Precedences for Del, DifferentialD and CapitalDifferentialD

Makefile

@@ -79,6 +79,7 @@ inputrc-unicode:
 #: Run Mathics core checks
 check-mathics::
 	MATHICS_CHARACTER_ENCODING="ASCII" $(PYTHON) -m mathics.docpipeline $o
+	pytest test/test_mathics_precedence.py
 
 #: Remove ChangeLog
 rmChangeLog:

mathics_scanner/data/named-characters.yml

@@ -6920,7 +6920,6 @@ Nor:
   has-unicode-inverse: false
   is-letter-like: false
   operator-name: Nor
-  # No precedences since this gets transformed to Not[Or[expr]]
   unicode-equivalent: "\u22BD"
   unicode-equivalent-name: NOR
   unicode-reference: https://www.compart.com/en/unicode/U+22BD

mathics_scanner/data/operators.yml

@@ -490,7 +490,7 @@ Cap:
 
 CapitalDifferentialD:
   Precedence-Function: 550
-  precedence: 560
+  precedence: 550
   WolframLanguageData:
   WolframLanguageData-corrected: 23
   UnicodeCharacters.tr: 630
@@ -1119,7 +1119,7 @@ DifferenceDelta:
 
 DifferentialD:
   Precedence-Function: 550
-  precedence: 560
+  precedence: 550
   WolframLanguageData:
   WolframLanguageData-corrected: 23
   UnicodeCharacters.tr: 630

test/mathics_helper.py

@@ -0,0 +1,168 @@
+# -*- coding: utf-8 -*-
+import os.path as osp
+import time
+from typing import Optional
+
+from mathics.core.load_builtin import import_and_load_builtins
+from mathics.session import MathicsSession
+
+import_and_load_builtins()
+
+# Set up a Mathics session with definitions.
+# For consistency set the character encoding ASCII which is
+# the lowest common denominator available on all systems.
+session = MathicsSession(character_encoding="ASCII")
+
+# Set up a data path that can be used in testing
+data_dir = osp.normpath(osp.join(osp.dirname(__file__), "data"))
+
+
+def reset_session(add_builtin=True, catch_interrupt=False):
+    """
+    reset the session cleaning all the definitions.
+    """
+    global session
+    session.reset()
+    session.evaluate("SetDirectory[$TemporaryDirectory];")
+
+
+def evaluate_value(str_expr: str):
+    return session.evaluate(str_expr).value
+
+
+def evaluate(str_expr: str):
+    return session.evaluate(str_expr)
+
+
+def check_evaluation(
+    str_expr: Optional[str],
+    str_expected: Optional[str] = None,
+    failure_message: str = "",
+    hold_expected: bool = False,
+    to_string_expr: bool = True,
+    to_string_expected: bool = True,
+    to_python_expected: bool = False,
+    expected_messages: Optional[tuple] = None,
+):
+    """
+    Helper function to test Mathics expression against
+    its results.
+
+    Compares the expressions represented by ``str_expr`` and  ``str_expected`` by
+    evaluating the first, and optionally, the second. If omitted, `str_expected`
+    is assumed to be `"Null"`.
+
+    str_expr: The expression to be tested. If its value is ``None``, the session is
+              reset.
+              At the beginning of each set of pytests, it is important to call
+              ``check_evaluation(None)`` to avoid that definitions introduced by
+              other tests affect the results.
+
+    str_expected: The expected result. The value ``None`` is equivalent to ``"Null"``.
+
+    failure_message: message shown in case of failure. Use "" for no failure message.
+
+    hold_expected:   If ``False`` (default value) the ``str_expected`` is evaluated.
+                     Otherwise, the expression is considered literally.
+
+    to_string_expr: If ``True`` (default value) the result of the evaluation is
+                    converted into a Python string. Otherwise, the expression is kept
+                    as an Expression object.
+                    If this argument is set to ``None``, the session is reset.
+
+    to_string_expected: If ``True`` (default value) the expected expression is
+                        evaluated and then converted to a Python string. result of the
+                        evaluation is converted into a Python string.
+                        If ``False``, the expected expression is kept as an Expression
+                        object.
+
+    to_python_expected: If ``True``, and ``to_string_expected`` is ``False``, the result
+                        of evaluating ``str_expr``is compared against the result of the
+                        evaluation of ``str_expected``, converted into a
+                        Python object.
+
+    expected_messages: If a tuple of strings are passed into
+                       this parameter, messages and prints raised during
+                       the evaluation of ``str_expr`` are compared with the elements of
+                       the list. If ``None``, this comparison
+                       is omitted.
+    """
+    if str_expr is None:
+        reset_session()
+        return
+    if str_expected is None:
+        str_expected = "Null"
+
+    if to_string_expr:
+        str_expr = f"ToString[{str_expr}]"
+        result = evaluate_value(str_expr)
+    else:
+        result = evaluate(str_expr)
+
+    outs = [out.text for out in session.evaluation.out]
+
+    if to_string_expected:
+        if hold_expected:
+            expected = str_expected
+        else:
+            str_expected = f"ToString[{str_expected}]"
+            expected = evaluate_value(str_expected)
+    else:
+        if hold_expected:
+            if to_python_expected:
+                expected = str_expected
+            else:
+                expected = evaluate(f"HoldForm[{str_expected}]").elements[0]
+        else:
+            expected = evaluate(str_expected)
+            if to_python_expected:
+                expected = expected.to_python(string_quotes=False)
+
+    print(time.asctime())
+    if failure_message:
+        print((result, expected))
+        assert result == expected, failure_message
+    else:
+        print((result, expected))
+        assert result == expected
+
+    if expected_messages is not None:
+        msgs = list(expected_messages)
+        expected_len = len(msgs)
+        got_len = len(outs)
+        assert (
+            expected_len == got_len
+        ), f"expected {expected_len}; got {got_len}. Messages: {outs}"
+        for out, msg in zip(outs, msgs):
+            if out != msg:
+                print(f"out:<<{out}>>")
+                print(" and ")
+                print(f"expected=<<{msg}>>")
+                assert False, " do not match."
+
+
+def check_evaluation_as_in_cli(
+    str_expr: Optional[str] = None,
+    str_expected: Optional[str] = None,
+    failure_message: str = "",
+    expected_messages: Optional[tuple] = None,
+):
+    """
+    Use this method when special Symbols like Return, %, %%,
+    $IterationLimit, $RecursionLimit, etc. are used in the tests.
+    """
+    if str_expr is None:
+        reset_session()
+        return
+
+    res = session.evaluate_as_in_cli(str_expr)
+    if expected_messages is None:
+        assert len(res.out) == 0
+    else:
+        assert len(res.out) == len(expected_messages)
+        for li1, li2 in zip(res.out, expected_messages):
+            assert li1.text == li2
+
+    if failure_message:
+        assert res.result == str_expected, failure_message
+    assert res.result == str_expected