     \</a>
+<a name="533"><span class="lineNum">     533 </span>            :             /*  {                                                    */     \</a>
+<a name="534"><span class="lineNum">     534 </span>            :             /*      LG_ASSERT_MSG (print_double (f, creal (x)),      */     \</a>
+<a name="535"><span class="lineNum">     535 </span>            :             /*          LAGRAPH_IO_ERROR,                            */     \</a>
+<a name="536"><span class="lineNum">     536 </span>            :             /*          &quot;Unable to write to file&quot;) ;                 */     \</a>
+<a name="537"><span class="lineNum">     537 </span>            :             /*      FPRINTF (f, &quot; &quot;) ;                               */     \</a>
+<a name="538"><span class="lineNum">     538 </span>            :             /*      LG_ASSERT_MSG (print_double (f, cimag (x)),      */     \</a>
+<a name="539"><span class="lineNum">     539 </span>            :             /*          LAGRAPH_IO_ERROR,                            */     \</a>
+<a name="540"><span class="lineNum">     540 </span>            :             /*          &quot;Unable to write to file&quot;) ;                 */     \</a>
+<a name="541"><span class="lineNum">     541 </span>            :             /*  }                                                    */     \</a>
+<a name="542"><span class="lineNum">     542 </span>            :                 FPRINTF (f, &quot;\n&quot;) ;                                         \</a>
+<a name="543"><span class="lineNum">     543 </span>            :             }                                                               \</a>
+<a name="544"><span class="lineNum">     544 </span>            :             nvals_printed++ ;                                               \</a>
+<a name="545"><span class="lineNum">     545 </span>            :         }                                                                   \</a>
+<a name="546"><span class="lineNum">     546 </span>            :         LG_TRY (LAGraph_Free ((void **) &amp;X, NULL)) ;                        \</a>
+<a name="547"><span class="lineNum">     547 </span>            :     }</a>
+<a name="548"><span class="lineNum">     548 </span>            : </a>
+<a name="549"><span class="lineNum">     549 </span><span class="lineCov">      16069 :     if      (type == GrB_BOOL   ) WRITE_TUPLES (bool    , 1, 0, 0, 0)</span></a>
+<a name="550"><span class="lineNum">     550 </span><span class="lineCov">        200 :     else if (type == GrB_INT8   ) WRITE_TUPLES (int8_t  , 0, 1, 0, 0)</span></a>
+<a name="551"><span class="lineNum">     551 </span><span class="lineCov">        192 :     else if (type == GrB_INT16  ) WRITE_TUPLES (int16_t , 0, 1, 0, 0)</span></a>
+<a name="552"><span class="lineNum">     552 </span><span class="lineCov">        244 :     else if (type == GrB_INT32  ) WRITE_TUPLES (int32_t , 0, 1, 0, 0)</span></a>
+<a name="553"><span class="lineNum">     553 </span><span class="lineCov">        438 :     else if (type == GrB_INT64  ) WRITE_TUPLES (int64_t , 0, 1, 0, 0)</span></a>
+<a name="554"><span class="lineNum">     554 </span><span class="lineCov">         95 :     else if (type == GrB_UINT8  ) WRITE_TUPLES (uint8_t , 1, 0, 0, 0)</span></a>
+<a name="555"><span class="lineNum">     555 </span><span class="lineCov">         91 :     else if (type == GrB_UINT16 ) WRITE_TUPLES (uint16_t, 1, 0, 0, 0)</span></a>
+<a name="556"><span class="lineNum">     556 </span><span class="lineCov">         87 :     else if (type == GrB_UINT32 ) WRITE_TUPLES (uint32_t, 1, 0, 0, 0)</span></a>
+<a name="557"><span class="lineNum">     557 </span><span class="lineCov">         83 :     else if (type == GrB_UINT64 ) WRITE_TUPLES (uint64_t, 1, 0, 0, 0)</span></a>
+<a name="558"><span class="lineNum">     558 </span><span class="lineCov">        119 :     else if (type == GrB_FP32   ) WRITE_TUPLES (float   , 0, 0, 1, 0)</span></a>
+<a name="559"><span class="lineNum">     559 </span><span class="lineCov">     202769 :     else if (type == GrB_FP64   ) WRITE_TUPLES (double  , 0, 0, 1, 0)</span></a>
+<a name="560"><span class="lineNum">     560 </span>            :     #if 0</a>
+<a name="561"><span class="lineNum">     561 </span>            :     else if (type == GxB_FC32   ) WRITE_TUPLES (GxB_FC32_t, 0, 0, 0, 1) ;</a>
+<a name="562"><span class="lineNum">     562 </span>            :     else if (type == GxB_FC64   ) WRITE_TUPLES (GxB_FC64_t, 0, 0, 0, 1) ;</a>
+<a name="563"><span class="lineNum">     563 </span>            :     #endif</a>
+<a name="564"><span class="lineNum">     564 </span>            : </a>
+<a name="565"><span class="lineNum">     565 </span>            :     ASSERT (nvals_to_print == nvals_printed) ;</a>
+<a name="566"><span class="lineNum">     566 </span>            : </a>
+<a name="567"><span class="lineNum">     567 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="568"><span class="lineNum">     568 </span>            :     // free workspace and return</a>
+<a name="569"><span class="lineNum">     569 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="570"><span class="lineNum">     570 </span>            : </a>
+<a name="571"><span class="lineNum">     571 </span><span class="lineCov">        105 :     LG_FREE_ALL ;</span></a>
+<a name="572"><span class="lineNum">     572 </span><span class="lineCov">        105 :     return (GrB_SUCCESS) ;</span></a>
+<a name="573"><span class="lineNum">     573 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Malloc.c.func-sort-c.html b/src/utility/LAGraph_Malloc.c.func-sort-c.html
new file mode 100644
index 0000000000..414972f7ad
--- /dev/null
+++ b/src/utility/LAGraph_Malloc.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Malloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Malloc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Malloc.c.gcov.html#18">LAGraph_Malloc</a></td>
+              <td class="coverFnHi">26882</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Malloc.c.func.html b/src/utility/LAGraph_Malloc.c.func.html
new file mode 100644
index 0000000000..74dbade453
--- /dev/null
+++ b/src/utility/LAGraph_Malloc.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Malloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Malloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Malloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Malloc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Malloc.c.gcov.html#18">LAGraph_Malloc</a></td>
+              <td class="coverFnHi">26882</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Malloc.c.gcov.html b/src/utility/LAGraph_Malloc.c.gcov.html
new file mode 100644
index 0000000000..499834fe13
--- /dev/null
+++ b/src/utility/LAGraph_Malloc.c.gcov.html
@@ -0,0 +1,128 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Malloc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Malloc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Malloc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Malloc:  wrapper for malloc</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">      26882 : int LAGraph_Malloc</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     void **p,               // pointer to allocated block of memory</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // input:</a>
+<a name="25"><span class="lineNum">      25 </span>            :     size_t nitems,          // number of items</a>
+<a name="26"><span class="lineNum">      26 </span>            :     size_t size_of_item,    // size of each item</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char *msg</a>
+<a name="28"><span class="lineNum">      28 </span>            : )</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // check inputs</a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">      26882 :     LG_CLEAR_MSG ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">      26882 :     LG_ASSERT (p != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">      26882 :     (*p) = NULL ;</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            :     // make sure at least one item is allocated</a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">      26882 :     nitems = LAGRAPH_MAX (1, nitems) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            :     // make sure at least one byte is allocated</a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">      26882 :     size_of_item = LAGRAPH_MAX (1, size_of_item) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            :     // compute the size and check for integer overflow</a>
+<a name="42"><span class="lineNum">      42 </span>            :     size_t size ;</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">      26882 :     if (!LG_Multiply_size_t (&amp;size, nitems, size_of_item))</span></a>
+<a name="44"><span class="lineNum">      44 </span>            :     {</a>
+<a name="45"><span class="lineNum">      45 </span>            :         // overflow</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :         return (GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :     }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     // malloc the space</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">      26881 :     (*p) = LAGraph_Malloc_function (size) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">      26881 :     return (((*p) == NULL) ? GrB_OUT_OF_MEMORY : GrB_SUCCESS) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqual.c.func-sort-c.html b/src/utility/LAGraph_Matrix_IsEqual.c.func-sort-c.html
new file mode 100644
index 0000000000..110700904a
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqual.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqual.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Matrix_IsEqual.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_IsEqual.c.gcov.html#26">LAGraph_Matrix_IsEqual</a></td>
+              <td class="coverFnHi">3235</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqual.c.func.html b/src/utility/LAGraph_Matrix_IsEqual.c.func.html
new file mode 100644
index 0000000000..6f86fd6550
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqual.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqual.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Matrix_IsEqual.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_IsEqual.c.gcov.html#26">LAGraph_Matrix_IsEqual</a></td>
+              <td class="coverFnHi">3235</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqual.c.gcov.html b/src/utility/LAGraph_Matrix_IsEqual.c.gcov.html
new file mode 100644
index 0000000000..8faaf6b84e
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqual.c.gcov.html
@@ -0,0 +1,237 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqual.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqual.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Matrix_IsEqual.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntry">48</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Matrix_IsEqual: check two matrices for exact equality</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Matrix_IsEqual: check if two matrices are identically equal (same</a>
+<a name="19"><span class="lineNum">      19 </span>            : // size, type, structure, size, and values).</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // If the two matrices are GrB_FP32, GrB_FP64, GxB_FC32, or GxB_FC64 and have</a>
+<a name="22"><span class="lineNum">      22 </span>            : // NaNs, then these functions will return false, since NaN == NaN is false.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #define LG_FREE_WORK GrB_free (&amp;C) ;</a>
+<a name="25"><span class="lineNum">      25 </span>            : </a>
+<a name="26"><span class="lineNum">      26 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">       3235 : int LAGraph_Matrix_IsEqual</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : (</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // output:</a>
+<a name="31"><span class="lineNum">      31 </span>            :     bool *result,           // true if A == B, false if A != B or error</a>
+<a name="32"><span class="lineNum">      32 </span>            :     // input:</a>
+<a name="33"><span class="lineNum">      33 </span>            :     const GrB_Matrix A,</a>
+<a name="34"><span class="lineNum">      34 </span>            :     const GrB_Matrix B,</a>
+<a name="35"><span class="lineNum">      35 </span>            :     char *msg</a>
+<a name="36"><span class="lineNum">      36 </span>            : )</a>
+<a name="37"><span class="lineNum">      37 </span>            : {</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // check inputs</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">       3235 :     LG_CLEAR_MSG ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">       3235 :     GrB_Matrix C = NULL ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">       3235 :     LG_ASSERT (result != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // check for NULL and aliased matrices</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">       3230 :     if (A == NULL || B == NULL || A == B)</span></a>
+<a name="52"><span class="lineNum">      52 </span>            :     {</a>
+<a name="53"><span class="lineNum">      53 </span>            :         // two NULL matrices are identical, as are two aliased matrices</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         33 :         (*result) = (A == B) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">         33 :         return (GrB_SUCCESS) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span>            :     }</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            :     // compare the type of A and B</a>
+<a name="60"><span class="lineNum">      60 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="63"><span class="lineNum">      63 </span>            :     char btype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">       3197 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       3197 :     LG_TRY (LAGraph_Matrix_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       3197 :     if (!MATCHNAME (atype_name, btype_name))</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :     {</a>
+<a name="68"><span class="lineNum">      68 </span>            :         // types differ</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         12 :         (*result) = false ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">         12 :         return (GrB_SUCCESS) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            :     }</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            :     // compare the size of A and B</a>
+<a name="75"><span class="lineNum">      75 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     GrB_Index nrows1, ncols1, nrows2, ncols2 ;</a>
+<a name="78"><span class="lineNum">      78 </span><span class="lineCov">       3185 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows1, A)) ;</span></a>
+<a name="79"><span class="lineNum">      79 </span><span class="lineCov">       3185 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows2, B)) ;</span></a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">       3185 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols1, A)) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">       3185 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols2, B)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       3185 :     if (nrows1 != nrows2 || ncols1 != ncols2)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span>            :         // dimensions differ</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">          2 :         (*result) = false ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :     }</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="90"><span class="lineNum">      90 </span>            :     // compare the # entries in A and B</a>
+<a name="91"><span class="lineNum">      91 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="92"><span class="lineNum">      92 </span>            : </a>
+<a name="93"><span class="lineNum">      93 </span>            :     GrB_Index nvals1, nvals2 ;</a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       3183 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals1, A)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">       3183 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals2, B)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       3183 :     if (nvals1 != nvals2)</span></a>
+<a name="97"><span class="lineNum">      97 </span>            :     {</a>
+<a name="98"><span class="lineNum">      98 </span>            :         // # of entries differ</a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">          2 :         (*result) = false ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span>            :     }</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="104"><span class="lineNum">     104 </span>            :     // get the GrB_EQ_type operator</a>
+<a name="105"><span class="lineNum">     105 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :     GrB_Type type ;</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">       3181 :     LG_TRY (LAGraph_TypeFromName (&amp;type, atype_name, msg)) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">       3181 :     GrB_BinaryOp op = NULL ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">       3181 :     if      (type == GrB_BOOL  ) op = GrB_EQ_BOOL   ;</span></a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">       2556 :     else if (type == GrB_INT8  ) op = GrB_EQ_INT8   ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">       2425 :     else if (type == GrB_INT16 ) op = GrB_EQ_INT16  ;</span></a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">       2292 :     else if (type == GrB_INT32 ) op = GrB_EQ_INT32  ;</span></a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">       1979 :     else if (type == GrB_INT64 ) op = GrB_EQ_INT64  ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">       1486 :     else if (type == GrB_UINT8 ) op = GrB_EQ_UINT8  ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">       1442 :     else if (type == GrB_UINT16) op = GrB_EQ_UINT16 ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">       1398 :     else if (type == GrB_UINT32) op = GrB_EQ_UINT32 ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">       1240 :     else if (type == GrB_UINT64) op = GrB_EQ_UINT64 ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        938 :     else if (type == GrB_FP32  ) op = GrB_EQ_FP32   ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        804 :     else if (type == GrB_FP64  ) op = GrB_EQ_FP64   ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :     #if 0</a>
+<a name="122"><span class="lineNum">     122 </span>            :     else if (type == GxB_FC32  ) op = GxB_EQ_FC32   ;</a>
+<a name="123"><span class="lineNum">     123 </span>            :     else if (type == GxB_FC64  ) op = GxB_EQ_FC64   ;</a>
+<a name="124"><span class="lineNum">     124 </span>            :     #endif</a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">       3181 :     LG_ASSERT_MSG (op != NULL, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            :     // C = A .* B, where the structure of C is the intersection of A and B</a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">       3181 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, nrows1, ncols1)) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span><span class="lineCov">       2696 :     GRB_TRY (GrB_eWiseMult (C, NULL, NULL, op, A, B, NULL)) ;</span></a>
+<a name="134"><span class="lineNum">     134 </span>            : </a>
+<a name="135"><span class="lineNum">     135 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="136"><span class="lineNum">     136 </span>            :     // ensure C has the same number of entries as A and B</a>
+<a name="137"><span class="lineNum">     137 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     GrB_Index nvals ;</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">       2210 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, C)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">       2210 :     if (nvals != nvals1)</span></a>
+<a name="142"><span class="lineNum">     142 </span>            :     {</a>
+<a name="143"><span class="lineNum">     143 </span>            :         // structure of A and B are different</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">        615 :         LG_FREE_WORK ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        615 :         (*result) = false ;</span></a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        615 :         return (GrB_SUCCESS) ;</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :     }</a>
+<a name="148"><span class="lineNum">     148 </span>            : </a>
+<a name="149"><span class="lineNum">     149 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="150"><span class="lineNum">     150 </span>            :     // result = and (C)</a>
+<a name="151"><span class="lineNum">     151 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">       1595 :     GRB_TRY (GrB_reduce (result, NULL, GrB_LAND_MONOID_BOOL, C, NULL)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            : </a>
+<a name="155"><span class="lineNum">     155 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="156"><span class="lineNum">     156 </span>            :     // free workspace and return result</a>
+<a name="157"><span class="lineNum">     157 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">       1595 :     LG_FREE_WORK ;</span></a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">       1595 :     return (GrB_SUCCESS) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqualOp.c.func-sort-c.html b/src/utility/LAGraph_Matrix_IsEqualOp.c.func-sort-c.html
new file mode 100644
index 0000000000..abba154fce
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqualOp.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqualOp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqualOp.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_IsEqualOp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Matrix_IsEqualOp.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_IsEqualOp.c.gcov.html#27">LAGraph_Matrix_IsEqualOp</a></td>
+              <td class="coverFnHi">128</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqualOp.c.func.html b/src/utility/LAGraph_Matrix_IsEqualOp.c.func.html
new file mode 100644
index 0000000000..e24a5e9602
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqualOp.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqualOp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqualOp.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_IsEqualOp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Matrix_IsEqualOp.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_IsEqualOp.c.gcov.html#27">LAGraph_Matrix_IsEqualOp</a></td>
+              <td class="coverFnHi">128</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
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+</html>
diff --git a/src/utility/LAGraph_Matrix_IsEqualOp.c.gcov.html b/src/utility/LAGraph_Matrix_IsEqualOp.c.gcov.html
new file mode 100644
index 0000000000..3e4255af4d
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_IsEqualOp.c.gcov.html
@@ -0,0 +1,199 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_IsEqualOp.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_IsEqualOp.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Matrix_IsEqualOp.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntry">29</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Matrix_IsEqualOp: compare two matrices with a given op</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Matrix_IsEqualOp: check if two matrices are equal (same</a>
+<a name="19"><span class="lineNum">      19 </span>            : // size, structure, size, and values).</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_WORK GrB_free (&amp;C) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : //------------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : // LAGraph_Matrix_IsEqualOp: compare two matrices using a given operator</a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span><span class="lineCov">        128 : int LAGraph_Matrix_IsEqualOp</span></a>
+<a name="30"><span class="lineNum">      30 </span>            : (</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // output:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     bool *result,           // true if A == B, false if A != B or error</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // input:</a>
+<a name="34"><span class="lineNum">      34 </span>            :     const GrB_Matrix A,</a>
+<a name="35"><span class="lineNum">      35 </span>            :     const GrB_Matrix B,</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const GrB_BinaryOp op,        // comparator to use</a>
+<a name="37"><span class="lineNum">      37 </span>            :     char *msg</a>
+<a name="38"><span class="lineNum">      38 </span>            : )</a>
+<a name="39"><span class="lineNum">      39 </span>            : {</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            :     // check inputs</a>
+<a name="43"><span class="lineNum">      43 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        128 :     LG_CLEAR_MSG ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">        128 :     GrB_Matrix C = NULL ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        128 :     LG_ASSERT (op != NULL &amp;&amp; result != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // check for NULL and aliased matrices</a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">        127 :     if (A == NULL || B == NULL || A == B)</span></a>
+<a name="54"><span class="lineNum">      54 </span>            :     {</a>
+<a name="55"><span class="lineNum">      55 </span>            :         // two NULL matrices are identical, as are two aliased matrices</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">         32 :         (*result) = (A == B) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">         32 :         return (GrB_SUCCESS) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span>            :     }</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            :     // compare the size of A and B</a>
+<a name="62"><span class="lineNum">      62 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            :     GrB_Index nrows1, ncols1, nrows2, ncols2 ;</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">         95 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows1, A)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">         95 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows2, B)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">         95 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols1, A)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">         95 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols2, B)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">         95 :     if (nrows1 != nrows2 || ncols1 != ncols2)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span>            :         // dimensions differ</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          4 :         (*result) = false ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          4 :         return (GrB_SUCCESS) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     }</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="77"><span class="lineNum">      77 </span>            :     // compare the # entries in A and B</a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_Index nvals1, nvals2 ;</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">         91 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals1, A)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">         91 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals2, B)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">         91 :     if (nvals1 != nvals2)</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :     {</a>
+<a name="85"><span class="lineNum">      85 </span>            :         // # of entries differ</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">          4 :         (*result) = false ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">          4 :         return (GrB_SUCCESS) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     }</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // C = A .* B, where the structure of C is the intersection of A and B</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         87 :     GRB_TRY (GrB_Matrix_new (&amp;C, GrB_BOOL, nrows1, ncols1)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">         51 :     GRB_TRY (GrB_eWiseMult (C, NULL, NULL, op, A, B, NULL)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // ensure C has the same number of entries as A and B</a>
+<a name="99"><span class="lineNum">      99 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :     GrB_Index nvals ;</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         24 :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, C)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         24 :     if (nvals != nvals1)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // structure of A and B are different</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          2 :         LG_FREE_WORK ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          2 :         (*result) = false ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          2 :         return (GrB_SUCCESS) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     }</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            :     // result = and (C)</a>
+<a name="113"><span class="lineNum">     113 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">         22 :     GRB_TRY (GrB_reduce (result, NULL, GrB_LAND_MONOID_BOOL, C, NULL)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // free workspace and return result</a>
+<a name="119"><span class="lineNum">     119 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">         22 :     LG_FREE_WORK ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">         22 :     return (GrB_SUCCESS) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Print.c.func-sort-c.html b/src/utility/LAGraph_Matrix_Print.c.func-sort-c.html
new file mode 100644
index 0000000000..a655c4d95f
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Print.c.func-sort-c.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Matrix_Print.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#95">LG_Matrix_Print_UINT16</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#94">LG_Matrix_Print_UINT8</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#96">LG_Matrix_Print_UINT32</a></td>
+              <td class="coverFnHi">9</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#90">LG_Matrix_Print_INT8</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#91">LG_Matrix_Print_INT16</a></td>
+              <td class="coverFnHi">13</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#98">LG_Matrix_Print_FP32</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#97">LG_Matrix_Print_UINT64</a></td>
+              <td class="coverFnHi">19</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#93">LG_Matrix_Print_INT64</a></td>
+              <td class="coverFnHi">43</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#92">LG_Matrix_Print_INT32</a></td>
+              <td class="coverFnHi">82</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#99">LG_Matrix_Print_FP64</a></td>
+              <td class="coverFnHi">203</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#89">LG_Matrix_Print_BOOL</a></td>
+              <td class="coverFnHi">325</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#114">LAGraph_Matrix_Print</a></td>
+              <td class="coverFnHi">738</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Print.c.func.html b/src/utility/LAGraph_Matrix_Print.c.func.html
new file mode 100644
index 0000000000..4a4c41b744
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Print.c.func.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Matrix_Print.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#114">LAGraph_Matrix_Print</a></td>
+              <td class="coverFnHi">738</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#89">LG_Matrix_Print_BOOL</a></td>
+              <td class="coverFnHi">325</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#98">LG_Matrix_Print_FP32</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#99">LG_Matrix_Print_FP64</a></td>
+              <td class="coverFnHi">203</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#91">LG_Matrix_Print_INT16</a></td>
+              <td class="coverFnHi">13</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#92">LG_Matrix_Print_INT32</a></td>
+              <td class="coverFnHi">82</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#93">LG_Matrix_Print_INT64</a></td>
+              <td class="coverFnHi">43</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#90">LG_Matrix_Print_INT8</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#95">LG_Matrix_Print_UINT16</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#96">LG_Matrix_Print_UINT32</a></td>
+              <td class="coverFnHi">9</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#97">LG_Matrix_Print_UINT64</a></td>
+              <td class="coverFnHi">19</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Print.c.gcov.html#94">LG_Matrix_Print_UINT8</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Print.c.gcov.html b/src/utility/LAGraph_Matrix_Print.c.gcov.html
new file mode 100644
index 0000000000..e928174f9f
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Print.c.gcov.html
@@ -0,0 +1,283 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Print.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Print.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Matrix_Print.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntry">39</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Matrix_Print:  pretty-print a matrix</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Matrix_Print:  pretty-print a matrix.  The type is either derived</a>
+<a name="19"><span class="lineNum">      19 </span>            : // from GxB_Matrix_type (if available) or assumed to be GrB_FP64 otherwise,</a>
+<a name="20"><span class="lineNum">      20 </span>            : // or passed in as a parameter.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #undef  LG_FREE_WORK</a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="26"><span class="lineNum">      26 </span>            : {                                       \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ; \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Free ((void **) &amp;J, NULL) ; \</a>
+<a name="29"><span class="lineNum">      29 </span>            :     LAGraph_Free ((void **) &amp;X, NULL) ; \</a>
+<a name="30"><span class="lineNum">      30 </span>            : }</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #undef  LG_FREE_ALL</a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_FREE_ALL LG_FREE_WORK</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : //------------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            : // LG_Matrix_Print_TYPE: print with the specified type</a>
+<a name="37"><span class="lineNum">      37 </span>            : //------------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : #define LG_MATRIX_PRINT(suffix,ctype,gtype,fmt1,fmt2)                       \</a>
+<a name="40"><span class="lineNum">      40 </span>            : int LG_Matrix_Print_ ## suffix                                              \</a>
+<a name="41"><span class="lineNum">      41 </span>            : (                                                                           \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_Matrix A, LAGraph_PrintLevel pr, FILE *f, char *msg                 \</a>
+<a name="43"><span class="lineNum">      43 </span>            : )                                                                           \</a>
+<a name="44"><span class="lineNum">      44 </span>            : {                                                                           \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     LG_CLEAR_MSG ;                                                          \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     ctype *X = NULL ;                                                       \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     GrB_Index *I = NULL, *J = NULL ;                                        \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     LG_ASSERT (A != NULL &amp;&amp; f != NULL, GrB_NULL_POINTER) ;                  \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     int prl = (int) pr ;                                                    \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     if (prl &lt;= 0) return (GrB_SUCCESS) ;                                    \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     /* get basic properties */                                              \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_Index nrows, ncols, nvals ;                                         \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;                                \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;                                \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     GRB_TRY (GrB_Matrix_nvals (&amp;nvals, A)) ;                                \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     /* print header line */                                                 \</a>
+<a name="57"><span class="lineNum">      57 </span>            :     FPRINTF (f, &quot;%s matrix: %&quot; PRIu64 &quot;-by-%&quot; PRIu64 &quot; entries: %&quot; PRIu64   \</a>
+<a name="58"><span class="lineNum">      58 </span>            :         &quot;\n&quot;, LG_XSTR (gtype), nrows, ncols, nvals) ;                       \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     if (prl &lt;= 1) return (GrB_SUCCESS) ;                                    \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     /* extract tuples */                                                    \</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg)) ;\</a>
+<a name="62"><span class="lineNum">      62 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;J, nvals, sizeof (GrB_Index), msg)) ;\</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (ctype), msg)) ;    \</a>
+<a name="64"><span class="lineNum">      64 </span>            :     GrB_Info info = GrB_Matrix_extractTuples (I, J, X, &amp;nvals, A) ;         \</a>
+<a name="65"><span class="lineNum">      65 </span>            :     LG_ASSERT_MSG (info != GrB_DOMAIN_MISMATCH,                             \</a>
+<a name="66"><span class="lineNum">      66 </span>            :         GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;                        \</a>
+<a name="67"><span class="lineNum">      67 </span>            :     GRB_TRY (info) ;                                                        \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     /* determine the format */                                              \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     char *format = (prl &lt;= 3) ? fmt1 : fmt2 ;                               \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     bool summary = (prl == 2 || prl == 4) &amp;&amp; (nvals &gt; LG_SHORT_LEN) ;       \</a>
+<a name="71"><span class="lineNum">      71 </span>            :     for (int64_t k = 0 ; k &lt; nvals ; k++)                                   \</a>
+<a name="72"><span class="lineNum">      72 </span>            :     {                                                                       \</a>
+<a name="73"><span class="lineNum">      73 </span>            :         /* print the kth tuple */                                           \</a>
+<a name="74"><span class="lineNum">      74 </span>            :         GrB_Index i = I [k] ;                                               \</a>
+<a name="75"><span class="lineNum">      75 </span>            :         GrB_Index j = J [k] ;                                               \</a>
+<a name="76"><span class="lineNum">      76 </span>            :         ctype     x = X [k] ;                                               \</a>
+<a name="77"><span class="lineNum">      77 </span>            :         FPRINTF (f, &quot;    (%&quot; PRIu64 &quot;, %&quot; PRIu64 &quot;)   &quot;, i, j) ;            \</a>
+<a name="78"><span class="lineNum">      78 </span>            :         FPRINTF (f, format, x) ;                                            \</a>
+<a name="79"><span class="lineNum">      79 </span>            :         FPRINTF (f, &quot;\n&quot;) ;                                                 \</a>
+<a name="80"><span class="lineNum">      80 </span>            :         if (summary &amp;&amp; k &gt; LG_SHORT_LEN)                                    \</a>
+<a name="81"><span class="lineNum">      81 </span>            :         {                                                                   \</a>
+<a name="82"><span class="lineNum">      82 </span>            :             /* quit early if a only a summary is requested */               \</a>
+<a name="83"><span class="lineNum">      83 </span>            :             FPRINTF (f, &quot;    ...\n&quot;) ;                                      \</a>
+<a name="84"><span class="lineNum">      84 </span>            :             break ;                                                         \</a>
+<a name="85"><span class="lineNum">      85 </span>            :         }                                                                   \</a>
+<a name="86"><span class="lineNum">      86 </span>            :     }                                                                       \</a>
+<a name="87"><span class="lineNum">      87 </span>            :     LG_FREE_WORK ;                                                          \</a>
+<a name="88"><span class="lineNum">      88 </span>            :     return (GrB_SUCCESS) ;                                                  \</a>
+<a name="89"><span class="lineNum">      89 </span>            : }</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       6322 : LG_MATRIX_PRINT (BOOL  , bool    , GrB_BOOL  , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">        100 : LG_MATRIX_PRINT (INT8  , int8_t  , GrB_INT8  , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">        113 : LG_MATRIX_PRINT (INT16 , int16_t , GrB_INT16 , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        566 : LG_MATRIX_PRINT (INT32 , int32_t , GrB_INT32 , &quot;%&quot; PRId32, &quot;%&quot; PRId32  ) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        409 : LG_MATRIX_PRINT (INT64 , int64_t , GrB_INT64 , &quot;%&quot; PRId64, &quot;%&quot; PRId64  ) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">         64 : LG_MATRIX_PRINT (UINT8 , uint8_t , GrB_UINT8 , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         64 : LG_MATRIX_PRINT (UINT16, uint16_t, GrB_UINT16, &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        221 : LG_MATRIX_PRINT (UINT32, uint32_t, GrB_UINT32, &quot;%&quot; PRIu32, &quot;%&quot; PRIu32  ) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        288 : LG_MATRIX_PRINT (UINT64, uint64_t, GrB_UINT64, &quot;%&quot; PRIu64, &quot;%&quot; PRIu64  ) ;</span></a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">        156 : LG_MATRIX_PRINT (FP32  , float   , GrB_FP32  , &quot;%g&quot;  , &quot;%0.7g&quot; ) ;</span></a>
+<a name="101"><span class="lineNum">     101 </span><span class="lineCov">       4421 : LG_MATRIX_PRINT (FP64  , double  , GrB_FP64  , &quot;%g&quot;  , &quot;%0.15g&quot;) ;</span></a>
+<a name="102"><span class="lineNum">     102 </span>            : #if 0</a>
+<a name="103"><span class="lineNum">     103 </span>            : LG_MATRIX_PRINT (FC32  , GxB_FC32_t, GxB_FC32, ...) ;</a>
+<a name="104"><span class="lineNum">     104 </span>            : LG_MATRIX_PRINT (FC64  , GxB_FC64_t, GxB_FC64, ...) ;</a>
+<a name="105"><span class="lineNum">     105 </span>            : #endif</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            : #undef  LG_FREE_WORK</a>
+<a name="108"><span class="lineNum">     108 </span>            : #define LG_FREE_WORK ;</a>
+<a name="109"><span class="lineNum">     109 </span>            : #undef  LG_FREE_ALL</a>
+<a name="110"><span class="lineNum">     110 </span>            : #define LG_FREE_ALL ;</a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            : //------------------------------------------------------------------------------</a>
+<a name="113"><span class="lineNum">     113 </span>            : // LAGraph_Matrix_Print: automatically determine the type</a>
+<a name="114"><span class="lineNum">     114 </span>            : //------------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        738 : int LAGraph_Matrix_Print</span></a>
+<a name="117"><span class="lineNum">     117 </span>            : (</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // input:</a>
+<a name="119"><span class="lineNum">     119 </span>            :     const GrB_Matrix A,     // matrix to pretty-print to the file</a>
+<a name="120"><span class="lineNum">     120 </span>            :     LAGraph_PrintLevel pr,  // print level (0 to 5)</a>
+<a name="121"><span class="lineNum">     121 </span>            :     FILE *f,            // file to write it to, must be already open; use</a>
+<a name="122"><span class="lineNum">     122 </span>            :                         // stdout or stderr to print to those locations.</a>
+<a name="123"><span class="lineNum">     123 </span>            :     char *msg</a>
+<a name="124"><span class="lineNum">     124 </span>            : )</a>
+<a name="125"><span class="lineNum">     125 </span>            : {</a>
+<a name="126"><span class="lineNum">     126 </span>            : </a>
+<a name="127"><span class="lineNum">     127 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            :     // check inputs</a>
+<a name="129"><span class="lineNum">     129 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="130"><span class="lineNum">     130 </span>            : </a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">        738 :     LG_CLEAR_MSG ;</span></a>
+<a name="132"><span class="lineNum">     132 </span><span class="lineCov">        738 :     LG_ASSERT (A != NULL &amp;&amp; f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="133"><span class="lineNum">     133 </span>            : </a>
+<a name="134"><span class="lineNum">     134 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            :     // determine the type</a>
+<a name="136"><span class="lineNum">     136 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="137"><span class="lineNum">     137 </span>            : </a>
+<a name="138"><span class="lineNum">     138 </span>            :     GrB_Type type ;</a>
+<a name="139"><span class="lineNum">     139 </span>            :     char typename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        738 :     LG_TRY (LAGraph_Matrix_TypeName (typename, A, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">        738 :     LG_TRY (LAGraph_TypeFromName (&amp;type, typename, msg)) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="144"><span class="lineNum">     144 </span>            :     // print the matrix</a>
+<a name="145"><span class="lineNum">     145 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="146"><span class="lineNum">     146 </span>            : </a>
+<a name="147"><span class="lineNum">     147 </span><span class="lineCov">        738 :     if (type == GrB_BOOL)</span></a>
+<a name="148"><span class="lineNum">     148 </span>            :     {</a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">        325 :         return (LG_Matrix_Print_BOOL (A, pr, f, msg)) ;</span></a>
+<a name="150"><span class="lineNum">     150 </span>            :     }</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">        413 :     else if (type == GrB_INT8)</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :     {</a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">         12 :         return (LG_Matrix_Print_INT8 (A, pr, f, msg)) ;</span></a>
+<a name="154"><span class="lineNum">     154 </span>            :     }</a>
+<a name="155"><span class="lineNum">     155 </span><span class="lineCov">        401 :     else if (type == GrB_INT16)</span></a>
+<a name="156"><span class="lineNum">     156 </span>            :     {</a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">         13 :         return (LG_Matrix_Print_INT16 (A, pr, f, msg)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            :     }</a>
+<a name="159"><span class="lineNum">     159 </span><span class="lineCov">        388 :     else if (type == GrB_INT32)</span></a>
+<a name="160"><span class="lineNum">     160 </span>            :     {</a>
+<a name="161"><span class="lineNum">     161 </span><span class="lineCov">         82 :         return (LG_Matrix_Print_INT32 (A, pr, f, msg)) ;</span></a>
+<a name="162"><span class="lineNum">     162 </span>            :     }</a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        306 :     else if (type == GrB_INT64)</span></a>
+<a name="164"><span class="lineNum">     164 </span>            :     {</a>
+<a name="165"><span class="lineNum">     165 </span><span class="lineCov">         43 :         return (LG_Matrix_Print_INT64 (A, pr, f, msg)) ;</span></a>
+<a name="166"><span class="lineNum">     166 </span>            :     }</a>
+<a name="167"><span class="lineNum">     167 </span><span class="lineCov">        263 :     else if (type == GrB_UINT8)</span></a>
+<a name="168"><span class="lineNum">     168 </span>            :     {</a>
+<a name="169"><span class="lineNum">     169 </span><span class="lineCov">          8 :         return (LG_Matrix_Print_UINT8 (A, pr, f, msg)) ;</span></a>
+<a name="170"><span class="lineNum">     170 </span>            :     }</a>
+<a name="171"><span class="lineNum">     171 </span><span class="lineCov">        255 :     else if (type == GrB_UINT16)</span></a>
+<a name="172"><span class="lineNum">     172 </span>            :     {</a>
+<a name="173"><span class="lineNum">     173 </span><span class="lineCov">          8 :         return (LG_Matrix_Print_UINT16 (A, pr, f, msg)) ;</span></a>
+<a name="174"><span class="lineNum">     174 </span>            :     }</a>
+<a name="175"><span class="lineNum">     175 </span><span class="lineCov">        247 :     else if (type == GrB_UINT32)</span></a>
+<a name="176"><span class="lineNum">     176 </span>            :     {</a>
+<a name="177"><span class="lineNum">     177 </span><span class="lineCov">          9 :         return (LG_Matrix_Print_UINT32 (A, pr, f, msg)) ;</span></a>
+<a name="178"><span class="lineNum">     178 </span>            :     }</a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        238 :     else if (type == GrB_UINT64)</span></a>
+<a name="180"><span class="lineNum">     180 </span>            :     {</a>
+<a name="181"><span class="lineNum">     181 </span><span class="lineCov">         19 :         return (LG_Matrix_Print_UINT64 (A, pr, f, msg)) ;</span></a>
+<a name="182"><span class="lineNum">     182 </span>            :     }</a>
+<a name="183"><span class="lineNum">     183 </span><span class="lineCov">        219 :     else if (type == GrB_FP32)</span></a>
+<a name="184"><span class="lineNum">     184 </span>            :     {</a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">         15 :         return (LG_Matrix_Print_FP32 (A, pr, f, msg)) ;</span></a>
+<a name="186"><span class="lineNum">     186 </span>            :     }</a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        204 :     else if (type == GrB_FP64)</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     {</a>
+<a name="189"><span class="lineNum">     189 </span><span class="lineCov">        203 :         return (LG_Matrix_Print_FP64 (A, pr, f, msg)) ;</span></a>
+<a name="190"><span class="lineNum">     190 </span>            :     }</a>
+<a name="191"><span class="lineNum">     191 </span>            :     #if 0</a>
+<a name="192"><span class="lineNum">     192 </span>            :     else if (type == GxB_FC32)</a>
+<a name="193"><span class="lineNum">     193 </span>            :     {</a>
+<a name="194"><span class="lineNum">     194 </span>            :         return (LG_Matrix_Print_FC32 (A, pr, f, msg)) ;</a>
+<a name="195"><span class="lineNum">     195 </span>            :     }</a>
+<a name="196"><span class="lineNum">     196 </span>            :     else if (type == GxB_FC32)</a>
+<a name="197"><span class="lineNum">     197 </span>            :     {</a>
+<a name="198"><span class="lineNum">     198 </span>            :         return (LG_Matrix_Print_FC64 (A, pr, f, msg)) ;</a>
+<a name="199"><span class="lineNum">     199 </span>            :     }</a>
+<a name="200"><span class="lineNum">     200 </span>            :     #endif</a>
+<a name="201"><span class="lineNum">     201 </span>            :     else</a>
+<a name="202"><span class="lineNum">     202 </span>            :     {</a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false,</span></a>
+<a name="204"><span class="lineNum">     204 </span>            :             GrB_NOT_IMPLEMENTED, &quot;user-defined types not supported&quot;) ;</a>
+<a name="205"><span class="lineNum">     205 </span>            :         return (GrB_SUCCESS) ;</a>
+<a name="206"><span class="lineNum">     206 </span>            :     }</a>
+<a name="207"><span class="lineNum">     207 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Structure.c.func-sort-c.html b/src/utility/LAGraph_Matrix_Structure.c.func-sort-c.html
new file mode 100644
index 0000000000..6ab4364de4
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Structure.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Structure.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Matrix_Structure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Structure.c.gcov.html#23">LAGraph_Matrix_Structure</a></td>
+              <td class="coverFnHi">563</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Structure.c.func.html b/src/utility/LAGraph_Matrix_Structure.c.func.html
new file mode 100644
index 0000000000..5b3498a6f0
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Structure.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Structure.c<span style="font-size: 80%;"> (<a href="LAGraph_Matrix_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Matrix_Structure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Matrix_Structure.c.gcov.html#23">LAGraph_Matrix_Structure</a></td>
+              <td class="coverFnHi">563</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Matrix_Structure.c.gcov.html b/src/utility/LAGraph_Matrix_Structure.c.gcov.html
new file mode 100644
index 0000000000..2224e63a9a
--- /dev/null
+++ b/src/utility/LAGraph_Matrix_Structure.c.gcov.html
@@ -0,0 +1,139 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Matrix_Structure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Matrix_Structure.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Matrix_Structure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Matrix_Structure: return the structure of a matrix</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis and Scott Kolodziej, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Matrix_Structure: return the structure of a matrix as a boolean</a>
+<a name="19"><span class="lineNum">      19 </span>            : // matrix, where C(i,j)=true if the entry A(i,j) is present in the matrix A.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL GrB_free (C) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">        563 : int LAGraph_Matrix_Structure</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_Matrix *C,  // a boolean matrix with same structure of A, with C(i,j)</a>
+<a name="29"><span class="lineNum">      29 </span>            :                     // set to true if A(i,j) appears in the sparsity structure</a>
+<a name="30"><span class="lineNum">      30 </span>            :                     // of A.</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // input:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_Matrix A,</a>
+<a name="33"><span class="lineNum">      33 </span>            :     char *msg</a>
+<a name="34"><span class="lineNum">      34 </span>            : )</a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // check inputs</a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">        563 :     LG_CLEAR_MSG ;</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        563 :     LG_ASSERT_MSG (C != NULL, GrB_NULL_POINTER, &quot;&amp;C != NULL&quot;) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        562 :     LG_ASSERT (A != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">        561 :     (*C) = NULL ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // get the size of A</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">        561 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">        561 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            :     // C&lt;s(A)&gt; = true</a>
+<a name="56"><span class="lineNum">      56 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        561 :     GRB_TRY (GrB_Matrix_new (C, GrB_BOOL, nrows, ncols)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        537 :     GRB_TRY (GrB_assign (*C, A, NULL, (bool) true,</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :         GrB_ALL, nrows, GrB_ALL, nrows, GrB_DESC_S)) ;</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        512 :     return (GrB_SUCCESS) ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_NameOfType.c.func-sort-c.html b/src/utility/LAGraph_NameOfType.c.func-sort-c.html
new file mode 100644
index 0000000000..c529dbbaf2
--- /dev/null
+++ b/src/utility/LAGraph_NameOfType.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_NameOfType.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_NameOfType.c<span style="font-size: 80%;"> (<a href="LAGraph_NameOfType.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_NameOfType.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_NameOfType.c.gcov.html#18">LAGraph_NameOfType</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_NameOfType.c.func.html b/src/utility/LAGraph_NameOfType.c.func.html
new file mode 100644
index 0000000000..7d67e4604a
--- /dev/null
+++ b/src/utility/LAGraph_NameOfType.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_NameOfType.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_NameOfType.c<span style="font-size: 80%;"> (<a href="LAGraph_NameOfType.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_NameOfType.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_NameOfType.c.gcov.html#18">LAGraph_NameOfType</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_NameOfType.c.gcov.html b/src/utility/LAGraph_NameOfType.c.gcov.html
new file mode 100644
index 0000000000..7fc105d42d
--- /dev/null
+++ b/src/utility/LAGraph_NameOfType.c.gcov.html
@@ -0,0 +1,142 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_NameOfType.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_NameOfType.c<span style="font-size: 80%;"> (source / <a href="LAGraph_NameOfType.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntry">18</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_NameOfType: return the C name of a GraphBLAS GrB_Type</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">         15 : int LAGraph_NameOfType</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     char *name,     // name of the type: user provided array of size at</a>
+<a name="24"><span class="lineNum">      24 </span>            :                     // least LAGRAPH_MAX_NAME_LEN.</a>
+<a name="25"><span class="lineNum">      25 </span>            :     // input:</a>
+<a name="26"><span class="lineNum">      26 </span>            :     GrB_Type type,  // GraphBLAS type</a>
+<a name="27"><span class="lineNum">      27 </span>            :     char *msg</a>
+<a name="28"><span class="lineNum">      28 </span>            : )</a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            :     // check inputs</a>
+<a name="33"><span class="lineNum">      33 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">         15 :     LG_CLEAR_MSG ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">         15 :     LG_ASSERT (type != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">         13 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // determine the name of the type</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">         12 :         if      (type == GrB_BOOL  ) strcpy (name, &quot;bool&quot;)     ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">         11 :         else if (type == GrB_INT8  ) strcpy (name, &quot;int8_t&quot;)   ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">         10 :         else if (type == GrB_INT16 ) strcpy (name, &quot;int16_t&quot;)  ;</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          9 :         else if (type == GrB_INT32 ) strcpy (name, &quot;int32_t&quot;)  ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">          8 :         else if (type == GrB_INT64 ) strcpy (name, &quot;int64_t&quot;)  ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">          7 :         else if (type == GrB_UINT8 ) strcpy (name, &quot;uint8_t&quot;)  ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">          6 :         else if (type == GrB_UINT16) strcpy (name, &quot;uint16_t&quot;) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          5 :         else if (type == GrB_UINT32) strcpy (name, &quot;uint32_t&quot;) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          4 :         else if (type == GrB_UINT64) strcpy (name, &quot;uint64_t&quot;) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          3 :         else if (type == GrB_FP32  ) strcpy (name, &quot;float&quot;)    ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          2 :         else if (type == GrB_FP64  ) strcpy (name, &quot;double&quot;)   ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            :         #if 0</a>
+<a name="55"><span class="lineNum">      55 </span>            :         else if (type == GxB_FC32  ) strcpy (name, &quot;float complex&quot;) ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :         else if (type == GxB_FC64  ) strcpy (name, &quot;double complex&quot;) ;</a>
+<a name="57"><span class="lineNum">      57 </span>            :         #endif</a>
+<a name="58"><span class="lineNum">      58 </span>            :         else</a>
+<a name="59"><span class="lineNum">      59 </span>            :         {</a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          1 :             name [0] = '\0' ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">          1 :             LG_ASSERT_MSG (false,</span></a>
+<a name="62"><span class="lineNum">      62 </span>            :                 GrB_NOT_IMPLEMENTED, &quot;user-defined types not supported&quot;) ;</a>
+<a name="63"><span class="lineNum">      63 </span>            :         }</a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">         11 :         return (GrB_SUCCESS) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_New.c.func-sort-c.html b/src/utility/LAGraph_New.c.func-sort-c.html
new file mode 100644
index 0000000000..16d55e6d92
--- /dev/null
+++ b/src/utility/LAGraph_New.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_New.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_New.c<span style="font-size: 80%;"> (<a href="LAGraph_New.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_New.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_New.c.gcov.html#21">LAGraph_New</a></td>
+              <td class="coverFnHi">1146</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_New.c.func.html b/src/utility/LAGraph_New.c.func.html
new file mode 100644
index 0000000000..c804fdae8c
--- /dev/null
+++ b/src/utility/LAGraph_New.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_New.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_New.c<span style="font-size: 80%;"> (<a href="LAGraph_New.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_New.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_New.c.gcov.html#21">LAGraph_New</a></td>
+              <td class="coverFnHi">1146</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_New.c.gcov.html b/src/utility/LAGraph_New.c.gcov.html
new file mode 100644
index 0000000000..bf4d60db97
--- /dev/null
+++ b/src/utility/LAGraph_New.c.gcov.html
@@ -0,0 +1,171 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_New.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_New.c<span style="font-size: 80%;"> (source / <a href="LAGraph_New.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntry">22</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_New:  create a new graph</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // If succesful, the matrix A is moved into G-&gt;A, and the caller's A is set</a>
+<a name="19"><span class="lineNum">      19 </span>            : // to NULL.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">       1146 : int LAGraph_New</span></a>
+<a name="24"><span class="lineNum">      24 </span>            : (</a>
+<a name="25"><span class="lineNum">      25 </span>            :     // output:</a>
+<a name="26"><span class="lineNum">      26 </span>            :     LAGraph_Graph *G,   // the graph to create, NULL if failure</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // input/output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_Matrix    *A,   // the adjacency matrix of the graph, may be NULL.</a>
+<a name="29"><span class="lineNum">      29 </span>            :                         // A is moved into G as G-&gt;A, and A itself is set</a>
+<a name="30"><span class="lineNum">      30 </span>            :                         // to NULL to denote that is now a part of G.</a>
+<a name="31"><span class="lineNum">      31 </span>            :                         // That is, { G-&gt;A = A ; A = NULL ; } is performed.</a>
+<a name="32"><span class="lineNum">      32 </span>            :                         // When G is deleted, G-&gt;A is freed.  If A is NULL,</a>
+<a name="33"><span class="lineNum">      33 </span>            :                         // the graph is invalid until G-&gt;A is set.</a>
+<a name="34"><span class="lineNum">      34 </span>            :     // input:</a>
+<a name="35"><span class="lineNum">      35 </span>            :     LAGraph_Kind kind,  // the kind of graph. This may be LAGRAPH_UNKNOWN,</a>
+<a name="36"><span class="lineNum">      36 </span>            :                         // which must then be revised later before the</a>
+<a name="37"><span class="lineNum">      37 </span>            :                         // graph can be used.</a>
+<a name="38"><span class="lineNum">      38 </span>            :     char *msg</a>
+<a name="39"><span class="lineNum">      39 </span>            : )</a>
+<a name="40"><span class="lineNum">      40 </span>            : {</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="43"><span class="lineNum">      43 </span>            :     // check inputs</a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">       1146 :     LG_CLEAR_MSG ;</span></a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">       1146 :     LG_ASSERT (G != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            :     // allocate the graph</a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">       1144 :     LG_TRY (LAGraph_Malloc ((void **) G, 1,</span></a>
+<a name="54"><span class="lineNum">      54 </span>            :         sizeof (struct LAGraph_Graph_struct), msg)) ;</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            :     // initialize its members</a>
+<a name="58"><span class="lineNum">      58 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">       1136 :     (*G)-&gt;A = NULL ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">       1136 :     (*G)-&gt;kind = LAGraph_KIND_UNKNOWN ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">       1136 :     (*G)-&gt;AT = NULL ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">       1136 :     (*G)-&gt;out_degree = NULL ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">       1136 :     (*G)-&gt;in_degree = NULL ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">       1136 :     (*G)-&gt;is_symmetric_structure = LAGRAPH_UNKNOWN ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       1136 :     (*G)-&gt;nself_edges = LAGRAPH_UNKNOWN ;</span></a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">       1136 :     (*G)-&gt;emin = NULL ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">       1136 :     (*G)-&gt;emin_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">       1136 :     (*G)-&gt;emax = NULL ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">       1136 :     (*G)-&gt;emax_state = LAGRAPH_UNKNOWN ;</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : </a>
+<a name="72"><span class="lineNum">      72 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            :     // assign its primary components</a>
+<a name="74"><span class="lineNum">      74 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">       1136 :     if ((A != NULL) &amp;&amp; (*A != NULL))</span></a>
+<a name="77"><span class="lineNum">      77 </span>            :     {</a>
+<a name="78"><span class="lineNum">      78 </span>            :         // move &amp;A into the graph and set &amp;A to NULL to denote to the caller</a>
+<a name="79"><span class="lineNum">      79 </span>            :         // that it is now a component of G.  The graph G is not opaque, so the</a>
+<a name="80"><span class="lineNum">      80 </span>            :         // caller can get A back with A = G-&gt;A, but this helps with memory</a>
+<a name="81"><span class="lineNum">      81 </span>            :         // management, since LAGraph_Delete (&amp;G,msg) frees G-&gt;A, and if the</a>
+<a name="82"><span class="lineNum">      82 </span>            :         // caller also does GrB_free (&amp;A), a double-free would occur if this</a>
+<a name="83"><span class="lineNum">      83 </span>            :         // move does not set A to NULL.</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">       1134 :         (*G)-&gt;A = (*A) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">       1134 :         (*A) = NULL ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">       1134 :         (*G)-&gt;kind = kind ;</span></a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">       1134 :         (*G)-&gt;is_symmetric_structure =</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :             (kind == LAGraph_ADJACENCY_UNDIRECTED)</a>
+<a name="90"><span class="lineNum">      90 </span>            :             ? LAGraph_TRUE</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       1134 :             : LAGRAPH_UNKNOWN ;</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     }</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       1136 :     return (GrB_SUCCESS) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Realloc.c.func-sort-c.html b/src/utility/LAGraph_Realloc.c.func-sort-c.html
new file mode 100644
index 0000000000..5decb98e2d
--- /dev/null
+++ b/src/utility/LAGraph_Realloc.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Realloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Realloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Realloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Realloc.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Realloc.c.gcov.html#40">LAGraph_Realloc</a></td>
+              <td class="coverFnHi">109</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Realloc.c.func.html b/src/utility/LAGraph_Realloc.c.func.html
new file mode 100644
index 0000000000..d8f72c1561
--- /dev/null
+++ b/src/utility/LAGraph_Realloc.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Realloc.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Realloc.c<span style="font-size: 80%;"> (<a href="LAGraph_Realloc.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Realloc.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Realloc.c.gcov.html#40">LAGraph_Realloc</a></td>
+              <td class="coverFnHi">109</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Realloc.c.gcov.html b/src/utility/LAGraph_Realloc.c.gcov.html
new file mode 100644
index 0000000000..4be42eccce
--- /dev/null
+++ b/src/utility/LAGraph_Realloc.c.gcov.html
@@ -0,0 +1,219 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Realloc.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Realloc.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Realloc.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntry">25</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Realloc: wrapper for realloc</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // If p is non-NULL on input, it points to a previously allocated object of</a>
+<a name="19"><span class="lineNum">      19 </span>            : // size at least nitems_old * size_of_item.  The object is reallocated to be of</a>
+<a name="20"><span class="lineNum">      20 </span>            : // size at least nitems_new * size_of_item.  If p is NULL on input, then a new</a>
+<a name="21"><span class="lineNum">      21 </span>            : // object of that size is allocated.  On success, a pointer to the new object</a>
+<a name="22"><span class="lineNum">      22 </span>            : // is returned, and ok is returned as true.  If the allocation fails, ok is set</a>
+<a name="23"><span class="lineNum">      23 </span>            : // to false and a pointer to the old (unmodified) object is returned.</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : // Usage:</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //  int status = LAGraph_Realloc (&amp;p, nitems_new, nitems_old, size_of_item, msg)</a>
+<a name="28"><span class="lineNum">      28 </span>            : //  if (status == GrB_SUCCESS)</a>
+<a name="29"><span class="lineNum">      29 </span>            : //  {</a>
+<a name="30"><span class="lineNum">      30 </span>            : //      p points to a block of at least nitems_new*size_of_item bytes and</a>
+<a name="31"><span class="lineNum">      31 </span>            : //      the first part, of size min(nitems_new,nitems_old)*size_of_item,</a>
+<a name="32"><span class="lineNum">      32 </span>            : //      has the same content as the old memory block if it was present.</a>
+<a name="33"><span class="lineNum">      33 </span>            : //  }</a>
+<a name="34"><span class="lineNum">      34 </span>            : //  else</a>
+<a name="35"><span class="lineNum">      35 </span>            : //  {</a>
+<a name="36"><span class="lineNum">      36 </span>            : //      p points to the old block, unchanged.  This case never occurs if</a>
+<a name="37"><span class="lineNum">      37 </span>            : //      nitems_new &lt; nitems_old.</a>
+<a name="38"><span class="lineNum">      38 </span>            : //  }</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        109 : int LAGraph_Realloc</span></a>
+<a name="43"><span class="lineNum">      43 </span>            : (</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // input/output:</a>
+<a name="45"><span class="lineNum">      45 </span>            :     void **p,               // old block to reallocate</a>
+<a name="46"><span class="lineNum">      46 </span>            :     // input:</a>
+<a name="47"><span class="lineNum">      47 </span>            :     size_t nitems_new,      // new number of items in the object</a>
+<a name="48"><span class="lineNum">      48 </span>            :     size_t nitems_old,      // old number of items in the object</a>
+<a name="49"><span class="lineNum">      49 </span>            :     size_t size_of_item,    // size of each item</a>
+<a name="50"><span class="lineNum">      50 </span>            :     char *msg</a>
+<a name="51"><span class="lineNum">      51 </span>            : )</a>
+<a name="52"><span class="lineNum">      52 </span>            : {</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            :     // check inputs</a>
+<a name="56"><span class="lineNum">      56 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        109 :     LG_CLEAR_MSG ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">        109 :     LG_ASSERT (p != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            : </a>
+<a name="61"><span class="lineNum">      61 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            :     // malloc a new block if p is NULL on input</a>
+<a name="63"><span class="lineNum">      63 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        109 :     if ((*p) == NULL)</span></a>
+<a name="66"><span class="lineNum">      66 </span>            :     {</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">          1 :         LG_TRY (LAGraph_Malloc (p, nitems_new, size_of_item, msg)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span>            :     }</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // check inputs</a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     // make sure at least one item is allocated</a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">        108 :     nitems_old = LAGRAPH_MAX (1, nitems_old) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span><span class="lineCov">        108 :     nitems_new = LAGRAPH_MAX (1, nitems_new) ;</span></a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :     // make sure at least one byte is allocated</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">        108 :     size_of_item = LAGRAPH_MAX (1, size_of_item) ;</span></a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     size_t newsize, oldsize ;</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        108 :     bool ok = LG_Multiply_size_t (&amp;newsize, nitems_new, size_of_item)</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        108 :            &amp;&amp; LG_Multiply_size_t (&amp;oldsize, nitems_old, size_of_item) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        108 :     if (!ok)</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     {</a>
+<a name="87"><span class="lineNum">      87 </span>            :         // overflow</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          1 :         return (GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span>            :     }</a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="92"><span class="lineNum">      92 </span>            :     // reallocate an existing block to accommodate the change in # of items</a>
+<a name="93"><span class="lineNum">      93 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            :     // check for quick return</a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        107 :     if (newsize == oldsize)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     {</a>
+<a name="101"><span class="lineNum">     101 </span>            :         // If the block does not change, or is shrinking but only by a small</a>
+<a name="102"><span class="lineNum">     102 </span>            :         // amount, or is growing but still fits inside the existing block,</a>
+<a name="103"><span class="lineNum">     103 </span>            :         // then leave the block as-is.</a>
+<a name="104"><span class="lineNum">     104 </span><span class="lineCov">         71 :         return (GrB_SUCCESS) ;</span></a>
+<a name="105"><span class="lineNum">     105 </span>            :     }</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="108"><span class="lineNum">     108 </span>            :     // reallocate the memory, or use malloc/memcpy/free</a>
+<a name="109"><span class="lineNum">     109 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">         36 :     void *pnew = NULL ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            : </a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">         36 :     if (LAGraph_Realloc_function == NULL)</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :     {</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :         //----------------------------------------------------------------------</a>
+<a name="117"><span class="lineNum">     117 </span>            :         // use malloc/memcpy/free</a>
+<a name="118"><span class="lineNum">     118 </span>            :         //----------------------------------------------------------------------</a>
+<a name="119"><span class="lineNum">     119 </span>            : </a>
+<a name="120"><span class="lineNum">     120 </span>            :         // allocate the new space</a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">          1 :         LG_TRY (LAGraph_Malloc (&amp;pnew, nitems_new, size_of_item, msg)) ;</span></a>
+<a name="122"><span class="lineNum">     122 </span>            :         // copy over the data from the old block to the new block</a>
+<a name="123"><span class="lineNum">     123 </span>            :         // copy from the old to the new space</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">          1 :         memcpy (pnew, *p, LAGRAPH_MIN (oldsize, newsize)) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :         // free the old space</a>
+<a name="126"><span class="lineNum">     126 </span><span class="lineCov">          1 :         LG_TRY (LAGraph_Free (p, msg)) ;</span></a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">          1 :         (*p) = pnew ;</span></a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span>            :     }</a>
+<a name="130"><span class="lineNum">     130 </span>            :     else</a>
+<a name="131"><span class="lineNum">     131 </span>            :     {</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :         //----------------------------------------------------------------------</a>
+<a name="134"><span class="lineNum">     134 </span>            :         // use realloc</a>
+<a name="135"><span class="lineNum">     135 </span>            :         //----------------------------------------------------------------------</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">         35 :         pnew = LAGraph_Realloc_function (*p, newsize) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span><span class="lineCov">         35 :         if (pnew == NULL) return (GrB_OUT_OF_MEMORY) ;</span></a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">         35 :         (*p) = pnew ;</span></a>
+<a name="140"><span class="lineNum">     140 </span>            :     }</a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span><span class="lineCov">         36 :     return (GrB_SUCCESS) ;</span></a>
+<a name="143"><span class="lineNum">     143 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SetNumThreads.c.func-sort-c.html b/src/utility/LAGraph_SetNumThreads.c.func-sort-c.html
new file mode 100644
index 0000000000..05c8c82a8f
--- /dev/null
+++ b/src/utility/LAGraph_SetNumThreads.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SetNumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SetNumThreads.c<span style="font-size: 80%;"> (<a href="LAGraph_SetNumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SetNumThreads.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SetNumThreads.c.gcov.html#18">LAGraph_SetNumThreads</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SetNumThreads.c.func.html b/src/utility/LAGraph_SetNumThreads.c.func.html
new file mode 100644
index 0000000000..55b92a359a
--- /dev/null
+++ b/src/utility/LAGraph_SetNumThreads.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SetNumThreads.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SetNumThreads.c<span style="font-size: 80%;"> (<a href="LAGraph_SetNumThreads.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SetNumThreads.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SetNumThreads.c.gcov.html#18">LAGraph_SetNumThreads</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SetNumThreads.c.gcov.html b/src/utility/LAGraph_SetNumThreads.c.gcov.html
new file mode 100644
index 0000000000..8aa324a777
--- /dev/null
+++ b/src/utility/LAGraph_SetNumThreads.c.gcov.html
@@ -0,0 +1,131 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SetNumThreads.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SetNumThreads.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SetNumThreads.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntry">8</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SetNumThreads: set the # of threads to use</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">         12 : int LAGraph_SetNumThreads</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // input:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     int nthreads_outer,</a>
+<a name="24"><span class="lineNum">      24 </span>            :     int nthreads_inner,</a>
+<a name="25"><span class="lineNum">      25 </span>            :     char *msg</a>
+<a name="26"><span class="lineNum">      26 </span>            : )</a>
+<a name="27"><span class="lineNum">      27 </span>            : {</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // check inputs</a>
+<a name="31"><span class="lineNum">      31 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">         12 :     LG_CLEAR_MSG ;</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // set number of threads to use</a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">         12 :     nthreads_outer = LAGRAPH_MAX (nthreads_outer, 1) ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">         12 :     nthreads_inner = LAGRAPH_MAX (nthreads_inner, 1) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="43"><span class="lineNum">      43 </span>            :     {</a>
+<a name="44"><span class="lineNum">      44 </span>            :         // SuiteSparse:GraphBLAS: set # of threads with global setting</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">         12 :         GRB_TRY (GxB_set (GxB_NTHREADS, nthreads_inner)) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            :     }</a>
+<a name="47"><span class="lineNum">      47 </span>            :     #endif</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     // set # of LAGraph threads</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">         12 :     LG_nthreads_outer = nthreads_outer ;    // for LAGraph itself, if nested</span></a>
+<a name="51"><span class="lineNum">      51 </span>            :                                             // regions call GraphBLAS</a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">         12 :     LG_nthreads_inner = nthreads_inner ;    // for lower-level parallelism</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">         12 :     return (GrB_SUCCESS) ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SizeOfType.c.func-sort-c.html b/src/utility/LAGraph_SizeOfType.c.func-sort-c.html
new file mode 100644
index 0000000000..2edaf9ecc9
--- /dev/null
+++ b/src/utility/LAGraph_SizeOfType.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SizeOfType.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SizeOfType.c<span style="font-size: 80%;"> (<a href="LAGraph_SizeOfType.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_SizeOfType.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SizeOfType.c.gcov.html#18">LAGraph_SizeOfType</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SizeOfType.c.func.html b/src/utility/LAGraph_SizeOfType.c.func.html
new file mode 100644
index 0000000000..971db64e1b
--- /dev/null
+++ b/src/utility/LAGraph_SizeOfType.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SizeOfType.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SizeOfType.c<span style="font-size: 80%;"> (<a href="LAGraph_SizeOfType.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_SizeOfType.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_SizeOfType.c.gcov.html#18">LAGraph_SizeOfType</a></td>
+              <td class="coverFnHi">15</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_SizeOfType.c.gcov.html b/src/utility/LAGraph_SizeOfType.c.gcov.html
new file mode 100644
index 0000000000..33f43ea3c3
--- /dev/null
+++ b/src/utility/LAGraph_SizeOfType.c.gcov.html
@@ -0,0 +1,150 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_SizeOfType.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_SizeOfType.c<span style="font-size: 80%;"> (source / <a href="LAGraph_SizeOfType.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_SizeOfType: return the sizeof(...) of a GraphBLAS GrB_Type</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">         15 : int LAGraph_SizeOfType</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     // output:</a>
+<a name="23"><span class="lineNum">      23 </span>            :     size_t *size,   // size of the type</a>
+<a name="24"><span class="lineNum">      24 </span>            :     // input:</a>
+<a name="25"><span class="lineNum">      25 </span>            :     GrB_Type type,  // GraphBLAS type</a>
+<a name="26"><span class="lineNum">      26 </span>            :     char *msg</a>
+<a name="27"><span class="lineNum">      27 </span>            : )</a>
+<a name="28"><span class="lineNum">      28 </span>            : {</a>
+<a name="29"><span class="lineNum">      29 </span>            : </a>
+<a name="30"><span class="lineNum">      30 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // check inputs</a>
+<a name="32"><span class="lineNum">      32 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">         15 :     LG_CLEAR_MSG ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">         15 :     LG_ASSERT (type != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">         13 :     LG_ASSERT (size != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span><span class="lineCov">         12 :     (*size) = 0 ;</span></a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            :     // determine the size of the type</a>
+<a name="41"><span class="lineNum">      41 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            :         // always succeeds, even for user-defined types, unless the</a>
+<a name="46"><span class="lineNum">      46 </span>            :         // type is an invalid object</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">         12 :         return (GxB_Type_size (size, type)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     #else</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :         if      (type == GrB_BOOL  ) (*size) = sizeof (bool)     ;</a>
+<a name="52"><span class="lineNum">      52 </span>            :         else if (type == GrB_INT8  ) (*size) = sizeof (int8_t)   ;</a>
+<a name="53"><span class="lineNum">      53 </span>            :         else if (type == GrB_INT16 ) (*size) = sizeof (int16_t)  ;</a>
+<a name="54"><span class="lineNum">      54 </span>            :         else if (type == GrB_INT32 ) (*size) = sizeof (int32_t)  ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :         else if (type == GrB_INT64 ) (*size) = sizeof (int64_t)  ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :         else if (type == GrB_UINT8 ) (*size) = sizeof (uint8_t)  ;</a>
+<a name="57"><span class="lineNum">      57 </span>            :         else if (type == GrB_UINT16) (*size) = sizeof (uint16_t) ;</a>
+<a name="58"><span class="lineNum">      58 </span>            :         else if (type == GrB_UINT32) (*size) = sizeof (uint32_t) ;</a>
+<a name="59"><span class="lineNum">      59 </span>            :         else if (type == GrB_UINT64) (*size) = sizeof (uint64_t) ;</a>
+<a name="60"><span class="lineNum">      60 </span>            :         else if (type == GrB_FP32  ) (*size) = sizeof (float)    ;</a>
+<a name="61"><span class="lineNum">      61 </span>            :         else if (type == GrB_FP64  ) (*size) = sizeof (double)   ;</a>
+<a name="62"><span class="lineNum">      62 </span>            :         #if 0</a>
+<a name="63"><span class="lineNum">      63 </span>            :         else if (type == GxB_FC32  ) (*size) = sizeof (GxB_FC32_t) ;</a>
+<a name="64"><span class="lineNum">      64 </span>            :         else if (type == GxB_FC64  ) (*size) = sizeof (GxB_FC64_t) ;</a>
+<a name="65"><span class="lineNum">      65 </span>            :         #endif</a>
+<a name="66"><span class="lineNum">      66 </span>            :         else</a>
+<a name="67"><span class="lineNum">      67 </span>            :         {</a>
+<a name="68"><span class="lineNum">      68 </span>            :             LG_ASSERT_MSG (false,</a>
+<a name="69"><span class="lineNum">      69 </span>            :                 GrB_NOT_IMPLEMENTED, &quot;user-defined types not supported&quot;) ;</a>
+<a name="70"><span class="lineNum">      70 </span>            :         }</a>
+<a name="71"><span class="lineNum">      71 </span>            :         return (GrB_SUCCESS) ;</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :     #endif</a>
+<a name="74"><span class="lineNum">      74 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeFromName.c.func-sort-c.html b/src/utility/LAGraph_TypeFromName.c.func-sort-c.html
new file mode 100644
index 0000000000..e7411db41d
--- /dev/null
+++ b/src/utility/LAGraph_TypeFromName.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeFromName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeFromName.c<span style="font-size: 80%;"> (<a href="LAGraph_TypeFromName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_TypeFromName.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeFromName.c.gcov.html#23">LAGraph_TypeFromName</a></td>
+              <td class="coverFnHi">13620</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeFromName.c.func.html b/src/utility/LAGraph_TypeFromName.c.func.html
new file mode 100644
index 0000000000..8038c12167
--- /dev/null
+++ b/src/utility/LAGraph_TypeFromName.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeFromName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeFromName.c<span style="font-size: 80%;"> (<a href="LAGraph_TypeFromName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_TypeFromName.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeFromName.c.gcov.html#23">LAGraph_TypeFromName</a></td>
+              <td class="coverFnHi">13620</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeFromName.c.gcov.html b/src/utility/LAGraph_TypeFromName.c.gcov.html
new file mode 100644
index 0000000000..35a3a94b56
--- /dev/null
+++ b/src/utility/LAGraph_TypeFromName.c.gcov.html
@@ -0,0 +1,154 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeFromName.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeFromName.c<span style="font-size: 80%;"> (source / <a href="LAGraph_TypeFromName.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntry">5</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_TypeFromName: return the GrB_Type corresponding to its given name</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This method works for any GraphBLAS library.  On input, name is a char array</a>
+<a name="19"><span class="lineNum">      19 </span>            : // of length at least LAGRAPH_MAX_NAME_LEN.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // Only built-in types are supported.  User-defined types are not supported.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">      13620 : int LAGraph_TypeFromName</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_Type *type, // GraphBLAS type</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // input:</a>
+<a name="30"><span class="lineNum">      30 </span>            :     char *name,     // name of the type: a null-terminated string</a>
+<a name="31"><span class="lineNum">      31 </span>            :     char *msg</a>
+<a name="32"><span class="lineNum">      32 </span>            : )</a>
+<a name="33"><span class="lineNum">      33 </span>            : {</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // check inputs</a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span><span class="lineCov">      13620 :     LG_CLEAR_MSG ;</span></a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">      13620 :     LG_ASSERT (type != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">      13620 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // determine the GrB_Type from its name</a>
+<a name="45"><span class="lineNum">      45 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">      13620 :         return (GxB_Type_from_name (type, name)) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     #else</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :         if      (MATCHNAME (name, &quot;bool&quot;          )) (*type) = GrB_BOOL   ;</a>
+<a name="54"><span class="lineNum">      54 </span>            :         else if (MATCHNAME (name, &quot;int8_t&quot;        )) (*type) = GrB_INT8   ;</a>
+<a name="55"><span class="lineNum">      55 </span>            :         else if (MATCHNAME (name, &quot;int16_t&quot;       )) (*type) = GrB_INT16  ;</a>
+<a name="56"><span class="lineNum">      56 </span>            :         else if (MATCHNAME (name, &quot;int32_t&quot;       )) (*type) = GrB_INT32  ;</a>
+<a name="57"><span class="lineNum">      57 </span>            :         else if (MATCHNAME (name, &quot;int64_t&quot;       )) (*type) = GrB_INT64  ;</a>
+<a name="58"><span class="lineNum">      58 </span>            :         else if (MATCHNAME (name, &quot;uint8_t&quot;       )) (*type) = GrB_UINT8  ;</a>
+<a name="59"><span class="lineNum">      59 </span>            :         else if (MATCHNAME (name, &quot;uint16_t&quot;      )) (*type) = GrB_UINT16 ;</a>
+<a name="60"><span class="lineNum">      60 </span>            :         else if (MATCHNAME (name, &quot;uint32_t&quot;      )) (*type) = GrB_UINT32 ;</a>
+<a name="61"><span class="lineNum">      61 </span>            :         else if (MATCHNAME (name, &quot;uint64_t&quot;      )) (*type) = GrB_UINT64 ;</a>
+<a name="62"><span class="lineNum">      62 </span>            :         else if (MATCHNAME (name, &quot;float&quot;         )) (*type) = GrB_FP32   ;</a>
+<a name="63"><span class="lineNum">      63 </span>            :         else if (MATCHNAME (name, &quot;double&quot;        )) (*type) = GrB_FP64   ;</a>
+<a name="64"><span class="lineNum">      64 </span>            :         #if 0</a>
+<a name="65"><span class="lineNum">      65 </span>            :         // if complex types from SuiteSparse:GraphBLAS are added to LAGraph:</a>
+<a name="66"><span class="lineNum">      66 </span>            :         else if (MATCHNAME (name, &quot;float complex&quot; )) (*type) = GxB_FC32   ;</a>
+<a name="67"><span class="lineNum">      67 </span>            :         else if (MATCHNAME (name, &quot;double complex&quot;)) (*type) = GxB_FC64   ;</a>
+<a name="68"><span class="lineNum">      68 </span>            :         #endif</a>
+<a name="69"><span class="lineNum">      69 </span>            :         else</a>
+<a name="70"><span class="lineNum">      70 </span>            :         {</a>
+<a name="71"><span class="lineNum">      71 </span>            :             (*type) = NULL ;</a>
+<a name="72"><span class="lineNum">      72 </span>            :             LG_ASSERT_MSGF (false, GrB_NOT_IMPLEMENTED,</a>
+<a name="73"><span class="lineNum">      73 </span>            :                 &quot;type \&quot;%s\&quot; not supported&quot;, name) ;</a>
+<a name="74"><span class="lineNum">      74 </span>            :         }</a>
+<a name="75"><span class="lineNum">      75 </span>            :         return (GrB_SUCCESS) ;</a>
+<a name="76"><span class="lineNum">      76 </span>            : </a>
+<a name="77"><span class="lineNum">      77 </span>            :     #endif</a>
+<a name="78"><span class="lineNum">      78 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeName.c.func-sort-c.html b/src/utility/LAGraph_TypeName.c.func-sort-c.html
new file mode 100644
index 0000000000..63ca7d6ed1
--- /dev/null
+++ b/src/utility/LAGraph_TypeName.c.func-sort-c.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeName.c<span style="font-size: 80%;"> (<a href="LAGraph_TypeName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_TypeName.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#126">LAGraph_Scalar_TypeName</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#92">LAGraph_Vector_TypeName</a></td>
+              <td class="coverFnHi">25383</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#58">LAGraph_Matrix_TypeName</a></td>
+              <td class="coverFnHi">29367</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeName.c.func.html b/src/utility/LAGraph_TypeName.c.func.html
new file mode 100644
index 0000000000..8d2a87dc9f
--- /dev/null
+++ b/src/utility/LAGraph_TypeName.c.func.html
@@ -0,0 +1,84 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeName.c<span style="font-size: 80%;"> (<a href="LAGraph_TypeName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_TypeName.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#58">LAGraph_Matrix_TypeName</a></td>
+              <td class="coverFnHi">29367</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#126">LAGraph_Scalar_TypeName</a></td>
+              <td class="coverFnHi">3</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_TypeName.c.gcov.html#92">LAGraph_Vector_TypeName</a></td>
+              <td class="coverFnHi">25383</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_TypeName.c.gcov.html b/src/utility/LAGraph_TypeName.c.gcov.html
new file mode 100644
index 0000000000..4444fb4f7f
--- /dev/null
+++ b/src/utility/LAGraph_TypeName.c.gcov.html
@@ -0,0 +1,232 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_TypeName.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_TypeName.c<span style="font-size: 80%;"> (source / <a href="LAGraph_TypeName.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntry">3</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_*TypeName: return the name of type of a matrix, vector, or scalar</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // On input, &quot;char *name&quot; is a pointer to a pre-allocated array of size at</a>
+<a name="19"><span class="lineNum">      19 </span>            : // least LAGRAPH_MAX_NAME_LEN.  On output, the array is filled with a string</a>
+<a name="20"><span class="lineNum">      20 </span>            : // corresponding to the type of a GrB_Matrix, GrB_Vector, or GrB_Scalar.</a>
+<a name="21"><span class="lineNum">      21 </span>            : // For built-in types, the strings are defined as:</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : //      &quot;bool&quot;      GrB_BOOL</a>
+<a name="24"><span class="lineNum">      24 </span>            : //      &quot;int8_t&quot;    GrB_INT8</a>
+<a name="25"><span class="lineNum">      25 </span>            : //      &quot;int16_t&quot;   GrB_INT16</a>
+<a name="26"><span class="lineNum">      26 </span>            : //      &quot;int32_t&quot;   GrB_INT32</a>
+<a name="27"><span class="lineNum">      27 </span>            : //      &quot;int64_t&quot;   GrB_INT64</a>
+<a name="28"><span class="lineNum">      28 </span>            : //      &quot;uint8_t&quot;   GrB_UINT8</a>
+<a name="29"><span class="lineNum">      29 </span>            : //      &quot;uint16_t&quot;  GrB_UINT16</a>
+<a name="30"><span class="lineNum">      30 </span>            : //      &quot;uint32_t&quot;  GrB_UINT32</a>
+<a name="31"><span class="lineNum">      31 </span>            : //      &quot;uint64_t&quot;  GrB_UINT64</a>
+<a name="32"><span class="lineNum">      32 </span>            : //      &quot;float&quot;     GrB_FP32</a>
+<a name="33"><span class="lineNum">      33 </span>            : //      &quot;double&quot;    GrB_FP64</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span>            : // SuiteSparse:GraphBLAS adds two extended types:</a>
+<a name="36"><span class="lineNum">      36 </span>            : //      &quot;float complex&quot;     GxB_FC32</a>
+<a name="37"><span class="lineNum">      37 </span>            : //      &quot;double complex&quot;    GxB_FC64</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // For user-defined types, if SuiteSparse:GraphBLAS is used, then GrB_Type_new</a>
+<a name="40"><span class="lineNum">      40 </span>            : // can capture the type name, if called as follows, where the 2nd parameter has</a>
+<a name="41"><span class="lineNum">      41 </span>            : // the form &quot;sizeof (T)&quot; for some C typedef type T.</a>
+<a name="42"><span class="lineNum">      42 </span>            : //</a>
+<a name="43"><span class="lineNum">      43 </span>            : //      typedef ... myctype ;</a>
+<a name="44"><span class="lineNum">      44 </span>            : //      GrB_Type MyType ;</a>
+<a name="45"><span class="lineNum">      45 </span>            : //      GrB_Type_new (&amp;MyType, sizeof (myctype)) ;</a>
+<a name="46"><span class="lineNum">      46 </span>            : //</a>
+<a name="47"><span class="lineNum">      47 </span>            : // In this case, LAGraph_*TypeName returns the string &quot;myctype&quot;.</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : // Currently, these methods require SuiteSparse:GraphBLAS.  Other GraphBLAS</a>
+<a name="50"><span class="lineNum">      50 </span>            : // libraries will result in a return value of GrB_NOT_IMPLEMENTED, and the name</a>
+<a name="51"><span class="lineNum">      51 </span>            : // is returned as an empty string.  The type cannot be queried using the v2.0 C</a>
+<a name="52"><span class="lineNum">      52 </span>            : // API.  This will be resolved in a future C API spec.</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : //------------------------------------------------------------------------------</a>
+<a name="57"><span class="lineNum">      57 </span>            : // LAGraph_Matrix_TypeName: return the name of the GrB_Type of a GrB_Matrix</a>
+<a name="58"><span class="lineNum">      58 </span>            : //------------------------------------------------------------------------------</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">      29367 : int LAGraph_Matrix_TypeName</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : (</a>
+<a name="62"><span class="lineNum">      62 </span>            :     // output:</a>
+<a name="63"><span class="lineNum">      63 </span>            :     char *name,     // name of the type of the matrix A (user-provided array</a>
+<a name="64"><span class="lineNum">      64 </span>            :                     // of size at least LAGRAPH_MAX_NAME_LEN).</a>
+<a name="65"><span class="lineNum">      65 </span>            :     // input:</a>
+<a name="66"><span class="lineNum">      66 </span>            :     GrB_Matrix A,   // matrix to query</a>
+<a name="67"><span class="lineNum">      67 </span>            :     char *msg</a>
+<a name="68"><span class="lineNum">      68 </span>            : )</a>
+<a name="69"><span class="lineNum">      69 </span>            : {</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            :     // check inputs</a>
+<a name="73"><span class="lineNum">      73 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">      29367 :     LG_CLEAR_MSG ;</span></a>
+<a name="76"><span class="lineNum">      76 </span><span class="lineCov">      29367 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // determine the name of the type of the GrB_Matrix A</a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     #if 1 // LAGRAPH_SUITESPARSE</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">      29367 :     return (GxB_Matrix_type_name (name, A)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :     #else</a>
+<a name="85"><span class="lineNum">      85 </span>            :     name [0] = '\0' ;</a>
+<a name="86"><span class="lineNum">      86 </span>            :     return (GrB_NOT_IMPLEMENTED) ;</a>
+<a name="87"><span class="lineNum">      87 </span>            :     #endif</a>
+<a name="88"><span class="lineNum">      88 </span>            : }</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            : //------------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            : // LAGraph_Vector_TypeName: return the name of the GrB_Type of a GrB_Vector</a>
+<a name="92"><span class="lineNum">      92 </span>            : //------------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">      25383 : int LAGraph_Vector_TypeName</span></a>
+<a name="95"><span class="lineNum">      95 </span>            : (</a>
+<a name="96"><span class="lineNum">      96 </span>            :     // output:</a>
+<a name="97"><span class="lineNum">      97 </span>            :     char *name,     // name of the type of the vector v (user-provided array</a>
+<a name="98"><span class="lineNum">      98 </span>            :                     // of size at least LAGRAPH_MAX_NAME_LEN).</a>
+<a name="99"><span class="lineNum">      99 </span>            :     // input:</a>
+<a name="100"><span class="lineNum">     100 </span>            :     GrB_Vector v,   // vector to query</a>
+<a name="101"><span class="lineNum">     101 </span>            :     char *msg</a>
+<a name="102"><span class="lineNum">     102 </span>            : )</a>
+<a name="103"><span class="lineNum">     103 </span>            : {</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            :     // check inputs</a>
+<a name="107"><span class="lineNum">     107 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">      25383 :     LG_CLEAR_MSG ;</span></a>
+<a name="110"><span class="lineNum">     110 </span><span class="lineCov">      25383 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="111"><span class="lineNum">     111 </span>            : </a>
+<a name="112"><span class="lineNum">     112 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="113"><span class="lineNum">     113 </span>            :     // determine the name of the type of the GrB_Vector v</a>
+<a name="114"><span class="lineNum">     114 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            : </a>
+<a name="116"><span class="lineNum">     116 </span>            :     #if 1 // LAGRAPH_SUITESPARSE</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">      25383 :     return (GxB_Vector_type_name (name, v)) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :     #else</a>
+<a name="119"><span class="lineNum">     119 </span>            :     name [0] = '\0' ;</a>
+<a name="120"><span class="lineNum">     120 </span>            :     return (GrB_NOT_IMPLEMENTED) ;</a>
+<a name="121"><span class="lineNum">     121 </span>            :     #endif</a>
+<a name="122"><span class="lineNum">     122 </span>            : }</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            : //------------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            : // LAGraph_Scalar_TypeName: return the name of the GrB_Type of a GrB_Scalar</a>
+<a name="126"><span class="lineNum">     126 </span>            : //------------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">          3 : int LAGraph_Scalar_TypeName</span></a>
+<a name="129"><span class="lineNum">     129 </span>            : (</a>
+<a name="130"><span class="lineNum">     130 </span>            :     // output:</a>
+<a name="131"><span class="lineNum">     131 </span>            :     char *name,     // name of the type of the scalar s (user-provided array</a>
+<a name="132"><span class="lineNum">     132 </span>            :                     // of size at least LAGRAPH_MAX_NAME_LEN).</a>
+<a name="133"><span class="lineNum">     133 </span>            :     // input:</a>
+<a name="134"><span class="lineNum">     134 </span>            :     GrB_Scalar s,   // scalar to query</a>
+<a name="135"><span class="lineNum">     135 </span>            :     char *msg</a>
+<a name="136"><span class="lineNum">     136 </span>            : )</a>
+<a name="137"><span class="lineNum">     137 </span>            : {</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            :     // check inputs</a>
+<a name="141"><span class="lineNum">     141 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span><span class="lineCov">          3 :     LG_CLEAR_MSG ;</span></a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">          3 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            :     // determine the name of the type of the GrB_Scalar s</a>
+<a name="148"><span class="lineNum">     148 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            :     #if 1 // LAGRAPH_SUITESPARSE</a>
+<a name="151"><span class="lineNum">     151 </span><span class="lineCov">          2 :     return (GxB_Scalar_type_name (name, s)) ;</span></a>
+<a name="152"><span class="lineNum">     152 </span>            :     #else</a>
+<a name="153"><span class="lineNum">     153 </span>            :     name [0] = '\0' ;</a>
+<a name="154"><span class="lineNum">     154 </span>            :     return (GrB_NOT_IMPLEMENTED) ;</a>
+<a name="155"><span class="lineNum">     155 </span>            :     #endif</a>
+<a name="156"><span class="lineNum">     156 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqual.c.func-sort-c.html b/src/utility/LAGraph_Vector_IsEqual.c.func-sort-c.html
new file mode 100644
index 0000000000..26f8ecc60c
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqual.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqual.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Vector_IsEqual.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_IsEqual.c.gcov.html#31">LAGraph_Vector_IsEqual</a></td>
+              <td class="coverFnHi">625</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqual.c.func.html b/src/utility/LAGraph_Vector_IsEqual.c.func.html
new file mode 100644
index 0000000000..d8c16e545b
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqual.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqual.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqual.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_IsEqual.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Vector_IsEqual.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_IsEqual.c.gcov.html#31">LAGraph_Vector_IsEqual</a></td>
+              <td class="coverFnHi">625</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqual.c.gcov.html b/src/utility/LAGraph_Vector_IsEqual.c.gcov.html
new file mode 100644
index 0000000000..6c820622c5
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqual.c.gcov.html
@@ -0,0 +1,241 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqual.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqual.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Vector_IsEqual.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntry">46</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Vector_IsEqual: check two vectors for exact equality</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Vector_IsEqual: checks if two vectors are identically equal (same</a>
+<a name="19"><span class="lineNum">      19 </span>            : // size, type, structure, size, and values).</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // See also LAGraph_Matrix_IsEqual.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // If the two vectors are GrB_FP32, GrB_FP64, or related, and have NaNs, then</a>
+<a name="24"><span class="lineNum">      24 </span>            : // this function will return false, since NaN == NaN is false.  To check for</a>
+<a name="25"><span class="lineNum">      25 </span>            : // NaN equality (like isequalwithequalnans in MATLAB), use</a>
+<a name="26"><span class="lineNum">      26 </span>            : // LAGraph_Vector_IsEqualOp with a user-defined operator f(x,y) that returns</a>
+<a name="27"><span class="lineNum">      27 </span>            : // true if x and y are both NaN.</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LG_FREE_WORK GrB_free (&amp;C) ;</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        625 : int LAGraph_Vector_IsEqual</span></a>
+<a name="34"><span class="lineNum">      34 </span>            : (</a>
+<a name="35"><span class="lineNum">      35 </span>            :     // output:</a>
+<a name="36"><span class="lineNum">      36 </span>            :     bool *result,           // true if A == B, false if A != B or error</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // input:</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const GrB_Vector A,</a>
+<a name="39"><span class="lineNum">      39 </span>            :     const GrB_Vector B,</a>
+<a name="40"><span class="lineNum">      40 </span>            :     char *msg</a>
+<a name="41"><span class="lineNum">      41 </span>            : )</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="45"><span class="lineNum">      45 </span>            :     // check inputs</a>
+<a name="46"><span class="lineNum">      46 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        625 :     LG_CLEAR_MSG ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        625 :     GrB_Vector C = NULL ;</span></a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        625 :     LG_ASSERT (result != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            :     // check for NULL and aliased vectors</a>
+<a name="54"><span class="lineNum">      54 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        624 :     if (A == NULL || B == NULL || A == B)</span></a>
+<a name="57"><span class="lineNum">      57 </span>            :     {</a>
+<a name="58"><span class="lineNum">      58 </span>            :         // two NULL vectors are identical, as are two aliased matrices</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">         65 :         (*result) = (A == B) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">         65 :         return (GrB_SUCCESS) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            :     }</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="64"><span class="lineNum">      64 </span>            :     // compare the type of A and B</a>
+<a name="65"><span class="lineNum">      65 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="66"><span class="lineNum">      66 </span>            : </a>
+<a name="67"><span class="lineNum">      67 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="68"><span class="lineNum">      68 </span>            :     char btype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        559 :     LG_TRY (LAGraph_Vector_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        559 :     LG_TRY (LAGraph_Vector_TypeName (btype_name, B, msg)) ;</span></a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">        559 :     if (!MATCHNAME (atype_name, btype_name))</span></a>
+<a name="72"><span class="lineNum">      72 </span>            :     {</a>
+<a name="73"><span class="lineNum">      73 </span>            :         // types differ</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">          1 :         (*result) = false ;</span></a>
+<a name="75"><span class="lineNum">      75 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="76"><span class="lineNum">      76 </span>            :     }</a>
+<a name="77"><span class="lineNum">      77 </span>            : </a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            :     // compare the size of A and B</a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :     GrB_Index nrows1, nrows2;</a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        558 :     GRB_TRY (GrB_Vector_size (&amp;nrows1, A)) ;</span></a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">        558 :     GRB_TRY (GrB_Vector_size (&amp;nrows2, B)) ;</span></a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        558 :     if (nrows1 != nrows2)</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :     {</a>
+<a name="87"><span class="lineNum">      87 </span>            :         // # of rows differ</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">          4 :         (*result) = false ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">          4 :         return (GrB_SUCCESS) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            :     // compare the # entries in A and B</a>
+<a name="94"><span class="lineNum">      94 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     GrB_Index nvals1, nvals2 ;</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">        554 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals1, A)) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        554 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals2, B)) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span><span class="lineCov">        554 :     if (nvals1 != nvals2)</span></a>
+<a name="100"><span class="lineNum">     100 </span>            :     {</a>
+<a name="101"><span class="lineNum">     101 </span>            :         // # of entries differ</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">         78 :         (*result) = false ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">         78 :         return (GrB_SUCCESS) ;</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     }</a>
+<a name="105"><span class="lineNum">     105 </span>            : </a>
+<a name="106"><span class="lineNum">     106 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="107"><span class="lineNum">     107 </span>            :     // get the GrB_EQ_type operator</a>
+<a name="108"><span class="lineNum">     108 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     GrB_Type type ;</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        476 :     LG_TRY (LAGraph_TypeFromName (&amp;type, atype_name, msg)) ;</span></a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">        476 :     GrB_BinaryOp op = NULL ;</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :     // select the comparator operator</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">        476 :     if      (type == GrB_BOOL  ) op = GrB_EQ_BOOL   ;</span></a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">        462 :     else if (type == GrB_INT8  ) op = GrB_EQ_INT8   ;</span></a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">        462 :     else if (type == GrB_INT16 ) op = GrB_EQ_INT16  ;</span></a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">        462 :     else if (type == GrB_INT32 ) op = GrB_EQ_INT32  ;</span></a>
+<a name="118"><span class="lineNum">     118 </span><span class="lineCov">        422 :     else if (type == GrB_INT64 ) op = GrB_EQ_INT64  ;</span></a>
+<a name="119"><span class="lineNum">     119 </span><span class="lineCov">        422 :     else if (type == GrB_UINT8 ) op = GrB_EQ_UINT8  ;</span></a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">        422 :     else if (type == GrB_UINT16) op = GrB_EQ_UINT16 ;</span></a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        422 :     else if (type == GrB_UINT32) op = GrB_EQ_UINT32 ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        422 :     else if (type == GrB_UINT64) op = GrB_EQ_UINT64 ;</span></a>
+<a name="123"><span class="lineNum">     123 </span><span class="lineCov">        420 :     else if (type == GrB_FP32  ) op = GrB_EQ_FP32   ;</span></a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">        420 :     else if (type == GrB_FP64  ) op = GrB_EQ_FP64   ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            :     #if 0</a>
+<a name="126"><span class="lineNum">     126 </span>            :     else if (type == GxB_FC32  ) op = GxB_EQ_FC32   ;</a>
+<a name="127"><span class="lineNum">     127 </span>            :     else if (type == GxB_FC64  ) op = GxB_EQ_FC64   ;</a>
+<a name="128"><span class="lineNum">     128 </span>            :     #endif</a>
+<a name="129"><span class="lineNum">     129 </span>            : </a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">        476 :     LG_ASSERT_MSG (op != NULL, GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            :     // C = A .* B, where the structure of C is the intersection of A and B</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">        476 :     GRB_TRY (GrB_Vector_new (&amp;C, GrB_BOOL, nrows1)) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span><span class="lineCov">        452 :     GRB_TRY (GrB_eWiseMult (C, NULL, NULL, op, A, B, NULL)) ;</span></a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            :     // ensure C has the same number of entries as A and B</a>
+<a name="141"><span class="lineNum">     141 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            :     GrB_Index nvals ;</a>
+<a name="144"><span class="lineNum">     144 </span><span class="lineCov">        429 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, C)) ;</span></a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        429 :     if (nvals != nvals1)</span></a>
+<a name="146"><span class="lineNum">     146 </span>            :     {</a>
+<a name="147"><span class="lineNum">     147 </span>            :         // structure of A and B are different</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          1 :         LG_FREE_WORK ;</span></a>
+<a name="149"><span class="lineNum">     149 </span><span class="lineCov">          1 :         (*result) = false ;</span></a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :     }</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="154"><span class="lineNum">     154 </span>            :     // result = and (C)</a>
+<a name="155"><span class="lineNum">     155 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span><span class="lineCov">        428 :     GRB_TRY (GrB_reduce (result, NULL, GrB_LAND_MONOID_BOOL, C, NULL)) ;</span></a>
+<a name="158"><span class="lineNum">     158 </span>            : </a>
+<a name="159"><span class="lineNum">     159 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="160"><span class="lineNum">     160 </span>            :     // free workspace and return result</a>
+<a name="161"><span class="lineNum">     161 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="162"><span class="lineNum">     162 </span>            : </a>
+<a name="163"><span class="lineNum">     163 </span><span class="lineCov">        428 :     LG_FREE_WORK ;</span></a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        428 :     return (GrB_SUCCESS) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqualOp.c.func-sort-c.html b/src/utility/LAGraph_Vector_IsEqualOp.c.func-sort-c.html
new file mode 100644
index 0000000000..5b4ef02181
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqualOp.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqualOp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqualOp.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_IsEqualOp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Vector_IsEqualOp.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_IsEqualOp.c.gcov.html#29">LAGraph_Vector_IsEqualOp</a></td>
+              <td class="coverFnHi">275</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqualOp.c.func.html b/src/utility/LAGraph_Vector_IsEqualOp.c.func.html
new file mode 100644
index 0000000000..01afc7900c
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqualOp.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqualOp.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqualOp.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_IsEqualOp.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Vector_IsEqualOp.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_IsEqualOp.c.gcov.html#29">LAGraph_Vector_IsEqualOp</a></td>
+              <td class="coverFnHi">275</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_IsEqualOp.c.gcov.html b/src/utility/LAGraph_Vector_IsEqualOp.c.gcov.html
new file mode 100644
index 0000000000..051fdc77b5
--- /dev/null
+++ b/src/utility/LAGraph_Vector_IsEqualOp.c.gcov.html
@@ -0,0 +1,199 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_IsEqualOp.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_IsEqualOp.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Vector_IsEqualOp.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntry">27</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Vector_IsEqualOp: compare two vectors with a given op</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Vector_IsEqualOp: checks if two vectors are equal (same size,</a>
+<a name="19"><span class="lineNum">      19 </span>            : // structure, size, and values), using a provided binary operator.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : // See also LAGraph_Matrix_IsEqualOp.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #define LG_FREE_WORK GrB_free (&amp;C) ;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGraph_Vector_IsEqualOp:  compare two vectors using a given operator</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">        275 : int LAGraph_Vector_IsEqualOp</span></a>
+<a name="32"><span class="lineNum">      32 </span>            : (</a>
+<a name="33"><span class="lineNum">      33 </span>            :     // output:</a>
+<a name="34"><span class="lineNum">      34 </span>            :     bool *result,           // true if A == B, false if A != B or error</a>
+<a name="35"><span class="lineNum">      35 </span>            :     // input:</a>
+<a name="36"><span class="lineNum">      36 </span>            :     const GrB_Vector A,</a>
+<a name="37"><span class="lineNum">      37 </span>            :     const GrB_Vector B,</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const GrB_BinaryOp op,        // comparator to use</a>
+<a name="39"><span class="lineNum">      39 </span>            :     char *msg</a>
+<a name="40"><span class="lineNum">      40 </span>            : )</a>
+<a name="41"><span class="lineNum">      41 </span>            : {</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="44"><span class="lineNum">      44 </span>            :     // check inputs</a>
+<a name="45"><span class="lineNum">      45 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        275 :     LG_CLEAR_MSG ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        275 :     GrB_Vector C = NULL ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        275 :     LG_ASSERT (op != NULL &amp;&amp; result != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            :     // check for NULL and aliased vectors</a>
+<a name="53"><span class="lineNum">      53 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        274 :     if (A == NULL || B == NULL || A == B)</span></a>
+<a name="56"><span class="lineNum">      56 </span>            :     {</a>
+<a name="57"><span class="lineNum">      57 </span>            :         // two NULL vectors are identical, as are two aliased matrices</a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :         (*result) = (A == B) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="60"><span class="lineNum">      60 </span>            :     }</a>
+<a name="61"><span class="lineNum">      61 </span>            : </a>
+<a name="62"><span class="lineNum">      62 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            :     // compare the size of A and B</a>
+<a name="64"><span class="lineNum">      64 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="65"><span class="lineNum">      65 </span>            : </a>
+<a name="66"><span class="lineNum">      66 </span>            :     GrB_Index nrows1, nrows2;</a>
+<a name="67"><span class="lineNum">      67 </span><span class="lineCov">        273 :     GRB_TRY (GrB_Vector_size (&amp;nrows1, A)) ;</span></a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        273 :     GRB_TRY (GrB_Vector_size (&amp;nrows2, B)) ;</span></a>
+<a name="69"><span class="lineNum">      69 </span><span class="lineCov">        273 :     if (nrows1 != nrows2)</span></a>
+<a name="70"><span class="lineNum">      70 </span>            :     {</a>
+<a name="71"><span class="lineNum">      71 </span>            :         // # of rows differ</a>
+<a name="72"><span class="lineNum">      72 </span><span class="lineCov">          1 :         (*result) = false ;</span></a>
+<a name="73"><span class="lineNum">      73 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="74"><span class="lineNum">      74 </span>            :     }</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="77"><span class="lineNum">      77 </span>            :     // compare the # entries in A and B</a>
+<a name="78"><span class="lineNum">      78 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     GrB_Index nvals1, nvals2 ;</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">        272 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals1, A)) ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">        272 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals2, B)) ;</span></a>
+<a name="83"><span class="lineNum">      83 </span><span class="lineCov">        272 :     if (nvals1 != nvals2)</span></a>
+<a name="84"><span class="lineNum">      84 </span>            :     {</a>
+<a name="85"><span class="lineNum">      85 </span>            :         // # of entries differ</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">         57 :         (*result) = false ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">         57 :         return (GrB_SUCCESS) ;</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     }</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="91"><span class="lineNum">      91 </span>            :     // C = A .* B, where the structure of C is the intersection of A and B</a>
+<a name="92"><span class="lineNum">      92 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="93"><span class="lineNum">      93 </span>            : </a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">        215 :     GRB_TRY (GrB_Vector_new (&amp;C, GrB_BOOL, nrows1)) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        215 :     GRB_TRY (GrB_eWiseMult (C, NULL, NULL, op, A, B, NULL)) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // ensure C has the same number of entries as A and B</a>
+<a name="99"><span class="lineNum">      99 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :     GrB_Index nvals ;</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        215 :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, C)) ;</span></a>
+<a name="103"><span class="lineNum">     103 </span><span class="lineCov">        215 :     if (nvals != nvals1)</span></a>
+<a name="104"><span class="lineNum">     104 </span>            :     {</a>
+<a name="105"><span class="lineNum">     105 </span>            :         // structure of A and B are different</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">          1 :         LG_FREE_WORK ;</span></a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">          1 :         (*result) = false ;</span></a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">          1 :         return (GrB_SUCCESS) ;</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :     }</a>
+<a name="110"><span class="lineNum">     110 </span>            : </a>
+<a name="111"><span class="lineNum">     111 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="112"><span class="lineNum">     112 </span>            :     // result = and (C)</a>
+<a name="113"><span class="lineNum">     113 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="114"><span class="lineNum">     114 </span>            : </a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">        214 :     GRB_TRY (GrB_reduce (result, NULL, GrB_LAND_MONOID_BOOL, C, NULL)) ;</span></a>
+<a name="116"><span class="lineNum">     116 </span>            : </a>
+<a name="117"><span class="lineNum">     117 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="118"><span class="lineNum">     118 </span>            :     // free workspace and return result</a>
+<a name="119"><span class="lineNum">     119 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="120"><span class="lineNum">     120 </span>            : </a>
+<a name="121"><span class="lineNum">     121 </span><span class="lineCov">        214 :     LG_FREE_WORK ;</span></a>
+<a name="122"><span class="lineNum">     122 </span><span class="lineCov">        214 :     return (GrB_SUCCESS) ;</span></a>
+<a name="123"><span class="lineNum">     123 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Print.c.func-sort-c.html b/src/utility/LAGraph_Vector_Print.c.func-sort-c.html
new file mode 100644
index 0000000000..1c231255f0
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Print.c.func-sort-c.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Vector_Print.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#88">LG_Vector_Print_INT16</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#87">LG_Vector_Print_INT8</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#92">LG_Vector_Print_UINT16</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#91">LG_Vector_Print_UINT8</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#95">LG_Vector_Print_FP32</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#86">LG_Vector_Print_BOOL</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#93">LG_Vector_Print_UINT32</a></td>
+              <td class="coverFnHi">23</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#89">LG_Vector_Print_INT32</a></td>
+              <td class="coverFnHi">33</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#96">LG_Vector_Print_FP64</a></td>
+              <td class="coverFnHi">52</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#94">LG_Vector_Print_UINT64</a></td>
+              <td class="coverFnHi">95</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#90">LG_Vector_Print_INT64</a></td>
+              <td class="coverFnHi">317</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#112">LAGraph_Vector_Print</a></td>
+              <td class="coverFnHi">552</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Print.c.func.html b/src/utility/LAGraph_Vector_Print.c.func.html
new file mode 100644
index 0000000000..dc59af701b
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Print.c.func.html
@@ -0,0 +1,120 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Print.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Print.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_Print.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Vector_Print.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#112">LAGraph_Vector_Print</a></td>
+              <td class="coverFnHi">552</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#86">LG_Vector_Print_BOOL</a></td>
+              <td class="coverFnHi">8</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#95">LG_Vector_Print_FP32</a></td>
+              <td class="coverFnHi">6</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#96">LG_Vector_Print_FP64</a></td>
+              <td class="coverFnHi">52</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#88">LG_Vector_Print_INT16</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#89">LG_Vector_Print_INT32</a></td>
+              <td class="coverFnHi">33</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#90">LG_Vector_Print_INT64</a></td>
+              <td class="coverFnHi">317</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#87">LG_Vector_Print_INT8</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#92">LG_Vector_Print_UINT16</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#93">LG_Vector_Print_UINT32</a></td>
+              <td class="coverFnHi">23</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#94">LG_Vector_Print_UINT64</a></td>
+              <td class="coverFnHi">95</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Print.c.gcov.html#91">LG_Vector_Print_UINT8</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Print.c.gcov.html b/src/utility/LAGraph_Vector_Print.c.gcov.html
new file mode 100644
index 0000000000..be9742c2a9
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Print.c.gcov.html
@@ -0,0 +1,282 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Print.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Print.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Vector_Print.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntry">40</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntry">12</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Vector_Print:  pretty-print a vector</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Vector_Print:  pretty-print a vector.  The type is either derived</a>
+<a name="19"><span class="lineNum">      19 </span>            : // from GxB_Vector_type (if available) or assumed to be GrB_FP64 otherwise,</a>
+<a name="20"><span class="lineNum">      20 </span>            : // or passed in as a parameter.</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : #undef  LG_FREE_WORK</a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_FREE_WORK                    \</a>
+<a name="26"><span class="lineNum">      26 </span>            : {                                       \</a>
+<a name="27"><span class="lineNum">      27 </span>            :     LAGraph_Free ((void **) &amp;I, NULL) ; \</a>
+<a name="28"><span class="lineNum">      28 </span>            :     LAGraph_Free ((void **) &amp;X, NULL) ; \</a>
+<a name="29"><span class="lineNum">      29 </span>            : }</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : #undef  LG_FREE_ALL</a>
+<a name="32"><span class="lineNum">      32 </span>            : #define LG_FREE_ALL LG_FREE_WORK</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span>            : //------------------------------------------------------------------------------</a>
+<a name="35"><span class="lineNum">      35 </span>            : // LG_Vector_Print_TYPE: print with the specified type</a>
+<a name="36"><span class="lineNum">      36 </span>            : //------------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #define LG_VECTOR_PRINT(suffix,ctype,gtype,fmt1,fmt2)                       \</a>
+<a name="39"><span class="lineNum">      39 </span>            : int LG_Vector_Print_ ## suffix                                              \</a>
+<a name="40"><span class="lineNum">      40 </span>            : (                                                                           \</a>
+<a name="41"><span class="lineNum">      41 </span>            :     GrB_Vector v, LAGraph_PrintLevel pr, FILE *f, char *msg                 \</a>
+<a name="42"><span class="lineNum">      42 </span>            : )                                                                           \</a>
+<a name="43"><span class="lineNum">      43 </span>            : {                                                                           \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     LG_CLEAR_MSG ;                                                          \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     ctype *X = NULL ;                                                       \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_Index *I = NULL ;                                                   \</a>
+<a name="47"><span class="lineNum">      47 </span>            :     LG_ASSERT (v != NULL, GrB_NULL_POINTER) ;                               \</a>
+<a name="48"><span class="lineNum">      48 </span>            :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;                               \</a>
+<a name="49"><span class="lineNum">      49 </span>            :     int prl = (int) pr ;                                                    \</a>
+<a name="50"><span class="lineNum">      50 </span>            :     if (prl &lt;= 0) return (GrB_SUCCESS) ;                                    \</a>
+<a name="51"><span class="lineNum">      51 </span>            :     /* get basic properties */                                              \</a>
+<a name="52"><span class="lineNum">      52 </span>            :     GrB_Index n, nvals ;                                                    \</a>
+<a name="53"><span class="lineNum">      53 </span>            :     GRB_TRY (GrB_Vector_size  (&amp;n, v)) ;                                    \</a>
+<a name="54"><span class="lineNum">      54 </span>            :     GRB_TRY (GrB_Vector_nvals (&amp;nvals, v)) ;                                \</a>
+<a name="55"><span class="lineNum">      55 </span>            :     /* print header line */                                                 \</a>
+<a name="56"><span class="lineNum">      56 </span>            :     FPRINTF (f, &quot;%s vector: n: %&quot; PRIu64 &quot; entries: %&quot; PRIu64               \</a>
+<a name="57"><span class="lineNum">      57 </span>            :         &quot;\n&quot;, LG_XSTR (gtype), n, nvals) ;                                  \</a>
+<a name="58"><span class="lineNum">      58 </span>            :     if (prl &lt;= 1) return (GrB_SUCCESS) ;                                    \</a>
+<a name="59"><span class="lineNum">      59 </span>            :     /* extract tuples */                                                    \</a>
+<a name="60"><span class="lineNum">      60 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;I, nvals, sizeof (GrB_Index), msg)) ;\</a>
+<a name="61"><span class="lineNum">      61 </span>            :     LG_TRY (LAGraph_Malloc ((void **) &amp;X, nvals, sizeof (ctype), msg)) ;    \</a>
+<a name="62"><span class="lineNum">      62 </span>            :     GrB_Info info = GrB_Vector_extractTuples (I, X, &amp;nvals, v) ;            \</a>
+<a name="63"><span class="lineNum">      63 </span>            :     LG_ASSERT_MSG (info != GrB_DOMAIN_MISMATCH,                             \</a>
+<a name="64"><span class="lineNum">      64 </span>            :         GrB_NOT_IMPLEMENTED, &quot;type not supported&quot;) ;                        \</a>
+<a name="65"><span class="lineNum">      65 </span>            :     GRB_TRY (info) ;                                                        \</a>
+<a name="66"><span class="lineNum">      66 </span>            :     /* determine the format */                                              \</a>
+<a name="67"><span class="lineNum">      67 </span>            :     char *format = (prl &lt;= 3) ? fmt1 : fmt2 ;                               \</a>
+<a name="68"><span class="lineNum">      68 </span>            :     bool summary = (prl == 2 || prl == 4) &amp;&amp; (nvals &gt; LG_SHORT_LEN) ;       \</a>
+<a name="69"><span class="lineNum">      69 </span>            :     for (int64_t k = 0 ; k &lt; nvals ; k++)                                   \</a>
+<a name="70"><span class="lineNum">      70 </span>            :     {                                                                       \</a>
+<a name="71"><span class="lineNum">      71 </span>            :         /* print the kth tuple */                                           \</a>
+<a name="72"><span class="lineNum">      72 </span>            :         GrB_Index i = I [k] ;                                               \</a>
+<a name="73"><span class="lineNum">      73 </span>            :         ctype     x = X [k] ;                                               \</a>
+<a name="74"><span class="lineNum">      74 </span>            :         FPRINTF (f, &quot;    (%&quot; PRIu64 &quot;)   &quot;, i) ;                            \</a>
+<a name="75"><span class="lineNum">      75 </span>            :         FPRINTF (f, format, x) ;                                            \</a>
+<a name="76"><span class="lineNum">      76 </span>            :         FPRINTF (f, &quot;\n&quot;) ;                                                 \</a>
+<a name="77"><span class="lineNum">      77 </span>            :         if (summary &amp;&amp; k &gt; LG_SHORT_LEN)                                    \</a>
+<a name="78"><span class="lineNum">      78 </span>            :         {                                                                   \</a>
+<a name="79"><span class="lineNum">      79 </span>            :             /* quit early if a only a summary is requested */               \</a>
+<a name="80"><span class="lineNum">      80 </span>            :             FPRINTF (f, &quot;    ...\n&quot;) ;                                      \</a>
+<a name="81"><span class="lineNum">      81 </span>            :             break ;                                                         \</a>
+<a name="82"><span class="lineNum">      82 </span>            :         }                                                                   \</a>
+<a name="83"><span class="lineNum">      83 </span>            :     }                                                                       \</a>
+<a name="84"><span class="lineNum">      84 </span>            :     LG_FREE_WORK ;                                                          \</a>
+<a name="85"><span class="lineNum">      85 </span>            :     return (GrB_SUCCESS) ;                                                  \</a>
+<a name="86"><span class="lineNum">      86 </span>            : }</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">        114 : LG_VECTOR_PRINT (BOOL  , bool    , GrB_BOOL  , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">         66 : LG_VECTOR_PRINT (INT8  , int8_t  , GrB_INT8  , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">         66 : LG_VECTOR_PRINT (INT16 , int16_t , GrB_INT16 , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">        553 : LG_VECTOR_PRINT (INT32 , int32_t , GrB_INT32 , &quot;%&quot; PRId32, &quot;%&quot; PRId32  ) ;</span></a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">       3317 : LG_VECTOR_PRINT (INT64 , int64_t , GrB_INT64 , &quot;%&quot; PRId64, &quot;%&quot; PRId64  ) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">         66 : LG_VECTOR_PRINT (UINT8 , uint8_t , GrB_UINT8 , &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">         66 : LG_VECTOR_PRINT (UINT16, uint16_t, GrB_UINT16, &quot;%d&quot;  , &quot;%d&quot;    ) ;</span></a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">        339 : LG_VECTOR_PRINT (UINT32, uint32_t, GrB_UINT32, &quot;%&quot; PRIu32, &quot;%&quot; PRIu32  ) ;</span></a>
+<a name="96"><span class="lineNum">      96 </span><span class="lineCov">       1594 : LG_VECTOR_PRINT (UINT64, uint64_t, GrB_UINT64, &quot;%&quot; PRIu64, &quot;%&quot; PRIu64  ) ;</span></a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">         88 : LG_VECTOR_PRINT (FP32  , float   , GrB_FP32  , &quot;%g&quot;  , &quot;%0.7g&quot; ) ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">        980 : LG_VECTOR_PRINT (FP64  , double  , GrB_FP64  , &quot;%g&quot;  , &quot;%0.15g&quot;) ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            : #if 0</a>
+<a name="100"><span class="lineNum">     100 </span>            : // would need to pass in an iscomplex flag to print creal(x) and cimag(x)</a>
+<a name="101"><span class="lineNum">     101 </span>            : LG_VECTOR_PRINT (FC32  , GxB_FC32_t, GxB_FC32, ...) ;</a>
+<a name="102"><span class="lineNum">     102 </span>            : LG_VECTOR_PRINT (FC64  , GxB_FC64_t, GxB_FC64, ...) ;</a>
+<a name="103"><span class="lineNum">     103 </span>            : #endif</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            : #undef  LG_FREE_WORK</a>
+<a name="106"><span class="lineNum">     106 </span>            : #define LG_FREE_WORK ;</a>
+<a name="107"><span class="lineNum">     107 </span>            : #undef  LG_FREE_ALL</a>
+<a name="108"><span class="lineNum">     108 </span>            : #define LG_FREE_ALL ;</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            : //------------------------------------------------------------------------------</a>
+<a name="111"><span class="lineNum">     111 </span>            : // LAGraph_Vector_Print: automatically determine the type</a>
+<a name="112"><span class="lineNum">     112 </span>            : //------------------------------------------------------------------------------</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">        552 : int LAGraph_Vector_Print</span></a>
+<a name="115"><span class="lineNum">     115 </span>            : (</a>
+<a name="116"><span class="lineNum">     116 </span>            :     // input:</a>
+<a name="117"><span class="lineNum">     117 </span>            :     const GrB_Vector v,     // vector to pretty-print to the file</a>
+<a name="118"><span class="lineNum">     118 </span>            :     LAGraph_PrintLevel pr,  // print level (0 to 5)</a>
+<a name="119"><span class="lineNum">     119 </span>            :     FILE *f,            // file to write it to, must be already open; use</a>
+<a name="120"><span class="lineNum">     120 </span>            :                         // stdout or stderr to print to those locations.</a>
+<a name="121"><span class="lineNum">     121 </span>            :     char *msg</a>
+<a name="122"><span class="lineNum">     122 </span>            : )</a>
+<a name="123"><span class="lineNum">     123 </span>            : {</a>
+<a name="124"><span class="lineNum">     124 </span>            : </a>
+<a name="125"><span class="lineNum">     125 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="126"><span class="lineNum">     126 </span>            :     // check inputs</a>
+<a name="127"><span class="lineNum">     127 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="128"><span class="lineNum">     128 </span>            : </a>
+<a name="129"><span class="lineNum">     129 </span><span class="lineCov">        552 :     LG_CLEAR_MSG ;</span></a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">        552 :     LG_ASSERT (v != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="131"><span class="lineNum">     131 </span><span class="lineCov">        552 :     LG_ASSERT (f != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="134"><span class="lineNum">     134 </span>            :     // determine the type</a>
+<a name="135"><span class="lineNum">     135 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :     GrB_Type type ;</a>
+<a name="138"><span class="lineNum">     138 </span>            :     char typename [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="139"><span class="lineNum">     139 </span><span class="lineCov">        551 :     LG_TRY (LAGraph_Vector_TypeName (typename, v, msg)) ;</span></a>
+<a name="140"><span class="lineNum">     140 </span><span class="lineCov">        551 :     LG_TRY (LAGraph_TypeFromName (&amp;type, typename, msg)) ;</span></a>
+<a name="141"><span class="lineNum">     141 </span>            : </a>
+<a name="142"><span class="lineNum">     142 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="143"><span class="lineNum">     143 </span>            :     // print the vector</a>
+<a name="144"><span class="lineNum">     144 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="145"><span class="lineNum">     145 </span>            : </a>
+<a name="146"><span class="lineNum">     146 </span><span class="lineCov">        551 :     if (type == GrB_BOOL)</span></a>
+<a name="147"><span class="lineNum">     147 </span>            :     {</a>
+<a name="148"><span class="lineNum">     148 </span><span class="lineCov">          8 :         return (LG_Vector_Print_BOOL (v, pr, f, msg)) ;</span></a>
+<a name="149"><span class="lineNum">     149 </span>            :     }</a>
+<a name="150"><span class="lineNum">     150 </span><span class="lineCov">        543 :     else if (type == GrB_INT8)</span></a>
+<a name="151"><span class="lineNum">     151 </span>            :     {</a>
+<a name="152"><span class="lineNum">     152 </span><span class="lineCov">          4 :         return (LG_Vector_Print_INT8 (v, pr, f, msg)) ;</span></a>
+<a name="153"><span class="lineNum">     153 </span>            :     }</a>
+<a name="154"><span class="lineNum">     154 </span><span class="lineCov">        539 :     else if (type == GrB_INT16)</span></a>
+<a name="155"><span class="lineNum">     155 </span>            :     {</a>
+<a name="156"><span class="lineNum">     156 </span><span class="lineCov">          4 :         return (LG_Vector_Print_INT16 (v, pr, f, msg)) ;</span></a>
+<a name="157"><span class="lineNum">     157 </span>            :     }</a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">        535 :     else if (type == GrB_INT32)</span></a>
+<a name="159"><span class="lineNum">     159 </span>            :     {</a>
+<a name="160"><span class="lineNum">     160 </span><span class="lineCov">         33 :         return (LG_Vector_Print_INT32 (v, pr, f, msg)) ;</span></a>
+<a name="161"><span class="lineNum">     161 </span>            :     }</a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        502 :     else if (type == GrB_INT64)</span></a>
+<a name="163"><span class="lineNum">     163 </span>            :     {</a>
+<a name="164"><span class="lineNum">     164 </span><span class="lineCov">        317 :         return (LG_Vector_Print_INT64 (v, pr, f, msg)) ;</span></a>
+<a name="165"><span class="lineNum">     165 </span>            :     }</a>
+<a name="166"><span class="lineNum">     166 </span><span class="lineCov">        185 :     else if (type == GrB_UINT8)</span></a>
+<a name="167"><span class="lineNum">     167 </span>            :     {</a>
+<a name="168"><span class="lineNum">     168 </span><span class="lineCov">          4 :         return (LG_Vector_Print_UINT8 (v, pr, f, msg)) ;</span></a>
+<a name="169"><span class="lineNum">     169 </span>            :     }</a>
+<a name="170"><span class="lineNum">     170 </span><span class="lineCov">        181 :     else if (type == GrB_UINT16)</span></a>
+<a name="171"><span class="lineNum">     171 </span>            :     {</a>
+<a name="172"><span class="lineNum">     172 </span><span class="lineCov">          4 :         return (LG_Vector_Print_UINT16 (v, pr, f, msg)) ;</span></a>
+<a name="173"><span class="lineNum">     173 </span>            :     }</a>
+<a name="174"><span class="lineNum">     174 </span><span class="lineCov">        177 :     else if (type == GrB_UINT32)</span></a>
+<a name="175"><span class="lineNum">     175 </span>            :     {</a>
+<a name="176"><span class="lineNum">     176 </span><span class="lineCov">         23 :         return (LG_Vector_Print_UINT32 (v, pr, f, msg)) ;</span></a>
+<a name="177"><span class="lineNum">     177 </span>            :     }</a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">        154 :     else if (type == GrB_UINT64)</span></a>
+<a name="179"><span class="lineNum">     179 </span>            :     {</a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">         95 :         return (LG_Vector_Print_UINT64 (v, pr, f, msg)) ;</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :     }</a>
+<a name="182"><span class="lineNum">     182 </span><span class="lineCov">         59 :     else if (type == GrB_FP32)</span></a>
+<a name="183"><span class="lineNum">     183 </span>            :     {</a>
+<a name="184"><span class="lineNum">     184 </span><span class="lineCov">          6 :         return (LG_Vector_Print_FP32 (v, pr, f, msg)) ;</span></a>
+<a name="185"><span class="lineNum">     185 </span>            :     }</a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">         53 :     else if (type == GrB_FP64)</span></a>
+<a name="187"><span class="lineNum">     187 </span>            :     {</a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">         52 :         return (LG_Vector_Print_FP64 (v, pr, f, msg)) ;</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :     }</a>
+<a name="190"><span class="lineNum">     190 </span>            :     #if 0</a>
+<a name="191"><span class="lineNum">     191 </span>            :     else if (type == GxB_FC32)</a>
+<a name="192"><span class="lineNum">     192 </span>            :     {</a>
+<a name="193"><span class="lineNum">     193 </span>            :         return (LG_Vector_Print_FC32 (v, pr, f, msg)) ;</a>
+<a name="194"><span class="lineNum">     194 </span>            :     }</a>
+<a name="195"><span class="lineNum">     195 </span>            :     else if (type == GxB_FC32)</a>
+<a name="196"><span class="lineNum">     196 </span>            :     {</a>
+<a name="197"><span class="lineNum">     197 </span>            :         return (LG_Vector_Print_FC64 (v, pr, f, msg)) ;</a>
+<a name="198"><span class="lineNum">     198 </span>            :     }</a>
+<a name="199"><span class="lineNum">     199 </span>            :     #endif</a>
+<a name="200"><span class="lineNum">     200 </span>            :     else</a>
+<a name="201"><span class="lineNum">     201 </span>            :     {</a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">          1 :         LG_ASSERT_MSG (false,</span></a>
+<a name="203"><span class="lineNum">     203 </span>            :             GrB_NOT_IMPLEMENTED, &quot;user-defined types not supported&quot;) ;</a>
+<a name="204"><span class="lineNum">     204 </span>            :         return (GrB_SUCCESS) ;</a>
+<a name="205"><span class="lineNum">     205 </span>            :     }</a>
+<a name="206"><span class="lineNum">     206 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Structure.c.func-sort-c.html b/src/utility/LAGraph_Vector_Structure.c.func-sort-c.html
new file mode 100644
index 0000000000..cd28e5ed2a
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Structure.c.func-sort-c.html
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+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
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+<body>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Structure.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Vector_Structure.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Structure.c.gcov.html#23">LAGraph_Vector_Structure</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Structure.c.func.html b/src/utility/LAGraph_Vector_Structure.c.func.html
new file mode 100644
index 0000000000..c96fa1b239
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Structure.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Structure.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Structure.c<span style="font-size: 80%;"> (<a href="LAGraph_Vector_Structure.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Vector_Structure.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Vector_Structure.c.gcov.html#23">LAGraph_Vector_Structure</a></td>
+              <td class="coverFnHi">4</td>
+            </tr>
+  </table>
+  <br>
+  </center>
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+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Vector_Structure.c.gcov.html b/src/utility/LAGraph_Vector_Structure.c.gcov.html
new file mode 100644
index 0000000000..1b4f21d9fe
--- /dev/null
+++ b/src/utility/LAGraph_Vector_Structure.c.gcov.html
@@ -0,0 +1,137 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Vector_Structure.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Vector_Structure.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Vector_Structure.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Vector_Structure: return the structure of a vector</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // LAGraph_Vector_Structure: return the structure of a vector as a boolean</a>
+<a name="19"><span class="lineNum">      19 </span>            : // vector, where w(i)=true if the entry u(i) is present in the vector u.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL GrB_free (w) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span><span class="lineCov">          4 : int LAGraph_Vector_Structure</span></a>
+<a name="26"><span class="lineNum">      26 </span>            : (</a>
+<a name="27"><span class="lineNum">      27 </span>            :     // output:</a>
+<a name="28"><span class="lineNum">      28 </span>            :     GrB_Vector *w,  // a boolean matrix with same structure of u, with w(i)</a>
+<a name="29"><span class="lineNum">      29 </span>            :                     // set to true if u(i) appears in the sparsity structure</a>
+<a name="30"><span class="lineNum">      30 </span>            :                     // of u.</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // input:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_Vector u,</a>
+<a name="33"><span class="lineNum">      33 </span>            :     char *msg</a>
+<a name="34"><span class="lineNum">      34 </span>            : )</a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // check inputs</a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">          4 :     LG_CLEAR_MSG ;</span></a>
+<a name="42"><span class="lineNum">      42 </span>            :     GrB_Index n ;</a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          4 :     LG_ASSERT_MSG (w != NULL, GrB_NULL_POINTER, &quot;&amp;w != NULL&quot;) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          3 :     LG_ASSERT (u != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          2 :     (*w) = NULL ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            :     // get the size of u</a>
+<a name="49"><span class="lineNum">      49 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_size (&amp;n, u)) ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            :     // w&lt;s(u)&gt; = true</a>
+<a name="55"><span class="lineNum">      55 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">          2 :     GRB_TRY (GrB_Vector_new (w, GrB_BOOL, n)) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          2 :     GRB_TRY (GrB_assign (*w, u, NULL, (bool) true, GrB_ALL, n, GrB_DESC_S)) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">          2 :     return (GrB_SUCCESS) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Version.c.func-sort-c.html b/src/utility/LAGraph_Version.c.func-sort-c.html
new file mode 100644
index 0000000000..005d656d34
--- /dev/null
+++ b/src/utility/LAGraph_Version.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Version.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Version.c<span style="font-size: 80%;"> (<a href="LAGraph_Version.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_Version.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Version.c.gcov.html#32">LAGraph_Version</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Version.c.func.html b/src/utility/LAGraph_Version.c.func.html
new file mode 100644
index 0000000000..31f6104d2a
--- /dev/null
+++ b/src/utility/LAGraph_Version.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Version.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Version.c<span style="font-size: 80%;"> (<a href="LAGraph_Version.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_Version.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_Version.c.gcov.html#32">LAGraph_Version</a></td>
+              <td class="coverFnHi">1</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_Version.c.gcov.html b/src/utility/LAGraph_Version.c.gcov.html
new file mode 100644
index 0000000000..158f978f1e
--- /dev/null
+++ b/src/utility/LAGraph_Version.c.gcov.html
@@ -0,0 +1,135 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_Version.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_Version.c<span style="font-size: 80%;"> (source / <a href="LAGraph_Version.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_Version: return the LAGraph version number and date</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // The version number and date can also be obtained via compile-time constants</a>
+<a name="19"><span class="lineNum">      19 </span>            : // from LAGraph.h.  However, it is possible to compile a user application that</a>
+<a name="20"><span class="lineNum">      20 </span>            : // #includes one version of LAGraph.h and then links with another version of</a>
+<a name="21"><span class="lineNum">      21 </span>            : // the LAGraph library later on, so the version number and date may differ from</a>
+<a name="22"><span class="lineNum">      22 </span>            : // the compile-time constants.</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // The LAGraph_Version method allows the library itself to be</a>
+<a name="25"><span class="lineNum">      25 </span>            : // queried, after it is linked in with the user application.</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // The version_number array is set to LAGRAPH_VERSION_MAJOR,</a>
+<a name="28"><span class="lineNum">      28 </span>            : // LAGRAPH_VERSION_MINOR, and LAGRAPH_VERSION_UPDATE, in that order.</a>
+<a name="29"><span class="lineNum">      29 </span>            : // The LAGRAPH_DATE string is copied into the user-provided version_date</a>
+<a name="30"><span class="lineNum">      30 </span>            : // string, and is null-terminated.</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="33"><span class="lineNum">      33 </span>            : </a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">          1 : int LAGraph_Version</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : (</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // output:</a>
+<a name="37"><span class="lineNum">      37 </span>            :     int version_number [3],     // user-provided array of size 3</a>
+<a name="38"><span class="lineNum">      38 </span>            :     char version_date [LAGRAPH_MSG_LEN],    // user-provided array</a>
+<a name="39"><span class="lineNum">      39 </span>            :     char *msg</a>
+<a name="40"><span class="lineNum">      40 </span>            : )</a>
+<a name="41"><span class="lineNum">      41 </span>            : {</a>
+<a name="42"><span class="lineNum">      42 </span>            : </a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">          1 :     LG_CLEAR_MSG ;</span></a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            :     // check inputs</a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">          1 :     LG_ASSERT (version_number != NULL &amp;&amp; version_date != NULL,</span></a>
+<a name="47"><span class="lineNum">      47 </span>            :         GrB_NULL_POINTER) ;</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            :     // get version number and date</a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">          1 :     version_number [0] = LAGRAPH_VERSION_MAJOR ;</span></a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">          1 :     version_number [1] = LAGRAPH_VERSION_MINOR ;</span></a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">          1 :     version_number [2] = LAGRAPH_VERSION_UPDATE ;</span></a>
+<a name="53"><span class="lineNum">      53 </span><span class="lineCov">          1 :     strncpy (version_date, LAGRAPH_DATE, LAGRAPH_MSG_LEN) ;</span></a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            :     // make sure the date is null-terminated</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">          1 :     version_date [LAGRAPH_MSG_LEN-1] = '\0' ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">          1 :     return (GrB_SUCCESS) ;</span></a>
+<a name="59"><span class="lineNum">      59 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_WallClockTime.c.func-sort-c.html b/src/utility/LAGraph_WallClockTime.c.func-sort-c.html
new file mode 100644
index 0000000000..a1136680c1
--- /dev/null
+++ b/src/utility/LAGraph_WallClockTime.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_WallClockTime.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_WallClockTime.c<span style="font-size: 80%;"> (<a href="LAGraph_WallClockTime.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LAGraph_WallClockTime.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_WallClockTime.c.gcov.html#47">LAGraph_WallClockTime</a></td>
+              <td class="coverFnHi">3383</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_WallClockTime.c.func.html b/src/utility/LAGraph_WallClockTime.c.func.html
new file mode 100644
index 0000000000..68b6b07b49
--- /dev/null
+++ b/src/utility/LAGraph_WallClockTime.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_WallClockTime.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_WallClockTime.c<span style="font-size: 80%;"> (<a href="LAGraph_WallClockTime.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LAGraph_WallClockTime.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LAGraph_WallClockTime.c.gcov.html#47">LAGraph_WallClockTime</a></td>
+              <td class="coverFnHi">3383</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LAGraph_WallClockTime.c.gcov.html b/src/utility/LAGraph_WallClockTime.c.gcov.html
new file mode 100644
index 0000000000..d2a24759d9
--- /dev/null
+++ b/src/utility/LAGraph_WallClockTime.c.gcov.html
@@ -0,0 +1,169 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LAGraph_WallClockTime.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LAGraph_WallClockTime.c<span style="font-size: 80%;"> (source / <a href="LAGraph_WallClockTime.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LAGraph_WallClockTime: return the current wall clock time</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // Unlike all other LAGraph functions, this function does not return an error</a>
+<a name="19"><span class="lineNum">      19 </span>            : // code as an int, nor does it have a char *msg parameter for error messages.</a>
+<a name="20"><span class="lineNum">      20 </span>            : // It simply returns the current wall clock time, as a double value, indicating</a>
+<a name="21"><span class="lineNum">      21 </span>            : // the amount of time passed in seconds since some fixed point in the past.</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // Example usage:</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : /*</a>
+<a name="26"><span class="lineNum">      26 </span>            :     double t1 = LAGraph_WallClockTime ( ) ;</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            :     // ... do stuff</a>
+<a name="29"><span class="lineNum">      29 </span>            :     double t2 = LAGraph_WallClockTime ( ) ;</a>
+<a name="30"><span class="lineNum">      30 </span>            :     printf (&quot;time to 'do stuff' : %g (seconds)\n', t2 - t1) ;</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // ... more stuff</a>
+<a name="32"><span class="lineNum">      32 </span>            :     double t3 = LAGraph_WallClockTime ( ) ;</a>
+<a name="33"><span class="lineNum">      33 </span>            :     printf (&quot;time to 'do stuff' and 'more stuff': %g (seconds)\n', t3 - t1) ;</a>
+<a name="34"><span class="lineNum">      34 </span>            : */</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : #if !defined ( _OPENMP )</a>
+<a name="39"><span class="lineNum">      39 </span>            :     #include &lt;time.h&gt;</a>
+<a name="40"><span class="lineNum">      40 </span>            :     #if defined ( __linux__ ) || defined ( __GNU__ )</a>
+<a name="41"><span class="lineNum">      41 </span>            :         #include &lt;sys/time.h&gt;</a>
+<a name="42"><span class="lineNum">      42 </span>            :     #endif</a>
+<a name="43"><span class="lineNum">      43 </span>            :     #if defined ( __MACH__ ) &amp;&amp; defined ( __APPLE__ )</a>
+<a name="44"><span class="lineNum">      44 </span>            :         #include &lt;mach/clock.h&gt;</a>
+<a name="45"><span class="lineNum">      45 </span>            :         #include &lt;mach/mach.h&gt;</a>
+<a name="46"><span class="lineNum">      46 </span>            :     #endif</a>
+<a name="47"><span class="lineNum">      47 </span>            : #endif</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">       3383 : double LAGraph_WallClockTime (void)</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : {</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">       3383 :     double t_wallclock = 0 ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     #if defined ( _OPENMP )</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            :         // OpenMP is available; use the OpenMP timer function</a>
+<a name="56"><span class="lineNum">      56 </span>            :         t_wallclock = omp_get_wtime ( ) ;</a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     #elif defined ( __linux__ )</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            :         // Linux has a very low resolution clock() function, so use the high</a>
+<a name="61"><span class="lineNum">      61 </span>            :         // resolution clock_gettime instead.  May require -lrt</a>
+<a name="62"><span class="lineNum">      62 </span>            :         struct timespec t ;</a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">       3383 :         int e = clock_gettime (CLOCK_MONOTONIC, &amp;t) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">       3383 :         if (e == 0)</span></a>
+<a name="65"><span class="lineNum">      65 </span>            :         {</a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">       3383 :             t_wallclock = (double) t.tv_sec + 1e-9 * ((double) t.tv_nsec) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            :         }</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            :     #elif defined ( __MACH__ )</a>
+<a name="70"><span class="lineNum">      70 </span>            : </a>
+<a name="71"><span class="lineNum">      71 </span>            :         // Mac OSX</a>
+<a name="72"><span class="lineNum">      72 </span>            :         clock_serv_t cclock ;</a>
+<a name="73"><span class="lineNum">      73 </span>            :         mach_timespec_t t ;</a>
+<a name="74"><span class="lineNum">      74 </span>            :         host_get_clock_service (mach_host_self ( ), SYSTEM_CLOCK, &amp;cclock) ;</a>
+<a name="75"><span class="lineNum">      75 </span>            :         clock_get_time (cclock, &amp;t) ;</a>
+<a name="76"><span class="lineNum">      76 </span>            :         mach_port_deallocate (mach_task_self ( ), cclock) ;</a>
+<a name="77"><span class="lineNum">      77 </span>            :         t_wallclock = (double) t.tv_sec + 1e-9 * ((double) t.tv_nsec) ;</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :     #else</a>
+<a name="80"><span class="lineNum">      80 </span>            : </a>
+<a name="81"><span class="lineNum">      81 </span>            :         // The ANSI C11 clock() function is used instead.  This gives the</a>
+<a name="82"><span class="lineNum">      82 </span>            :         // processor time, not the wallclock time, and it might have low</a>
+<a name="83"><span class="lineNum">      83 </span>            :         // resolution.  It returns the time since some unspecified fixed time</a>
+<a name="84"><span class="lineNum">      84 </span>            :         // in the past, as a clock_t integer.  The clock ticks per second are</a>
+<a name="85"><span class="lineNum">      85 </span>            :         // given by CLOCKS_PER_SEC.  In Mac OSX this is a very high resolution</a>
+<a name="86"><span class="lineNum">      86 </span>            :         // clock, and clock ( ) is faster than clock_get_time (...) ;</a>
+<a name="87"><span class="lineNum">      87 </span>            :         clock_t t = clock ( ) ;</a>
+<a name="88"><span class="lineNum">      88 </span>            :         t_wallclock = ((double) t) / ((double) CLOCKS_PER_SEC) ;</a>
+<a name="89"><span class="lineNum">      89 </span>            : </a>
+<a name="90"><span class="lineNum">      90 </span>            :     #endif</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span><span class="lineCov">       3383 :     return (t_wallclock) ;</span></a>
+<a name="93"><span class="lineNum">      93 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_KindName.c.func-sort-c.html b/src/utility/LG_KindName.c.func-sort-c.html
new file mode 100644
index 0000000000..d2b33110a7
--- /dev/null
+++ b/src/utility/LG_KindName.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_KindName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_KindName.c<span style="font-size: 80%;"> (<a href="LG_KindName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_KindName.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_KindName.c.gcov.html#18">LG_KindName</a></td>
+              <td class="coverFnHi">334</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_KindName.c.func.html b/src/utility/LG_KindName.c.func.html
new file mode 100644
index 0000000000..7bfbc3f861
--- /dev/null
+++ b/src/utility/LG_KindName.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_KindName.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_KindName.c<span style="font-size: 80%;"> (<a href="LG_KindName.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_KindName.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_KindName.c.gcov.html#18">LG_KindName</a></td>
+              <td class="coverFnHi">334</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_KindName.c.gcov.html b/src/utility/LG_KindName.c.gcov.html
new file mode 100644
index 0000000000..9854504984
--- /dev/null
+++ b/src/utility/LG_KindName.c.gcov.html
@@ -0,0 +1,125 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_KindName.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_KindName.c<span style="font-size: 80%;"> (source / <a href="LG_KindName.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntry">9</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_KindName: return the name of a kind</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span><span class="lineCov">        334 : int LG_KindName</span></a>
+<a name="21"><span class="lineNum">      21 </span>            : (</a>
+<a name="22"><span class="lineNum">      22 </span>            :     char *name,     // name of the kind (user provided array of size at least</a>
+<a name="23"><span class="lineNum">      23 </span>            :                     // LAGRAPH_MAX_NAME_LEN)</a>
+<a name="24"><span class="lineNum">      24 </span>            :     LAGraph_Kind kind,  // graph kind</a>
+<a name="25"><span class="lineNum">      25 </span>            :     char *msg</a>
+<a name="26"><span class="lineNum">      26 </span>            : )</a>
+<a name="27"><span class="lineNum">      27 </span>            : {</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // check inputs</a>
+<a name="31"><span class="lineNum">      31 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="32"><span class="lineNum">      32 </span>            : </a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">        334 :     LG_CLEAR_MSG ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">        334 :     LG_ASSERT (name != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // determine the name of the kind</a>
+<a name="38"><span class="lineNum">      38 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span><span class="lineCov">        334 :     switch (kind)</span></a>
+<a name="41"><span class="lineNum">      41 </span>            :     {</a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">         91 :         case LAGraph_ADJACENCY_UNDIRECTED : strcpy (name, &quot;undirected&quot;); break ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        241 :         case LAGraph_ADJACENCY_DIRECTED :   strcpy (name, &quot;directed&quot;)  ; break ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">          1 :         case LAGraph_KIND_UNKNOWN :         strcpy (name, &quot;unknown&quot;)   ; break ;</span></a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">          1 :         default : LG_ASSERT_MSG (false, GrB_INVALID_VALUE, &quot;invalid kind&quot;) ;</span></a>
+<a name="46"><span class="lineNum">      46 </span>            :     }</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        333 :     return (GrB_SUCCESS) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_Random.c.func-sort-c.html b/src/utility/LG_Random.c.func-sort-c.html
new file mode 100644
index 0000000000..370f7cfcbe
--- /dev/null
+++ b/src/utility/LG_Random.c.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_Random.c<span style="font-size: 80%;"> (<a href="LG_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_Random.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_Random.c.gcov.html#26">LG_Random60</a></td>
+              <td class="coverFnHi">1768087</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_Random.c.gcov.html#19">LG_Random15</a></td>
+              <td class="coverFnHi">11273171</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_Random.c.func.html b/src/utility/LG_Random.c.func.html
new file mode 100644
index 0000000000..36976e3f1a
--- /dev/null
+++ b/src/utility/LG_Random.c.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_Random.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_Random.c<span style="font-size: 80%;"> (<a href="LG_Random.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_Random.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_Random.c.gcov.html#19">LG_Random15</a></td>
+              <td class="coverFnHi">11273171</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_Random.c.gcov.html#26">LG_Random60</a></td>
+              <td class="coverFnHi">1768087</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_Random.c.gcov.html b/src/utility/LG_Random.c.gcov.html
new file mode 100644
index 0000000000..fbe48f800c
--- /dev/null
+++ b/src/utility/LG_Random.c.gcov.html
@@ -0,0 +1,113 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_Random.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_Random.c<span style="font-size: 80%;"> (source / <a href="LG_Random.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntry">10</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_Random.c: simple and portable random number generator</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // return a random number between 0 and LG_RANDOM15_MAX</a>
+<a name="21"><span class="lineNum">      21 </span><span class="lineCov">   11273171 : GrB_Index LG_Random15 (uint64_t *seed)</span></a>
+<a name="22"><span class="lineNum">      22 </span>            : {</a>
+<a name="23"><span class="lineNum">      23 </span><span class="lineCov">   11273171 :    (*seed) = (*seed) * 1103515245 + 12345 ;</span></a>
+<a name="24"><span class="lineNum">      24 </span><span class="lineCov">   11273171 :    return (((*seed) / 65536) % (LG_RANDOM15_MAX + 1)) ;</span></a>
+<a name="25"><span class="lineNum">      25 </span>            : }</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : // return a random uint64_t, in range 0 to LG_RANDOM60_MAX</a>
+<a name="28"><span class="lineNum">      28 </span><span class="lineCov">    1768087 : GrB_Index LG_Random60 (uint64_t *seed)</span></a>
+<a name="29"><span class="lineNum">      29 </span>            : {</a>
+<a name="30"><span class="lineNum">      30 </span>            :     GrB_Index i ;</a>
+<a name="31"><span class="lineNum">      31 </span><span class="lineCov">    1768087 :     i = LG_Random15 (seed) ;</span></a>
+<a name="32"><span class="lineNum">      32 </span><span class="lineCov">    1768087 :     i = LG_Random15 (seed) + LG_RANDOM15_MAX * i ;</span></a>
+<a name="33"><span class="lineNum">      33 </span><span class="lineCov">    1768087 :     i = LG_Random15 (seed) + LG_RANDOM15_MAX * i ;</span></a>
+<a name="34"><span class="lineNum">      34 </span><span class="lineCov">    1768087 :     i = LG_Random15 (seed) + LG_RANDOM15_MAX * i ;</span></a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">    1768087 :     i = i % (LG_RANDOM60_MAX + 1) ;</span></a>
+<a name="36"><span class="lineNum">      36 </span><span class="lineCov">    1768087 :     return (i) ;</span></a>
+<a name="37"><span class="lineNum">      37 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_internal.h.func-sort-c.html b/src/utility/LG_internal.h.func-sort-c.html
new file mode 100644
index 0000000000..39ee063e5a
--- /dev/null
+++ b/src/utility/LG_internal.h.func-sort-c.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_internal.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_internal.h<span style="font-size: 80%;"> (<a href="LG_internal.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_internal.h.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_internal.h.gcov.html#378">LG_eslice</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_internal.h.gcov.html#277">LG_Multiply_size_t</a></td>
+              <td class="coverFnHi">29649</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_internal.h.func.html b/src/utility/LG_internal.h.func.html
new file mode 100644
index 0000000000..83d71bc168
--- /dev/null
+++ b/src/utility/LG_internal.h.func.html
@@ -0,0 +1,80 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_internal.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_internal.h<span style="font-size: 80%;"> (<a href="LG_internal.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_internal.h.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_internal.h.gcov.html#277">LG_Multiply_size_t</a></td>
+              <td class="coverFnHi">29649</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_internal.h.gcov.html#378">LG_eslice</a></td>
+              <td class="coverFnHi">12</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_internal.h.gcov.html b/src/utility/LG_internal.h.gcov.html
new file mode 100644
index 0000000000..6a8ce4b622
--- /dev/null
+++ b/src/utility/LG_internal.h.gcov.html
@@ -0,0 +1,698 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_internal.h</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_internal.h<span style="font-size: 80%;"> (source / <a href="LG_internal.h.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntry">16</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntry">2</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_internal.h: include file for use within LAGraph itself</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // These definitions are not meant for the user application that relies on</a>
+<a name="19"><span class="lineNum">      19 </span>            : // LAGraph and/or GraphBLAS.  LG_* methods are for internal use in LAGraph.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #ifndef LG_INTERNAL_H</a>
+<a name="22"><span class="lineNum">      22 </span>            : #define LG_INTERNAL_H</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // include files</a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : #include &lt;ctype.h&gt;</a>
+<a name="29"><span class="lineNum">      29 </span>            : #include &quot;LAGraph.h&quot;</a>
+<a name="30"><span class="lineNum">      30 </span>            : #undef I</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : #if defined ( __linux__ )</a>
+<a name="33"><span class="lineNum">      33 </span>            : #include &lt;malloc.h&gt;</a>
+<a name="34"><span class="lineNum">      34 </span>            : #endif</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : #define LG_RESTRICT LAGRAPH_RESTRICT</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : //------------------------------------------------------------------------------</a>
+<a name="39"><span class="lineNum">      39 </span>            : // string macros</a>
+<a name="40"><span class="lineNum">      40 </span>            : //------------------------------------------------------------------------------</a>
+<a name="41"><span class="lineNum">      41 </span>            : </a>
+<a name="42"><span class="lineNum">      42 </span>            : #define LG_XSTR(x) LG_STR(x)</a>
+<a name="43"><span class="lineNum">      43 </span>            : #define LG_STR(x) #x</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : //------------------------------------------------------------------------------</a>
+<a name="46"><span class="lineNum">      46 </span>            : // string matching</a>
+<a name="47"><span class="lineNum">      47 </span>            : //------------------------------------------------------------------------------</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #define MATCH(s1,s2,n) (strncmp (s1, s2, n) == 0)</a>
+<a name="50"><span class="lineNum">      50 </span>            : #define MATCHNAME(s1,s2) MATCH (s1, s2, LAGRAPH_MAX_NAME_LEN)</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : //------------------------------------------------------------------------------</a>
+<a name="53"><span class="lineNum">      53 </span>            : // typedefs</a>
+<a name="54"><span class="lineNum">      54 </span>            : //------------------------------------------------------------------------------</a>
+<a name="55"><span class="lineNum">      55 </span>            : </a>
+<a name="56"><span class="lineNum">      56 </span>            : // LG_void: used in place of (void *), but valid for pointer arithmetic</a>
+<a name="57"><span class="lineNum">      57 </span>            : typedef unsigned char LG_void ;</a>
+<a name="58"><span class="lineNum">      58 </span>            : </a>
+<a name="59"><span class="lineNum">      59 </span>            : //------------------------------------------------------------------------------</a>
+<a name="60"><span class="lineNum">      60 </span>            : // LG_CLEAR_MSG: clear the error msg string</a>
+<a name="61"><span class="lineNum">      61 </span>            : //------------------------------------------------------------------------------</a>
+<a name="62"><span class="lineNum">      62 </span>            : </a>
+<a name="63"><span class="lineNum">      63 </span>            : // When an LAGraph method starts, it first clears the caller's msg string.</a>
+<a name="64"><span class="lineNum">      64 </span>            : #define LG_CLEAR_MSG                    \</a>
+<a name="65"><span class="lineNum">      65 </span>            : {                                       \</a>
+<a name="66"><span class="lineNum">      66 </span>            :     if (msg != NULL) msg [0] = '\0' ;   \</a>
+<a name="67"><span class="lineNum">      67 </span>            : }</a>
+<a name="68"><span class="lineNum">      68 </span>            : </a>
+<a name="69"><span class="lineNum">      69 </span>            : //------------------------------------------------------------------------------</a>
+<a name="70"><span class="lineNum">      70 </span>            : // LG_ERROR_MSG: set the error msg string</a>
+<a name="71"><span class="lineNum">      71 </span>            : //------------------------------------------------------------------------------</a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            : // When an LAGraph method encounters an error, it can report details in the</a>
+<a name="74"><span class="lineNum">      74 </span>            : // msg.  This is normally done via LG_ASSERT_MSG.  For example:</a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            : /*</a>
+<a name="77"><span class="lineNum">      77 </span>            :     if (src &lt; 0 || src &gt;= n)</a>
+<a name="78"><span class="lineNum">      78 </span>            :     {</a>
+<a name="79"><span class="lineNum">      79 </span>            :         LG_ERROR_MSG (&quot;Source node %ld must be in range 0 to n-1, &quot;</a>
+<a name="80"><span class="lineNum">      80 </span>            :             &quot;where n = %ld is the number of nodes in the graph.&quot;, src, n) ;</a>
+<a name="81"><span class="lineNum">      81 </span>            :         return (GrB_INVALID_INDEX) ;</a>
+<a name="82"><span class="lineNum">      82 </span>            :     }</a>
+<a name="83"><span class="lineNum">      83 </span>            :     // or, with a simpler message:</a>
+<a name="84"><span class="lineNum">      84 </span>            :     LG_ASSERT_MSG (src &gt;= 0 &amp;&amp; src &lt; n, GrB_INVALID_INDEX, &quot;invalid src node&quot;) ;</a>
+<a name="85"><span class="lineNum">      85 </span>            : */</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            : #define LG_ERROR_MSG(...)                                           \</a>
+<a name="88"><span class="lineNum">      88 </span>            : {                                                                   \</a>
+<a name="89"><span class="lineNum">      89 </span>            :     if (msg != NULL &amp;&amp; msg [0] == '\0')                             \</a>
+<a name="90"><span class="lineNum">      90 </span>            :     {                                                               \</a>
+<a name="91"><span class="lineNum">      91 </span>            :         snprintf (msg, LAGRAPH_MSG_LEN, __VA_ARGS__) ;              \</a>
+<a name="92"><span class="lineNum">      92 </span>            :     }                                                               \</a>
+<a name="93"><span class="lineNum">      93 </span>            : }</a>
+<a name="94"><span class="lineNum">      94 </span>            : </a>
+<a name="95"><span class="lineNum">      95 </span>            : //------------------------------------------------------------------------------</a>
+<a name="96"><span class="lineNum">      96 </span>            : // LG_FREE_WORK: free all workspace</a>
+<a name="97"><span class="lineNum">      97 </span>            : //------------------------------------------------------------------------------</a>
+<a name="98"><span class="lineNum">      98 </span>            : </a>
+<a name="99"><span class="lineNum">      99 </span>            : #ifndef LG_FREE_WORK</a>
+<a name="100"><span class="lineNum">     100 </span>            : #define LG_FREE_WORK ;</a>
+<a name="101"><span class="lineNum">     101 </span>            : #endif</a>
+<a name="102"><span class="lineNum">     102 </span>            : </a>
+<a name="103"><span class="lineNum">     103 </span>            : //------------------------------------------------------------------------------</a>
+<a name="104"><span class="lineNum">     104 </span>            : // LG_FREE_ALL: free all workspace and all output arguments, on error</a>
+<a name="105"><span class="lineNum">     105 </span>            : //------------------------------------------------------------------------------</a>
+<a name="106"><span class="lineNum">     106 </span>            : </a>
+<a name="107"><span class="lineNum">     107 </span>            : #ifndef LG_FREE_ALL</a>
+<a name="108"><span class="lineNum">     108 </span>            : #define LG_FREE_ALL             \</a>
+<a name="109"><span class="lineNum">     109 </span>            : {                               \</a>
+<a name="110"><span class="lineNum">     110 </span>            :     LG_FREE_WORK ;              \</a>
+<a name="111"><span class="lineNum">     111 </span>            : }</a>
+<a name="112"><span class="lineNum">     112 </span>            : #endif</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            : //------------------------------------------------------------------------------</a>
+<a name="115"><span class="lineNum">     115 </span>            : // GRB_CATCH: catch an error from GraphBLAS</a>
+<a name="116"><span class="lineNum">     116 </span>            : //------------------------------------------------------------------------------</a>
+<a name="117"><span class="lineNum">     117 </span>            : </a>
+<a name="118"><span class="lineNum">     118 </span>            : // A simple GRB_CATCH macro to be used by GRB_TRY.  If an LAGraph function</a>
+<a name="119"><span class="lineNum">     119 </span>            : // wants something else, then #define a GRB_CATCH macro before the #include</a>
+<a name="120"><span class="lineNum">     120 </span>            : // &quot;LG_internal.h&quot; statement.</a>
+<a name="121"><span class="lineNum">     121 </span>            : </a>
+<a name="122"><span class="lineNum">     122 </span>            : #ifndef GRB_CATCH</a>
+<a name="123"><span class="lineNum">     123 </span>            : #define GRB_CATCH(info)                                                 \</a>
+<a name="124"><span class="lineNum">     124 </span>            : {                                                                       \</a>
+<a name="125"><span class="lineNum">     125 </span>            :     LG_ERROR_MSG (&quot;GraphBLAS failure (file %s, line %d): info: %d&quot;,     \</a>
+<a name="126"><span class="lineNum">     126 </span>            :         __FILE__, __LINE__, info) ;                                     \</a>
+<a name="127"><span class="lineNum">     127 </span>            :     LG_FREE_ALL ;                                                       \</a>
+<a name="128"><span class="lineNum">     128 </span>            :     return (info) ;                                                     \</a>
+<a name="129"><span class="lineNum">     129 </span>            : }</a>
+<a name="130"><span class="lineNum">     130 </span>            : #endif</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            : //------------------------------------------------------------------------------</a>
+<a name="133"><span class="lineNum">     133 </span>            : // LAGRAPH_CATCH: catch an error from LAGraph</a>
+<a name="134"><span class="lineNum">     134 </span>            : //------------------------------------------------------------------------------</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span>            : // A simple LAGRAPH_CATCH macro to be used by LAGRAPH_TRY.  If an LAGraph</a>
+<a name="137"><span class="lineNum">     137 </span>            : // function wants something else, then #define a LAGRAPH_CATCH macro before the</a>
+<a name="138"><span class="lineNum">     138 </span>            : // #include &quot;LG_internal.h&quot; statement.</a>
+<a name="139"><span class="lineNum">     139 </span>            : </a>
+<a name="140"><span class="lineNum">     140 </span>            : #ifndef LAGRAPH_CATCH</a>
+<a name="141"><span class="lineNum">     141 </span>            : #define LAGRAPH_CATCH(status)                                           \</a>
+<a name="142"><span class="lineNum">     142 </span>            : {                                                                       \</a>
+<a name="143"><span class="lineNum">     143 </span>            :     LG_ERROR_MSG (&quot;LAGraph failure (file %s, line %d): status: %d&quot;,     \</a>
+<a name="144"><span class="lineNum">     144 </span>            :         __FILE__, __LINE__, status) ;                                   \</a>
+<a name="145"><span class="lineNum">     145 </span>            :     LG_FREE_ALL ;                                                       \</a>
+<a name="146"><span class="lineNum">     146 </span>            :     return (status) ;                                                   \</a>
+<a name="147"><span class="lineNum">     147 </span>            : }</a>
+<a name="148"><span class="lineNum">     148 </span>            : #endif</a>
+<a name="149"><span class="lineNum">     149 </span>            : </a>
+<a name="150"><span class="lineNum">     150 </span>            : //------------------------------------------------------------------------------</a>
+<a name="151"><span class="lineNum">     151 </span>            : // LG_ASSERT_MSGF: assert an expression is true, and return if it is false</a>
+<a name="152"><span class="lineNum">     152 </span>            : //------------------------------------------------------------------------------</a>
+<a name="153"><span class="lineNum">     153 </span>            : </a>
+<a name="154"><span class="lineNum">     154 </span>            : // Identical to LG_ASSERT_MSG, except this allows a printf-style formatted</a>
+<a name="155"><span class="lineNum">     155 </span>            : // message.</a>
+<a name="156"><span class="lineNum">     156 </span>            : </a>
+<a name="157"><span class="lineNum">     157 </span>            : #define LG_ASSERT_MSGF(expression,error_status,expression_format,...)   \</a>
+<a name="158"><span class="lineNum">     158 </span>            : {                                                                       \</a>
+<a name="159"><span class="lineNum">     159 </span>            :     if (!(expression))                                                  \</a>
+<a name="160"><span class="lineNum">     160 </span>            :     {                                                                   \</a>
+<a name="161"><span class="lineNum">     161 </span>            :         LG_ERROR_MSG (&quot;LAGraph failure (file %s, line %d): &quot;            \</a>
+<a name="162"><span class="lineNum">     162 </span>            :             expression_format, __FILE__, __LINE__, __VA_ARGS__) ;       \</a>
+<a name="163"><span class="lineNum">     163 </span>            :         LG_FREE_ALL ;                                                   \</a>
+<a name="164"><span class="lineNum">     164 </span>            :         return (error_status) ;                                         \</a>
+<a name="165"><span class="lineNum">     165 </span>            :     }                                                                   \</a>
+<a name="166"><span class="lineNum">     166 </span>            : }</a>
+<a name="167"><span class="lineNum">     167 </span>            : </a>
+<a name="168"><span class="lineNum">     168 </span>            : //------------------------------------------------------------------------------</a>
+<a name="169"><span class="lineNum">     169 </span>            : // LG_ASSERT_MSG: assert an expression is true, and return if it is false</a>
+<a name="170"><span class="lineNum">     170 </span>            : //------------------------------------------------------------------------------</a>
+<a name="171"><span class="lineNum">     171 </span>            : </a>
+<a name="172"><span class="lineNum">     172 </span>            : // Identical to LG_ASSERT, except this allows a different string to be</a>
+<a name="173"><span class="lineNum">     173 </span>            : // included in the message.</a>
+<a name="174"><span class="lineNum">     174 </span>            : </a>
+<a name="175"><span class="lineNum">     175 </span>            : #define LG_ASSERT_MSG(expression,error_status,expression_message)       \</a>
+<a name="176"><span class="lineNum">     176 </span>            :     LG_ASSERT_MSGF (expression,error_status,&quot;%s&quot;,expression_message)</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span>            : //------------------------------------------------------------------------------</a>
+<a name="179"><span class="lineNum">     179 </span>            : // LG_ASSERT: assert an expression is true, and return if it is false</a>
+<a name="180"><span class="lineNum">     180 </span>            : //------------------------------------------------------------------------------</a>
+<a name="181"><span class="lineNum">     181 </span>            : </a>
+<a name="182"><span class="lineNum">     182 </span>            : // LAGraph methods can use this assertion macro for simple errors.</a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            : #define LG_ASSERT(expression, error_status)                                 \</a>
+<a name="185"><span class="lineNum">     185 </span>            : {                                                                           \</a>
+<a name="186"><span class="lineNum">     186 </span>            :     if (!(expression))                                                      \</a>
+<a name="187"><span class="lineNum">     187 </span>            :     {                                                                       \</a>
+<a name="188"><span class="lineNum">     188 </span>            :         LG_ERROR_MSG (&quot;LAGraph assertion \&quot;%s\&quot; failed (file %s, line %d):&quot; \</a>
+<a name="189"><span class="lineNum">     189 </span>            :             &quot; status: %d&quot;, LG_XSTR(expression), __FILE__, __LINE__,         \</a>
+<a name="190"><span class="lineNum">     190 </span>            :             error_status) ;                                                 \</a>
+<a name="191"><span class="lineNum">     191 </span>            :         LG_FREE_ALL ;                                                       \</a>
+<a name="192"><span class="lineNum">     192 </span>            :         return (error_status) ;                                             \</a>
+<a name="193"><span class="lineNum">     193 </span>            :     }                                                                       \</a>
+<a name="194"><span class="lineNum">     194 </span>            : }</a>
+<a name="195"><span class="lineNum">     195 </span>            : </a>
+<a name="196"><span class="lineNum">     196 </span>            : //------------------------------------------------------------------------------</a>
+<a name="197"><span class="lineNum">     197 </span>            : // LG_TRY: check a condition and return on error</a>
+<a name="198"><span class="lineNum">     198 </span>            : //------------------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            : </a>
+<a name="200"><span class="lineNum">     200 </span>            : // The msg is not modified.  This should be used when an LAGraph method calls</a>
+<a name="201"><span class="lineNum">     201 </span>            : // another one.</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            : #define LG_TRY(LAGraph_method)                  \</a>
+<a name="204"><span class="lineNum">     204 </span>            : {                                               \</a>
+<a name="205"><span class="lineNum">     205 </span>            :     int LAGraph_status = LAGraph_method ;       \</a>
+<a name="206"><span class="lineNum">     206 </span>            :     if (LAGraph_status &lt; 0)                     \</a>
+<a name="207"><span class="lineNum">     207 </span>            :     {                                           \</a>
+<a name="208"><span class="lineNum">     208 </span>            :         LG_FREE_ALL ;                           \</a>
+<a name="209"><span class="lineNum">     209 </span>            :         return (LAGraph_status) ;               \</a>
+<a name="210"><span class="lineNum">     210 </span>            :     }                                           \</a>
+<a name="211"><span class="lineNum">     211 </span>            : }</a>
+<a name="212"><span class="lineNum">     212 </span>            : </a>
+<a name="213"><span class="lineNum">     213 </span>            : //------------------------------------------------------------------------------</a>
+<a name="214"><span class="lineNum">     214 </span>            : // LG_CLEAR_MSG_AND_BASIC_ASSERT: clear msg and do basic tests of a graph</a>
+<a name="215"><span class="lineNum">     215 </span>            : //------------------------------------------------------------------------------</a>
+<a name="216"><span class="lineNum">     216 </span>            : </a>
+<a name="217"><span class="lineNum">     217 </span>            : #define LG_CLEAR_MSG_AND_BASIC_ASSERT(G,msg)                                \</a>
+<a name="218"><span class="lineNum">     218 </span>            : {                                                                           \</a>
+<a name="219"><span class="lineNum">     219 </span>            :     LG_CLEAR_MSG ;                                                          \</a>
+<a name="220"><span class="lineNum">     220 </span>            :     LG_ASSERT (G != NULL, GrB_NULL_POINTER) ;                               \</a>
+<a name="221"><span class="lineNum">     221 </span>            :     LG_ASSERT_MSG (G-&gt;A != NULL, LAGRAPH_INVALID_GRAPH,                     \</a>
+<a name="222"><span class="lineNum">     222 </span>            :         &quot;graph adjacency matrix is NULL&quot;) ;                                 \</a>
+<a name="223"><span class="lineNum">     223 </span>            :     LG_ASSERT_MSG (G-&gt;kind &gt;= LAGraph_ADJACENCY_UNDIRECTED &amp;&amp;               \</a>
+<a name="224"><span class="lineNum">     224 </span>            :         G-&gt;kind &lt;= LAGraph_ADJACENCY_DIRECTED,                              \</a>
+<a name="225"><span class="lineNum">     225 </span>            :         LAGRAPH_INVALID_GRAPH, &quot;graph kind invalid&quot;) ;                      \</a>
+<a name="226"><span class="lineNum">     226 </span>            : }</a>
+<a name="227"><span class="lineNum">     227 </span>            : </a>
+<a name="228"><span class="lineNum">     228 </span>            : //------------------------------------------------------------------------------</a>
+<a name="229"><span class="lineNum">     229 </span>            : // FPRINTF: fprintf and check result</a>
+<a name="230"><span class="lineNum">     230 </span>            : //------------------------------------------------------------------------------</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            : #define FPRINTF(f,...)                                                      \</a>
+<a name="233"><span class="lineNum">     233 </span>            : {                                                                           \</a>
+<a name="234"><span class="lineNum">     234 </span>            :     LG_ASSERT_MSG (fprintf (f, __VA_ARGS__) &gt;= 0,                           \</a>
+<a name="235"><span class="lineNum">     235 </span>            :         LAGRAPH_IO_ERROR, &quot;Unable to write to file&quot;) ;                      \</a>
+<a name="236"><span class="lineNum">     236 </span>            : }</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            : //------------------------------------------------------------------------------</a>
+<a name="239"><span class="lineNum">     239 </span>            : // code development settings</a>
+<a name="240"><span class="lineNum">     240 </span>            : //------------------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            : // turn off debugging; do not edit these three lines</a>
+<a name="243"><span class="lineNum">     243 </span>            : #ifndef NDEBUG</a>
+<a name="244"><span class="lineNum">     244 </span>            : #define NDEBUG</a>
+<a name="245"><span class="lineNum">     245 </span>            : #endif</a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span>            : // These flags are used for code development.  Uncomment them as needed.</a>
+<a name="248"><span class="lineNum">     248 </span>            : </a>
+<a name="249"><span class="lineNum">     249 </span>            : // to turn on debugging, uncomment this line:</a>
+<a name="250"><span class="lineNum">     250 </span>            : // #undef NDEBUG</a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            : #undef ASSERT</a>
+<a name="253"><span class="lineNum">     253 </span>            : </a>
+<a name="254"><span class="lineNum">     254 </span>            : #ifndef NDEBUG</a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            :     // debugging enabled</a>
+<a name="257"><span class="lineNum">     257 </span>            :     #ifdef MATLAB_MEX_FILE</a>
+<a name="258"><span class="lineNum">     258 </span>            :         // debugging when LAGraph is part of a mexFunction</a>
+<a name="259"><span class="lineNum">     259 </span>            :         #define ASSERT(x)                                               \</a>
+<a name="260"><span class="lineNum">     260 </span>            :         {                                                               \</a>
+<a name="261"><span class="lineNum">     261 </span>            :             if (!(x)) mexErrMsgTxt (&quot;failure: &quot; __FILE__ &quot; line: &quot;) ;   \</a>
+<a name="262"><span class="lineNum">     262 </span>            :         }</a>
+<a name="263"><span class="lineNum">     263 </span>            :     #else</a>
+<a name="264"><span class="lineNum">     264 </span>            :         #include &lt;assert.h&gt;</a>
+<a name="265"><span class="lineNum">     265 </span>            :         #define ASSERT(x) assert (x) ;</a>
+<a name="266"><span class="lineNum">     266 </span>            :     #endif</a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            : #else</a>
+<a name="269"><span class="lineNum">     269 </span>            : </a>
+<a name="270"><span class="lineNum">     270 </span>            :     // debugging disabled</a>
+<a name="271"><span class="lineNum">     271 </span>            :     #define ASSERT(x)</a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span>            : #endif</a>
+<a name="274"><span class="lineNum">     274 </span>            : </a>
+<a name="275"><span class="lineNum">     275 </span>            : //------------------------------------------------------------------------------</a>
+<a name="276"><span class="lineNum">     276 </span>            : // LG_Multiply_size_t:  c = a*b but check for overflow</a>
+<a name="277"><span class="lineNum">     277 </span>            : //------------------------------------------------------------------------------</a>
+<a name="278"><span class="lineNum">     278 </span>            : </a>
+<a name="279"><span class="lineNum">     279 </span><span class="lineCov">      29649 : static bool LG_Multiply_size_t  // true if ok, false if overflow</span></a>
+<a name="280"><span class="lineNum">     280 </span>            : (</a>
+<a name="281"><span class="lineNum">     281 </span>            :     size_t *c,                  // c = a*b, or zero if overflow occurs</a>
+<a name="282"><span class="lineNum">     282 </span>            :     const size_t a,</a>
+<a name="283"><span class="lineNum">     283 </span>            :     const size_t b</a>
+<a name="284"><span class="lineNum">     284 </span>            : )</a>
+<a name="285"><span class="lineNum">     285 </span>            : {</a>
+<a name="286"><span class="lineNum">     286 </span>            : </a>
+<a name="287"><span class="lineNum">     287 </span>            :     ASSERT (c != NULL) ;</a>
+<a name="288"><span class="lineNum">     288 </span>            : </a>
+<a name="289"><span class="lineNum">     289 </span><span class="lineCov">      29649 :     (*c) = 0 ;</span></a>
+<a name="290"><span class="lineNum">     290 </span><span class="lineCov">      29649 :     if (a == 0 || b == 0)</span></a>
+<a name="291"><span class="lineNum">     291 </span>            :     {</a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">          1 :         return (true) ;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            :     }</a>
+<a name="294"><span class="lineNum">     294 </span>            : </a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">      29648 :     if (a &gt; SIZE_MAX / 2 || b &gt; SIZE_MAX / 2)</span></a>
+<a name="296"><span class="lineNum">     296 </span>            :     {</a>
+<a name="297"><span class="lineNum">     297 </span>            :         // a or b are out of range</a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">          4 :         return (false) ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :     }</a>
+<a name="300"><span class="lineNum">     300 </span>            : </a>
+<a name="301"><span class="lineNum">     301 </span>            :     // a + b is now safe to compute</a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">      29644 :     if ((a + b) &gt; (SIZE_MAX / LAGRAPH_MIN (a,b)))</span></a>
+<a name="303"><span class="lineNum">     303 </span>            :     {</a>
+<a name="304"><span class="lineNum">     304 </span>            :         // a * b may overflow</a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">          1 :         return (false) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span>            :     }</a>
+<a name="307"><span class="lineNum">     307 </span>            : </a>
+<a name="308"><span class="lineNum">     308 </span>            :     // a * b will not overflow</a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">      29643 :     (*c) = a * b ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">      29643 :     return (true) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            : }</a>
+<a name="312"><span class="lineNum">     312 </span>            : </a>
+<a name="313"><span class="lineNum">     313 </span>            : //------------------------------------------------------------------------------</a>
+<a name="314"><span class="lineNum">     314 </span>            : // Matrix Market format</a>
+<a name="315"><span class="lineNum">     315 </span>            : //------------------------------------------------------------------------------</a>
+<a name="316"><span class="lineNum">     316 </span>            : </a>
+<a name="317"><span class="lineNum">     317 </span>            : // %%MatrixMarket matrix &lt;fmt&gt; &lt;type&gt; &lt;storage&gt; uses the following enums:</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span>            : typedef enum</a>
+<a name="320"><span class="lineNum">     320 </span>            : {</a>
+<a name="321"><span class="lineNum">     321 </span>            :     MM_coordinate,</a>
+<a name="322"><span class="lineNum">     322 </span>            :     MM_array,</a>
+<a name="323"><span class="lineNum">     323 </span>            : }</a>
+<a name="324"><span class="lineNum">     324 </span>            : MM_fmt_enum ;</a>
+<a name="325"><span class="lineNum">     325 </span>            : </a>
+<a name="326"><span class="lineNum">     326 </span>            : typedef enum</a>
+<a name="327"><span class="lineNum">     327 </span>            : {</a>
+<a name="328"><span class="lineNum">     328 </span>            :     MM_real,</a>
+<a name="329"><span class="lineNum">     329 </span>            :     MM_integer,</a>
+<a name="330"><span class="lineNum">     330 </span>            :     MM_complex,</a>
+<a name="331"><span class="lineNum">     331 </span>            :     MM_pattern</a>
+<a name="332"><span class="lineNum">     332 </span>            : }</a>
+<a name="333"><span class="lineNum">     333 </span>            : MM_type_enum ;</a>
+<a name="334"><span class="lineNum">     334 </span>            : </a>
+<a name="335"><span class="lineNum">     335 </span>            : typedef enum</a>
+<a name="336"><span class="lineNum">     336 </span>            : {</a>
+<a name="337"><span class="lineNum">     337 </span>            :     MM_general,</a>
+<a name="338"><span class="lineNum">     338 </span>            :     MM_symmetric,</a>
+<a name="339"><span class="lineNum">     339 </span>            :     MM_skew_symmetric,</a>
+<a name="340"><span class="lineNum">     340 </span>            :     MM_hermitian</a>
+<a name="341"><span class="lineNum">     341 </span>            : }</a>
+<a name="342"><span class="lineNum">     342 </span>            : MM_storage_enum ;</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span>            : // maximum length of each line in the Matrix Market file format</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span>            : // The MatrixMarket format specificies a maximum line length of 1024.</a>
+<a name="347"><span class="lineNum">     347 </span>            : // This is currently sufficient for GraphBLAS but will need to be relaxed</a>
+<a name="348"><span class="lineNum">     348 </span>            : // if this function is extended to handle arbitrary user-defined types.</a>
+<a name="349"><span class="lineNum">     349 </span>            : #define MMLEN 1024</a>
+<a name="350"><span class="lineNum">     350 </span>            : #define MAXLINE MMLEN+6</a>
+<a name="351"><span class="lineNum">     351 </span>            : </a>
+<a name="352"><span class="lineNum">     352 </span>            : //------------------------------------------------------------------------------</a>
+<a name="353"><span class="lineNum">     353 </span>            : // LG_PART and LG_PARTITION: definitions for partitioning an index range</a>
+<a name="354"><span class="lineNum">     354 </span>            : //------------------------------------------------------------------------------</a>
+<a name="355"><span class="lineNum">     355 </span>            : </a>
+<a name="356"><span class="lineNum">     356 </span>            : LAGRAPH_PUBLIC extern</a>
+<a name="357"><span class="lineNum">     357 </span>            : int LG_nthreads_outer ; // # of threads to use at the higher level of a nested</a>
+<a name="358"><span class="lineNum">     358 </span>            :                         // parallel region in LAGraph.  Default: 1.</a>
+<a name="359"><span class="lineNum">     359 </span>            : </a>
+<a name="360"><span class="lineNum">     360 </span>            : LAGRAPH_PUBLIC extern</a>
+<a name="361"><span class="lineNum">     361 </span>            : int LG_nthreads_inner ; // # of threads to use at the lower level of a nested</a>
+<a name="362"><span class="lineNum">     362 </span>            :                         // parallel region, or to use inside GraphBLAS.</a>
+<a name="363"><span class="lineNum">     363 </span>            :                         // Default: the value obtained by omp_get_max_threads</a>
+<a name="364"><span class="lineNum">     364 </span>            :                         // if OpenMP is in use, or 1 otherwise.</a>
+<a name="365"><span class="lineNum">     365 </span>            : </a>
+<a name="366"><span class="lineNum">     366 </span>            : // LG_PART and LG_PARTITION:  divide the index range 0:n-1 uniformly</a>
+<a name="367"><span class="lineNum">     367 </span>            : // for nthreads.  LG_PART(tid,n,nthreads) is the first index for thread tid.</a>
+<a name="368"><span class="lineNum">     368 </span>            : #define LG_PART(tid,n,nthreads)  \</a>
+<a name="369"><span class="lineNum">     369 </span>            :     (((tid) * ((double) (n))) / ((double) (nthreads)))</a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span>            : // thread tid will operate on the range k1:(k2-1)</a>
+<a name="372"><span class="lineNum">     372 </span>            : #define LG_PARTITION(k1,k2,n,tid,nthreads)                                  \</a>
+<a name="373"><span class="lineNum">     373 </span>            :     k1 = ((tid) ==  0          ) ?  0  : LG_PART ((tid),  n, nthreads) ;    \</a>
+<a name="374"><span class="lineNum">     374 </span>            :     k2 = ((tid) == (nthreads)-1) ? (n) : LG_PART ((tid)+1,n, nthreads)</a>
+<a name="375"><span class="lineNum">     375 </span>            : </a>
+<a name="376"><span class="lineNum">     376 </span>            : //------------------------------------------------------------------------------</a>
+<a name="377"><span class="lineNum">     377 </span>            : // LG_eslice: uniform partition of e items to each task</a>
+<a name="378"><span class="lineNum">     378 </span>            : //------------------------------------------------------------------------------</a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">         12 : static inline void LG_eslice</span></a>
+<a name="381"><span class="lineNum">     381 </span>            : (</a>
+<a name="382"><span class="lineNum">     382 </span>            :     int64_t *Slice,         // array of size ntasks+1</a>
+<a name="383"><span class="lineNum">     383 </span>            :     int64_t e,              // number items to partition amongst the tasks</a>
+<a name="384"><span class="lineNum">     384 </span>            :     const int ntasks        // # of tasks</a>
+<a name="385"><span class="lineNum">     385 </span>            : )</a>
+<a name="386"><span class="lineNum">     386 </span>            : {</a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">         12 :     Slice [0] = 0 ;</span></a>
+<a name="388"><span class="lineNum">     388 </span><span class="lineCov">        204 :     for (int tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="389"><span class="lineNum">     389 </span>            :     {</a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">        192 :         Slice [tid] = LG_PART (tid, e, ntasks) ;</span></a>
+<a name="391"><span class="lineNum">     391 </span>            :     }</a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">         12 :     Slice [ntasks] = e ;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">         12 : }</span></a>
+<a name="394"><span class="lineNum">     394 </span>            : </a>
+<a name="395"><span class="lineNum">     395 </span>            : //------------------------------------------------------------------------------</a>
+<a name="396"><span class="lineNum">     396 </span>            : // definitions for sorting functions</a>
+<a name="397"><span class="lineNum">     397 </span>            : //------------------------------------------------------------------------------</a>
+<a name="398"><span class="lineNum">     398 </span>            : </a>
+<a name="399"><span class="lineNum">     399 </span>            : // All of the LG_qsort_* functions are single-threaded, by design.  The</a>
+<a name="400"><span class="lineNum">     400 </span>            : // LG_msort* functions are parallel.  None of these sorting methods are</a>
+<a name="401"><span class="lineNum">     401 </span>            : // guaranteed to be stable.  These functions are contributed by Tim Davis, and</a>
+<a name="402"><span class="lineNum">     402 </span>            : // are derived from SuiteSparse:GraphBLAS.  Functions named LG_* are not</a>
+<a name="403"><span class="lineNum">     403 </span>            : // meant to be accessible by end users of LAGraph.</a>
+<a name="404"><span class="lineNum">     404 </span>            : </a>
+<a name="405"><span class="lineNum">     405 </span>            : #define LG_BASECASE (64 * 1024)</a>
+<a name="406"><span class="lineNum">     406 </span>            : </a>
+<a name="407"><span class="lineNum">     407 </span>            : //------------------------------------------------------------------------------</a>
+<a name="408"><span class="lineNum">     408 </span>            : // LG_msort1: sort array of size n</a>
+<a name="409"><span class="lineNum">     409 </span>            : //------------------------------------------------------------------------------</a>
+<a name="410"><span class="lineNum">     410 </span>            : </a>
+<a name="411"><span class="lineNum">     411 </span>            : // LG_msort1 sorts an int64_t array of size n in ascending order.</a>
+<a name="412"><span class="lineNum">     412 </span>            : </a>
+<a name="413"><span class="lineNum">     413 </span>            : int LG_msort1</a>
+<a name="414"><span class="lineNum">     414 </span>            : (</a>
+<a name="415"><span class="lineNum">     415 </span>            :     // input/output:</a>
+<a name="416"><span class="lineNum">     416 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="417"><span class="lineNum">     417 </span>            :     // input:</a>
+<a name="418"><span class="lineNum">     418 </span>            :     const int64_t n,</a>
+<a name="419"><span class="lineNum">     419 </span>            :     char *msg</a>
+<a name="420"><span class="lineNum">     420 </span>            : ) ;</a>
+<a name="421"><span class="lineNum">     421 </span>            : </a>
+<a name="422"><span class="lineNum">     422 </span>            : //------------------------------------------------------------------------------</a>
+<a name="423"><span class="lineNum">     423 </span>            : // LG_msort2: sort two arrays of size n</a>
+<a name="424"><span class="lineNum">     424 </span>            : //------------------------------------------------------------------------------</a>
+<a name="425"><span class="lineNum">     425 </span>            : </a>
+<a name="426"><span class="lineNum">     426 </span>            : // LG_msort2 sorts two int64_t arrays A of size n in ascending order.</a>
+<a name="427"><span class="lineNum">     427 </span>            : // The arrays are kept in the same order, where the pair (A_0 [k], A_1 [k]) is</a>
+<a name="428"><span class="lineNum">     428 </span>            : // treated as a single pair.  The pairs are sorted by the first value A_0,</a>
+<a name="429"><span class="lineNum">     429 </span>            : // with ties broken by A_1.</a>
+<a name="430"><span class="lineNum">     430 </span>            : </a>
+<a name="431"><span class="lineNum">     431 </span>            : int LG_msort2</a>
+<a name="432"><span class="lineNum">     432 </span>            : (</a>
+<a name="433"><span class="lineNum">     433 </span>            :     // input/output:</a>
+<a name="434"><span class="lineNum">     434 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="435"><span class="lineNum">     435 </span>            :     int64_t *A_1,       // size n array</a>
+<a name="436"><span class="lineNum">     436 </span>            :     // input:</a>
+<a name="437"><span class="lineNum">     437 </span>            :     const int64_t n,</a>
+<a name="438"><span class="lineNum">     438 </span>            :     char *msg</a>
+<a name="439"><span class="lineNum">     439 </span>            : ) ;</a>
+<a name="440"><span class="lineNum">     440 </span>            : </a>
+<a name="441"><span class="lineNum">     441 </span>            : //------------------------------------------------------------------------------</a>
+<a name="442"><span class="lineNum">     442 </span>            : // LG_msort3: sort three arrays of size n</a>
+<a name="443"><span class="lineNum">     443 </span>            : //------------------------------------------------------------------------------</a>
+<a name="444"><span class="lineNum">     444 </span>            : </a>
+<a name="445"><span class="lineNum">     445 </span>            : // LG_msort3 sorts three int64_t arrays A of size n in ascending order.</a>
+<a name="446"><span class="lineNum">     446 </span>            : // The arrays are kept in the same order, where the triplet (A_0 [k], A_1 [k],</a>
+<a name="447"><span class="lineNum">     447 </span>            : // A_2 [k]) is treated as a single triplet.  The triplets are sorted by the</a>
+<a name="448"><span class="lineNum">     448 </span>            : // first value A_0, with ties broken by A_1, and then by A_2 if the values of</a>
+<a name="449"><span class="lineNum">     449 </span>            : // A_0 and A_1 are identical.</a>
+<a name="450"><span class="lineNum">     450 </span>            : </a>
+<a name="451"><span class="lineNum">     451 </span>            : int LG_msort3</a>
+<a name="452"><span class="lineNum">     452 </span>            : (</a>
+<a name="453"><span class="lineNum">     453 </span>            :     // input/output:</a>
+<a name="454"><span class="lineNum">     454 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="455"><span class="lineNum">     455 </span>            :     int64_t *A_1,       // size n array</a>
+<a name="456"><span class="lineNum">     456 </span>            :     int64_t *A_2,       // size n array</a>
+<a name="457"><span class="lineNum">     457 </span>            :     // input:</a>
+<a name="458"><span class="lineNum">     458 </span>            :     const int64_t n,</a>
+<a name="459"><span class="lineNum">     459 </span>            :     char *msg</a>
+<a name="460"><span class="lineNum">     460 </span>            : ) ;</a>
+<a name="461"><span class="lineNum">     461 </span>            : </a>
+<a name="462"><span class="lineNum">     462 </span>            : void LG_qsort_1a    // sort array A of size 1-by-n</a>
+<a name="463"><span class="lineNum">     463 </span>            : (</a>
+<a name="464"><span class="lineNum">     464 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="465"><span class="lineNum">     465 </span>            :     const int64_t n</a>
+<a name="466"><span class="lineNum">     466 </span>            : ) ;</a>
+<a name="467"><span class="lineNum">     467 </span>            : </a>
+<a name="468"><span class="lineNum">     468 </span>            : void LG_qsort_2     // sort array A of size 2-by-n, using 2 keys (A [0:1][])</a>
+<a name="469"><span class="lineNum">     469 </span>            : (</a>
+<a name="470"><span class="lineNum">     470 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="471"><span class="lineNum">     471 </span>            :     int64_t *LG_RESTRICT A_1,       // size n array</a>
+<a name="472"><span class="lineNum">     472 </span>            :     const int64_t n</a>
+<a name="473"><span class="lineNum">     473 </span>            : ) ;</a>
+<a name="474"><span class="lineNum">     474 </span>            : </a>
+<a name="475"><span class="lineNum">     475 </span>            : void LG_qsort_3     // sort array A of size 3-by-n, using 3 keys (A [0:2][])</a>
+<a name="476"><span class="lineNum">     476 </span>            : (</a>
+<a name="477"><span class="lineNum">     477 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="478"><span class="lineNum">     478 </span>            :     int64_t *LG_RESTRICT A_1,       // size n array</a>
+<a name="479"><span class="lineNum">     479 </span>            :     int64_t *LG_RESTRICT A_2,       // size n array</a>
+<a name="480"><span class="lineNum">     480 </span>            :     const int64_t n</a>
+<a name="481"><span class="lineNum">     481 </span>            : ) ;</a>
+<a name="482"><span class="lineNum">     482 </span>            : </a>
+<a name="483"><span class="lineNum">     483 </span>            : //------------------------------------------------------------------------------</a>
+<a name="484"><span class="lineNum">     484 </span>            : // LG_lt_1: sorting comparator function, one key</a>
+<a name="485"><span class="lineNum">     485 </span>            : //------------------------------------------------------------------------------</a>
+<a name="486"><span class="lineNum">     486 </span>            : </a>
+<a name="487"><span class="lineNum">     487 </span>            : // A [a] and B [b] are keys of one integer.</a>
+<a name="488"><span class="lineNum">     488 </span>            : </a>
+<a name="489"><span class="lineNum">     489 </span>            : // LG_lt_1 returns true if A [a] &lt; B [b], for LG_qsort_1b</a>
+<a name="490"><span class="lineNum">     490 </span>            : </a>
+<a name="491"><span class="lineNum">     491 </span>            : #define LG_lt_1(A_0, a, B_0, b) (A_0 [a] &lt; B_0 [b])</a>
+<a name="492"><span class="lineNum">     492 </span>            : </a>
+<a name="493"><span class="lineNum">     493 </span>            : //------------------------------------------------------------------------------</a>
+<a name="494"><span class="lineNum">     494 </span>            : // LG_lt_2: sorting comparator function, two keys</a>
+<a name="495"><span class="lineNum">     495 </span>            : //------------------------------------------------------------------------------</a>
+<a name="496"><span class="lineNum">     496 </span>            : </a>
+<a name="497"><span class="lineNum">     497 </span>            : // A [a] and B [b] are keys of two integers.</a>
+<a name="498"><span class="lineNum">     498 </span>            : </a>
+<a name="499"><span class="lineNum">     499 </span>            : // LG_lt_2 returns true if A [a] &lt; B [b], for LG_qsort_2 and LG_msort_2b</a>
+<a name="500"><span class="lineNum">     500 </span>            : </a>
+<a name="501"><span class="lineNum">     501 </span>            : #define LG_lt_2(A_0, A_1, a, B_0, B_1, b)                                   \</a>
+<a name="502"><span class="lineNum">     502 </span>            : (                                                                           \</a>
+<a name="503"><span class="lineNum">     503 </span>            :     (A_0 [a] &lt; B_0 [b]) ?                                                   \</a>
+<a name="504"><span class="lineNum">     504 </span>            :     (                                                                       \</a>
+<a name="505"><span class="lineNum">     505 </span>            :         true                                                                \</a>
+<a name="506"><span class="lineNum">     506 </span>            :     )                                                                       \</a>
+<a name="507"><span class="lineNum">     507 </span>            :     :                                                                       \</a>
+<a name="508"><span class="lineNum">     508 </span>            :     (                                                                       \</a>
+<a name="509"><span class="lineNum">     509 </span>            :         (A_0 [a] == B_0 [b]) ?                                              \</a>
+<a name="510"><span class="lineNum">     510 </span>            :         (                                                                   \</a>
+<a name="511"><span class="lineNum">     511 </span>            :             /* primary key is the same; tie-break on the 2nd key */         \</a>
+<a name="512"><span class="lineNum">     512 </span>            :             (A_1 [a] &lt; B_1 [b])                                             \</a>
+<a name="513"><span class="lineNum">     513 </span>            :         )                                                                   \</a>
+<a name="514"><span class="lineNum">     514 </span>            :         :                                                                   \</a>
+<a name="515"><span class="lineNum">     515 </span>            :         (                                                                   \</a>
+<a name="516"><span class="lineNum">     516 </span>            :             false                                                           \</a>
+<a name="517"><span class="lineNum">     517 </span>            :         )                                                                   \</a>
+<a name="518"><span class="lineNum">     518 </span>            :     )                                                                       \</a>
+<a name="519"><span class="lineNum">     519 </span>            : )</a>
+<a name="520"><span class="lineNum">     520 </span>            : </a>
+<a name="521"><span class="lineNum">     521 </span>            : //------------------------------------------------------------------------------</a>
+<a name="522"><span class="lineNum">     522 </span>            : // LG_lt_3: sorting comparator function, three keys</a>
+<a name="523"><span class="lineNum">     523 </span>            : //------------------------------------------------------------------------------</a>
+<a name="524"><span class="lineNum">     524 </span>            : </a>
+<a name="525"><span class="lineNum">     525 </span>            : // A [a] and B [b] are keys of three integers.</a>
+<a name="526"><span class="lineNum">     526 </span>            : </a>
+<a name="527"><span class="lineNum">     527 </span>            : // LG_lt_3 returns true if A [a] &lt; B [b], for LG_qsort_3 and LG_msort_3b</a>
+<a name="528"><span class="lineNum">     528 </span>            : </a>
+<a name="529"><span class="lineNum">     529 </span>            : #define LG_lt_3(A_0, A_1, A_2, a, B_0, B_1, B_2, b)                         \</a>
+<a name="530"><span class="lineNum">     530 </span>            : (                                                                           \</a>
+<a name="531"><span class="lineNum">     531 </span>            :     (A_0 [a] &lt; B_0 [b]) ?                                                   \</a>
+<a name="532"><span class="lineNum">     532 </span>            :     (                                                                       \</a>
+<a name="533"><span class="lineNum">     533 </span>            :         true                                                                \</a>
+<a name="534"><span class="lineNum">     534 </span>            :     )                                                                       \</a>
+<a name="535"><span class="lineNum">     535 </span>            :     :                                                                       \</a>
+<a name="536"><span class="lineNum">     536 </span>            :     (                                                                       \</a>
+<a name="537"><span class="lineNum">     537 </span>            :         (A_0 [a] == B_0 [b]) ?                                              \</a>
+<a name="538"><span class="lineNum">     538 </span>            :         (                                                                   \</a>
+<a name="539"><span class="lineNum">     539 </span>            :             /* primary key is the same; tie-break on the 2nd and 3rd key */ \</a>
+<a name="540"><span class="lineNum">     540 </span>            :             LG_lt_2 (A_1, A_2, a, B_1, B_2, b)                              \</a>
+<a name="541"><span class="lineNum">     541 </span>            :         )                                                                   \</a>
+<a name="542"><span class="lineNum">     542 </span>            :         :                                                                   \</a>
+<a name="543"><span class="lineNum">     543 </span>            :         (                                                                   \</a>
+<a name="544"><span class="lineNum">     544 </span>            :             false                                                           \</a>
+<a name="545"><span class="lineNum">     545 </span>            :         )                                                                   \</a>
+<a name="546"><span class="lineNum">     546 </span>            :     )                                                                       \</a>
+<a name="547"><span class="lineNum">     547 </span>            : )</a>
+<a name="548"><span class="lineNum">     548 </span>            : </a>
+<a name="549"><span class="lineNum">     549 </span>            : //------------------------------------------------------------------------------</a>
+<a name="550"><span class="lineNum">     550 </span>            : // LG_eq_*: sorting comparator function, three keys</a>
+<a name="551"><span class="lineNum">     551 </span>            : //------------------------------------------------------------------------------</a>
+<a name="552"><span class="lineNum">     552 </span>            : </a>
+<a name="553"><span class="lineNum">     553 </span>            : // A [a] and B [b] are keys of two or three integers.</a>
+<a name="554"><span class="lineNum">     554 </span>            : // LG_eq_* returns true if A [a] == B [b]</a>
+<a name="555"><span class="lineNum">     555 </span>            : </a>
+<a name="556"><span class="lineNum">     556 </span>            : #define LG_eq_3(A_0, A_1, A_2, a, B_0, B_1, B_2, b)                         \</a>
+<a name="557"><span class="lineNum">     557 </span>            : (                                                                           \</a>
+<a name="558"><span class="lineNum">     558 </span>            :     (A_0 [a] == B_0 [b]) &amp;&amp;                                                 \</a>
+<a name="559"><span class="lineNum">     559 </span>            :     (A_1 [a] == B_1 [b]) &amp;&amp;                                                 \</a>
+<a name="560"><span class="lineNum">     560 </span>            :     (A_2 [a] == B_2 [b])                                                    \</a>
+<a name="561"><span class="lineNum">     561 </span>            : )</a>
+<a name="562"><span class="lineNum">     562 </span>            : </a>
+<a name="563"><span class="lineNum">     563 </span>            : #define LG_eq_2(A_0, A_1, a, B_0, B_1, b)                                   \</a>
+<a name="564"><span class="lineNum">     564 </span>            : (                                                                           \</a>
+<a name="565"><span class="lineNum">     565 </span>            :     (A_0 [a] == B_0 [b]) &amp;&amp;                                                 \</a>
+<a name="566"><span class="lineNum">     566 </span>            :     (A_1 [a] == B_1 [b])                                                    \</a>
+<a name="567"><span class="lineNum">     567 </span>            : )</a>
+<a name="568"><span class="lineNum">     568 </span>            : </a>
+<a name="569"><span class="lineNum">     569 </span>            : #define LG_eq_1(A_0, a, B_0, b)                                             \</a>
+<a name="570"><span class="lineNum">     570 </span>            : (                                                                           \</a>
+<a name="571"><span class="lineNum">     571 </span>            :     (A_0 [a] == B_0 [b])                                                    \</a>
+<a name="572"><span class="lineNum">     572 </span>            : )</a>
+<a name="573"><span class="lineNum">     573 </span>            : </a>
+<a name="574"><span class="lineNum">     574 </span>            : //------------------------------------------------------------------------------</a>
+<a name="575"><span class="lineNum">     575 </span>            : // count entries on the diagonal of a matrix</a>
+<a name="576"><span class="lineNum">     576 </span>            : //------------------------------------------------------------------------------</a>
+<a name="577"><span class="lineNum">     577 </span>            : </a>
+<a name="578"><span class="lineNum">     578 </span>            : int LG_nself_edges</a>
+<a name="579"><span class="lineNum">     579 </span>            : (</a>
+<a name="580"><span class="lineNum">     580 </span>            :     // output</a>
+<a name="581"><span class="lineNum">     581 </span>            :     int64_t *nself_edges,   // # of entries</a>
+<a name="582"><span class="lineNum">     582 </span>            :     // input</a>
+<a name="583"><span class="lineNum">     583 </span>            :     GrB_Matrix A,           // matrix to count</a>
+<a name="584"><span class="lineNum">     584 </span>            :     char *msg               // error message</a>
+<a name="585"><span class="lineNum">     585 </span>            : ) ;</a>
+<a name="586"><span class="lineNum">     586 </span>            : </a>
+<a name="587"><span class="lineNum">     587 </span>            : //------------------------------------------------------------------------------</a>
+<a name="588"><span class="lineNum">     588 </span>            : // simple and portable random number generator (internal use only)</a>
+<a name="589"><span class="lineNum">     589 </span>            : //------------------------------------------------------------------------------</a>
+<a name="590"><span class="lineNum">     590 </span>            : </a>
+<a name="591"><span class="lineNum">     591 </span>            : #define LG_RANDOM15_MAX 32767</a>
+<a name="592"><span class="lineNum">     592 </span>            : #define LG_RANDOM60_MAX ((1ULL &lt;&lt; 60) -1)</a>
+<a name="593"><span class="lineNum">     593 </span>            : </a>
+<a name="594"><span class="lineNum">     594 </span>            : // return a random number between 0 and LG_RANDOM15_MAX</a>
+<a name="595"><span class="lineNum">     595 </span>            : GrB_Index LG_Random15 (uint64_t *seed) ;</a>
+<a name="596"><span class="lineNum">     596 </span>            : </a>
+<a name="597"><span class="lineNum">     597 </span>            : // return a random uint64_t, in range 0 to LG_RANDOM60_MAX</a>
+<a name="598"><span class="lineNum">     598 </span>            : GrB_Index LG_Random60 (uint64_t *seed) ;</a>
+<a name="599"><span class="lineNum">     599 </span>            : </a>
+<a name="600"><span class="lineNum">     600 </span>            : //------------------------------------------------------------------------------</a>
+<a name="601"><span class="lineNum">     601 </span>            : // LG_KindName: return the name of a kind</a>
+<a name="602"><span class="lineNum">     602 </span>            : //------------------------------------------------------------------------------</a>
+<a name="603"><span class="lineNum">     603 </span>            : </a>
+<a name="604"><span class="lineNum">     604 </span>            : // LG_KindName: return the name of a graph kind.  For example, if given</a>
+<a name="605"><span class="lineNum">     605 </span>            : // LAGraph_ADJACENCY_UNDIRECTED, the string &quot;undirected&quot; is returned.</a>
+<a name="606"><span class="lineNum">     606 </span>            : </a>
+<a name="607"><span class="lineNum">     607 </span>            : int LG_KindName</a>
+<a name="608"><span class="lineNum">     608 </span>            : (</a>
+<a name="609"><span class="lineNum">     609 </span>            :     // output:</a>
+<a name="610"><span class="lineNum">     610 </span>            :     char *name,     // name of the kind (user provided array of size at least</a>
+<a name="611"><span class="lineNum">     611 </span>            :                     // LAGRAPH_MAX_NAME_LEN)</a>
+<a name="612"><span class="lineNum">     612 </span>            :     // input:</a>
+<a name="613"><span class="lineNum">     613 </span>            :     LAGraph_Kind kind,  // graph kind</a>
+<a name="614"><span class="lineNum">     614 </span>            :     char *msg</a>
+<a name="615"><span class="lineNum">     615 </span>            : ) ;</a>
+<a name="616"><span class="lineNum">     616 </span>            : </a>
+<a name="617"><span class="lineNum">     617 </span>            : //------------------------------------------------------------------------------</a>
+<a name="618"><span class="lineNum">     618 </span>            : </a>
+<a name="619"><span class="lineNum">     619 </span>            : // # of entries to print for LAGraph_Matrix_Print and LAGraph_Vector_Print</a>
+<a name="620"><span class="lineNum">     620 </span>            : #define LG_SHORT_LEN 30</a>
+<a name="621"><span class="lineNum">     621 </span>            : </a>
+<a name="622"><span class="lineNum">     622 </span>            : #endif</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort1.c.func-sort-c.html b/src/utility/LG_msort1.c.func-sort-c.html
new file mode 100644
index 0000000000..6761837a91
--- /dev/null
+++ b/src/utility/LG_msort1.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort1.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort1.c<span style="font-size: 80%;"> (<a href="LG_msort1.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_msort1.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#317">LG_msort1</a></td>
+              <td class="coverFnHi">10</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#63">LG_msort_1b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#271">LG_msort_1b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#151">LG_msort_1b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort1.c.func.html b/src/utility/LG_msort1.c.func.html
new file mode 100644
index 0000000000..fa285b1cf8
--- /dev/null
+++ b/src/utility/LG_msort1.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort1.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort1.c<span style="font-size: 80%;"> (<a href="LG_msort1.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_msort1.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#317">LG_msort1</a></td>
+              <td class="coverFnHi">10</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#63">LG_msort_1b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#151">LG_msort_1b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort1.c.gcov.html#271">LG_msort_1b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort1.c.gcov.html b/src/utility/LG_msort1.c.gcov.html
new file mode 100644
index 0000000000..3d815fde89
--- /dev/null
+++ b/src/utility/LG_msort1.c.gcov.html
@@ -0,0 +1,547 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort1.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort1.c<span style="font-size: 80%;"> (source / <a href="LG_msort1.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntry">107</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_msort1: sort a list of integers</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A parallel mergesort of an array of n integers.</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : #define LG_FREE_ALL LAGraph_Free ((void **) &amp;W, NULL) ;</a>
+<a name="21"><span class="lineNum">      21 </span>            : </a>
+<a name="22"><span class="lineNum">      22 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : //------------------------------------------------------------------------------</a>
+<a name="25"><span class="lineNum">      25 </span>            : // prototype only needed for LG_msort1</a>
+<a name="26"><span class="lineNum">      26 </span>            : //------------------------------------------------------------------------------</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : void LG_msort_1b_create_merge_tasks</a>
+<a name="29"><span class="lineNum">      29 </span>            : (</a>
+<a name="30"><span class="lineNum">      30 </span>            :     // output:</a>
+<a name="31"><span class="lineNum">      31 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="32"><span class="lineNum">      32 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="33"><span class="lineNum">      33 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="35"><span class="lineNum">      35 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="36"><span class="lineNum">      36 </span>            :     // input:</a>
+<a name="37"><span class="lineNum">      37 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="39"><span class="lineNum">      39 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="40"><span class="lineNum">      40 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="41"><span class="lineNum">      41 </span>            :     const int64_t pL_start,</a>
+<a name="42"><span class="lineNum">      42 </span>            :     const int64_t pL_end,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="44"><span class="lineNum">      44 </span>            :     const int64_t pR_start,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     const int64_t pR_end</a>
+<a name="46"><span class="lineNum">      46 </span>            : ) ;</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : //------------------------------------------------------------------------------</a>
+<a name="49"><span class="lineNum">      49 </span>            : // LG_msort_1b_binary_search: binary search for the pivot</a>
+<a name="50"><span class="lineNum">      50 </span>            : //------------------------------------------------------------------------------</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : // The Pivot value is Y [pivot], and a binary search for the Pivot is made in</a>
+<a name="53"><span class="lineNum">      53 </span>            : // the array X [p_pstart...p_end-1], which is sorted in non-decreasing order on</a>
+<a name="54"><span class="lineNum">      54 </span>            : // input.  The return value is pleft, where</a>
+<a name="55"><span class="lineNum">      55 </span>            : //</a>
+<a name="56"><span class="lineNum">      56 </span>            : //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="57"><span class="lineNum">      57 </span>            : //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="58"><span class="lineNum">      58 </span>            : //</a>
+<a name="59"><span class="lineNum">      59 </span>            : // pleft is returned in the range p_start to p_end.  If pleft is p_start, then</a>
+<a name="60"><span class="lineNum">      60 </span>            : // the Pivot is smaller than all entries in X [p_start...p_end-1], and the left</a>
+<a name="61"><span class="lineNum">      61 </span>            : // list X [p_start...pleft-1] is empty.  If pleft is p_end, then the Pivot is</a>
+<a name="62"><span class="lineNum">      62 </span>            : // larger than all entries in X [p_start...p_end-1], and the right list X</a>
+<a name="63"><span class="lineNum">      63 </span>            : // [pleft...p_end-1] is empty.</a>
+<a name="64"><span class="lineNum">      64 </span>            : </a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        196 : static int64_t LG_msort_1b_binary_search    // return pleft</span></a>
+<a name="66"><span class="lineNum">      66 </span>            : (</a>
+<a name="67"><span class="lineNum">      67 </span>            :     const int64_t *LG_RESTRICT Y_0,         // Pivot is Y [pivot]</a>
+<a name="68"><span class="lineNum">      68 </span>            :     const int64_t pivot,</a>
+<a name="69"><span class="lineNum">      69 </span>            :     const int64_t *LG_RESTRICT X_0,         // search in X [p_start..p_end_-1]</a>
+<a name="70"><span class="lineNum">      70 </span>            :     const int64_t p_start,</a>
+<a name="71"><span class="lineNum">      71 </span>            :     const int64_t p_end</a>
+<a name="72"><span class="lineNum">      72 </span>            : )</a>
+<a name="73"><span class="lineNum">      73 </span>            : {</a>
+<a name="74"><span class="lineNum">      74 </span>            : </a>
+<a name="75"><span class="lineNum">      75 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="76"><span class="lineNum">      76 </span>            :     // find where the Pivot appears in X</a>
+<a name="77"><span class="lineNum">      77 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="78"><span class="lineNum">      78 </span>            : </a>
+<a name="79"><span class="lineNum">      79 </span>            :     // binary search of X [p_start...p_end-1] for the Pivot</a>
+<a name="80"><span class="lineNum">      80 </span><span class="lineCov">        196 :     int64_t pleft = p_start ;</span></a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">        196 :     int64_t pright = p_end - 1 ;</span></a>
+<a name="82"><span class="lineNum">      82 </span><span class="lineCov">       2982 :     while (pleft &lt; pright)</span></a>
+<a name="83"><span class="lineNum">      83 </span>            :     {</a>
+<a name="84"><span class="lineNum">      84 </span><span class="lineCov">       2786 :         int64_t pmiddle = (pleft + pright) &gt;&gt; 1 ;</span></a>
+<a name="85"><span class="lineNum">      85 </span>            :         // less = (X [pmiddle] &lt; Pivot)</a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">       2786 :         bool less = LG_lt_1 (X_0, pmiddle,</span></a>
+<a name="87"><span class="lineNum">      87 </span>            :                              Y_0, pivot) ;</a>
+<a name="88"><span class="lineNum">      88 </span><span class="lineCov">       2786 :         pleft  = less ? (pmiddle+1) : pleft ;</span></a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">       2786 :         pright = less ? pright : pmiddle ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :     }</a>
+<a name="91"><span class="lineNum">      91 </span>            : </a>
+<a name="92"><span class="lineNum">      92 </span>            :     // binary search is narrowed down to a single item</a>
+<a name="93"><span class="lineNum">      93 </span>            :     // or it has found the list is empty:</a>
+<a name="94"><span class="lineNum">      94 </span>            :     ASSERT (pleft == pright || pleft == pright + 1) ;</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            :     // If found is true then X [pleft == pright] == Pivot.  If duplicates</a>
+<a name="97"><span class="lineNum">      97 </span>            :     // appear then X [pleft] is any one of the entries equal to the Pivot</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // in the list.  If found is false then</a>
+<a name="99"><span class="lineNum">      99 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="100"><span class="lineNum">     100 </span>            :     //    X [pleft+1 ... p_end-1] &gt; Pivot holds.</a>
+<a name="101"><span class="lineNum">     101 </span>            :     //    The value X [pleft] may be either &lt; or &gt; Pivot.</a>
+<a name="102"><span class="lineNum">     102 </span><span class="lineCov">        196 :     bool found = (pleft == pright) &amp;&amp; LG_eq_1 (X_0, pleft,</span></a>
+<a name="103"><span class="lineNum">     103 </span>            :                                                Y_0, pivot) ;</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :     // Modify pleft and pright:</a>
+<a name="106"><span class="lineNum">     106 </span><span class="lineCov">        196 :     if (!found &amp;&amp; (pleft == pright))</span></a>
+<a name="107"><span class="lineNum">     107 </span>            :     {</a>
+<a name="108"><span class="lineNum">     108 </span><span class="lineCov">         26 :         if (LG_lt_1 (X_0, pleft,</span></a>
+<a name="109"><span class="lineNum">     109 </span>            :                      Y_0, pivot))</a>
+<a name="110"><span class="lineNum">     110 </span>            :         {</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">          2 :             pleft++ ;</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :         }</a>
+<a name="113"><span class="lineNum">     113 </span>            :         else</a>
+<a name="114"><span class="lineNum">     114 </span>            :         {</a>
+<a name="115"><span class="lineNum">     115 </span>            : //          pright++ ;  // (not needed)</a>
+<a name="116"><span class="lineNum">     116 </span>            :         }</a>
+<a name="117"><span class="lineNum">     117 </span>            :     }</a>
+<a name="118"><span class="lineNum">     118 </span>            : </a>
+<a name="119"><span class="lineNum">     119 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="120"><span class="lineNum">     120 </span>            :     // return result</a>
+<a name="121"><span class="lineNum">     121 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="122"><span class="lineNum">     122 </span>            : </a>
+<a name="123"><span class="lineNum">     123 </span>            :     // If found is false then</a>
+<a name="124"><span class="lineNum">     124 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="125"><span class="lineNum">     125 </span>            :     //    X [pleft ... p_end-1] &gt; Pivot holds,</a>
+<a name="126"><span class="lineNum">     126 </span>            :     //    and pleft-1 == pright</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            :     // If X has no duplicates, then whether or not Pivot is found,</a>
+<a name="129"><span class="lineNum">     129 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="130"><span class="lineNum">     130 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     // If X has duplicates, then whether or not Pivot is found,</a>
+<a name="133"><span class="lineNum">     133 </span>            :     //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="135"><span class="lineNum">     135 </span>            : </a>
+<a name="136"><span class="lineNum">     136 </span><span class="lineCov">        196 :     return (pleft) ;</span></a>
+<a name="137"><span class="lineNum">     137 </span>            : }</a>
+<a name="138"><span class="lineNum">     138 </span>            : </a>
+<a name="139"><span class="lineNum">     139 </span>            : //------------------------------------------------------------------------------</a>
+<a name="140"><span class="lineNum">     140 </span>            : // LG_msort_1b_create_merge_tasks</a>
+<a name="141"><span class="lineNum">     141 </span>            : //------------------------------------------------------------------------------</a>
+<a name="142"><span class="lineNum">     142 </span>            : </a>
+<a name="143"><span class="lineNum">     143 </span>            : // Recursively constructs ntasks tasks to merge two arrays, Left and Right,</a>
+<a name="144"><span class="lineNum">     144 </span>            : // into Sresult, where Left is L [pL_start...pL_end-1], Right is R</a>
+<a name="145"><span class="lineNum">     145 </span>            : // [pR_start...pR_end-1], and Sresult is S [pS_start...pS_start+total_work-1],</a>
+<a name="146"><span class="lineNum">     146 </span>            : // and where total_work is the total size of Left and Right.</a>
+<a name="147"><span class="lineNum">     147 </span>            : //</a>
+<a name="148"><span class="lineNum">     148 </span>            : // Task tid will merge L [L_task [tid] ... L_task [tid] + L_len [tid] - 1] and</a>
+<a name="149"><span class="lineNum">     149 </span>            : // R [R_task [tid] ... R_task [tid] + R_len [tid] -1] into the merged output</a>
+<a name="150"><span class="lineNum">     150 </span>            : // array S [S_task [tid] ... ].  The task tids created are t0 to</a>
+<a name="151"><span class="lineNum">     151 </span>            : // t0+ntasks-1.</a>
+<a name="152"><span class="lineNum">     152 </span>            : </a>
+<a name="153"><span class="lineNum">     153 </span><span class="lineCov">        452 : void LG_msort_1b_create_merge_tasks</span></a>
+<a name="154"><span class="lineNum">     154 </span>            : (</a>
+<a name="155"><span class="lineNum">     155 </span>            :     // output:</a>
+<a name="156"><span class="lineNum">     156 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="157"><span class="lineNum">     157 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="158"><span class="lineNum">     158 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="159"><span class="lineNum">     159 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="160"><span class="lineNum">     160 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="161"><span class="lineNum">     161 </span>            :     // input:</a>
+<a name="162"><span class="lineNum">     162 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="163"><span class="lineNum">     163 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="164"><span class="lineNum">     164 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="165"><span class="lineNum">     165 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="166"><span class="lineNum">     166 </span>            :     const int64_t pL_start,</a>
+<a name="167"><span class="lineNum">     167 </span>            :     const int64_t pL_end,</a>
+<a name="168"><span class="lineNum">     168 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="169"><span class="lineNum">     169 </span>            :     const int64_t pR_start,</a>
+<a name="170"><span class="lineNum">     170 </span>            :     const int64_t pR_end</a>
+<a name="171"><span class="lineNum">     171 </span>            : )</a>
+<a name="172"><span class="lineNum">     172 </span>            : {</a>
+<a name="173"><span class="lineNum">     173 </span>            : </a>
+<a name="174"><span class="lineNum">     174 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="175"><span class="lineNum">     175 </span>            :     // get problem size</a>
+<a name="176"><span class="lineNum">     176 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="177"><span class="lineNum">     177 </span>            : </a>
+<a name="178"><span class="lineNum">     178 </span><span class="lineCov">        452 :     int64_t nleft  = pL_end - pL_start ;        // size of Left array</span></a>
+<a name="179"><span class="lineNum">     179 </span><span class="lineCov">        452 :     int64_t nright = pR_end - pR_start ;        // size of Right array</span></a>
+<a name="180"><span class="lineNum">     180 </span><span class="lineCov">        452 :     int64_t total_work = nleft + nright ;       // total work to do</span></a>
+<a name="181"><span class="lineNum">     181 </span>            :     ASSERT (ntasks &gt;= 1) ;</a>
+<a name="182"><span class="lineNum">     182 </span>            :     ASSERT (total_work &gt; 0) ;</a>
+<a name="183"><span class="lineNum">     183 </span>            : </a>
+<a name="184"><span class="lineNum">     184 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="185"><span class="lineNum">     185 </span>            :     // create the tasks</a>
+<a name="186"><span class="lineNum">     186 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="187"><span class="lineNum">     187 </span>            : </a>
+<a name="188"><span class="lineNum">     188 </span><span class="lineCov">        452 :     if (ntasks == 1)</span></a>
+<a name="189"><span class="lineNum">     189 </span>            :     {</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :         //----------------------------------------------------------------------</a>
+<a name="192"><span class="lineNum">     192 </span>            :         // a single task will merge all of Left and Right into Sresult</a>
+<a name="193"><span class="lineNum">     193 </span>            :         //----------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        256 :         L_task [t0] = pL_start ; L_len [t0] = nleft ;</span></a>
+<a name="196"><span class="lineNum">     196 </span><span class="lineCov">        256 :         R_task [t0] = pR_start ; R_len [t0] = nright ;</span></a>
+<a name="197"><span class="lineNum">     197 </span><span class="lineCov">        256 :         S_task [t0] = pS_start ;</span></a>
+<a name="198"><span class="lineNum">     198 </span>            : </a>
+<a name="199"><span class="lineNum">     199 </span>            :     }</a>
+<a name="200"><span class="lineNum">     200 </span>            :     else</a>
+<a name="201"><span class="lineNum">     201 </span>            :     {</a>
+<a name="202"><span class="lineNum">     202 </span>            : </a>
+<a name="203"><span class="lineNum">     203 </span>            :         //----------------------------------------------------------------------</a>
+<a name="204"><span class="lineNum">     204 </span>            :         // partition the Left and Right arrays for multiple merge tasks</a>
+<a name="205"><span class="lineNum">     205 </span>            :         //----------------------------------------------------------------------</a>
+<a name="206"><span class="lineNum">     206 </span>            : </a>
+<a name="207"><span class="lineNum">     207 </span>            :         int64_t pleft, pright ;</a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        196 :         if (nleft &gt;= nright)</span></a>
+<a name="209"><span class="lineNum">     209 </span>            :         {</a>
+<a name="210"><span class="lineNum">     210 </span>            :             // split Left in half, and search for its pivot in Right</a>
+<a name="211"><span class="lineNum">     211 </span><span class="lineCov">        130 :             pleft = (pL_end + pL_start) &gt;&gt; 1 ;</span></a>
+<a name="212"><span class="lineNum">     212 </span><span class="lineCov">        130 :             pright = LG_msort_1b_binary_search (</span></a>
+<a name="213"><span class="lineNum">     213 </span>            :                         L_0, pleft,</a>
+<a name="214"><span class="lineNum">     214 </span>            :                         R_0, pR_start, pR_end) ;</a>
+<a name="215"><span class="lineNum">     215 </span>            :         }</a>
+<a name="216"><span class="lineNum">     216 </span>            :         else</a>
+<a name="217"><span class="lineNum">     217 </span>            :         {</a>
+<a name="218"><span class="lineNum">     218 </span>            :             // split Right in half, and search for its pivot in Left</a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">         66 :             pright = (pR_end + pR_start) &gt;&gt; 1 ;</span></a>
+<a name="220"><span class="lineNum">     220 </span><span class="lineCov">         66 :             pleft = LG_msort_1b_binary_search (</span></a>
+<a name="221"><span class="lineNum">     221 </span>            :                         R_0, pright,</a>
+<a name="222"><span class="lineNum">     222 </span>            :                         L_0, pL_start, pL_end) ;</a>
+<a name="223"><span class="lineNum">     223 </span>            :         }</a>
+<a name="224"><span class="lineNum">     224 </span>            : </a>
+<a name="225"><span class="lineNum">     225 </span>            :         //----------------------------------------------------------------------</a>
+<a name="226"><span class="lineNum">     226 </span>            :         // partition the tasks according to the work of each partition</a>
+<a name="227"><span class="lineNum">     227 </span>            :         //----------------------------------------------------------------------</a>
+<a name="228"><span class="lineNum">     228 </span>            : </a>
+<a name="229"><span class="lineNum">     229 </span>            :         // work0 is the total work in the first partition</a>
+<a name="230"><span class="lineNum">     230 </span><span class="lineCov">        196 :         int64_t work0 = (pleft - pL_start) + (pright - pR_start) ;</span></a>
+<a name="231"><span class="lineNum">     231 </span><span class="lineCov">        196 :         int ntasks0 = (int) round ((double) ntasks *</span></a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">        196 :             (((double) work0) / ((double) total_work))) ;</span></a>
+<a name="233"><span class="lineNum">     233 </span>            : </a>
+<a name="234"><span class="lineNum">     234 </span>            :         // ensure at least one task is assigned to each partition</a>
+<a name="235"><span class="lineNum">     235 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MAX (ntasks0, 1) ;</span></a>
+<a name="236"><span class="lineNum">     236 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MIN (ntasks0, ntasks-1) ;</span></a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">        196 :         int ntasks1 = ntasks - ntasks0 ;</span></a>
+<a name="238"><span class="lineNum">     238 </span>            : </a>
+<a name="239"><span class="lineNum">     239 </span>            :         //----------------------------------------------------------------------</a>
+<a name="240"><span class="lineNum">     240 </span>            :         // assign ntasks0 to the first half</a>
+<a name="241"><span class="lineNum">     241 </span>            :         //----------------------------------------------------------------------</a>
+<a name="242"><span class="lineNum">     242 </span>            : </a>
+<a name="243"><span class="lineNum">     243 </span>            :         // ntasks0 tasks merge L [pL_start...pleft-1] and R [pR_start..pright-1]</a>
+<a name="244"><span class="lineNum">     244 </span>            :         // into the result S [pS_start...work0-1].</a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span><span class="lineCov">        196 :         LG_msort_1b_create_merge_tasks (</span></a>
+<a name="247"><span class="lineNum">     247 </span>            :             L_task, L_len, R_task, R_len, S_task, t0, ntasks0, pS_start,</a>
+<a name="248"><span class="lineNum">     248 </span>            :             L_0, pL_start, pleft,</a>
+<a name="249"><span class="lineNum">     249 </span>            :             R_0, pR_start, pright) ;</a>
+<a name="250"><span class="lineNum">     250 </span>            : </a>
+<a name="251"><span class="lineNum">     251 </span>            :         //----------------------------------------------------------------------</a>
+<a name="252"><span class="lineNum">     252 </span>            :         // assign ntasks1 to the second half</a>
+<a name="253"><span class="lineNum">     253 </span>            :         //----------------------------------------------------------------------</a>
+<a name="254"><span class="lineNum">     254 </span>            : </a>
+<a name="255"><span class="lineNum">     255 </span>            :         // ntasks1 tasks merge L [pleft...pL_end-1] and R [pright...pR_end-1]</a>
+<a name="256"><span class="lineNum">     256 </span>            :         // into the result S [pS_start+work0...pS_start+total_work].</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span><span class="lineCov">        196 :         int t1 = t0 + ntasks0 ;     // first task id of the second set of tasks</span></a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">        196 :         int64_t pS_start1 = pS_start + work0 ;  // 2nd set starts here in S</span></a>
+<a name="260"><span class="lineNum">     260 </span><span class="lineCov">        196 :         LG_msort_1b_create_merge_tasks (</span></a>
+<a name="261"><span class="lineNum">     261 </span>            :             L_task, L_len, R_task, R_len, S_task, t1, ntasks1, pS_start1,</a>
+<a name="262"><span class="lineNum">     262 </span>            :             L_0, pleft,  pL_end,</a>
+<a name="263"><span class="lineNum">     263 </span>            :             R_0, pright, pR_end) ;</a>
+<a name="264"><span class="lineNum">     264 </span>            :     }</a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">        452 : }</span></a>
+<a name="266"><span class="lineNum">     266 </span>            : </a>
+<a name="267"><span class="lineNum">     267 </span>            : //------------------------------------------------------------------------------</a>
+<a name="268"><span class="lineNum">     268 </span>            : // LG_msort_1b_merge: merge two sorted lists via a single thread</a>
+<a name="269"><span class="lineNum">     269 </span>            : //------------------------------------------------------------------------------</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span>            : // merge Left [0..nleft-1] and Right [0..nright-1] into S [0..nleft+nright-1] */</a>
+<a name="272"><span class="lineNum">     272 </span>            : </a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        256 : static void LG_msort_1b_merge</span></a>
+<a name="274"><span class="lineNum">     274 </span>            : (</a>
+<a name="275"><span class="lineNum">     275 </span>            :     int64_t *LG_RESTRICT S_0,              // output of length nleft + nright</a>
+<a name="276"><span class="lineNum">     276 </span>            :     const int64_t *LG_RESTRICT Left_0,     // left input of length nleft</a>
+<a name="277"><span class="lineNum">     277 </span>            :     const int64_t nleft,</a>
+<a name="278"><span class="lineNum">     278 </span>            :     const int64_t *LG_RESTRICT Right_0,    // right input of length nright</a>
+<a name="279"><span class="lineNum">     279 </span>            :     const int64_t nright</a>
+<a name="280"><span class="lineNum">     280 </span>            : )</a>
+<a name="281"><span class="lineNum">     281 </span>            : {</a>
+<a name="282"><span class="lineNum">     282 </span>            :     int64_t p, pleft, pright ;</a>
+<a name="283"><span class="lineNum">     283 </span>            : </a>
+<a name="284"><span class="lineNum">     284 </span>            :     // merge the two inputs, Left and Right, while both inputs exist</a>
+<a name="285"><span class="lineNum">     285 </span><span class="lineCov">    3005484 :     for (p = 0, pleft = 0, pright = 0 ; pleft &lt; nleft &amp;&amp; pright &lt; nright ; p++)</span></a>
+<a name="286"><span class="lineNum">     286 </span>            :     {</a>
+<a name="287"><span class="lineNum">     287 </span><span class="lineCov">    3005228 :         if (LG_lt_1 (Left_0,  pleft,</span></a>
+<a name="288"><span class="lineNum">     288 </span>            :                      Right_0, pright))</a>
+<a name="289"><span class="lineNum">     289 </span>            :         {</a>
+<a name="290"><span class="lineNum">     290 </span>            :             // S [p] = Left [pleft++]</a>
+<a name="291"><span class="lineNum">     291 </span><span class="lineCov">    1196146 :             S_0 [p] = Left_0 [pleft] ;</span></a>
+<a name="292"><span class="lineNum">     292 </span><span class="lineCov">    1196146 :             pleft++ ;</span></a>
+<a name="293"><span class="lineNum">     293 </span>            :         }</a>
+<a name="294"><span class="lineNum">     294 </span>            :         else</a>
+<a name="295"><span class="lineNum">     295 </span>            :         {</a>
+<a name="296"><span class="lineNum">     296 </span>            :             // S [p] = Right [pright++]</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">    1809082 :             S_0 [p] = Right_0 [pright] ;</span></a>
+<a name="298"><span class="lineNum">     298 </span><span class="lineCov">    1809082 :             pright++ ;</span></a>
+<a name="299"><span class="lineNum">     299 </span>            :         }</a>
+<a name="300"><span class="lineNum">     300 </span>            :     }</a>
+<a name="301"><span class="lineNum">     301 </span>            : </a>
+<a name="302"><span class="lineNum">     302 </span>            :     // either input is exhausted; copy the remaining list into S</a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">        256 :     if (pleft &lt; nleft)</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :     {</a>
+<a name="305"><span class="lineNum">     305 </span><span class="lineCov">        188 :         int64_t nremaining = (nleft - pleft) ;</span></a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">        188 :         memcpy (S_0 + p, Left_0 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="307"><span class="lineNum">     307 </span>            :     }</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">         68 :     else if (pright &lt; nright)</span></a>
+<a name="309"><span class="lineNum">     309 </span>            :     {</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">         68 :         int64_t nremaining = (nright - pright) ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">         68 :         memcpy (S_0 + p, Right_0 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="312"><span class="lineNum">     312 </span>            :     }</a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">        256 : }</span></a>
+<a name="314"><span class="lineNum">     314 </span>            : </a>
+<a name="315"><span class="lineNum">     315 </span>            : //------------------------------------------------------------------------------</a>
+<a name="316"><span class="lineNum">     316 </span>            : // LG_msort1: parallel mergesort</a>
+<a name="317"><span class="lineNum">     317 </span>            : //------------------------------------------------------------------------------</a>
+<a name="318"><span class="lineNum">     318 </span>            : </a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">         10 : int LG_msort1</span></a>
+<a name="320"><span class="lineNum">     320 </span>            : (</a>
+<a name="321"><span class="lineNum">     321 </span>            :     // input/output:</a>
+<a name="322"><span class="lineNum">     322 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="323"><span class="lineNum">     323 </span>            :     // input:</a>
+<a name="324"><span class="lineNum">     324 </span>            :     const int64_t n,</a>
+<a name="325"><span class="lineNum">     325 </span>            :     char *msg</a>
+<a name="326"><span class="lineNum">     326 </span>            : )</a>
+<a name="327"><span class="lineNum">     327 </span>            : {</a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="330"><span class="lineNum">     330 </span>            :     // check inputs</a>
+<a name="331"><span class="lineNum">     331 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="332"><span class="lineNum">     332 </span>            : </a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">         10 :     LG_CLEAR_MSG ;</span></a>
+<a name="334"><span class="lineNum">     334 </span><span class="lineCov">         10 :     int64_t *LG_RESTRICT W = NULL ;</span></a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">         10 :     LG_ASSERT (A_0 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span>            : </a>
+<a name="337"><span class="lineNum">     337 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="338"><span class="lineNum">     338 </span>            :     // handle small problems with a single thread</a>
+<a name="339"><span class="lineNum">     339 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="340"><span class="lineNum">     340 </span>            : </a>
+<a name="341"><span class="lineNum">     341 </span><span class="lineCov">         10 :     int nthreads = LG_nthreads_outer * LG_nthreads_inner ; // # threads to use</span></a>
+<a name="342"><span class="lineNum">     342 </span><span class="lineCov">         10 :     if (nthreads &lt;= 1 || n &lt;= LG_BASECASE)</span></a>
+<a name="343"><span class="lineNum">     343 </span>            :     {</a>
+<a name="344"><span class="lineNum">     344 </span>            :         // sequential quicksort</a>
+<a name="345"><span class="lineNum">     345 </span><span class="lineCov">          4 :         LG_qsort_1a (A_0, n) ;</span></a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">          4 :         return (GrB_SUCCESS) ;</span></a>
+<a name="347"><span class="lineNum">     347 </span>            :     }</a>
+<a name="348"><span class="lineNum">     348 </span>            : </a>
+<a name="349"><span class="lineNum">     349 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="350"><span class="lineNum">     350 </span>            :     // determine # of tasks</a>
+<a name="351"><span class="lineNum">     351 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span>            :     // determine the number of levels to create, which must always be an</a>
+<a name="354"><span class="lineNum">     354 </span>            :     // even number.  The # of levels is chosen to ensure that the # of leaves</a>
+<a name="355"><span class="lineNum">     355 </span>            :     // of the task tree is between 4*nthreads and 16*nthreads.</a>
+<a name="356"><span class="lineNum">     356 </span>            : </a>
+<a name="357"><span class="lineNum">     357 </span>            :     //  2 to 4 threads:     4 levels, 16 qsort leaves</a>
+<a name="358"><span class="lineNum">     358 </span>            :     //  5 to 16 threads:    6 levels, 64 qsort leaves</a>
+<a name="359"><span class="lineNum">     359 </span>            :     // 17 to 64 threads:    8 levels, 256 qsort leaves</a>
+<a name="360"><span class="lineNum">     360 </span>            :     // 65 to 256 threads:   10 levels, 1024 qsort leaves</a>
+<a name="361"><span class="lineNum">     361 </span>            :     // 256 to 1024 threads: 12 levels, 4096 qsort leaves</a>
+<a name="362"><span class="lineNum">     362 </span>            :     // ...</a>
+<a name="363"><span class="lineNum">     363 </span>            : </a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">          6 :     int k = (int) (2 + 2 * ceil (log2 ((double) nthreads) / 2)) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">          6 :     int ntasks = 1 &lt;&lt; k ;</span></a>
+<a name="366"><span class="lineNum">     366 </span>            : </a>
+<a name="367"><span class="lineNum">     367 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="368"><span class="lineNum">     368 </span>            :     // allocate workspace</a>
+<a name="369"><span class="lineNum">     369 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="370"><span class="lineNum">     370 </span>            : </a>
+<a name="371"><span class="lineNum">     371 </span><span class="lineCov">          6 :     LG_TRY (LAGraph_Malloc ((void **) &amp;W, n + 6*ntasks + 1, sizeof (int64_t), msg)) ;</span></a>
+<a name="372"><span class="lineNum">     372 </span>            : </a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">          4 :     int64_t *T = W ;</span></a>
+<a name="374"><span class="lineNum">     374 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_0    = T ; T += n ;</span></a>
+<a name="375"><span class="lineNum">     375 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_task = T ; T += ntasks ;</span></a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_len  = T ; T += ntasks ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_task = T ; T += ntasks ;</span></a>
+<a name="378"><span class="lineNum">     378 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_len  = T ; T += ntasks ;</span></a>
+<a name="379"><span class="lineNum">     379 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT S_task = T ; T += ntasks ;</span></a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT Slice  = T ; T += (ntasks+1) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span>            : </a>
+<a name="382"><span class="lineNum">     382 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="383"><span class="lineNum">     383 </span>            :     // partition and sort the leaves</a>
+<a name="384"><span class="lineNum">     384 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="385"><span class="lineNum">     385 </span>            : </a>
+<a name="386"><span class="lineNum">     386 </span><span class="lineCov">          4 :     LG_eslice (Slice, n, ntasks) ;</span></a>
+<a name="387"><span class="lineNum">     387 </span>            :     int tid ;</a>
+<a name="388"><span class="lineNum">     388 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="389"><span class="lineNum">     389 </span><span class="lineCov">         68 :     for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="390"><span class="lineNum">     390 </span>            :     {</a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">         64 :         int64_t leaf = Slice [tid] ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">         64 :         int64_t leafsize = Slice [tid+1] - leaf ;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">         64 :         LG_qsort_1a (A_0 + leaf, leafsize) ;</span></a>
+<a name="394"><span class="lineNum">     394 </span>            :     }</a>
+<a name="395"><span class="lineNum">     395 </span>            : </a>
+<a name="396"><span class="lineNum">     396 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="397"><span class="lineNum">     397 </span>            :     // merge each level</a>
+<a name="398"><span class="lineNum">     398 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="399"><span class="lineNum">     399 </span>            : </a>
+<a name="400"><span class="lineNum">     400 </span><span class="lineCov">          4 :     int nt = 1 ;</span></a>
+<a name="401"><span class="lineNum">     401 </span><span class="lineCov">         12 :     for ( ; k &gt;= 2 ; k -= 2)</span></a>
+<a name="402"><span class="lineNum">     402 </span>            :     {</a>
+<a name="403"><span class="lineNum">     403 </span>            : </a>
+<a name="404"><span class="lineNum">     404 </span>            :         //----------------------------------------------------------------------</a>
+<a name="405"><span class="lineNum">     405 </span>            :         // merge level k into level k-1, from A into W</a>
+<a name="406"><span class="lineNum">     406 </span>            :         //----------------------------------------------------------------------</a>
+<a name="407"><span class="lineNum">     407 </span>            : </a>
+<a name="408"><span class="lineNum">     408 </span>            :         // FUTURE: skip k and k-1 for each group of 4 sublists of A if they are</a>
+<a name="409"><span class="lineNum">     409 </span>            :         // already sorted with respect to each other.</a>
+<a name="410"><span class="lineNum">     410 </span>            : </a>
+<a name="411"><span class="lineNum">     411 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">         48 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="413"><span class="lineNum">     413 </span>            :         {</a>
+<a name="414"><span class="lineNum">     414 </span>            :             // create 2*nt tasks to merge two A sublists into one W sublist</a>
+<a name="415"><span class="lineNum">     415 </span><span class="lineCov">         40 :             LG_msort_1b_create_merge_tasks (</span></a>
+<a name="416"><span class="lineNum">     416 </span><span class="lineCov">         40 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="417"><span class="lineNum">     417 </span><span class="lineCov">         40 :                 A_0, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">         40 :                 A_0, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="419"><span class="lineNum">     419 </span>            :         }</a>
+<a name="420"><span class="lineNum">     420 </span>            : </a>
+<a name="421"><span class="lineNum">     421 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="422"><span class="lineNum">     422 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="423"><span class="lineNum">     423 </span>            :         {</a>
+<a name="424"><span class="lineNum">     424 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="428"><span class="lineNum">     428 </span>            : </a>
+<a name="429"><span class="lineNum">     429 </span><span class="lineCov">        128 :             LG_msort_1b_merge (</span></a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">        128 :                 W_0 + pS,</span></a>
+<a name="431"><span class="lineNum">     431 </span><span class="lineCov">        128 :                 A_0 + pL, nL,</span></a>
+<a name="432"><span class="lineNum">     432 </span><span class="lineCov">        128 :                 A_0 + pR, nR) ;</span></a>
+<a name="433"><span class="lineNum">     433 </span>            :         }</a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="435"><span class="lineNum">     435 </span>            : </a>
+<a name="436"><span class="lineNum">     436 </span>            :         //----------------------------------------------------------------------</a>
+<a name="437"><span class="lineNum">     437 </span>            :         // merge level k-1 into level k-2, from W into A</a>
+<a name="438"><span class="lineNum">     438 </span>            :         //----------------------------------------------------------------------</a>
+<a name="439"><span class="lineNum">     439 </span>            : </a>
+<a name="440"><span class="lineNum">     440 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="441"><span class="lineNum">     441 </span><span class="lineCov">         28 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="442"><span class="lineNum">     442 </span>            :         {</a>
+<a name="443"><span class="lineNum">     443 </span>            :             // create 2*nt tasks to merge two W sublists into one A sublist</a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">         20 :             LG_msort_1b_create_merge_tasks (</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">         20 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">         20 :                 W_0, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">         20 :                 W_0, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="448"><span class="lineNum">     448 </span>            :         }</a>
+<a name="449"><span class="lineNum">     449 </span>            : </a>
+<a name="450"><span class="lineNum">     450 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="451"><span class="lineNum">     451 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="452"><span class="lineNum">     452 </span>            :         {</a>
+<a name="453"><span class="lineNum">     453 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="454"><span class="lineNum">     454 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="455"><span class="lineNum">     455 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">        128 :             LG_msort_1b_merge (</span></a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">        128 :                 A_0 + pS,</span></a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">        128 :                 W_0 + pL, nL,</span></a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">        128 :                 W_0 + pR, nR) ;</span></a>
+<a name="461"><span class="lineNum">     461 </span>            :         }</a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="463"><span class="lineNum">     463 </span>            :     }</a>
+<a name="464"><span class="lineNum">     464 </span>            : </a>
+<a name="465"><span class="lineNum">     465 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="466"><span class="lineNum">     466 </span>            :     // free workspace and return result</a>
+<a name="467"><span class="lineNum">     467 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="468"><span class="lineNum">     468 </span>            : </a>
+<a name="469"><span class="lineNum">     469 </span><span class="lineCov">          4 :     LG_FREE_ALL ;</span></a>
+<a name="470"><span class="lineNum">     470 </span><span class="lineCov">          4 :     return (GrB_SUCCESS) ;</span></a>
+<a name="471"><span class="lineNum">     471 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort2.c.func-sort-c.html b/src/utility/LG_msort2.c.func-sort-c.html
new file mode 100644
index 0000000000..6fb60f98b5
--- /dev/null
+++ b/src/utility/LG_msort2.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort2.c<span style="font-size: 80%;"> (<a href="LG_msort2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_msort2.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#66">LG_msort_2b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#278">LG_msort_2b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#156">LG_msort_2b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#331">LG_msort2</a></td>
+              <td class="coverFnHi">1663</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort2.c.func.html b/src/utility/LG_msort2.c.func.html
new file mode 100644
index 0000000000..c75b5f656e
--- /dev/null
+++ b/src/utility/LG_msort2.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort2.c<span style="font-size: 80%;"> (<a href="LG_msort2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_msort2.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#331">LG_msort2</a></td>
+              <td class="coverFnHi">1663</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#66">LG_msort_2b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#156">LG_msort_2b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort2.c.gcov.html#278">LG_msort_2b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort2.c.gcov.html b/src/utility/LG_msort2.c.gcov.html
new file mode 100644
index 0000000000..8e37d4f7b4
--- /dev/null
+++ b/src/utility/LG_msort2.c.gcov.html
@@ -0,0 +1,565 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort2.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort2.c<span style="font-size: 80%;"> (source / <a href="LG_msort2.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntry">113</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_msort2: sort a 2-by-n list of integers, using A[0:1][ ] as the key</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A parallel mergesort of an array of 2-by-n integers.  Each key</a>
+<a name="19"><span class="lineNum">      19 </span>            : // consists of two integers.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL LAGraph_Free ((void **) &amp;W, NULL) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : //------------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : // prototype only needed for LG_msort2</a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : void LG_msort_2b_create_merge_tasks</a>
+<a name="30"><span class="lineNum">      30 </span>            : (</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // output:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="33"><span class="lineNum">      33 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="35"><span class="lineNum">      35 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="36"><span class="lineNum">      36 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // input:</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="39"><span class="lineNum">      39 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="40"><span class="lineNum">      40 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="41"><span class="lineNum">      41 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="42"><span class="lineNum">      42 </span>            :     const int64_t *LG_RESTRICT L_1,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     const int64_t pL_start,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     const int64_t pL_end,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="46"><span class="lineNum">      46 </span>            :     const int64_t *LG_RESTRICT R_1,</a>
+<a name="47"><span class="lineNum">      47 </span>            :     const int64_t pR_start,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     const int64_t pR_end</a>
+<a name="49"><span class="lineNum">      49 </span>            : ) ;</a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            : //------------------------------------------------------------------------------</a>
+<a name="52"><span class="lineNum">      52 </span>            : // LG_msort_2b_binary_search: binary search for the pivot</a>
+<a name="53"><span class="lineNum">      53 </span>            : //------------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : </a>
+<a name="55"><span class="lineNum">      55 </span>            : // The Pivot value is Y [pivot], and a binary search for the Pivot is made in</a>
+<a name="56"><span class="lineNum">      56 </span>            : // the array X [p_pstart...p_end-1], which is sorted in non-decreasing order on</a>
+<a name="57"><span class="lineNum">      57 </span>            : // input.  The return value is pleft, where</a>
+<a name="58"><span class="lineNum">      58 </span>            : //</a>
+<a name="59"><span class="lineNum">      59 </span>            : //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="60"><span class="lineNum">      60 </span>            : //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="61"><span class="lineNum">      61 </span>            : //</a>
+<a name="62"><span class="lineNum">      62 </span>            : // pleft is returned in the range p_start to p_end.  If pleft is p_start, then</a>
+<a name="63"><span class="lineNum">      63 </span>            : // the Pivot is smaller than all entries in X [p_start...p_end-1], and the left</a>
+<a name="64"><span class="lineNum">      64 </span>            : // list X [p_start...pleft-1] is empty.  If pleft is p_end, then the Pivot is</a>
+<a name="65"><span class="lineNum">      65 </span>            : // larger than all entries in X [p_start...p_end-1], and the right list X</a>
+<a name="66"><span class="lineNum">      66 </span>            : // [pleft...p_end-1] is empty.</a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span><span class="lineCov">        196 : static int64_t LG_msort_2b_binary_search    // return pleft</span></a>
+<a name="69"><span class="lineNum">      69 </span>            : (</a>
+<a name="70"><span class="lineNum">      70 </span>            :     const int64_t *LG_RESTRICT Y_0,         // Pivot is Y [pivot]</a>
+<a name="71"><span class="lineNum">      71 </span>            :     const int64_t *LG_RESTRICT Y_1,</a>
+<a name="72"><span class="lineNum">      72 </span>            :     const int64_t pivot,</a>
+<a name="73"><span class="lineNum">      73 </span>            :     const int64_t *LG_RESTRICT X_0,         // search in X [p_start..p_end_-1]</a>
+<a name="74"><span class="lineNum">      74 </span>            :     const int64_t *LG_RESTRICT X_1,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     const int64_t p_start,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     const int64_t p_end</a>
+<a name="77"><span class="lineNum">      77 </span>            : )</a>
+<a name="78"><span class="lineNum">      78 </span>            : {</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="81"><span class="lineNum">      81 </span>            :     // find where the Pivot appears in X</a>
+<a name="82"><span class="lineNum">      82 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     // binary search of X [p_start...p_end-1] for the Pivot</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">        196 :     int64_t pleft = p_start ;</span></a>
+<a name="86"><span class="lineNum">      86 </span><span class="lineCov">        196 :     int64_t pright = p_end - 1 ;</span></a>
+<a name="87"><span class="lineNum">      87 </span><span class="lineCov">       2980 :     while (pleft &lt; pright)</span></a>
+<a name="88"><span class="lineNum">      88 </span>            :     {</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">       2784 :         int64_t pmiddle = (pleft + pright) &gt;&gt; 1 ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            :         // less = (X [pmiddle] &lt; Pivot)</a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       2784 :         bool less = LG_lt_2 (X_0, X_1, pmiddle,</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :                              Y_0, Y_1, pivot) ;</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">       2784 :         pleft  = less ? (pmiddle+1) : pleft ;</span></a>
+<a name="94"><span class="lineNum">      94 </span><span class="lineCov">       2784 :         pright = less ? pright : pmiddle ;</span></a>
+<a name="95"><span class="lineNum">      95 </span>            :     }</a>
+<a name="96"><span class="lineNum">      96 </span>            : </a>
+<a name="97"><span class="lineNum">      97 </span>            :     // binary search is narrowed down to a single item</a>
+<a name="98"><span class="lineNum">      98 </span>            :     // or it has found the list is empty:</a>
+<a name="99"><span class="lineNum">      99 </span>            :     ASSERT (pleft == pright || pleft == pright + 1) ;</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :     // If found is true then X [pleft == pright] == Pivot.  If duplicates</a>
+<a name="102"><span class="lineNum">     102 </span>            :     // appear then X [pleft] is any one of the entries equal to the Pivot</a>
+<a name="103"><span class="lineNum">     103 </span>            :     // in the list.  If found is false then</a>
+<a name="104"><span class="lineNum">     104 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="105"><span class="lineNum">     105 </span>            :     //    X [pleft+1 ... p_end-1] &gt; Pivot holds.</a>
+<a name="106"><span class="lineNum">     106 </span>            :     //    The value X [pleft] may be either &lt; or &gt; Pivot.</a>
+<a name="107"><span class="lineNum">     107 </span><span class="lineCov">        196 :     bool found = (pleft == pright) &amp;&amp; LG_eq_2 (X_0, X_1, pleft,</span></a>
+<a name="108"><span class="lineNum">     108 </span>            :                                                Y_0, Y_1, pivot) ;</a>
+<a name="109"><span class="lineNum">     109 </span>            : </a>
+<a name="110"><span class="lineNum">     110 </span>            :     // Modify pleft and pright:</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        196 :     if (!found &amp;&amp; (pleft == pright))</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :     {</a>
+<a name="113"><span class="lineNum">     113 </span><span class="lineCov">        100 :         if (LG_lt_2 (X_0, X_1, pleft,</span></a>
+<a name="114"><span class="lineNum">     114 </span>            :                      Y_0, Y_1, pivot))</a>
+<a name="115"><span class="lineNum">     115 </span>            :         {</a>
+<a name="116"><span class="lineNum">     116 </span><span class="lineCov">          2 :             pleft++ ;</span></a>
+<a name="117"><span class="lineNum">     117 </span>            :         }</a>
+<a name="118"><span class="lineNum">     118 </span>            :         else</a>
+<a name="119"><span class="lineNum">     119 </span>            :         {</a>
+<a name="120"><span class="lineNum">     120 </span>            : //          pright++ ;  // (not needed)</a>
+<a name="121"><span class="lineNum">     121 </span>            :         }</a>
+<a name="122"><span class="lineNum">     122 </span>            :     }</a>
+<a name="123"><span class="lineNum">     123 </span>            : </a>
+<a name="124"><span class="lineNum">     124 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="125"><span class="lineNum">     125 </span>            :     // return result</a>
+<a name="126"><span class="lineNum">     126 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            :     // If found is false then</a>
+<a name="129"><span class="lineNum">     129 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="130"><span class="lineNum">     130 </span>            :     //    X [pleft ... p_end-1] &gt; Pivot holds,</a>
+<a name="131"><span class="lineNum">     131 </span>            :     //    and pleft-1 == pright</a>
+<a name="132"><span class="lineNum">     132 </span>            : </a>
+<a name="133"><span class="lineNum">     133 </span>            :     // If X has no duplicates, then whether or not Pivot is found,</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="135"><span class="lineNum">     135 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :     // If X has duplicates, then whether or not Pivot is found,</a>
+<a name="138"><span class="lineNum">     138 </span>            :     //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="139"><span class="lineNum">     139 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span><span class="lineCov">        196 :     return (pleft) ;</span></a>
+<a name="142"><span class="lineNum">     142 </span>            : }</a>
+<a name="143"><span class="lineNum">     143 </span>            : </a>
+<a name="144"><span class="lineNum">     144 </span>            : //------------------------------------------------------------------------------</a>
+<a name="145"><span class="lineNum">     145 </span>            : // LG_msort_2b_create_merge_tasks</a>
+<a name="146"><span class="lineNum">     146 </span>            : //------------------------------------------------------------------------------</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            : // Recursively constructs ntasks tasks to merge two arrays, Left and Right,</a>
+<a name="149"><span class="lineNum">     149 </span>            : // into Sresult, where Left is L [pL_start...pL_end-1], Right is R</a>
+<a name="150"><span class="lineNum">     150 </span>            : // [pR_start...pR_end-1], and Sresult is S [pS_start...pS_start+total_work-1],</a>
+<a name="151"><span class="lineNum">     151 </span>            : // and where total_work is the total size of Left and Right.</a>
+<a name="152"><span class="lineNum">     152 </span>            : //</a>
+<a name="153"><span class="lineNum">     153 </span>            : // Task tid will merge L [L_task [tid] ... L_task [tid] + L_len [tid] - 1] and</a>
+<a name="154"><span class="lineNum">     154 </span>            : // R [R_task [tid] ... R_task [tid] + R_len [tid] -1] into the merged output</a>
+<a name="155"><span class="lineNum">     155 </span>            : // array S [S_task [tid] ... ].  The task tids created are t0 to</a>
+<a name="156"><span class="lineNum">     156 </span>            : // t0+ntasks-1.</a>
+<a name="157"><span class="lineNum">     157 </span>            : </a>
+<a name="158"><span class="lineNum">     158 </span><span class="lineCov">        452 : void LG_msort_2b_create_merge_tasks</span></a>
+<a name="159"><span class="lineNum">     159 </span>            : (</a>
+<a name="160"><span class="lineNum">     160 </span>            :     // output:</a>
+<a name="161"><span class="lineNum">     161 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="162"><span class="lineNum">     162 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="163"><span class="lineNum">     163 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="164"><span class="lineNum">     164 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="165"><span class="lineNum">     165 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="166"><span class="lineNum">     166 </span>            :     // input:</a>
+<a name="167"><span class="lineNum">     167 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="168"><span class="lineNum">     168 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="169"><span class="lineNum">     169 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="170"><span class="lineNum">     170 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="171"><span class="lineNum">     171 </span>            :     const int64_t *LG_RESTRICT L_1,</a>
+<a name="172"><span class="lineNum">     172 </span>            :     const int64_t pL_start,</a>
+<a name="173"><span class="lineNum">     173 </span>            :     const int64_t pL_end,</a>
+<a name="174"><span class="lineNum">     174 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="175"><span class="lineNum">     175 </span>            :     const int64_t *LG_RESTRICT R_1,</a>
+<a name="176"><span class="lineNum">     176 </span>            :     const int64_t pR_start,</a>
+<a name="177"><span class="lineNum">     177 </span>            :     const int64_t pR_end</a>
+<a name="178"><span class="lineNum">     178 </span>            : )</a>
+<a name="179"><span class="lineNum">     179 </span>            : {</a>
+<a name="180"><span class="lineNum">     180 </span>            : </a>
+<a name="181"><span class="lineNum">     181 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="182"><span class="lineNum">     182 </span>            :     // get problem size</a>
+<a name="183"><span class="lineNum">     183 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="184"><span class="lineNum">     184 </span>            : </a>
+<a name="185"><span class="lineNum">     185 </span><span class="lineCov">        452 :     int64_t nleft  = pL_end - pL_start ;        // size of Left array</span></a>
+<a name="186"><span class="lineNum">     186 </span><span class="lineCov">        452 :     int64_t nright = pR_end - pR_start ;        // size of Right array</span></a>
+<a name="187"><span class="lineNum">     187 </span><span class="lineCov">        452 :     int64_t total_work = nleft + nright ;       // total work to do</span></a>
+<a name="188"><span class="lineNum">     188 </span>            :     ASSERT (ntasks &gt;= 1) ;</a>
+<a name="189"><span class="lineNum">     189 </span>            :     ASSERT (total_work &gt; 0) ;</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="192"><span class="lineNum">     192 </span>            :     // create the tasks</a>
+<a name="193"><span class="lineNum">     193 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="194"><span class="lineNum">     194 </span>            : </a>
+<a name="195"><span class="lineNum">     195 </span><span class="lineCov">        452 :     if (ntasks == 1)</span></a>
+<a name="196"><span class="lineNum">     196 </span>            :     {</a>
+<a name="197"><span class="lineNum">     197 </span>            : </a>
+<a name="198"><span class="lineNum">     198 </span>            :         //----------------------------------------------------------------------</a>
+<a name="199"><span class="lineNum">     199 </span>            :         // a single task will merge all of Left and Right into Sresult</a>
+<a name="200"><span class="lineNum">     200 </span>            :         //----------------------------------------------------------------------</a>
+<a name="201"><span class="lineNum">     201 </span>            : </a>
+<a name="202"><span class="lineNum">     202 </span><span class="lineCov">        256 :         L_task [t0] = pL_start ; L_len [t0] = nleft ;</span></a>
+<a name="203"><span class="lineNum">     203 </span><span class="lineCov">        256 :         R_task [t0] = pR_start ; R_len [t0] = nright ;</span></a>
+<a name="204"><span class="lineNum">     204 </span><span class="lineCov">        256 :         S_task [t0] = pS_start ;</span></a>
+<a name="205"><span class="lineNum">     205 </span>            : </a>
+<a name="206"><span class="lineNum">     206 </span>            :     }</a>
+<a name="207"><span class="lineNum">     207 </span>            :     else</a>
+<a name="208"><span class="lineNum">     208 </span>            :     {</a>
+<a name="209"><span class="lineNum">     209 </span>            : </a>
+<a name="210"><span class="lineNum">     210 </span>            :         //----------------------------------------------------------------------</a>
+<a name="211"><span class="lineNum">     211 </span>            :         // partition the Left and Right arrays for multiple merge tasks</a>
+<a name="212"><span class="lineNum">     212 </span>            :         //----------------------------------------------------------------------</a>
+<a name="213"><span class="lineNum">     213 </span>            : </a>
+<a name="214"><span class="lineNum">     214 </span>            :         int64_t pleft, pright ;</a>
+<a name="215"><span class="lineNum">     215 </span><span class="lineCov">        196 :         if (nleft &gt;= nright)</span></a>
+<a name="216"><span class="lineNum">     216 </span>            :         {</a>
+<a name="217"><span class="lineNum">     217 </span>            :             // split Left in half, and search for its pivot in Right</a>
+<a name="218"><span class="lineNum">     218 </span><span class="lineCov">        134 :             pleft = (pL_end + pL_start) &gt;&gt; 1 ;</span></a>
+<a name="219"><span class="lineNum">     219 </span><span class="lineCov">        134 :             pright = LG_msort_2b_binary_search (</span></a>
+<a name="220"><span class="lineNum">     220 </span>            :                         L_0, L_1, pleft,</a>
+<a name="221"><span class="lineNum">     221 </span>            :                         R_0, R_1, pR_start, pR_end) ;</a>
+<a name="222"><span class="lineNum">     222 </span>            :         }</a>
+<a name="223"><span class="lineNum">     223 </span>            :         else</a>
+<a name="224"><span class="lineNum">     224 </span>            :         {</a>
+<a name="225"><span class="lineNum">     225 </span>            :             // split Right in half, and search for its pivot in Left</a>
+<a name="226"><span class="lineNum">     226 </span><span class="lineCov">         62 :             pright = (pR_end + pR_start) &gt;&gt; 1 ;</span></a>
+<a name="227"><span class="lineNum">     227 </span><span class="lineCov">         62 :             pleft = LG_msort_2b_binary_search (</span></a>
+<a name="228"><span class="lineNum">     228 </span>            :                         R_0, R_1, pright,</a>
+<a name="229"><span class="lineNum">     229 </span>            :                         L_0, L_1, pL_start, pL_end) ;</a>
+<a name="230"><span class="lineNum">     230 </span>            :         }</a>
+<a name="231"><span class="lineNum">     231 </span>            : </a>
+<a name="232"><span class="lineNum">     232 </span>            :         //----------------------------------------------------------------------</a>
+<a name="233"><span class="lineNum">     233 </span>            :         // partition the tasks according to the work of each partition</a>
+<a name="234"><span class="lineNum">     234 </span>            :         //----------------------------------------------------------------------</a>
+<a name="235"><span class="lineNum">     235 </span>            : </a>
+<a name="236"><span class="lineNum">     236 </span>            :         // work0 is the total work in the first partition</a>
+<a name="237"><span class="lineNum">     237 </span><span class="lineCov">        196 :         int64_t work0 = (pleft - pL_start) + (pright - pR_start) ;</span></a>
+<a name="238"><span class="lineNum">     238 </span><span class="lineCov">        196 :         int ntasks0 = (int) round ((double) ntasks *</span></a>
+<a name="239"><span class="lineNum">     239 </span><span class="lineCov">        196 :             (((double) work0) / ((double) total_work))) ;</span></a>
+<a name="240"><span class="lineNum">     240 </span>            : </a>
+<a name="241"><span class="lineNum">     241 </span>            :         // ensure at least one task is assigned to each partition</a>
+<a name="242"><span class="lineNum">     242 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MAX (ntasks0, 1) ;</span></a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MIN (ntasks0, ntasks-1) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">        196 :         int ntasks1 = ntasks - ntasks0 ;</span></a>
+<a name="245"><span class="lineNum">     245 </span>            : </a>
+<a name="246"><span class="lineNum">     246 </span>            :         //----------------------------------------------------------------------</a>
+<a name="247"><span class="lineNum">     247 </span>            :         // assign ntasks0 to the first half</a>
+<a name="248"><span class="lineNum">     248 </span>            :         //----------------------------------------------------------------------</a>
+<a name="249"><span class="lineNum">     249 </span>            : </a>
+<a name="250"><span class="lineNum">     250 </span>            :         // ntasks0 tasks merge L [pL_start...pleft-1] and R [pR_start..pright-1]</a>
+<a name="251"><span class="lineNum">     251 </span>            :         // into the result S [pS_start...work0-1].</a>
+<a name="252"><span class="lineNum">     252 </span>            : </a>
+<a name="253"><span class="lineNum">     253 </span><span class="lineCov">        196 :         LG_msort_2b_create_merge_tasks (</span></a>
+<a name="254"><span class="lineNum">     254 </span>            :             L_task, L_len, R_task, R_len, S_task, t0, ntasks0, pS_start,</a>
+<a name="255"><span class="lineNum">     255 </span>            :             L_0, L_1, pL_start, pleft,</a>
+<a name="256"><span class="lineNum">     256 </span>            :             R_0, R_1, pR_start, pright) ;</a>
+<a name="257"><span class="lineNum">     257 </span>            : </a>
+<a name="258"><span class="lineNum">     258 </span>            :         //----------------------------------------------------------------------</a>
+<a name="259"><span class="lineNum">     259 </span>            :         // assign ntasks1 to the second half</a>
+<a name="260"><span class="lineNum">     260 </span>            :         //----------------------------------------------------------------------</a>
+<a name="261"><span class="lineNum">     261 </span>            : </a>
+<a name="262"><span class="lineNum">     262 </span>            :         // ntasks1 tasks merge L [pleft...pL_end-1] and R [pright...pR_end-1]</a>
+<a name="263"><span class="lineNum">     263 </span>            :         // into the result S [pS_start+work0...pS_start+total_work].</a>
+<a name="264"><span class="lineNum">     264 </span>            : </a>
+<a name="265"><span class="lineNum">     265 </span><span class="lineCov">        196 :         int t1 = t0 + ntasks0 ;     // first task id of the second set of tasks</span></a>
+<a name="266"><span class="lineNum">     266 </span><span class="lineCov">        196 :         int64_t pS_start1 = pS_start + work0 ;  // 2nd set starts here in S</span></a>
+<a name="267"><span class="lineNum">     267 </span><span class="lineCov">        196 :         LG_msort_2b_create_merge_tasks (</span></a>
+<a name="268"><span class="lineNum">     268 </span>            :             L_task, L_len, R_task, R_len, S_task, t1, ntasks1, pS_start1,</a>
+<a name="269"><span class="lineNum">     269 </span>            :             L_0, L_1, pleft,  pL_end,</a>
+<a name="270"><span class="lineNum">     270 </span>            :             R_0, R_1, pright, pR_end) ;</a>
+<a name="271"><span class="lineNum">     271 </span>            :     }</a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        452 : }</span></a>
+<a name="273"><span class="lineNum">     273 </span>            : </a>
+<a name="274"><span class="lineNum">     274 </span>            : //------------------------------------------------------------------------------</a>
+<a name="275"><span class="lineNum">     275 </span>            : // LG_msort_2b_merge: merge two sorted lists via a single thread</a>
+<a name="276"><span class="lineNum">     276 </span>            : //------------------------------------------------------------------------------</a>
+<a name="277"><span class="lineNum">     277 </span>            : </a>
+<a name="278"><span class="lineNum">     278 </span>            : // merge Left [0..nleft-1] and Right [0..nright-1] into S [0..nleft+nright-1] */</a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span><span class="lineCov">        256 : static void LG_msort_2b_merge</span></a>
+<a name="281"><span class="lineNum">     281 </span>            : (</a>
+<a name="282"><span class="lineNum">     282 </span>            :     int64_t *LG_RESTRICT S_0,              // output of length nleft + nright</a>
+<a name="283"><span class="lineNum">     283 </span>            :     int64_t *LG_RESTRICT S_1,</a>
+<a name="284"><span class="lineNum">     284 </span>            :     const int64_t *LG_RESTRICT Left_0,     // left input of length nleft</a>
+<a name="285"><span class="lineNum">     285 </span>            :     const int64_t *LG_RESTRICT Left_1,</a>
+<a name="286"><span class="lineNum">     286 </span>            :     const int64_t nleft,</a>
+<a name="287"><span class="lineNum">     287 </span>            :     const int64_t *LG_RESTRICT Right_0,    // right input of length nright</a>
+<a name="288"><span class="lineNum">     288 </span>            :     const int64_t *LG_RESTRICT Right_1,</a>
+<a name="289"><span class="lineNum">     289 </span>            :     const int64_t nright</a>
+<a name="290"><span class="lineNum">     290 </span>            : )</a>
+<a name="291"><span class="lineNum">     291 </span>            : {</a>
+<a name="292"><span class="lineNum">     292 </span>            :     int64_t p, pleft, pright ;</a>
+<a name="293"><span class="lineNum">     293 </span>            : </a>
+<a name="294"><span class="lineNum">     294 </span>            :     // merge the two inputs, Left and Right, while both inputs exist</a>
+<a name="295"><span class="lineNum">     295 </span><span class="lineCov">    3005622 :     for (p = 0, pleft = 0, pright = 0 ; pleft &lt; nleft &amp;&amp; pright &lt; nright ; p++)</span></a>
+<a name="296"><span class="lineNum">     296 </span>            :     {</a>
+<a name="297"><span class="lineNum">     297 </span><span class="lineCov">    3005366 :         if (LG_lt_2 (Left_0,  Left_1,  pleft,</span></a>
+<a name="298"><span class="lineNum">     298 </span>            :                      Right_0, Right_1, pright))</a>
+<a name="299"><span class="lineNum">     299 </span>            :         {</a>
+<a name="300"><span class="lineNum">     300 </span>            :             // S [p] = Left [pleft++]</a>
+<a name="301"><span class="lineNum">     301 </span><span class="lineCov">    1196304 :             S_0 [p] = Left_0 [pleft] ;</span></a>
+<a name="302"><span class="lineNum">     302 </span><span class="lineCov">    1196304 :             S_1 [p] = Left_1 [pleft] ;</span></a>
+<a name="303"><span class="lineNum">     303 </span><span class="lineCov">    1196304 :             pleft++ ;</span></a>
+<a name="304"><span class="lineNum">     304 </span>            :         }</a>
+<a name="305"><span class="lineNum">     305 </span>            :         else</a>
+<a name="306"><span class="lineNum">     306 </span>            :         {</a>
+<a name="307"><span class="lineNum">     307 </span>            :             // S [p] = Right [pright++]</a>
+<a name="308"><span class="lineNum">     308 </span><span class="lineCov">    1809062 :             S_0 [p] = Right_0 [pright] ;</span></a>
+<a name="309"><span class="lineNum">     309 </span><span class="lineCov">    1809062 :             S_1 [p] = Right_1 [pright] ;</span></a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">    1809062 :             pright++ ;</span></a>
+<a name="311"><span class="lineNum">     311 </span>            :         }</a>
+<a name="312"><span class="lineNum">     312 </span>            :     }</a>
+<a name="313"><span class="lineNum">     313 </span>            : </a>
+<a name="314"><span class="lineNum">     314 </span>            :     // either input is exhausted; copy the remaining list into S</a>
+<a name="315"><span class="lineNum">     315 </span><span class="lineCov">        256 :     if (pleft &lt; nleft)</span></a>
+<a name="316"><span class="lineNum">     316 </span>            :     {</a>
+<a name="317"><span class="lineNum">     317 </span><span class="lineCov">        170 :         int64_t nremaining = (nleft - pleft) ;</span></a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">        170 :         memcpy (S_0 + p, Left_0 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">        170 :         memcpy (S_1 + p, Left_1 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="320"><span class="lineNum">     320 </span>            :     }</a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">         86 :     else if (pright &lt; nright)</span></a>
+<a name="322"><span class="lineNum">     322 </span>            :     {</a>
+<a name="323"><span class="lineNum">     323 </span><span class="lineCov">         86 :         int64_t nremaining = (nright - pright) ;</span></a>
+<a name="324"><span class="lineNum">     324 </span><span class="lineCov">         86 :         memcpy (S_0 + p, Right_0 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="325"><span class="lineNum">     325 </span><span class="lineCov">         86 :         memcpy (S_1 + p, Right_1 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="326"><span class="lineNum">     326 </span>            :     }</a>
+<a name="327"><span class="lineNum">     327 </span><span class="lineCov">        256 : }</span></a>
+<a name="328"><span class="lineNum">     328 </span>            : </a>
+<a name="329"><span class="lineNum">     329 </span>            : //------------------------------------------------------------------------------</a>
+<a name="330"><span class="lineNum">     330 </span>            : // LG_msort2: parallel mergesort</a>
+<a name="331"><span class="lineNum">     331 </span>            : //------------------------------------------------------------------------------</a>
+<a name="332"><span class="lineNum">     332 </span>            : </a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">       1663 : int LG_msort2</span></a>
+<a name="334"><span class="lineNum">     334 </span>            : (</a>
+<a name="335"><span class="lineNum">     335 </span>            :     // input/output:</a>
+<a name="336"><span class="lineNum">     336 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="337"><span class="lineNum">     337 </span>            :     int64_t *A_1,       // size n array</a>
+<a name="338"><span class="lineNum">     338 </span>            :     // input:</a>
+<a name="339"><span class="lineNum">     339 </span>            :     const int64_t n,</a>
+<a name="340"><span class="lineNum">     340 </span>            :     char *msg</a>
+<a name="341"><span class="lineNum">     341 </span>            : )</a>
+<a name="342"><span class="lineNum">     342 </span>            : {</a>
+<a name="343"><span class="lineNum">     343 </span>            : </a>
+<a name="344"><span class="lineNum">     344 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="345"><span class="lineNum">     345 </span>            :     // check inputs</a>
+<a name="346"><span class="lineNum">     346 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="347"><span class="lineNum">     347 </span>            : </a>
+<a name="348"><span class="lineNum">     348 </span><span class="lineCov">       1663 :     LG_CLEAR_MSG ;</span></a>
+<a name="349"><span class="lineNum">     349 </span><span class="lineCov">       1663 :     int64_t *LG_RESTRICT W = NULL ;</span></a>
+<a name="350"><span class="lineNum">     350 </span><span class="lineCov">       1663 :     LG_ASSERT (A_0 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="351"><span class="lineNum">     351 </span><span class="lineCov">       1663 :     LG_ASSERT (A_1 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="352"><span class="lineNum">     352 </span>            : </a>
+<a name="353"><span class="lineNum">     353 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="354"><span class="lineNum">     354 </span>            :     // handle small problems with a single thread</a>
+<a name="355"><span class="lineNum">     355 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="356"><span class="lineNum">     356 </span>            : </a>
+<a name="357"><span class="lineNum">     357 </span><span class="lineCov">       1663 :     int nthreads = LG_nthreads_outer * LG_nthreads_inner ; // # threads to use</span></a>
+<a name="358"><span class="lineNum">     358 </span><span class="lineCov">       1663 :     if (nthreads &lt;= 1 || n &lt;= LG_BASECASE)</span></a>
+<a name="359"><span class="lineNum">     359 </span>            :     {</a>
+<a name="360"><span class="lineNum">     360 </span>            :         // sequential quicksort</a>
+<a name="361"><span class="lineNum">     361 </span><span class="lineCov">       1657 :         LG_qsort_2 (A_0, A_1, n) ;</span></a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">       1657 :         return (GrB_SUCCESS) ;</span></a>
+<a name="363"><span class="lineNum">     363 </span>            :     }</a>
+<a name="364"><span class="lineNum">     364 </span>            : </a>
+<a name="365"><span class="lineNum">     365 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="366"><span class="lineNum">     366 </span>            :     // determine # of tasks</a>
+<a name="367"><span class="lineNum">     367 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="368"><span class="lineNum">     368 </span>            : </a>
+<a name="369"><span class="lineNum">     369 </span>            :     // determine the number of levels to create, which must always be an</a>
+<a name="370"><span class="lineNum">     370 </span>            :     // even number.  The # of levels is chosen to ensure that the # of leaves</a>
+<a name="371"><span class="lineNum">     371 </span>            :     // of the task tree is between 4*nthreads and 16*nthreads.</a>
+<a name="372"><span class="lineNum">     372 </span>            : </a>
+<a name="373"><span class="lineNum">     373 </span>            :     //  2 to 4 threads:     4 levels, 16 qsort leaves</a>
+<a name="374"><span class="lineNum">     374 </span>            :     //  5 to 16 threads:    6 levels, 64 qsort leaves</a>
+<a name="375"><span class="lineNum">     375 </span>            :     // 17 to 64 threads:    8 levels, 256 qsort leaves</a>
+<a name="376"><span class="lineNum">     376 </span>            :     // 65 to 256 threads:   10 levels, 1024 qsort leaves</a>
+<a name="377"><span class="lineNum">     377 </span>            :     // 256 to 1024 threads: 12 levels, 4096 qsort leaves</a>
+<a name="378"><span class="lineNum">     378 </span>            :     // ...</a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span><span class="lineCov">          6 :     int k = (int) (2 + 2 * ceil (log2 ((double) nthreads) / 2)) ;</span></a>
+<a name="381"><span class="lineNum">     381 </span><span class="lineCov">          6 :     int ntasks = 1 &lt;&lt; k ;</span></a>
+<a name="382"><span class="lineNum">     382 </span>            : </a>
+<a name="383"><span class="lineNum">     383 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="384"><span class="lineNum">     384 </span>            :     // allocate workspace</a>
+<a name="385"><span class="lineNum">     385 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="386"><span class="lineNum">     386 </span>            : </a>
+<a name="387"><span class="lineNum">     387 </span><span class="lineCov">          6 :     LG_TRY (LAGraph_Malloc ((void **) &amp;W, 2*n + 6*ntasks + 1, sizeof (int64_t),</span></a>
+<a name="388"><span class="lineNum">     388 </span>            :         msg)) ;</a>
+<a name="389"><span class="lineNum">     389 </span>            : </a>
+<a name="390"><span class="lineNum">     390 </span><span class="lineCov">          4 :     int64_t *T = W ;</span></a>
+<a name="391"><span class="lineNum">     391 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_0    = T ; T += n ;</span></a>
+<a name="392"><span class="lineNum">     392 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_1    = T ; T += n ;</span></a>
+<a name="393"><span class="lineNum">     393 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_task = T ; T += ntasks ;</span></a>
+<a name="394"><span class="lineNum">     394 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_len  = T ; T += ntasks ;</span></a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_task = T ; T += ntasks ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_len  = T ; T += ntasks ;</span></a>
+<a name="397"><span class="lineNum">     397 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT S_task = T ; T += ntasks ;</span></a>
+<a name="398"><span class="lineNum">     398 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT Slice  = T ; T += (ntasks+1) ;</span></a>
+<a name="399"><span class="lineNum">     399 </span>            : </a>
+<a name="400"><span class="lineNum">     400 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="401"><span class="lineNum">     401 </span>            :     // partition and sort the leaves</a>
+<a name="402"><span class="lineNum">     402 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="403"><span class="lineNum">     403 </span>            : </a>
+<a name="404"><span class="lineNum">     404 </span><span class="lineCov">          4 :     LG_eslice (Slice, n, ntasks) ;</span></a>
+<a name="405"><span class="lineNum">     405 </span>            :     int tid ;</a>
+<a name="406"><span class="lineNum">     406 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">         68 :     for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="408"><span class="lineNum">     408 </span>            :     {</a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">         64 :         int64_t leaf = Slice [tid] ;</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">         64 :         int64_t leafsize = Slice [tid+1] - leaf ;</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">         64 :         LG_qsort_2 (A_0 + leaf, A_1 + leaf, leafsize) ;</span></a>
+<a name="412"><span class="lineNum">     412 </span>            :     }</a>
+<a name="413"><span class="lineNum">     413 </span>            : </a>
+<a name="414"><span class="lineNum">     414 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="415"><span class="lineNum">     415 </span>            :     // merge each level</a>
+<a name="416"><span class="lineNum">     416 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="417"><span class="lineNum">     417 </span>            : </a>
+<a name="418"><span class="lineNum">     418 </span><span class="lineCov">          4 :     int nt = 1 ;</span></a>
+<a name="419"><span class="lineNum">     419 </span><span class="lineCov">         12 :     for ( ; k &gt;= 2 ; k -= 2)</span></a>
+<a name="420"><span class="lineNum">     420 </span>            :     {</a>
+<a name="421"><span class="lineNum">     421 </span>            : </a>
+<a name="422"><span class="lineNum">     422 </span>            :         //----------------------------------------------------------------------</a>
+<a name="423"><span class="lineNum">     423 </span>            :         // merge level k into level k-1, from A into W</a>
+<a name="424"><span class="lineNum">     424 </span>            :         //----------------------------------------------------------------------</a>
+<a name="425"><span class="lineNum">     425 </span>            : </a>
+<a name="426"><span class="lineNum">     426 </span>            :         // FUTURE: skip k and k-1 for each group of 4 sublists of A if they are</a>
+<a name="427"><span class="lineNum">     427 </span>            :         // already sorted with respect to each other.</a>
+<a name="428"><span class="lineNum">     428 </span>            : </a>
+<a name="429"><span class="lineNum">     429 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="430"><span class="lineNum">     430 </span><span class="lineCov">         48 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="431"><span class="lineNum">     431 </span>            :         {</a>
+<a name="432"><span class="lineNum">     432 </span>            :             // create 2*nt tasks to merge two A sublists into one W sublist</a>
+<a name="433"><span class="lineNum">     433 </span><span class="lineCov">         40 :             LG_msort_2b_create_merge_tasks (</span></a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">         40 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="435"><span class="lineNum">     435 </span><span class="lineCov">         40 :                 A_0, A_1, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="436"><span class="lineNum">     436 </span><span class="lineCov">         40 :                 A_0, A_1, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="437"><span class="lineNum">     437 </span>            :         }</a>
+<a name="438"><span class="lineNum">     438 </span>            : </a>
+<a name="439"><span class="lineNum">     439 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="440"><span class="lineNum">     440 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="441"><span class="lineNum">     441 </span>            :         {</a>
+<a name="442"><span class="lineNum">     442 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="444"><span class="lineNum">     444 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="445"><span class="lineNum">     445 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="446"><span class="lineNum">     446 </span>            : </a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">        128 :             LG_msort_2b_merge (</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">        128 :                 W_0 + pS, W_1 + pS,</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">        128 :                 A_0 + pL, A_1 + pL, nL,</span></a>
+<a name="450"><span class="lineNum">     450 </span><span class="lineCov">        128 :                 A_0 + pR, A_1 + pR, nR) ;</span></a>
+<a name="451"><span class="lineNum">     451 </span>            :         }</a>
+<a name="452"><span class="lineNum">     452 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="453"><span class="lineNum">     453 </span>            : </a>
+<a name="454"><span class="lineNum">     454 </span>            :         //----------------------------------------------------------------------</a>
+<a name="455"><span class="lineNum">     455 </span>            :         // merge level k-1 into level k-2, from W into A</a>
+<a name="456"><span class="lineNum">     456 </span>            :         //----------------------------------------------------------------------</a>
+<a name="457"><span class="lineNum">     457 </span>            : </a>
+<a name="458"><span class="lineNum">     458 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="459"><span class="lineNum">     459 </span><span class="lineCov">         28 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="460"><span class="lineNum">     460 </span>            :         {</a>
+<a name="461"><span class="lineNum">     461 </span>            :             // create 2*nt tasks to merge two W sublists into one A sublist</a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">         20 :             LG_msort_2b_create_merge_tasks (</span></a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">         20 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="464"><span class="lineNum">     464 </span><span class="lineCov">         20 :                 W_0, W_1, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">         20 :                 W_0, W_1, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="466"><span class="lineNum">     466 </span>            :         }</a>
+<a name="467"><span class="lineNum">     467 </span>            : </a>
+<a name="468"><span class="lineNum">     468 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="469"><span class="lineNum">     469 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="470"><span class="lineNum">     470 </span>            :         {</a>
+<a name="471"><span class="lineNum">     471 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="473"><span class="lineNum">     473 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="474"><span class="lineNum">     474 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">        128 :             LG_msort_2b_merge (</span></a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">        128 :                 A_0 + pS, A_1 + pS,</span></a>
+<a name="477"><span class="lineNum">     477 </span><span class="lineCov">        128 :                 W_0 + pL, W_1 + pL, nL,</span></a>
+<a name="478"><span class="lineNum">     478 </span><span class="lineCov">        128 :                 W_0 + pR, W_1 + pR, nR) ;</span></a>
+<a name="479"><span class="lineNum">     479 </span>            :         }</a>
+<a name="480"><span class="lineNum">     480 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="481"><span class="lineNum">     481 </span>            :     }</a>
+<a name="482"><span class="lineNum">     482 </span>            : </a>
+<a name="483"><span class="lineNum">     483 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="484"><span class="lineNum">     484 </span>            :     // free workspace and return result</a>
+<a name="485"><span class="lineNum">     485 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="486"><span class="lineNum">     486 </span>            : </a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">          4 :     LG_FREE_ALL ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">          4 :     return (GrB_SUCCESS) ;</span></a>
+<a name="489"><span class="lineNum">     489 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort3.c.func-sort-c.html b/src/utility/LG_msort3.c.func-sort-c.html
new file mode 100644
index 0000000000..13736c9334
--- /dev/null
+++ b/src/utility/LG_msort3.c.func-sort-c.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort3.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort3.c<span style="font-size: 80%;"> (<a href="LG_msort3.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_msort3.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#344">LG_msort3</a></td>
+              <td class="coverFnHi">111</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#68">LG_msort_3b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#284">LG_msort_3b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#160">LG_msort_3b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort3.c.func.html b/src/utility/LG_msort3.c.func.html
new file mode 100644
index 0000000000..f11ef25cda
--- /dev/null
+++ b/src/utility/LG_msort3.c.func.html
@@ -0,0 +1,88 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort3.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort3.c<span style="font-size: 80%;"> (<a href="LG_msort3.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_msort3.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#344">LG_msort3</a></td>
+              <td class="coverFnHi">111</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#68">LG_msort_3b_binary_search</a></td>
+              <td class="coverFnHi">196</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#160">LG_msort_3b_create_merge_tasks</a></td>
+              <td class="coverFnHi">452</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_msort3.c.gcov.html#284">LG_msort_3b_merge</a></td>
+              <td class="coverFnHi">256</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_msort3.c.gcov.html b/src/utility/LG_msort3.c.gcov.html
new file mode 100644
index 0000000000..3f91836e59
--- /dev/null
+++ b/src/utility/LG_msort3.c.gcov.html
@@ -0,0 +1,578 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_msort3.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_msort3.c<span style="font-size: 80%;"> (source / <a href="LG_msort3.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntry">119</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_msort3: sort a 3-by-n list of integers, using A[0:2][ ] as the key</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // A parallel mergesort of an array of 3-by-n integers.  Each key</a>
+<a name="19"><span class="lineNum">      19 </span>            : // consists of three integers.</a>
+<a name="20"><span class="lineNum">      20 </span>            : </a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_FREE_ALL LAGraph_Free ((void **) &amp;W, NULL) ;</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : //------------------------------------------------------------------------------</a>
+<a name="26"><span class="lineNum">      26 </span>            : // prototype only needed for LG_msort3</a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : </a>
+<a name="29"><span class="lineNum">      29 </span>            : void LG_msort_3b_create_merge_tasks</a>
+<a name="30"><span class="lineNum">      30 </span>            : (</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // output:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="33"><span class="lineNum">      33 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="35"><span class="lineNum">      35 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="36"><span class="lineNum">      36 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="37"><span class="lineNum">      37 </span>            :     // input:</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="39"><span class="lineNum">      39 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="40"><span class="lineNum">      40 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="41"><span class="lineNum">      41 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="42"><span class="lineNum">      42 </span>            :     const int64_t *LG_RESTRICT L_1,</a>
+<a name="43"><span class="lineNum">      43 </span>            :     const int64_t *LG_RESTRICT L_2,</a>
+<a name="44"><span class="lineNum">      44 </span>            :     const int64_t pL_start,</a>
+<a name="45"><span class="lineNum">      45 </span>            :     const int64_t pL_end,</a>
+<a name="46"><span class="lineNum">      46 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="47"><span class="lineNum">      47 </span>            :     const int64_t *LG_RESTRICT R_1,</a>
+<a name="48"><span class="lineNum">      48 </span>            :     const int64_t *LG_RESTRICT R_2,</a>
+<a name="49"><span class="lineNum">      49 </span>            :     const int64_t pR_start,</a>
+<a name="50"><span class="lineNum">      50 </span>            :     const int64_t pR_end</a>
+<a name="51"><span class="lineNum">      51 </span>            : ) ;</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            : //------------------------------------------------------------------------------</a>
+<a name="54"><span class="lineNum">      54 </span>            : // LG_msort_3b_binary_search: binary search for the pivot</a>
+<a name="55"><span class="lineNum">      55 </span>            : //------------------------------------------------------------------------------</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            : // The Pivot value is Y [pivot], and a binary search for the Pivot is made in</a>
+<a name="58"><span class="lineNum">      58 </span>            : // the array X [p_pstart...p_end-1], which is sorted in non-decreasing order on</a>
+<a name="59"><span class="lineNum">      59 </span>            : // input.  The return value is pleft, where</a>
+<a name="60"><span class="lineNum">      60 </span>            : //</a>
+<a name="61"><span class="lineNum">      61 </span>            : //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="62"><span class="lineNum">      62 </span>            : //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="63"><span class="lineNum">      63 </span>            : //</a>
+<a name="64"><span class="lineNum">      64 </span>            : // pleft is returned in the range p_start to p_end.  If pleft is p_start, then</a>
+<a name="65"><span class="lineNum">      65 </span>            : // the Pivot is smaller than all entries in X [p_start...p_end-1], and the left</a>
+<a name="66"><span class="lineNum">      66 </span>            : // list X [p_start...pleft-1] is empty.  If pleft is p_end, then the Pivot is</a>
+<a name="67"><span class="lineNum">      67 </span>            : // larger than all entries in X [p_start...p_end-1], and the right list X</a>
+<a name="68"><span class="lineNum">      68 </span>            : // [pleft...p_end-1] is empty.</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span><span class="lineCov">        196 : static int64_t LG_msort_3b_binary_search    // return pleft</span></a>
+<a name="71"><span class="lineNum">      71 </span>            : (</a>
+<a name="72"><span class="lineNum">      72 </span>            :     const int64_t *LG_RESTRICT Y_0,         // Pivot is Y [pivot]</a>
+<a name="73"><span class="lineNum">      73 </span>            :     const int64_t *LG_RESTRICT Y_1,</a>
+<a name="74"><span class="lineNum">      74 </span>            :     const int64_t *LG_RESTRICT Y_2,</a>
+<a name="75"><span class="lineNum">      75 </span>            :     const int64_t pivot,</a>
+<a name="76"><span class="lineNum">      76 </span>            :     const int64_t *LG_RESTRICT X_0,         // search in X [p_start..p_end_-1]</a>
+<a name="77"><span class="lineNum">      77 </span>            :     const int64_t *LG_RESTRICT X_1,</a>
+<a name="78"><span class="lineNum">      78 </span>            :     const int64_t *LG_RESTRICT X_2,</a>
+<a name="79"><span class="lineNum">      79 </span>            :     const int64_t p_start,</a>
+<a name="80"><span class="lineNum">      80 </span>            :     const int64_t p_end</a>
+<a name="81"><span class="lineNum">      81 </span>            : )</a>
+<a name="82"><span class="lineNum">      82 </span>            : {</a>
+<a name="83"><span class="lineNum">      83 </span>            : </a>
+<a name="84"><span class="lineNum">      84 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="85"><span class="lineNum">      85 </span>            :     // find where the Pivot appears in X</a>
+<a name="86"><span class="lineNum">      86 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :     // binary search of X [p_start...p_end-1] for the Pivot</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        196 :     int64_t pleft = p_start ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        196 :     int64_t pright = p_end - 1 ;</span></a>
+<a name="91"><span class="lineNum">      91 </span><span class="lineCov">       3030 :     while (pleft &lt; pright)</span></a>
+<a name="92"><span class="lineNum">      92 </span>            :     {</a>
+<a name="93"><span class="lineNum">      93 </span><span class="lineCov">       2834 :         int64_t pmiddle = (pleft + pright) &gt;&gt; 1 ;</span></a>
+<a name="94"><span class="lineNum">      94 </span>            :         // less = (X [pmiddle] &lt; Pivot)</a>
+<a name="95"><span class="lineNum">      95 </span><span class="lineCov">       2834 :         bool less = LG_lt_3 (X_0, X_1, X_2, pmiddle,</span></a>
+<a name="96"><span class="lineNum">      96 </span>            :                              Y_0, Y_1, Y_2, pivot) ;</a>
+<a name="97"><span class="lineNum">      97 </span><span class="lineCov">       2834 :         pleft  = less ? (pmiddle+1) : pleft ;</span></a>
+<a name="98"><span class="lineNum">      98 </span><span class="lineCov">       2834 :         pright = less ? pright : pmiddle ;</span></a>
+<a name="99"><span class="lineNum">      99 </span>            :     }</a>
+<a name="100"><span class="lineNum">     100 </span>            : </a>
+<a name="101"><span class="lineNum">     101 </span>            :     // binary search is narrowed down to a single item</a>
+<a name="102"><span class="lineNum">     102 </span>            :     // or it has found the list is empty:</a>
+<a name="103"><span class="lineNum">     103 </span>            :     ASSERT (pleft == pright || pleft == pright + 1) ;</a>
+<a name="104"><span class="lineNum">     104 </span>            : </a>
+<a name="105"><span class="lineNum">     105 </span>            :     // If found is true then X [pleft == pright] == Pivot.  If duplicates</a>
+<a name="106"><span class="lineNum">     106 </span>            :     // appear then X [pleft] is any one of the entries equal to the Pivot</a>
+<a name="107"><span class="lineNum">     107 </span>            :     // in the list.  If found is false then</a>
+<a name="108"><span class="lineNum">     108 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="109"><span class="lineNum">     109 </span>            :     //    X [pleft+1 ... p_end-1] &gt; Pivot holds.</a>
+<a name="110"><span class="lineNum">     110 </span>            :     //    The value X [pleft] may be either &lt; or &gt; Pivot.</a>
+<a name="111"><span class="lineNum">     111 </span><span class="lineCov">        196 :     bool found = (pleft == pright) &amp;&amp; LG_eq_3 (X_0, X_1, X_2, pleft,</span></a>
+<a name="112"><span class="lineNum">     112 </span>            :                                                Y_0, Y_1, Y_2, pivot) ;</a>
+<a name="113"><span class="lineNum">     113 </span>            : </a>
+<a name="114"><span class="lineNum">     114 </span>            :     // Modify pleft and pright:</a>
+<a name="115"><span class="lineNum">     115 </span><span class="lineCov">        196 :     if (!found &amp;&amp; (pleft == pright))</span></a>
+<a name="116"><span class="lineNum">     116 </span>            :     {</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">        100 :         if (LG_lt_3 (X_0, X_1, X_2, pleft,</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :                      Y_0, Y_1, Y_2, pivot))</a>
+<a name="119"><span class="lineNum">     119 </span>            :         {</a>
+<a name="120"><span class="lineNum">     120 </span><span class="lineCov">          2 :             pleft++ ;</span></a>
+<a name="121"><span class="lineNum">     121 </span>            :         }</a>
+<a name="122"><span class="lineNum">     122 </span>            :         else</a>
+<a name="123"><span class="lineNum">     123 </span>            :         {</a>
+<a name="124"><span class="lineNum">     124 </span>            : //          pright++ ;  // (not needed)</a>
+<a name="125"><span class="lineNum">     125 </span>            :         }</a>
+<a name="126"><span class="lineNum">     126 </span>            :     }</a>
+<a name="127"><span class="lineNum">     127 </span>            : </a>
+<a name="128"><span class="lineNum">     128 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="129"><span class="lineNum">     129 </span>            :     // return result</a>
+<a name="130"><span class="lineNum">     130 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="131"><span class="lineNum">     131 </span>            : </a>
+<a name="132"><span class="lineNum">     132 </span>            :     // If found is false then</a>
+<a name="133"><span class="lineNum">     133 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="134"><span class="lineNum">     134 </span>            :     //    X [pleft ... p_end-1] &gt; Pivot holds,</a>
+<a name="135"><span class="lineNum">     135 </span>            :     //    and pleft-1 == pright</a>
+<a name="136"><span class="lineNum">     136 </span>            : </a>
+<a name="137"><span class="lineNum">     137 </span>            :     // If X has no duplicates, then whether or not Pivot is found,</a>
+<a name="138"><span class="lineNum">     138 </span>            :     //    X [p_start ... pleft-1] &lt; Pivot and</a>
+<a name="139"><span class="lineNum">     139 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="140"><span class="lineNum">     140 </span>            : </a>
+<a name="141"><span class="lineNum">     141 </span>            :     // If X has duplicates, then whether or not Pivot is found,</a>
+<a name="142"><span class="lineNum">     142 </span>            :     //    X [p_start ... pleft-1] &lt;= Pivot and</a>
+<a name="143"><span class="lineNum">     143 </span>            :     //    X [pleft ... p_end-1] &gt;= Pivot holds.</a>
+<a name="144"><span class="lineNum">     144 </span>            : </a>
+<a name="145"><span class="lineNum">     145 </span><span class="lineCov">        196 :     return (pleft) ;</span></a>
+<a name="146"><span class="lineNum">     146 </span>            : }</a>
+<a name="147"><span class="lineNum">     147 </span>            : </a>
+<a name="148"><span class="lineNum">     148 </span>            : //------------------------------------------------------------------------------</a>
+<a name="149"><span class="lineNum">     149 </span>            : // LG_msort_3b_create_merge_tasks</a>
+<a name="150"><span class="lineNum">     150 </span>            : //------------------------------------------------------------------------------</a>
+<a name="151"><span class="lineNum">     151 </span>            : </a>
+<a name="152"><span class="lineNum">     152 </span>            : // Recursively constructs ntasks tasks to merge two arrays, Left and Right,</a>
+<a name="153"><span class="lineNum">     153 </span>            : // into Sresult, where Left is L [pL_start...pL_end-1], Right is R</a>
+<a name="154"><span class="lineNum">     154 </span>            : // [pR_start...pR_end-1], and Sresult is S [pS_start...pS_start+total_work-1],</a>
+<a name="155"><span class="lineNum">     155 </span>            : // and where total_work is the total size of Left and Right.</a>
+<a name="156"><span class="lineNum">     156 </span>            : //</a>
+<a name="157"><span class="lineNum">     157 </span>            : // Task tid will merge L [L_task [tid] ... L_task [tid] + L_len [tid] - 1] and</a>
+<a name="158"><span class="lineNum">     158 </span>            : // R [R_task [tid] ... R_task [tid] + R_len [tid] -1] into the merged output</a>
+<a name="159"><span class="lineNum">     159 </span>            : // array S [S_task [tid] ... ].  The task tids created are t0 to</a>
+<a name="160"><span class="lineNum">     160 </span>            : // t0+ntasks-1.</a>
+<a name="161"><span class="lineNum">     161 </span>            : </a>
+<a name="162"><span class="lineNum">     162 </span><span class="lineCov">        452 : void LG_msort_3b_create_merge_tasks</span></a>
+<a name="163"><span class="lineNum">     163 </span>            : (</a>
+<a name="164"><span class="lineNum">     164 </span>            :     // output:</a>
+<a name="165"><span class="lineNum">     165 </span>            :     int64_t *LG_RESTRICT L_task,        // L_task [t0...t0+ntasks-1] computed</a>
+<a name="166"><span class="lineNum">     166 </span>            :     int64_t *LG_RESTRICT L_len,         // L_len  [t0...t0+ntasks-1] computed</a>
+<a name="167"><span class="lineNum">     167 </span>            :     int64_t *LG_RESTRICT R_task,        // R_task [t0...t0+ntasks-1] computed</a>
+<a name="168"><span class="lineNum">     168 </span>            :     int64_t *LG_RESTRICT R_len,         // R_len  [t0...t0+ntasks-1] computed</a>
+<a name="169"><span class="lineNum">     169 </span>            :     int64_t *LG_RESTRICT S_task,        // S_task [t0...t0+ntasks-1] computed</a>
+<a name="170"><span class="lineNum">     170 </span>            :     // input:</a>
+<a name="171"><span class="lineNum">     171 </span>            :     const int t0,                       // first task tid to create</a>
+<a name="172"><span class="lineNum">     172 </span>            :     const int ntasks,                   // # of tasks to create</a>
+<a name="173"><span class="lineNum">     173 </span>            :     const int64_t pS_start,             // merge into S [pS_start...]</a>
+<a name="174"><span class="lineNum">     174 </span>            :     const int64_t *LG_RESTRICT L_0,     // Left = L [pL_start...pL_end-1]</a>
+<a name="175"><span class="lineNum">     175 </span>            :     const int64_t *LG_RESTRICT L_1,</a>
+<a name="176"><span class="lineNum">     176 </span>            :     const int64_t *LG_RESTRICT L_2,</a>
+<a name="177"><span class="lineNum">     177 </span>            :     const int64_t pL_start,</a>
+<a name="178"><span class="lineNum">     178 </span>            :     const int64_t pL_end,</a>
+<a name="179"><span class="lineNum">     179 </span>            :     const int64_t *LG_RESTRICT R_0,     // Right = R [pR_start...pR_end-1]</a>
+<a name="180"><span class="lineNum">     180 </span>            :     const int64_t *LG_RESTRICT R_1,</a>
+<a name="181"><span class="lineNum">     181 </span>            :     const int64_t *LG_RESTRICT R_2,</a>
+<a name="182"><span class="lineNum">     182 </span>            :     const int64_t pR_start,</a>
+<a name="183"><span class="lineNum">     183 </span>            :     const int64_t pR_end</a>
+<a name="184"><span class="lineNum">     184 </span>            : )</a>
+<a name="185"><span class="lineNum">     185 </span>            : {</a>
+<a name="186"><span class="lineNum">     186 </span>            : </a>
+<a name="187"><span class="lineNum">     187 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="188"><span class="lineNum">     188 </span>            :     // get problem size</a>
+<a name="189"><span class="lineNum">     189 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="190"><span class="lineNum">     190 </span>            : </a>
+<a name="191"><span class="lineNum">     191 </span><span class="lineCov">        452 :     int64_t nleft  = pL_end - pL_start ;        // size of Left array</span></a>
+<a name="192"><span class="lineNum">     192 </span><span class="lineCov">        452 :     int64_t nright = pR_end - pR_start ;        // size of Right array</span></a>
+<a name="193"><span class="lineNum">     193 </span><span class="lineCov">        452 :     int64_t total_work = nleft + nright ;       // total work to do</span></a>
+<a name="194"><span class="lineNum">     194 </span>            :     ASSERT (ntasks &gt;= 1) ;</a>
+<a name="195"><span class="lineNum">     195 </span>            :     ASSERT (total_work &gt; 0) ;</a>
+<a name="196"><span class="lineNum">     196 </span>            : </a>
+<a name="197"><span class="lineNum">     197 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="198"><span class="lineNum">     198 </span>            :     // create the tasks</a>
+<a name="199"><span class="lineNum">     199 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="200"><span class="lineNum">     200 </span>            : </a>
+<a name="201"><span class="lineNum">     201 </span><span class="lineCov">        452 :     if (ntasks == 1)</span></a>
+<a name="202"><span class="lineNum">     202 </span>            :     {</a>
+<a name="203"><span class="lineNum">     203 </span>            : </a>
+<a name="204"><span class="lineNum">     204 </span>            :         //----------------------------------------------------------------------</a>
+<a name="205"><span class="lineNum">     205 </span>            :         // a single task will merge all of Left and Right into Sresult</a>
+<a name="206"><span class="lineNum">     206 </span>            :         //----------------------------------------------------------------------</a>
+<a name="207"><span class="lineNum">     207 </span>            : </a>
+<a name="208"><span class="lineNum">     208 </span><span class="lineCov">        256 :         L_task [t0] = pL_start ; L_len [t0] = nleft ;</span></a>
+<a name="209"><span class="lineNum">     209 </span><span class="lineCov">        256 :         R_task [t0] = pR_start ; R_len [t0] = nright ;</span></a>
+<a name="210"><span class="lineNum">     210 </span><span class="lineCov">        256 :         S_task [t0] = pS_start ;</span></a>
+<a name="211"><span class="lineNum">     211 </span>            : </a>
+<a name="212"><span class="lineNum">     212 </span>            :     }</a>
+<a name="213"><span class="lineNum">     213 </span>            :     else</a>
+<a name="214"><span class="lineNum">     214 </span>            :     {</a>
+<a name="215"><span class="lineNum">     215 </span>            : </a>
+<a name="216"><span class="lineNum">     216 </span>            :         //----------------------------------------------------------------------</a>
+<a name="217"><span class="lineNum">     217 </span>            :         // partition the Left and Right arrays for multiple merge tasks</a>
+<a name="218"><span class="lineNum">     218 </span>            :         //----------------------------------------------------------------------</a>
+<a name="219"><span class="lineNum">     219 </span>            : </a>
+<a name="220"><span class="lineNum">     220 </span>            :         int64_t pleft, pright ;</a>
+<a name="221"><span class="lineNum">     221 </span><span class="lineCov">        196 :         if (nleft &gt;= nright)</span></a>
+<a name="222"><span class="lineNum">     222 </span>            :         {</a>
+<a name="223"><span class="lineNum">     223 </span>            :             // split Left in half, and search for its pivot in Right</a>
+<a name="224"><span class="lineNum">     224 </span><span class="lineCov">        144 :             pleft = (pL_end + pL_start) &gt;&gt; 1 ;</span></a>
+<a name="225"><span class="lineNum">     225 </span><span class="lineCov">        144 :             pright = LG_msort_3b_binary_search (</span></a>
+<a name="226"><span class="lineNum">     226 </span>            :                         L_0, L_1, L_2, pleft,</a>
+<a name="227"><span class="lineNum">     227 </span>            :                         R_0, R_1, R_2, pR_start, pR_end) ;</a>
+<a name="228"><span class="lineNum">     228 </span>            :         }</a>
+<a name="229"><span class="lineNum">     229 </span>            :         else</a>
+<a name="230"><span class="lineNum">     230 </span>            :         {</a>
+<a name="231"><span class="lineNum">     231 </span>            :             // split Right in half, and search for its pivot in Left</a>
+<a name="232"><span class="lineNum">     232 </span><span class="lineCov">         52 :             pright = (pR_end + pR_start) &gt;&gt; 1 ;</span></a>
+<a name="233"><span class="lineNum">     233 </span><span class="lineCov">         52 :             pleft = LG_msort_3b_binary_search (</span></a>
+<a name="234"><span class="lineNum">     234 </span>            :                         R_0, R_1, R_2, pright,</a>
+<a name="235"><span class="lineNum">     235 </span>            :                         L_0, L_1, L_2, pL_start, pL_end) ;</a>
+<a name="236"><span class="lineNum">     236 </span>            :         }</a>
+<a name="237"><span class="lineNum">     237 </span>            : </a>
+<a name="238"><span class="lineNum">     238 </span>            :         //----------------------------------------------------------------------</a>
+<a name="239"><span class="lineNum">     239 </span>            :         // partition the tasks according to the work of each partition</a>
+<a name="240"><span class="lineNum">     240 </span>            :         //----------------------------------------------------------------------</a>
+<a name="241"><span class="lineNum">     241 </span>            : </a>
+<a name="242"><span class="lineNum">     242 </span>            :         // work0 is the total work in the first partition</a>
+<a name="243"><span class="lineNum">     243 </span><span class="lineCov">        196 :         int64_t work0 = (pleft - pL_start) + (pright - pR_start) ;</span></a>
+<a name="244"><span class="lineNum">     244 </span><span class="lineCov">        196 :         int ntasks0 = (int) round ((double) ntasks *</span></a>
+<a name="245"><span class="lineNum">     245 </span><span class="lineCov">        196 :             (((double) work0) / ((double) total_work))) ;</span></a>
+<a name="246"><span class="lineNum">     246 </span>            : </a>
+<a name="247"><span class="lineNum">     247 </span>            :         // ensure at least one task is assigned to each partition</a>
+<a name="248"><span class="lineNum">     248 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MAX (ntasks0, 1) ;</span></a>
+<a name="249"><span class="lineNum">     249 </span><span class="lineCov">        196 :         ntasks0 = LAGRAPH_MIN (ntasks0, ntasks-1) ;</span></a>
+<a name="250"><span class="lineNum">     250 </span><span class="lineCov">        196 :         int ntasks1 = ntasks - ntasks0 ;</span></a>
+<a name="251"><span class="lineNum">     251 </span>            : </a>
+<a name="252"><span class="lineNum">     252 </span>            :         //----------------------------------------------------------------------</a>
+<a name="253"><span class="lineNum">     253 </span>            :         // assign ntasks0 to the first half</a>
+<a name="254"><span class="lineNum">     254 </span>            :         //----------------------------------------------------------------------</a>
+<a name="255"><span class="lineNum">     255 </span>            : </a>
+<a name="256"><span class="lineNum">     256 </span>            :         // ntasks0 tasks merge L [pL_start...pleft-1] and R [pR_start..pright-1]</a>
+<a name="257"><span class="lineNum">     257 </span>            :         // into the result S [pS_start...work0-1].</a>
+<a name="258"><span class="lineNum">     258 </span>            : </a>
+<a name="259"><span class="lineNum">     259 </span><span class="lineCov">        196 :         LG_msort_3b_create_merge_tasks (</span></a>
+<a name="260"><span class="lineNum">     260 </span>            :             L_task, L_len, R_task, R_len, S_task, t0, ntasks0, pS_start,</a>
+<a name="261"><span class="lineNum">     261 </span>            :             L_0, L_1, L_2, pL_start, pleft,</a>
+<a name="262"><span class="lineNum">     262 </span>            :             R_0, R_1, R_2, pR_start, pright) ;</a>
+<a name="263"><span class="lineNum">     263 </span>            : </a>
+<a name="264"><span class="lineNum">     264 </span>            :         //----------------------------------------------------------------------</a>
+<a name="265"><span class="lineNum">     265 </span>            :         // assign ntasks1 to the second half</a>
+<a name="266"><span class="lineNum">     266 </span>            :         //----------------------------------------------------------------------</a>
+<a name="267"><span class="lineNum">     267 </span>            : </a>
+<a name="268"><span class="lineNum">     268 </span>            :         // ntasks1 tasks merge L [pleft...pL_end-1] and R [pright...pR_end-1]</a>
+<a name="269"><span class="lineNum">     269 </span>            :         // into the result S [pS_start+work0...pS_start+total_work].</a>
+<a name="270"><span class="lineNum">     270 </span>            : </a>
+<a name="271"><span class="lineNum">     271 </span><span class="lineCov">        196 :         int t1 = t0 + ntasks0 ;     // first task id of the second set of tasks</span></a>
+<a name="272"><span class="lineNum">     272 </span><span class="lineCov">        196 :         int64_t pS_start1 = pS_start + work0 ;  // 2nd set starts here in S</span></a>
+<a name="273"><span class="lineNum">     273 </span><span class="lineCov">        196 :         LG_msort_3b_create_merge_tasks (</span></a>
+<a name="274"><span class="lineNum">     274 </span>            :             L_task, L_len, R_task, R_len, S_task, t1, ntasks1, pS_start1,</a>
+<a name="275"><span class="lineNum">     275 </span>            :             L_0, L_1, L_2, pleft,  pL_end,</a>
+<a name="276"><span class="lineNum">     276 </span>            :             R_0, R_1, R_2, pright, pR_end) ;</a>
+<a name="277"><span class="lineNum">     277 </span>            :     }</a>
+<a name="278"><span class="lineNum">     278 </span><span class="lineCov">        452 : }</span></a>
+<a name="279"><span class="lineNum">     279 </span>            : </a>
+<a name="280"><span class="lineNum">     280 </span>            : //------------------------------------------------------------------------------</a>
+<a name="281"><span class="lineNum">     281 </span>            : // LG_msort_3b_merge: merge two sorted lists via a single thread</a>
+<a name="282"><span class="lineNum">     282 </span>            : //------------------------------------------------------------------------------</a>
+<a name="283"><span class="lineNum">     283 </span>            : </a>
+<a name="284"><span class="lineNum">     284 </span>            : // merge Left [0..nleft-1] and Right [0..nright-1] into S [0..nleft+nright-1] */</a>
+<a name="285"><span class="lineNum">     285 </span>            : </a>
+<a name="286"><span class="lineNum">     286 </span><span class="lineCov">        256 : static void LG_msort_3b_merge</span></a>
+<a name="287"><span class="lineNum">     287 </span>            : (</a>
+<a name="288"><span class="lineNum">     288 </span>            :     int64_t *LG_RESTRICT S_0,              // output of length nleft + nright</a>
+<a name="289"><span class="lineNum">     289 </span>            :     int64_t *LG_RESTRICT S_1,</a>
+<a name="290"><span class="lineNum">     290 </span>            :     int64_t *LG_RESTRICT S_2,</a>
+<a name="291"><span class="lineNum">     291 </span>            :     const int64_t *LG_RESTRICT Left_0,     // left input of length nleft</a>
+<a name="292"><span class="lineNum">     292 </span>            :     const int64_t *LG_RESTRICT Left_1,</a>
+<a name="293"><span class="lineNum">     293 </span>            :     const int64_t *LG_RESTRICT Left_2,</a>
+<a name="294"><span class="lineNum">     294 </span>            :     const int64_t nleft,</a>
+<a name="295"><span class="lineNum">     295 </span>            :     const int64_t *LG_RESTRICT Right_0,    // right input of length nright</a>
+<a name="296"><span class="lineNum">     296 </span>            :     const int64_t *LG_RESTRICT Right_1,</a>
+<a name="297"><span class="lineNum">     297 </span>            :     const int64_t *LG_RESTRICT Right_2,</a>
+<a name="298"><span class="lineNum">     298 </span>            :     const int64_t nright</a>
+<a name="299"><span class="lineNum">     299 </span>            : )</a>
+<a name="300"><span class="lineNum">     300 </span>            : {</a>
+<a name="301"><span class="lineNum">     301 </span>            :     int64_t p, pleft, pright ;</a>
+<a name="302"><span class="lineNum">     302 </span>            : </a>
+<a name="303"><span class="lineNum">     303 </span>            :     // merge the two inputs, Left and Right, while both inputs exist</a>
+<a name="304"><span class="lineNum">     304 </span><span class="lineCov">    3688060 :     for (p = 0, pleft = 0, pright = 0 ; pleft &lt; nleft &amp;&amp; pright &lt; nright ; p++)</span></a>
+<a name="305"><span class="lineNum">     305 </span>            :     {</a>
+<a name="306"><span class="lineNum">     306 </span><span class="lineCov">    3687804 :         if (LG_lt_3 (Left_0,  Left_1,  Left_2,  pleft,</span></a>
+<a name="307"><span class="lineNum">     307 </span>            :                      Right_0, Right_1, Right_2, pright))</a>
+<a name="308"><span class="lineNum">     308 </span>            :         {</a>
+<a name="309"><span class="lineNum">     309 </span>            :             // S [p] = Left [pleft++]</a>
+<a name="310"><span class="lineNum">     310 </span><span class="lineCov">    1668324 :             S_0 [p] = Left_0 [pleft] ;</span></a>
+<a name="311"><span class="lineNum">     311 </span><span class="lineCov">    1668324 :             S_1 [p] = Left_1 [pleft] ;</span></a>
+<a name="312"><span class="lineNum">     312 </span><span class="lineCov">    1668324 :             S_2 [p] = Left_2 [pleft] ;</span></a>
+<a name="313"><span class="lineNum">     313 </span><span class="lineCov">    1668324 :             pleft++ ;</span></a>
+<a name="314"><span class="lineNum">     314 </span>            :         }</a>
+<a name="315"><span class="lineNum">     315 </span>            :         else</a>
+<a name="316"><span class="lineNum">     316 </span>            :         {</a>
+<a name="317"><span class="lineNum">     317 </span>            :             // S [p] = Right [pright++]</a>
+<a name="318"><span class="lineNum">     318 </span><span class="lineCov">    2019480 :             S_0 [p] = Right_0 [pright] ;</span></a>
+<a name="319"><span class="lineNum">     319 </span><span class="lineCov">    2019480 :             S_1 [p] = Right_1 [pright] ;</span></a>
+<a name="320"><span class="lineNum">     320 </span><span class="lineCov">    2019480 :             S_2 [p] = Right_2 [pright] ;</span></a>
+<a name="321"><span class="lineNum">     321 </span><span class="lineCov">    2019480 :             pright++ ;</span></a>
+<a name="322"><span class="lineNum">     322 </span>            :         }</a>
+<a name="323"><span class="lineNum">     323 </span>            :     }</a>
+<a name="324"><span class="lineNum">     324 </span>            : </a>
+<a name="325"><span class="lineNum">     325 </span>            :     // either input is exhausted; copy the remaining list into S</a>
+<a name="326"><span class="lineNum">     326 </span><span class="lineCov">        256 :     if (pleft &lt; nleft)</span></a>
+<a name="327"><span class="lineNum">     327 </span>            :     {</a>
+<a name="328"><span class="lineNum">     328 </span><span class="lineCov">        176 :         int64_t nremaining = (nleft - pleft) ;</span></a>
+<a name="329"><span class="lineNum">     329 </span><span class="lineCov">        176 :         memcpy (S_0 + p, Left_0 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="330"><span class="lineNum">     330 </span><span class="lineCov">        176 :         memcpy (S_1 + p, Left_1 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="331"><span class="lineNum">     331 </span><span class="lineCov">        176 :         memcpy (S_2 + p, Left_2 + pleft, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="332"><span class="lineNum">     332 </span>            :     }</a>
+<a name="333"><span class="lineNum">     333 </span><span class="lineCov">         80 :     else if (pright &lt; nright)</span></a>
+<a name="334"><span class="lineNum">     334 </span>            :     {</a>
+<a name="335"><span class="lineNum">     335 </span><span class="lineCov">         80 :         int64_t nremaining = (nright - pright) ;</span></a>
+<a name="336"><span class="lineNum">     336 </span><span class="lineCov">         80 :         memcpy (S_0 + p, Right_0 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="337"><span class="lineNum">     337 </span><span class="lineCov">         80 :         memcpy (S_1 + p, Right_1 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="338"><span class="lineNum">     338 </span><span class="lineCov">         80 :         memcpy (S_2 + p, Right_2 + pright, nremaining * sizeof (int64_t)) ;</span></a>
+<a name="339"><span class="lineNum">     339 </span>            :     }</a>
+<a name="340"><span class="lineNum">     340 </span><span class="lineCov">        256 : }</span></a>
+<a name="341"><span class="lineNum">     341 </span>            : </a>
+<a name="342"><span class="lineNum">     342 </span>            : //------------------------------------------------------------------------------</a>
+<a name="343"><span class="lineNum">     343 </span>            : // LG_msort3: parallel mergesort</a>
+<a name="344"><span class="lineNum">     344 </span>            : //------------------------------------------------------------------------------</a>
+<a name="345"><span class="lineNum">     345 </span>            : </a>
+<a name="346"><span class="lineNum">     346 </span><span class="lineCov">        111 : int LG_msort3</span></a>
+<a name="347"><span class="lineNum">     347 </span>            : (</a>
+<a name="348"><span class="lineNum">     348 </span>            :     // input/output:</a>
+<a name="349"><span class="lineNum">     349 </span>            :     int64_t *A_0,       // size n array</a>
+<a name="350"><span class="lineNum">     350 </span>            :     int64_t *A_1,       // size n array</a>
+<a name="351"><span class="lineNum">     351 </span>            :     int64_t *A_2,       // size n array</a>
+<a name="352"><span class="lineNum">     352 </span>            :     // input:</a>
+<a name="353"><span class="lineNum">     353 </span>            :     const int64_t n,</a>
+<a name="354"><span class="lineNum">     354 </span>            :     char *msg</a>
+<a name="355"><span class="lineNum">     355 </span>            : )</a>
+<a name="356"><span class="lineNum">     356 </span>            : {</a>
+<a name="357"><span class="lineNum">     357 </span>            : </a>
+<a name="358"><span class="lineNum">     358 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="359"><span class="lineNum">     359 </span>            :     // check inputs</a>
+<a name="360"><span class="lineNum">     360 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="361"><span class="lineNum">     361 </span>            : </a>
+<a name="362"><span class="lineNum">     362 </span><span class="lineCov">        111 :     LG_CLEAR_MSG ;</span></a>
+<a name="363"><span class="lineNum">     363 </span><span class="lineCov">        111 :     int64_t *LG_RESTRICT W = NULL ;</span></a>
+<a name="364"><span class="lineNum">     364 </span><span class="lineCov">        111 :     LG_ASSERT (A_0 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="365"><span class="lineNum">     365 </span><span class="lineCov">        111 :     LG_ASSERT (A_1 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="366"><span class="lineNum">     366 </span><span class="lineCov">        111 :     LG_ASSERT (A_2 != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="367"><span class="lineNum">     367 </span>            : </a>
+<a name="368"><span class="lineNum">     368 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="369"><span class="lineNum">     369 </span>            :     // handle small problems with a single thread</a>
+<a name="370"><span class="lineNum">     370 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="371"><span class="lineNum">     371 </span>            : </a>
+<a name="372"><span class="lineNum">     372 </span><span class="lineCov">        111 :     int nthreads = LG_nthreads_outer * LG_nthreads_inner ; // # threads to use</span></a>
+<a name="373"><span class="lineNum">     373 </span><span class="lineCov">        111 :     if (nthreads &lt;= 1 || n &lt;= LG_BASECASE)</span></a>
+<a name="374"><span class="lineNum">     374 </span>            :     {</a>
+<a name="375"><span class="lineNum">     375 </span>            :         // sequential quicksort</a>
+<a name="376"><span class="lineNum">     376 </span><span class="lineCov">        105 :         LG_qsort_3 (A_0, A_1, A_2, n) ;</span></a>
+<a name="377"><span class="lineNum">     377 </span><span class="lineCov">        105 :         return (GrB_SUCCESS) ;</span></a>
+<a name="378"><span class="lineNum">     378 </span>            :     }</a>
+<a name="379"><span class="lineNum">     379 </span>            : </a>
+<a name="380"><span class="lineNum">     380 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="381"><span class="lineNum">     381 </span>            :     // determine # of tasks</a>
+<a name="382"><span class="lineNum">     382 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="383"><span class="lineNum">     383 </span>            : </a>
+<a name="384"><span class="lineNum">     384 </span>            :     // determine the number of levels to create, which must always be an</a>
+<a name="385"><span class="lineNum">     385 </span>            :     // even number.  The # of levels is chosen to ensure that the # of leaves</a>
+<a name="386"><span class="lineNum">     386 </span>            :     // of the task tree is between 4*nthreads and 16*nthreads.</a>
+<a name="387"><span class="lineNum">     387 </span>            : </a>
+<a name="388"><span class="lineNum">     388 </span>            :     //  2 to 4 threads:     4 levels, 16 qsort leaves</a>
+<a name="389"><span class="lineNum">     389 </span>            :     //  5 to 16 threads:    6 levels, 64 qsort leaves</a>
+<a name="390"><span class="lineNum">     390 </span>            :     // 17 to 64 threads:    8 levels, 256 qsort leaves</a>
+<a name="391"><span class="lineNum">     391 </span>            :     // 65 to 256 threads:   10 levels, 1024 qsort leaves</a>
+<a name="392"><span class="lineNum">     392 </span>            :     // 256 to 1024 threads: 12 levels, 4096 qsort leaves</a>
+<a name="393"><span class="lineNum">     393 </span>            :     // ...</a>
+<a name="394"><span class="lineNum">     394 </span>            : </a>
+<a name="395"><span class="lineNum">     395 </span><span class="lineCov">          6 :     int k = (int) (2 + 2 * ceil (log2 ((double) nthreads) / 2)) ;</span></a>
+<a name="396"><span class="lineNum">     396 </span><span class="lineCov">          6 :     int ntasks = 1 &lt;&lt; k ;</span></a>
+<a name="397"><span class="lineNum">     397 </span>            : </a>
+<a name="398"><span class="lineNum">     398 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="399"><span class="lineNum">     399 </span>            :     // allocate workspace</a>
+<a name="400"><span class="lineNum">     400 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="401"><span class="lineNum">     401 </span>            : </a>
+<a name="402"><span class="lineNum">     402 </span><span class="lineCov">          6 :     LG_TRY (LAGraph_Malloc ((void **) &amp;W, 3*n + 6*ntasks + 1, sizeof (int64_t),</span></a>
+<a name="403"><span class="lineNum">     403 </span>            :         msg)) ;</a>
+<a name="404"><span class="lineNum">     404 </span>            : </a>
+<a name="405"><span class="lineNum">     405 </span><span class="lineCov">          4 :     int64_t *T = W ;</span></a>
+<a name="406"><span class="lineNum">     406 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_0    = T ; T += n ;</span></a>
+<a name="407"><span class="lineNum">     407 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_1    = T ; T += n ;</span></a>
+<a name="408"><span class="lineNum">     408 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT W_2    = T ; T += n ;</span></a>
+<a name="409"><span class="lineNum">     409 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_task = T ; T += ntasks ;</span></a>
+<a name="410"><span class="lineNum">     410 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT L_len  = T ; T += ntasks ;</span></a>
+<a name="411"><span class="lineNum">     411 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_task = T ; T += ntasks ;</span></a>
+<a name="412"><span class="lineNum">     412 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT R_len  = T ; T += ntasks ;</span></a>
+<a name="413"><span class="lineNum">     413 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT S_task = T ; T += ntasks ;</span></a>
+<a name="414"><span class="lineNum">     414 </span><span class="lineCov">          4 :     int64_t *LG_RESTRICT Slice  = T ; T += (ntasks+1) ;</span></a>
+<a name="415"><span class="lineNum">     415 </span>            : </a>
+<a name="416"><span class="lineNum">     416 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="417"><span class="lineNum">     417 </span>            :     // partition and sort the leaves</a>
+<a name="418"><span class="lineNum">     418 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="419"><span class="lineNum">     419 </span>            : </a>
+<a name="420"><span class="lineNum">     420 </span><span class="lineCov">          4 :     LG_eslice (Slice, n, ntasks) ;</span></a>
+<a name="421"><span class="lineNum">     421 </span>            :     int tid ;</a>
+<a name="422"><span class="lineNum">     422 </span>            :     #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="423"><span class="lineNum">     423 </span><span class="lineCov">         68 :     for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="424"><span class="lineNum">     424 </span>            :     {</a>
+<a name="425"><span class="lineNum">     425 </span><span class="lineCov">         64 :         int64_t leaf = Slice [tid] ;</span></a>
+<a name="426"><span class="lineNum">     426 </span><span class="lineCov">         64 :         int64_t leafsize = Slice [tid+1] - leaf ;</span></a>
+<a name="427"><span class="lineNum">     427 </span><span class="lineCov">         64 :         LG_qsort_3 (A_0 + leaf, A_1 + leaf, A_2 + leaf, leafsize) ;</span></a>
+<a name="428"><span class="lineNum">     428 </span>            :     }</a>
+<a name="429"><span class="lineNum">     429 </span>            : </a>
+<a name="430"><span class="lineNum">     430 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="431"><span class="lineNum">     431 </span>            :     // merge each level</a>
+<a name="432"><span class="lineNum">     432 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="433"><span class="lineNum">     433 </span>            : </a>
+<a name="434"><span class="lineNum">     434 </span><span class="lineCov">          4 :     int nt = 1 ;</span></a>
+<a name="435"><span class="lineNum">     435 </span><span class="lineCov">         12 :     for ( ; k &gt;= 2 ; k -= 2)</span></a>
+<a name="436"><span class="lineNum">     436 </span>            :     {</a>
+<a name="437"><span class="lineNum">     437 </span>            : </a>
+<a name="438"><span class="lineNum">     438 </span>            :         //----------------------------------------------------------------------</a>
+<a name="439"><span class="lineNum">     439 </span>            :         // merge level k into level k-1, from A into W</a>
+<a name="440"><span class="lineNum">     440 </span>            :         //----------------------------------------------------------------------</a>
+<a name="441"><span class="lineNum">     441 </span>            : </a>
+<a name="442"><span class="lineNum">     442 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="443"><span class="lineNum">     443 </span><span class="lineCov">         48 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="444"><span class="lineNum">     444 </span>            :         {</a>
+<a name="445"><span class="lineNum">     445 </span>            :             // create 2*nt tasks to merge two A sublists into one W sublist</a>
+<a name="446"><span class="lineNum">     446 </span><span class="lineCov">         40 :             LG_msort_3b_create_merge_tasks (</span></a>
+<a name="447"><span class="lineNum">     447 </span><span class="lineCov">         40 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="448"><span class="lineNum">     448 </span><span class="lineCov">         40 :                 A_0, A_1, A_2, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="449"><span class="lineNum">     449 </span><span class="lineCov">         40 :                 A_0, A_1, A_2, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="450"><span class="lineNum">     450 </span>            :         }</a>
+<a name="451"><span class="lineNum">     451 </span>            : </a>
+<a name="452"><span class="lineNum">     452 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="453"><span class="lineNum">     453 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="454"><span class="lineNum">     454 </span>            :         {</a>
+<a name="455"><span class="lineNum">     455 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="456"><span class="lineNum">     456 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="457"><span class="lineNum">     457 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="458"><span class="lineNum">     458 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="459"><span class="lineNum">     459 </span>            : </a>
+<a name="460"><span class="lineNum">     460 </span><span class="lineCov">        128 :             LG_msort_3b_merge (</span></a>
+<a name="461"><span class="lineNum">     461 </span><span class="lineCov">        128 :                 W_0 + pS, W_1 + pS, W_2 + pS,</span></a>
+<a name="462"><span class="lineNum">     462 </span><span class="lineCov">        128 :                 A_0 + pL, A_1 + pL, A_2 + pL, nL,</span></a>
+<a name="463"><span class="lineNum">     463 </span><span class="lineCov">        128 :                 A_0 + pR, A_1 + pR, A_2 + pR, nR) ;</span></a>
+<a name="464"><span class="lineNum">     464 </span>            :         }</a>
+<a name="465"><span class="lineNum">     465 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="466"><span class="lineNum">     466 </span>            : </a>
+<a name="467"><span class="lineNum">     467 </span>            :         //----------------------------------------------------------------------</a>
+<a name="468"><span class="lineNum">     468 </span>            :         // merge level k-1 into level k-2, from W into A</a>
+<a name="469"><span class="lineNum">     469 </span>            :         //----------------------------------------------------------------------</a>
+<a name="470"><span class="lineNum">     470 </span>            : </a>
+<a name="471"><span class="lineNum">     471 </span>            :         // this could be done in parallel if ntasks was large</a>
+<a name="472"><span class="lineNum">     472 </span><span class="lineCov">         28 :         for (tid = 0 ; tid &lt; ntasks ; tid += 2*nt)</span></a>
+<a name="473"><span class="lineNum">     473 </span>            :         {</a>
+<a name="474"><span class="lineNum">     474 </span>            :             // create 2*nt tasks to merge two W sublists into one A sublist</a>
+<a name="475"><span class="lineNum">     475 </span><span class="lineCov">         20 :             LG_msort_3b_create_merge_tasks (</span></a>
+<a name="476"><span class="lineNum">     476 </span><span class="lineCov">         20 :                 L_task, L_len, R_task, R_len, S_task, tid, 2*nt, Slice [tid],</span></a>
+<a name="477"><span class="lineNum">     477 </span><span class="lineCov">         20 :                 W_0, W_1, W_2, Slice [tid],    Slice [tid+nt],</span></a>
+<a name="478"><span class="lineNum">     478 </span><span class="lineCov">         20 :                 W_0, W_1, W_2, Slice [tid+nt], Slice [tid+2*nt]) ;</span></a>
+<a name="479"><span class="lineNum">     479 </span>            :         }</a>
+<a name="480"><span class="lineNum">     480 </span>            : </a>
+<a name="481"><span class="lineNum">     481 </span>            :         #pragma omp parallel for num_threads(nthreads) schedule(dynamic,1)</a>
+<a name="482"><span class="lineNum">     482 </span><span class="lineCov">        136 :         for (tid = 0 ; tid &lt; ntasks ; tid++)</span></a>
+<a name="483"><span class="lineNum">     483 </span>            :         {</a>
+<a name="484"><span class="lineNum">     484 </span>            :             // merge A [pL...pL+nL-1] and A [pR...pR+nR-1] into W [pS..]</a>
+<a name="485"><span class="lineNum">     485 </span><span class="lineCov">        128 :             int64_t pL = L_task [tid], nL = L_len [tid] ;</span></a>
+<a name="486"><span class="lineNum">     486 </span><span class="lineCov">        128 :             int64_t pR = R_task [tid], nR = R_len [tid] ;</span></a>
+<a name="487"><span class="lineNum">     487 </span><span class="lineCov">        128 :             int64_t pS = S_task [tid] ;</span></a>
+<a name="488"><span class="lineNum">     488 </span><span class="lineCov">        128 :             LG_msort_3b_merge (</span></a>
+<a name="489"><span class="lineNum">     489 </span><span class="lineCov">        128 :                 A_0 + pS, A_1 + pS, A_2 + pS,</span></a>
+<a name="490"><span class="lineNum">     490 </span><span class="lineCov">        128 :                 W_0 + pL, W_1 + pL, W_2 + pL, nL,</span></a>
+<a name="491"><span class="lineNum">     491 </span><span class="lineCov">        128 :                 W_0 + pR, W_1 + pR, W_2 + pR, nR) ;</span></a>
+<a name="492"><span class="lineNum">     492 </span>            :         }</a>
+<a name="493"><span class="lineNum">     493 </span><span class="lineCov">          8 :         nt = 2*nt ;</span></a>
+<a name="494"><span class="lineNum">     494 </span>            :     }</a>
+<a name="495"><span class="lineNum">     495 </span>            : </a>
+<a name="496"><span class="lineNum">     496 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="497"><span class="lineNum">     497 </span>            :     // free workspace and return result</a>
+<a name="498"><span class="lineNum">     498 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="499"><span class="lineNum">     499 </span>            : </a>
+<a name="500"><span class="lineNum">     500 </span><span class="lineCov">          4 :     LG_FREE_ALL ;</span></a>
+<a name="501"><span class="lineNum">     501 </span><span class="lineCov">          4 :     return (GrB_SUCCESS) ;</span></a>
+<a name="502"><span class="lineNum">     502 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_nself_edges.c.func-sort-c.html b/src/utility/LG_nself_edges.c.func-sort-c.html
new file mode 100644
index 0000000000..ecc03112dd
--- /dev/null
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+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_nself_edges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
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+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_nself_edges.c<span style="font-size: 80%;"> (<a href="LG_nself_edges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_nself_edges.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_nself_edges.c.gcov.html#25">LG_nself_edges</a></td>
+              <td class="coverFnHi">941</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_nself_edges.c.func.html b/src/utility/LG_nself_edges.c.func.html
new file mode 100644
index 0000000000..7784235bc0
--- /dev/null
+++ b/src/utility/LG_nself_edges.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_nself_edges.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_nself_edges.c<span style="font-size: 80%;"> (<a href="LG_nself_edges.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_nself_edges.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_nself_edges.c.gcov.html#25">LG_nself_edges</a></td>
+              <td class="coverFnHi">941</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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+</body>
+</html>
diff --git a/src/utility/LG_nself_edges.c.gcov.html b/src/utility/LG_nself_edges.c.gcov.html
new file mode 100644
index 0000000000..036cdf70bc
--- /dev/null
+++ b/src/utility/LG_nself_edges.c.gcov.html
@@ -0,0 +1,167 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_nself_edges.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_nself_edges.c<span style="font-size: 80%;"> (source / <a href="LG_nself_edges.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntry">15</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_nself_edges: count the # of diagonal entries in a matrix</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #define LG_FREE_ALL         \</a>
+<a name="19"><span class="lineNum">      19 </span>            : {                           \</a>
+<a name="20"><span class="lineNum">      20 </span>            :     GrB_free (&amp;M) ;         \</a>
+<a name="21"><span class="lineNum">      21 </span>            :     GrB_free (&amp;D) ;         \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     GrB_free (&amp;d) ;         \</a>
+<a name="23"><span class="lineNum">      23 </span>            : }</a>
+<a name="24"><span class="lineNum">      24 </span>            : </a>
+<a name="25"><span class="lineNum">      25 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span><span class="lineCov">        941 : int LG_nself_edges</span></a>
+<a name="28"><span class="lineNum">      28 </span>            : (</a>
+<a name="29"><span class="lineNum">      29 </span>            :     // output:</a>
+<a name="30"><span class="lineNum">      30 </span>            :     int64_t *nself_edges,         // # of entries</a>
+<a name="31"><span class="lineNum">      31 </span>            :     // input:</a>
+<a name="32"><span class="lineNum">      32 </span>            :     GrB_Matrix A,           // matrix to count</a>
+<a name="33"><span class="lineNum">      33 </span>            :     char *msg               // error message</a>
+<a name="34"><span class="lineNum">      34 </span>            : )</a>
+<a name="35"><span class="lineNum">      35 </span>            : {</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="38"><span class="lineNum">      38 </span>            :     // extract the diagonal and count its entries</a>
+<a name="39"><span class="lineNum">      39 </span>            :     //--------------------------------------------------------------------------</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span><span class="lineCov">        941 :     GrB_Matrix D = NULL, M = NULL ;</span></a>
+<a name="42"><span class="lineNum">      42 </span><span class="lineCov">        941 :     GrB_Vector d = NULL ;</span></a>
+<a name="43"><span class="lineNum">      43 </span><span class="lineCov">        941 :     LG_ASSERT (nself_edges != NULL, GrB_NULL_POINTER) ;</span></a>
+<a name="44"><span class="lineNum">      44 </span><span class="lineCov">        941 :     (*nself_edges) = LAGRAPH_UNKNOWN ;</span></a>
+<a name="45"><span class="lineNum">      45 </span>            : </a>
+<a name="46"><span class="lineNum">      46 </span>            :     GrB_Index nrows, ncols ;</a>
+<a name="47"><span class="lineNum">      47 </span><span class="lineCov">        941 :     GRB_TRY (GrB_Matrix_nrows (&amp;nrows, A)) ;</span></a>
+<a name="48"><span class="lineNum">      48 </span><span class="lineCov">        941 :     GRB_TRY (GrB_Matrix_ncols (&amp;ncols, A)) ;</span></a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">        941 :     GrB_Index n = LAGRAPH_MIN (nrows, ncols) ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            : </a>
+<a name="51"><span class="lineNum">      51 </span>            :     // FUTURE: use a method that does not require atype</a>
+<a name="52"><span class="lineNum">      52 </span>            : </a>
+<a name="53"><span class="lineNum">      53 </span>            :     GrB_Type atype ;</a>
+<a name="54"><span class="lineNum">      54 </span>            :     char atype_name [LAGRAPH_MAX_NAME_LEN] ;</a>
+<a name="55"><span class="lineNum">      55 </span><span class="lineCov">        941 :     LG_TRY (LAGraph_Matrix_TypeName (atype_name, A, msg)) ;</span></a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        941 :     LG_TRY (LAGraph_TypeFromName (&amp;atype, atype_name, msg)) ;</span></a>
+<a name="57"><span class="lineNum">      57 </span>            : </a>
+<a name="58"><span class="lineNum">      58 </span>            :     #if LAGRAPH_SUITESPARSE</a>
+<a name="59"><span class="lineNum">      59 </span>            : </a>
+<a name="60"><span class="lineNum">      60 </span>            :         //----------------------------------------------------------------------</a>
+<a name="61"><span class="lineNum">      61 </span>            :         // SuiteSparse:GraphBLAS v5.0.2: use GxB_Vector_diag</a>
+<a name="62"><span class="lineNum">      62 </span>            :         //----------------------------------------------------------------------</a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        941 :         GRB_TRY (GrB_Vector_new (&amp;d, atype, n)) ;</span></a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">        809 :         GRB_TRY (GxB_Vector_diag (d, A, 0, NULL)) ;</span></a>
+<a name="66"><span class="lineNum">      66 </span><span class="lineCov">        316 :         GRB_TRY (GrB_Vector_nvals ((GrB_Index *) nself_edges, d)) ;</span></a>
+<a name="67"><span class="lineNum">      67 </span>            : </a>
+<a name="68"><span class="lineNum">      68 </span>            :     #else</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :         //----------------------------------------------------------------------</a>
+<a name="71"><span class="lineNum">      71 </span>            :         // pure GrB version with no GxB extensions</a>
+<a name="72"><span class="lineNum">      72 </span>            :         //----------------------------------------------------------------------</a>
+<a name="73"><span class="lineNum">      73 </span>            : </a>
+<a name="74"><span class="lineNum">      74 </span>            :         GRB_TRY (GrB_Matrix_new (&amp;M, GrB_BOOL, nrows, ncols)) ;</a>
+<a name="75"><span class="lineNum">      75 </span>            :         GRB_TRY (GrB_Matrix_new (&amp;D, atype, nrows, ncols)) ;</a>
+<a name="76"><span class="lineNum">      76 </span>            :         for (int64_t i = 0 ; i &lt; n ; i++)</a>
+<a name="77"><span class="lineNum">      77 </span>            :         {</a>
+<a name="78"><span class="lineNum">      78 </span>            :             // M (i,i) = true</a>
+<a name="79"><span class="lineNum">      79 </span>            :             GRB_TRY (GrB_Matrix_setElement (M, (bool) true, i, i)) ;</a>
+<a name="80"><span class="lineNum">      80 </span>            :         }</a>
+<a name="81"><span class="lineNum">      81 </span>            : </a>
+<a name="82"><span class="lineNum">      82 </span>            :         // D&lt;M,struct&gt; = A</a>
+<a name="83"><span class="lineNum">      83 </span>            :         GRB_TRY (GrB_assign (D, M, NULL, A, GrB_ALL, nrows, GrB_ALL, ncols,</a>
+<a name="84"><span class="lineNum">      84 </span>            :             GrB_DESC_S)) ;</a>
+<a name="85"><span class="lineNum">      85 </span>            :         GRB_TRY (GrB_Matrix_nvals ((GrB_Index *) nself_edges, D)) ;</a>
+<a name="86"><span class="lineNum">      86 </span>            : </a>
+<a name="87"><span class="lineNum">      87 </span>            :     #endif</a>
+<a name="88"><span class="lineNum">      88 </span>            : </a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">        316 :     LG_FREE_ALL ;</span></a>
+<a name="90"><span class="lineNum">      90 </span><span class="lineCov">        316 :     return (GrB_SUCCESS) ;</span></a>
+<a name="91"><span class="lineNum">      91 </span>            : }</a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_1a.c.func-sort-c.html b/src/utility/LG_qsort_1a.c.func-sort-c.html
new file mode 100644
index 0000000000..7ccd163b9f
--- /dev/null
+++ b/src/utility/LG_qsort_1a.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_1a.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_1a.c<span style="font-size: 80%;"> (<a href="LG_qsort_1a.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_qsort_1a.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_1a.c.gcov.html#48">LG_qsort_1a</a></td>
+              <td class="coverFnHi">254</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_1a.c.func.html b/src/utility/LG_qsort_1a.c.func.html
new file mode 100644
index 0000000000..8f395325d4
--- /dev/null
+++ b/src/utility/LG_qsort_1a.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_1a.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_1a.c<span style="font-size: 80%;"> (<a href="LG_qsort_1a.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_qsort_1a.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_1a.c.gcov.html#48">LG_qsort_1a</a></td>
+              <td class="coverFnHi">254</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_1a.c.gcov.html b/src/utility/LG_qsort_1a.c.gcov.html
new file mode 100644
index 0000000000..f1a5bc5a90
--- /dev/null
+++ b/src/utility/LG_qsort_1a.c.gcov.html
@@ -0,0 +1,134 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_1a.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_1a.c<span style="font-size: 80%;"> (source / <a href="LG_qsort_1a.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_qsort_1a: sort an 1-by-n list of integers</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // returns true if A [a] &lt; B [b]</a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_lt(A,a,B,b)                  \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LG_lt_1 (A ## _0, a, B ## _0, b)</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // argument list for calling a function</a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_arg(A)                       \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     A ## _0</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // argument list for calling a function, with offset</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LG_arg_offset(A,x)              \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     A ## _0 + (x)</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : // argument list for defining a function</a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_args(A)                      \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT A ## _0</a>
+<a name="35"><span class="lineNum">      35 </span>            : </a>
+<a name="36"><span class="lineNum">      36 </span>            : // each entry has a single key</a>
+<a name="37"><span class="lineNum">      37 </span>            : #define LG_K 1</a>
+<a name="38"><span class="lineNum">      38 </span>            : </a>
+<a name="39"><span class="lineNum">      39 </span>            : // swap A [a] and A [b]</a>
+<a name="40"><span class="lineNum">      40 </span>            : #define LG_swap(A,a,b)                                                        \</a>
+<a name="41"><span class="lineNum">      41 </span>            : {                                                                             \</a>
+<a name="42"><span class="lineNum">      42 </span>            :     int64_t t0 = A ## _0 [a] ; A ## _0 [a] = A ## _0 [b] ; A ## _0 [b] = t0 ; \</a>
+<a name="43"><span class="lineNum">      43 </span>            : }</a>
+<a name="44"><span class="lineNum">      44 </span>            : </a>
+<a name="45"><span class="lineNum">      45 </span>            : #define LG_partition LG_partition_1a</a>
+<a name="46"><span class="lineNum">      46 </span>            : #define LG_quicksort LG_quicksort_1a</a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            : #include &quot;LG_qsort_template.h&quot;</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span><span class="lineCov">        254 : void LG_qsort_1a    // sort array A of size 1-by-n</span></a>
+<a name="51"><span class="lineNum">      51 </span>            : (</a>
+<a name="52"><span class="lineNum">      52 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="53"><span class="lineNum">      53 </span>            :     const int64_t n</a>
+<a name="54"><span class="lineNum">      54 </span>            : )</a>
+<a name="55"><span class="lineNum">      55 </span>            : {</a>
+<a name="56"><span class="lineNum">      56 </span><span class="lineCov">        254 :     uint64_t seed = n ;</span></a>
+<a name="57"><span class="lineNum">      57 </span><span class="lineCov">        254 :     LG_quicksort (LG_arg (A), n, &amp;seed, NULL) ;</span></a>
+<a name="58"><span class="lineNum">      58 </span><span class="lineCov">        254 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_2.c.func-sort-c.html b/src/utility/LG_qsort_2.c.func-sort-c.html
new file mode 100644
index 0000000000..f23c5930e6
--- /dev/null
+++ b/src/utility/LG_qsort_2.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_2.c<span style="font-size: 80%;"> (<a href="LG_qsort_2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_qsort_2.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_2.c.gcov.html#50">LG_qsort_2</a></td>
+              <td class="coverFnHi">1721</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_2.c.func.html b/src/utility/LG_qsort_2.c.func.html
new file mode 100644
index 0000000000..5d84e82e8c
--- /dev/null
+++ b/src/utility/LG_qsort_2.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_2.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_2.c<span style="font-size: 80%;"> (<a href="LG_qsort_2.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_qsort_2.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_2.c.gcov.html#50">LG_qsort_2</a></td>
+              <td class="coverFnHi">1721</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_2.c.gcov.html b/src/utility/LG_qsort_2.c.gcov.html
new file mode 100644
index 0000000000..26e34b6657
--- /dev/null
+++ b/src/utility/LG_qsort_2.c.gcov.html
@@ -0,0 +1,137 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_2.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_2.c<span style="font-size: 80%;"> (source / <a href="LG_qsort_2.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_qsort_2: sort a 2-by-n list of integers, using A[0:1][ ] as the key</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // returns true if A [a] &lt; B [b]</a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_lt(A,a,B,b)                  \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LG_lt_2 (A ## _0, A ## _1, a, B ## _0, B ## _1, b)</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // argument list for calling a function</a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_arg(A)                       \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     A ## _0, A ## _1</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // argument list for calling a function, with offset</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LG_arg_offset(A,x)              \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     A ## _0 + (x), A ## _1 + (x)</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : // argument list for defining a function</a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_args(A)                      \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT A ## _0,       \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     int64_t *LG_RESTRICT A ## _1</a>
+<a name="36"><span class="lineNum">      36 </span>            : </a>
+<a name="37"><span class="lineNum">      37 </span>            : // each entry has a 2-integer key</a>
+<a name="38"><span class="lineNum">      38 </span>            : #define LG_K 2</a>
+<a name="39"><span class="lineNum">      39 </span>            : </a>
+<a name="40"><span class="lineNum">      40 </span>            : // swap A [a] and A [b]</a>
+<a name="41"><span class="lineNum">      41 </span>            : #define LG_swap(A,a,b)                                                        \</a>
+<a name="42"><span class="lineNum">      42 </span>            : {                                                                             \</a>
+<a name="43"><span class="lineNum">      43 </span>            :     int64_t t0 = A ## _0 [a] ; A ## _0 [a] = A ## _0 [b] ; A ## _0 [b] = t0 ; \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     int64_t t1 = A ## _1 [a] ; A ## _1 [a] = A ## _1 [b] ; A ## _1 [b] = t1 ; \</a>
+<a name="45"><span class="lineNum">      45 </span>            : }</a>
+<a name="46"><span class="lineNum">      46 </span>            : </a>
+<a name="47"><span class="lineNum">      47 </span>            : #define LG_partition LG_partition_2</a>
+<a name="48"><span class="lineNum">      48 </span>            : #define LG_quicksort LG_quicksort_2</a>
+<a name="49"><span class="lineNum">      49 </span>            : </a>
+<a name="50"><span class="lineNum">      50 </span>            : #include &quot;LG_qsort_template.h&quot;</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span><span class="lineCov">       1721 : void LG_qsort_2     // sort array A of size 2-by-n, using 2 keys (A [0:1][])</span></a>
+<a name="53"><span class="lineNum">      53 </span>            : (</a>
+<a name="54"><span class="lineNum">      54 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="55"><span class="lineNum">      55 </span>            :     int64_t *LG_RESTRICT A_1,       // size n array</a>
+<a name="56"><span class="lineNum">      56 </span>            :     const int64_t n</a>
+<a name="57"><span class="lineNum">      57 </span>            : )</a>
+<a name="58"><span class="lineNum">      58 </span>            : {</a>
+<a name="59"><span class="lineNum">      59 </span><span class="lineCov">       1721 :     uint64_t seed = n ;</span></a>
+<a name="60"><span class="lineNum">      60 </span><span class="lineCov">       1721 :     LG_quicksort (LG_arg (A), n, &amp;seed, NULL) ;</span></a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">       1721 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_3.c.func-sort-c.html b/src/utility/LG_qsort_3.c.func-sort-c.html
new file mode 100644
index 0000000000..81a55f4af0
--- /dev/null
+++ b/src/utility/LG_qsort_3.c.func-sort-c.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_3.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_3.c<span style="font-size: 80%;"> (<a href="LG_qsort_3.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_qsort_3.c.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_3.c.gcov.html#52">LG_qsort_3</a></td>
+              <td class="coverFnHi">169</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_3.c.func.html b/src/utility/LG_qsort_3.c.func.html
new file mode 100644
index 0000000000..fb5f92f873
--- /dev/null
+++ b/src/utility/LG_qsort_3.c.func.html
@@ -0,0 +1,76 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_3.c - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_3.c<span style="font-size: 80%;"> (<a href="LG_qsort_3.c.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_qsort_3.c.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_3.c.gcov.html#52">LG_qsort_3</a></td>
+              <td class="coverFnHi">169</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_3.c.gcov.html b/src/utility/LG_qsort_3.c.gcov.html
new file mode 100644
index 0000000000..76158ff70e
--- /dev/null
+++ b/src/utility/LG_qsort_3.c.gcov.html
@@ -0,0 +1,140 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_3.c</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_3.c<span style="font-size: 80%;"> (source / <a href="LG_qsort_3.c.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntry">4</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntry">1</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_qsort_3: sort a 3-by-n list of integers, using A[0:2][] as the key</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : #include &quot;LG_internal.h&quot;</a>
+<a name="19"><span class="lineNum">      19 </span>            : </a>
+<a name="20"><span class="lineNum">      20 </span>            : // returns true if A [a] &lt; B [b]</a>
+<a name="21"><span class="lineNum">      21 </span>            : #define LG_lt(A,a,B,b)                  \</a>
+<a name="22"><span class="lineNum">      22 </span>            :     LG_lt_3 (A ## _0, A ## _1, A ## _2, a, B ## _0, B ## _1, B ## _2, b)</a>
+<a name="23"><span class="lineNum">      23 </span>            : </a>
+<a name="24"><span class="lineNum">      24 </span>            : // argument list for calling a function</a>
+<a name="25"><span class="lineNum">      25 </span>            : #define LG_arg(A)                       \</a>
+<a name="26"><span class="lineNum">      26 </span>            :     A ## _0, A ## _1, A ## _2</a>
+<a name="27"><span class="lineNum">      27 </span>            : </a>
+<a name="28"><span class="lineNum">      28 </span>            : // argument list for calling a function, with offset</a>
+<a name="29"><span class="lineNum">      29 </span>            : #define LG_arg_offset(A,x)              \</a>
+<a name="30"><span class="lineNum">      30 </span>            :     A ## _0 + (x), A ## _1 + (x), A ## _2 + (x)</a>
+<a name="31"><span class="lineNum">      31 </span>            : </a>
+<a name="32"><span class="lineNum">      32 </span>            : // argument list for defining a function</a>
+<a name="33"><span class="lineNum">      33 </span>            : #define LG_args(A)                      \</a>
+<a name="34"><span class="lineNum">      34 </span>            :     int64_t *LG_RESTRICT A ## _0,       \</a>
+<a name="35"><span class="lineNum">      35 </span>            :     int64_t *LG_RESTRICT A ## _1,       \</a>
+<a name="36"><span class="lineNum">      36 </span>            :     int64_t *LG_RESTRICT A ## _2</a>
+<a name="37"><span class="lineNum">      37 </span>            : </a>
+<a name="38"><span class="lineNum">      38 </span>            : // each entry has a 3-integer key</a>
+<a name="39"><span class="lineNum">      39 </span>            : #define LG_K 3</a>
+<a name="40"><span class="lineNum">      40 </span>            : </a>
+<a name="41"><span class="lineNum">      41 </span>            : // swap A [a] and A [b]</a>
+<a name="42"><span class="lineNum">      42 </span>            : #define LG_swap(A,a,b)                                                        \</a>
+<a name="43"><span class="lineNum">      43 </span>            : {                                                                             \</a>
+<a name="44"><span class="lineNum">      44 </span>            :     int64_t t0 = A ## _0 [a] ; A ## _0 [a] = A ## _0 [b] ; A ## _0 [b] = t0 ; \</a>
+<a name="45"><span class="lineNum">      45 </span>            :     int64_t t1 = A ## _1 [a] ; A ## _1 [a] = A ## _1 [b] ; A ## _1 [b] = t1 ; \</a>
+<a name="46"><span class="lineNum">      46 </span>            :     int64_t t2 = A ## _2 [a] ; A ## _2 [a] = A ## _2 [b] ; A ## _2 [b] = t2 ; \</a>
+<a name="47"><span class="lineNum">      47 </span>            : }</a>
+<a name="48"><span class="lineNum">      48 </span>            : </a>
+<a name="49"><span class="lineNum">      49 </span>            : #define LG_partition LG_partition_3</a>
+<a name="50"><span class="lineNum">      50 </span>            : #define LG_quicksort LG_quicksort_3</a>
+<a name="51"><span class="lineNum">      51 </span>            : </a>
+<a name="52"><span class="lineNum">      52 </span>            : #include &quot;LG_qsort_template.h&quot;</a>
+<a name="53"><span class="lineNum">      53 </span>            : </a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">        169 : void LG_qsort_3     // sort array A of size 3-by-n, using 3 keys (A [0:2][])</span></a>
+<a name="55"><span class="lineNum">      55 </span>            : (</a>
+<a name="56"><span class="lineNum">      56 </span>            :     int64_t *LG_RESTRICT A_0,       // size n array</a>
+<a name="57"><span class="lineNum">      57 </span>            :     int64_t *LG_RESTRICT A_1,       // size n array</a>
+<a name="58"><span class="lineNum">      58 </span>            :     int64_t *LG_RESTRICT A_2,       // size n array</a>
+<a name="59"><span class="lineNum">      59 </span>            :     const int64_t n</a>
+<a name="60"><span class="lineNum">      60 </span>            : )</a>
+<a name="61"><span class="lineNum">      61 </span>            : {</a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">        169 :     uint64_t seed = n ;</span></a>
+<a name="63"><span class="lineNum">      63 </span><span class="lineCov">        169 :     LG_quicksort (LG_arg (A), n, &amp;seed, NULL) ;</span></a>
+<a name="64"><span class="lineNum">      64 </span><span class="lineCov">        169 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_template.h.func-sort-c.html b/src/utility/LG_qsort_template.h.func-sort-c.html
new file mode 100644
index 0000000000..18f3724374
--- /dev/null
+++ b/src/utility/LG_qsort_template.h.func-sort-c.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_template.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_template.h<span style="font-size: 80%;"> (<a href="LG_qsort_template.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><a href="LG_qsort_template.h.func.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></a></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_1a</a></td>
+              <td class="coverFnHi">102814</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_3</a></td>
+              <td class="coverFnHi">112526</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_1a</a></td>
+              <td class="coverFnHi">205882</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_3</a></td>
+              <td class="coverFnHi">225221</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_2</a></td>
+              <td class="coverFnHi">311446</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_2</a></td>
+              <td class="coverFnHi">624613</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_template.h.func.html b/src/utility/LG_qsort_template.h.func.html
new file mode 100644
index 0000000000..25f68a41c7
--- /dev/null
+++ b/src/utility/LG_qsort_template.h.func.html
@@ -0,0 +1,96 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_template.h - functions</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_template.h<span style="font-size: 80%;"> (<a href="LG_qsort_template.h.gcov.html">source</a> / functions)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="60%" cellpadding=1 cellspacing=1 border=0>
+    <tr><td><br></td></tr>
+    <tr>
+      <td width="80%" class="tableHead">Function Name <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function name" title="Sort by function name" border=0></span></td>
+      <td width="20%" class="tableHead">Hit count <span class="tableHeadSort"><a href="LG_qsort_template.h.func-sort-c.html"><img src="../../updown.png" width=10 height=14 alt="Sort by hit count" title="Sort by hit count" border=0></a></span></td>
+    </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_1a</a></td>
+              <td class="coverFnHi">102814</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_2</a></td>
+              <td class="coverFnHi">311446</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#33">LG_partition_3</a></td>
+              <td class="coverFnHi">112526</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_1a</a></td>
+              <td class="coverFnHi">205882</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_2</a></td>
+              <td class="coverFnHi">624613</td>
+            </tr>
+    <tr>
+              <td class="coverFn"><a href="LG_qsort_template.h.gcov.html#98">LG_quicksort_3</a></td>
+              <td class="coverFnHi">225221</td>
+            </tr>
+  </table>
+  <br>
+  </center>
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/LG_qsort_template.h.gcov.html b/src/utility/LG_qsort_template.h.gcov.html
new file mode 100644
index 0000000000..750cf1bbc6
--- /dev/null
+++ b/src/utility/LG_qsort_template.h.gcov.html
@@ -0,0 +1,206 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility/LG_qsort_template.h</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - <a href="index.html">src/utility</a> - LG_qsort_template.h<span style="font-size: 80%;"> (source / <a href="LG_qsort_template.h.func-sort-c.html">functions</a>)</span></td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntry">23</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntry">6</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <table cellpadding=0 cellspacing=0 border=0>
+    <tr>
+      <td><br></td>
+    </tr>
+    <tr>
+      <td>
+<pre class="sourceHeading">          Line data    Source code</pre>
+<pre class="source">
+<a name="1"><span class="lineNum">       1 </span>            : //------------------------------------------------------------------------------</a>
+<a name="2"><span class="lineNum">       2 </span>            : // LG_qsort_template: quicksort of a K-by-n array</a>
+<a name="3"><span class="lineNum">       3 </span>            : //------------------------------------------------------------------------------</a>
+<a name="4"><span class="lineNum">       4 </span>            : </a>
+<a name="5"><span class="lineNum">       5 </span>            : // LAGraph, (c) 2019-2022 by The LAGraph Contributors, All Rights Reserved.</a>
+<a name="6"><span class="lineNum">       6 </span>            : // SPDX-License-Identifier: BSD-2-Clause</a>
+<a name="7"><span class="lineNum">       7 </span>            : //</a>
+<a name="8"><span class="lineNum">       8 </span>            : // For additional details (including references to third party source code and</a>
+<a name="9"><span class="lineNum">       9 </span>            : // other files) see the LICENSE file or contact permission@sei.cmu.edu. See</a>
+<a name="10"><span class="lineNum">      10 </span>            : // Contributors.txt for a full list of contributors. Created, in part, with</a>
+<a name="11"><span class="lineNum">      11 </span>            : // funding and support from the U.S. Government (see Acknowledgments.txt file).</a>
+<a name="12"><span class="lineNum">      12 </span>            : // DM22-0790</a>
+<a name="13"><span class="lineNum">      13 </span>            : </a>
+<a name="14"><span class="lineNum">      14 </span>            : // Contributed by Timothy A. Davis, Texas A&amp;M University</a>
+<a name="15"><span class="lineNum">      15 </span>            : </a>
+<a name="16"><span class="lineNum">      16 </span>            : //------------------------------------------------------------------------------</a>
+<a name="17"><span class="lineNum">      17 </span>            : </a>
+<a name="18"><span class="lineNum">      18 </span>            : // This file is #include'd in LG_qsort*.c to create specific versions for</a>
+<a name="19"><span class="lineNum">      19 </span>            : // different kinds of sort keys and auxiliary arrays.  Requires an inline or</a>
+<a name="20"><span class="lineNum">      20 </span>            : // macro definition of the LG_lt function.  The LG_lt function has the form</a>
+<a name="21"><span class="lineNum">      21 </span>            : // LG_lt (A,i,B,j) and returns true if A[i] &lt; B[j].</a>
+<a name="22"><span class="lineNum">      22 </span>            : </a>
+<a name="23"><span class="lineNum">      23 </span>            : // All of these functions are static; there will be versions of them in each</a>
+<a name="24"><span class="lineNum">      24 </span>            : // variant of LG_qsort*, and given unique names via #define's in the</a>
+<a name="25"><span class="lineNum">      25 </span>            : // #include'ing file.</a>
+<a name="26"><span class="lineNum">      26 </span>            : </a>
+<a name="27"><span class="lineNum">      27 </span>            : //------------------------------------------------------------------------------</a>
+<a name="28"><span class="lineNum">      28 </span>            : // LG_partition: use a pivot to partition an array</a>
+<a name="29"><span class="lineNum">      29 </span>            : //------------------------------------------------------------------------------</a>
+<a name="30"><span class="lineNum">      30 </span>            : </a>
+<a name="31"><span class="lineNum">      31 </span>            : // C.A.R Hoare partition method, partitions an array in-place via a pivot.</a>
+<a name="32"><span class="lineNum">      32 </span>            : // k = partition (A, n) partitions A [0:n-1] such that all entries in</a>
+<a name="33"><span class="lineNum">      33 </span>            : // A [0:k] are &lt;= all entries in A [k+1:n-1].</a>
+<a name="34"><span class="lineNum">      34 </span>            : </a>
+<a name="35"><span class="lineNum">      35 </span><span class="lineCov">     526786 : static inline int64_t LG_partition</span></a>
+<a name="36"><span class="lineNum">      36 </span>            : (</a>
+<a name="37"><span class="lineNum">      37 </span>            :     LG_args (A),            // array(s) to partition</a>
+<a name="38"><span class="lineNum">      38 </span>            :     const int64_t n,        // size of the array(s) to partition</a>
+<a name="39"><span class="lineNum">      39 </span>            :     uint64_t *seed,         // random number seed, modified on output</a>
+<a name="40"><span class="lineNum">      40 </span>            :     LG_void *tx</a>
+<a name="41"><span class="lineNum">      41 </span>            : )</a>
+<a name="42"><span class="lineNum">      42 </span>            : {</a>
+<a name="43"><span class="lineNum">      43 </span>            : </a>
+<a name="44"><span class="lineNum">      44 </span>            :     // select a pivot at random</a>
+<a name="45"><span class="lineNum">      45 </span><span class="lineCov">     526786 :     int64_t pivot = ((n &lt; LG_RANDOM15_MAX) ?</span></a>
+<a name="46"><span class="lineNum">      46 </span><span class="lineCov">     526786 :         LG_Random15 (seed) : LG_Random60 (seed)) % n ;</span></a>
+<a name="47"><span class="lineNum">      47 </span>            : </a>
+<a name="48"><span class="lineNum">      48 </span>            :     // get the Pivot</a>
+<a name="49"><span class="lineNum">      49 </span><span class="lineCov">     526786 :     int64_t Pivot_0 [1] ; Pivot_0 [0] = A_0 [pivot] ;</span></a>
+<a name="50"><span class="lineNum">      50 </span>            :     #if LG_K &gt; 1</a>
+<a name="51"><span class="lineNum">      51 </span><span class="lineCov">     423972 :     int64_t Pivot_1 [1] ; Pivot_1 [0] = A_1 [pivot] ;</span></a>
+<a name="52"><span class="lineNum">      52 </span>            :     #endif</a>
+<a name="53"><span class="lineNum">      53 </span>            :     #if LG_K &gt; 2</a>
+<a name="54"><span class="lineNum">      54 </span><span class="lineCov">     112526 :     int64_t Pivot_2 [1] ; Pivot_2 [0] = A_2 [pivot] ;</span></a>
+<a name="55"><span class="lineNum">      55 </span>            :     #endif</a>
+<a name="56"><span class="lineNum">      56 </span>            : </a>
+<a name="57"><span class="lineNum">      57 </span>            :     // At the top of the while loop, A [left+1...right-1] is considered, and</a>
+<a name="58"><span class="lineNum">      58 </span>            :     // entries outside this range are in their proper place and not touched.</a>
+<a name="59"><span class="lineNum">      59 </span>            :     // Since the input specification of this function is to partition A</a>
+<a name="60"><span class="lineNum">      60 </span>            :     // [0..n-1], left must start at -1 and right must start at n.</a>
+<a name="61"><span class="lineNum">      61 </span><span class="lineCov">     526786 :     int64_t left = -1 ;</span></a>
+<a name="62"><span class="lineNum">      62 </span><span class="lineCov">     526786 :     int64_t right = n ;</span></a>
+<a name="63"><span class="lineNum">      63 </span>            : </a>
+<a name="64"><span class="lineNum">      64 </span>            :     // keep partitioning until the left and right sides meet</a>
+<a name="65"><span class="lineNum">      65 </span><span class="lineCov">   13413610 :     while (true)</span></a>
+<a name="66"><span class="lineNum">      66 </span>            :     {</a>
+<a name="67"><span class="lineNum">      67 </span>            :         // loop invariant:  A [0..left] &lt; pivot and A [right..n-1] &gt; pivot,</a>
+<a name="68"><span class="lineNum">      68 </span>            :         // so the region to be considered is A [left+1 ... right-1].</a>
+<a name="69"><span class="lineNum">      69 </span>            : </a>
+<a name="70"><span class="lineNum">      70 </span>            :         // increment left until finding an entry A [left] &gt;= pivot</a>
+<a name="71"><span class="lineNum">      71 </span><span class="lineCov">   39729138 :         do { left++ ; } while (LG_lt (A, left, Pivot, 0)) ;</span></a>
+<a name="72"><span class="lineNum">      72 </span>            : </a>
+<a name="73"><span class="lineNum">      73 </span>            :         // decrement right until finding an entry A [right] &lt;= pivot</a>
+<a name="74"><span class="lineNum">      74 </span><span class="lineCov">   41263801 :         do { right-- ; } while (LG_lt (Pivot, 0, A, right)) ;</span></a>
+<a name="75"><span class="lineNum">      75 </span>            : </a>
+<a name="76"><span class="lineNum">      76 </span>            :         // now A [0..left-1] &lt; pivot and A [right+1..n-1] &gt; pivot, but</a>
+<a name="77"><span class="lineNum">      77 </span>            :         // A [left] &gt; pivot and A [right] &lt; pivot, so these two entries</a>
+<a name="78"><span class="lineNum">      78 </span>            :         // are out of place and must be swapped.</a>
+<a name="79"><span class="lineNum">      79 </span>            : </a>
+<a name="80"><span class="lineNum">      80 </span>            :         // However, if the two sides have met, the partition is finished.</a>
+<a name="81"><span class="lineNum">      81 </span><span class="lineCov">   13940396 :         if (left &gt;= right)</span></a>
+<a name="82"><span class="lineNum">      82 </span>            :         {</a>
+<a name="83"><span class="lineNum">      83 </span>            :             // A has been partitioned into A [0:right] and A [right+1:n-1].</a>
+<a name="84"><span class="lineNum">      84 </span>            :             // k = right+1, so A is split into A [0:k-1] and A [k:n-1].</a>
+<a name="85"><span class="lineNum">      85 </span><span class="lineCov">     526786 :             return (right + 1) ;</span></a>
+<a name="86"><span class="lineNum">      86 </span>            :         }</a>
+<a name="87"><span class="lineNum">      87 </span>            : </a>
+<a name="88"><span class="lineNum">      88 </span>            :         // since A [left] &gt; pivot and A [right] &lt; pivot, swap them</a>
+<a name="89"><span class="lineNum">      89 </span><span class="lineCov">   13413610 :         LG_swap (A, left, right) ;</span></a>
+<a name="90"><span class="lineNum">      90 </span>            : </a>
+<a name="91"><span class="lineNum">      91 </span>            :         // after the swap this condition holds:</a>
+<a name="92"><span class="lineNum">      92 </span>            :         // A [0..left] &lt; pivot and A [right..n-1] &gt; pivot</a>
+<a name="93"><span class="lineNum">      93 </span>            :     }</a>
+<a name="94"><span class="lineNum">      94 </span>            : }</a>
+<a name="95"><span class="lineNum">      95 </span>            : </a>
+<a name="96"><span class="lineNum">      96 </span>            : //------------------------------------------------------------------------------</a>
+<a name="97"><span class="lineNum">      97 </span>            : // LG_quicksort: recursive single-threaded quicksort</a>
+<a name="98"><span class="lineNum">      98 </span>            : //------------------------------------------------------------------------------</a>
+<a name="99"><span class="lineNum">      99 </span>            : </a>
+<a name="100"><span class="lineNum">     100 </span><span class="lineCov">    1055716 : static void LG_quicksort    // sort A [0:n-1]</span></a>
+<a name="101"><span class="lineNum">     101 </span>            : (</a>
+<a name="102"><span class="lineNum">     102 </span>            :     LG_args (A),            // array(s) to sort</a>
+<a name="103"><span class="lineNum">     103 </span>            :     const int64_t n,        // size of the array(s) to sort</a>
+<a name="104"><span class="lineNum">     104 </span>            :     uint64_t *seed,         // random number seed</a>
+<a name="105"><span class="lineNum">     105 </span>            :     LG_void *tx</a>
+<a name="106"><span class="lineNum">     106 </span>            : )</a>
+<a name="107"><span class="lineNum">     107 </span>            : {</a>
+<a name="108"><span class="lineNum">     108 </span>            : </a>
+<a name="109"><span class="lineNum">     109 </span><span class="lineCov">    1055716 :     if (n &lt; 20)</span></a>
+<a name="110"><span class="lineNum">     110 </span>            :     {</a>
+<a name="111"><span class="lineNum">     111 </span>            :         // in-place insertion sort on A [0:n-1], where n is small</a>
+<a name="112"><span class="lineNum">     112 </span><span class="lineCov">    5852040 :         for (int64_t k = 1 ; k &lt; n ; k++)</span></a>
+<a name="113"><span class="lineNum">     113 </span>            :         {</a>
+<a name="114"><span class="lineNum">     114 </span><span class="lineCov">   13505041 :             for (int64_t j = k ; j &gt; 0 &amp;&amp; LG_lt (A, j, A, j-1) ; j--)</span></a>
+<a name="115"><span class="lineNum">     115 </span>            :             {</a>
+<a name="116"><span class="lineNum">     116 </span>            :                 // swap A [j-1] and A [j]</a>
+<a name="117"><span class="lineNum">     117 </span><span class="lineCov">    8181931 :                 LG_swap (A, j-1, j) ;</span></a>
+<a name="118"><span class="lineNum">     118 </span>            :             }</a>
+<a name="119"><span class="lineNum">     119 </span>            :         }</a>
+<a name="120"><span class="lineNum">     120 </span>            :     }</a>
+<a name="121"><span class="lineNum">     121 </span>            :     else</a>
+<a name="122"><span class="lineNum">     122 </span>            :     {</a>
+<a name="123"><span class="lineNum">     123 </span>            :         // partition A [0:n-1] into A [0:k-1] and A [k:n-1]</a>
+<a name="124"><span class="lineNum">     124 </span><span class="lineCov">     526786 :         int64_t k = LG_partition (LG_arg (A), n, seed, tx) ;</span></a>
+<a name="125"><span class="lineNum">     125 </span>            : </a>
+<a name="126"><span class="lineNum">     126 </span>            :         // sort each partition</a>
+<a name="127"><span class="lineNum">     127 </span><span class="lineCov">     526786 :         LG_quicksort (LG_arg (A), k, seed, tx) ;             // sort A [0:k-1]</span></a>
+<a name="128"><span class="lineNum">     128 </span><span class="lineCov">     526786 :         LG_quicksort (LG_arg_offset (A, k), n-k, seed, tx) ; // sort A [k+1:n-1]</span></a>
+<a name="129"><span class="lineNum">     129 </span>            :     }</a>
+<a name="130"><span class="lineNum">     130 </span><span class="lineCov">    1055716 : }</span></a>
+</pre>
+      </td>
+    </tr>
+  </table>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php" target="_parent">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/index-sort-f.html b/src/utility/index-sort-f.html
new file mode 100644
index 0000000000..9d91cd33b3
--- /dev/null
+++ b/src/utility/index-sort-f.html
@@ -0,0 +1,593 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">1725</td>
+            <td class="headerCovTableEntry">1725</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SampleDegree.c.gcov.html">LAGr_SampleDegree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">27 / 27</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_DeleteSelfEdges.c.gcov.html">LAGraph_DeleteSelfEdges.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Graph_Print.c.gcov.html">LAGraph_Graph_Print.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_InDegree.c.gcov.html">LAGraph_Cached_InDegree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">21 / 21</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_qsort_2.c.gcov.html">LG_qsort_2.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_GetNumThreads.c.gcov.html">LAGraph_GetNumThreads.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SizeOfType.c.gcov.html">LAGraph_SizeOfType.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Vector_Structure.c.gcov.html">LAGraph_Vector_Structure.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">9 / 9</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_NSelfEdges.c.gcov.html">LAGraph_Cached_NSelfEdges.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_NameOfType.c.gcov.html">LAGraph_NameOfType.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">18 / 18</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">332 / 332</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">7 / 7</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Vector_Print.c.gcov.html">LAGraph_Vector_Print.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">40 / 40</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Matrix_Print.c.gcov.html">LAGraph_Matrix_Print.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">39 / 39</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+    </tr>
+  </table>
+  </center>
+  <br>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
+
+</body>
+</html>
diff --git a/src/utility/index-sort-l.html b/src/utility/index-sort-l.html
new file mode 100644
index 0000000000..95dcac882d
--- /dev/null
+++ b/src/utility/index-sort-l.html
@@ -0,0 +1,593 @@
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
+            <td width="10%" class="headerCovTableHead">Hit</td>
+            <td width="10%" class="headerCovTableHead">Total</td>
+            <td width="15%" class="headerCovTableHead">Coverage</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
+            <td></td>
+            <td class="headerItem">Lines:</td>
+            <td class="headerCovTableEntry">1725</td>
+            <td class="headerCovTableEntry">1725</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
+            <td class="headerValue">2024-08-30 17:16:41</td>
+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntry">100</td>
+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><a href="index.html"><img src="../../updown.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></a></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Init.c.gcov.html">LAGraph_Init.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_qsort_2.c.gcov.html">LG_qsort_2.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_qsort_1a.c.gcov.html">LG_qsort_1a.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_qsort_3.c.gcov.html">LG_qsort_3.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">4 / 4</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_NSelfEdges.c.gcov.html">LAGraph_Cached_NSelfEdges.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_TypeFromName.c.gcov.html">LAGraph_TypeFromName.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">5 / 5</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_GetNumThreads.c.gcov.html">LAGraph_GetNumThreads.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SizeOfType.c.gcov.html">LAGraph_SizeOfType.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_WallClockTime.c.gcov.html">LAGraph_WallClockTime.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Free.c.gcov.html">LAGraph_Free.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">6 / 6</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_SetNumThreads.c.gcov.html">LAGraph_SetNumThreads.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Delete.c.gcov.html">LAGraph_Delete.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">8 / 8</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Vector_Structure.c.gcov.html">LAGraph_Vector_Structure.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">9 / 9</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Version.c.gcov.html">LAGraph_Version.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">9 / 9</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_KindName.c.gcov.html">LG_KindName.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">9 / 9</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_DeleteSelfEdges.c.gcov.html">LAGraph_DeleteSelfEdges.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Matrix_Structure.c.gcov.html">LAGraph_Matrix_Structure.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_Random.c.gcov.html">LG_Random.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">10 / 10</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Malloc.c.gcov.html">LAGraph_Malloc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_TypeName.c.gcov.html">LAGraph_TypeName.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">12 / 12</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Calloc.c.gcov.html">LAGraph_Calloc.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">14 / 14</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_OutDegree.c.gcov.html">LAGraph_Cached_OutDegree.c</a></td>
+      <td class="coverBar" align="center">
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_nself_edges.c.gcov.html">LG_nself_edges.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_DeleteCached.c.gcov.html">LAGraph_DeleteCached.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_AT.c.gcov.html">LAGraph_Cached_AT.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LG_internal.h.gcov.html">LG_internal.h</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
+      </td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">16 / 16</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">2 / 2</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_NameOfType.c.gcov.html">LAGraph_NameOfType.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">18 / 18</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_InDegree.c.gcov.html">LAGraph_Cached_InDegree.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">21 / 21</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGraph_New.c.gcov.html">LAGraph_New.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
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diff --git a/src/utility/index.html b/src/utility/index.html
new file mode 100644
index 0000000000..013c072c3c
--- /dev/null
+++ b/src/utility/index.html
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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
+
+<html lang="en">
+
+<head>
+  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>LCOV - LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z - src/utility</title>
+  <link rel="stylesheet" type="text/css" href="../../gcov.css">
+</head>
+
+<body>
+
+  <table width="100%" border=0 cellspacing=0 cellpadding=0>
+    <tr><td class="title">LCOV - code coverage report</td></tr>
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+
+    <tr>
+      <td width="100%">
+        <table cellpadding=1 border=0 width="100%">
+          <tr>
+            <td width="10%" class="headerItem">Current view:</td>
+            <td width="35%" class="headerValue"><a href="../../index.html">top level</a> - src/utility</td>
+            <td width="5%"></td>
+            <td width="15%"></td>
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+          <tr>
+            <td class="headerItem">Test:</td>
+            <td class="headerValue">LAGraph code coverage report. Commit id: cc56ed4. Current time (UTC): 2024-08-30T17:14:30Z</td>
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+            <td class="headerCovTableEntryHi">100.0 %</td>
+          </tr>
+          <tr>
+            <td class="headerItem">Date:</td>
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+            <td></td>
+            <td class="headerItem">Functions:</td>
+            <td class="headerCovTableEntry">100</td>
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+            <td class="headerCovTableEntryHi">100.0 %</td>
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+          <tr><td><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+        </table>
+      </td>
+    </tr>
+
+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+  </table>
+
+  <center>
+  <table width="80%" cellpadding=1 cellspacing=1 border=0>
+
+    <tr>
+      <td width="50%"><br></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+      <td width="10%"></td>
+    </tr>
+
+    <tr>
+      <td class="tableHead">Filename <span class="tableHeadSort"><img src="../../glass.png" width=10 height=14 alt="Sort by name" title="Sort by name" border=0></span></td>
+      <td class="tableHead" colspan=3>Line Coverage <span class="tableHeadSort"><a href="index-sort-l.html"><img src="../../updown.png" width=10 height=14 alt="Sort by line coverage" title="Sort by line coverage" border=0></a></span></td>
+      <td class="tableHead" colspan=2>Functions <span class="tableHeadSort"><a href="index-sort-f.html"><img src="../../updown.png" width=10 height=14 alt="Sort by function coverage" title="Sort by function coverage" border=0></a></span></td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">62 / 62</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">3 / 3</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SampleDegree.c.gcov.html">LAGr_SampleDegree.c</a></td>
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+      <td class="coverNumHi">1 / 1</td>
+    </tr>
+    <tr>
+      <td class="coverFile"><a href="LAGr_SortByDegree.c.gcov.html">LAGr_SortByDegree.c</a></td>
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+      <td class="coverFile"><a href="LAGraph_Cached_EMax.c.gcov.html">LAGraph_Cached_EMax.c</a></td>
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+      <td class="coverNumHi">23 / 23</td>
+      <td class="coverPerHi">100.0&nbsp;%</td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+    <tr>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LAGraph_Cached_NSelfEdges.c.gcov.html">LAGraph_Cached_NSelfEdges.c</a></td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
+      <td class="coverNumHi">1 / 1</td>
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+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+    <tr>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_qsort_3.c.gcov.html">LG_qsort_3.c</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverNumHi">1 / 1</td>
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+    <tr>
+      <td class="coverFile"><a href="LG_qsort_template.h.gcov.html">LG_qsort_template.h</a></td>
+      <td class="coverBar" align="center">
+        <table border=0 cellspacing=0 cellpadding=1><tr><td class="coverBarOutline"><img src="../../emerald.png" width=100 height=10 alt="100.0%"></td></tr></table>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+      <td class="coverPerHi">100.0&nbsp;%</td>
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+  </center>
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+    <tr><td class="ruler"><img src="../../glass.png" width=3 height=3 alt=""></td></tr>
+    <tr><td class="versionInfo">Generated by: <a href="http://ltp.sourceforge.net/coverage/lcov.php">LCOV version 1.14</a></td></tr>
+  </table>
+  <br>
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+</body>
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